Most of us don't know it. It isn't easy to tell until you get a glimpse of the bit being missed, sort of like having your vision restored after cataracts have reduced you to near grayscale levels.You could just say “I am a p-zombie”. — Michael
Hence my attempt with the car, which very much is aware of its surroundings, but 'aware' is perhaps one of those forbidden words. It all smacks of racism. They basically degraded black slaves by refusing to use human terms for anything related to them, using cattle terms instead,.It made it easy to justify how they were treated. "Cows don't feel pain. Neither do p-zombies. It's not immoral to set em on fire."You’ll need to explain it in these terms. — Michael
I didn't say the statement "so he says he feels pain, not knowing that it isn't real pain" was true.I don't agree with this. "so he says he feels pain, not knowing that it isn't real pain". That's an epistemic issue, not a truth issue. For any x, if x is not feeling pain/hurting, and x says it is feeling pain/hurting, x is wrong. X is saying something false. — RogueAI
That's just using a language bias to attempt a demonstration of a difference where there isn't one. A Roomba cannot be conscious because you define 'conscious' to only apply to humans. That doesn't demonstrate that a pimped-out Roomba isn't doing the exact same thing, it only means that the Roomba needs to pick a different word for the exact same thing, and then tell the human that he isn't that sort of conscious because he's an inferior human.But this isn't true for you. — RogueAI
What is the computer doing then when it processes data from a camera pointed at a table. The computer 'concludes' (probably a forbidden word) that there is a table in front of the camera in question, and outputs a statement "there seems to be a table in front of the camera". You say it's not a mental activity. I agree with that. That usage of "mental activity" only applies to an immaterial mind such as Chalmers envisions. So OK, you can't express that the computer believes there's a table there, or that it concludes that. How do you phrase what the computer does when it does the exact same thing as the human, which is deduce (presumably another forbidden word) the nature of the object in the field of view.But belief is a conscious mental activity. P-belief/p-consider is incoherent. It's missing a necessary condition for anything that remotely resembles believing and considering. — RogueAI
So I claim I'm doing. But how would you express what the p-zombie does when it correctly identifies the table in front of it that it cannot 'see'?The answer is that it would behave as its physical circumstances dictate. — Banno
I do, and you don't. So why are we indistinguishable (except for me deciding to stop imitating the language you use for that which I cannot ever know)?We don't behave this way — RogueAI
Well, per Michael, this includes false claims of belief. I'm doing something that I think is belief, but Michael says it's by definition false.By definition they behave as we do. This includes belief. — hypericin
No, it's true by definition, regardless of what says it. The p-zombie might not feel actual pain, but says he does anyway since he very much detects the undesirable sense of injury, and he has no actual reference to what true pain feels like, so he says he feels pain, not knowing that it isn't real pain, just an interpretation of sensory data.When humans say "pain hurts" it's true. When a p-zombie says it, it's not. — RogueAI
You're definitely confusing me when y'all say there's a whole vocabulary that I'm not allowed to use, and without giving me replacement words. So I use the words.Wouldn't they just be confused about what "hurting" is?
It is truth, but 'hurts' to me is just detection of signals of injury. It's not like I lie and don't actually get this sensory input. But the extra bit, that which I would be totally unaware except for people talking about how obvious and inexplicable it is, only the talk of that makes me aware of something more that should be there.I assume you are telling the truth when you say "pain hurts"
I would hope so. They invented sex after all.Perhaps they have desires and urges we're not aware of. — RogueAI
Yes, but any p-zombie or human would say that. It's not a question that distinguishes the two cases. I've been taught that 'hurt' and 'feel bad' are appropriate ways to express the state of my information processor when it detects signals originating from nociceptors. Most self-driving cars don't have these, so in that sense, the car is a poor example.Does pain hurt? Does it feel bad? — RogueAI
OK, 'belief' is one of those things reserved. It is not appropriate to say that a self-driving car believes that steering onto the soft shoulder at speed would be a poor choice. Different language must be used.1. “I consider myself to be a p-zombie” is false because you are a p-zombie and so don’t believe anything. — Michael
OK, so it's false, only because the actual p-zombie is not allowed to use the phrasing. The p-zombie differs on that ruling.The statement “I consider myself to be a p-zombie” is only true if you are not a p-zombie and so no rational person can believe themselves to be a p-zombie.
Belief in it is critical to the argument. The p-zombie apparently isn't allowed to 'believe', so there's seemingly no position from which an actual p-zombie can argue his case.It is a thought experiment, it is an open question whether it is believable or not. — hypericin
I react to data from my senses. So yes, I am conscious in the same way that a self-driving car is conscious of the traffic around it.Are you conscious?. — hypericin
Then the P-zombie argument falls flat because it is unbelievable that something could behave identically externally without that extra thing on the inside. The argument hinges on not being able to tell. So you must believe.I find it very hard to believe. — hypericin
They'd act very different if they didn't look like that. As said in terminator, I sense injuries. The data could be called "pain.". I react in a way that attempts to minimize that pain, sometimes quite irrationally. The face expressions? Those seem to come from subconscious places to which I have no direct access. A sleeping (unconscious) person will still wince in pain given certain stimuli.Do p-zombies ever look like they're in pain, or sad, or happy? — RogueAI
They're supposed to be indistinguishable, so yes, they would display urges, emotions, and children. I consider myself to be a p-zombie. OK, my kids are a bit off the curve, but I display emotions and talk about qualia, mostly because I learned the language from you non-zombies, not because there's that inexplicable extra bit that seemingly defies 'physical explanation'.P-zombies don't have urges or emotions, so why would they reproduce? — RogueAI
First you've mentioned 'straight sides'. Also first you've mentioned a 2D plane. This comes back to my point, which you predictably have totally missed besides it being emphasized multiple times: State your premises, because the assessment of 'impossible' or not depends on them.Please show how "all points on a two dimensional surface that are equidistant from the center"
and these exact same points form four straight sides of equal length in the same two dementional plane. — PL Olcott
Tip O' the hat to magritte, who actually paid attention to my point, and similarly did not see a restriction to Euclidean space, which is interesting because our universe is not Euclidean, so it's not an obvious assumption to make. One can draw a square circle on the 2D closed plane of the surface of (an idealized) Earth. It would have four equal length straight sides.On the surface of the Earth, — magritte
I think only a mod can change the subject of a topic, so it is safe.changing the subject to the not logically impossible — PL Olcott
Not logically impossible. I suppose it depends on your definitions, and 'is perfectly round' is a poor definition of a circle. More like 'all points on a two dimensional surface that are equidistant from the center. Given that and 'four equal sides' (and maybe four equal angles to eliminate a rhombus) as a square, it is not logically impossible.It is logically impossible to draw a square circle because it must be perfectly round AND not round at all with four equal length sides. — PL Olcott
The inability to do an impossible thing isn't a limit? What is 'impossible' if not a limit?It is clear that the impossibility of creating a CAD system that can correctly draw square circles places no limits on what computers can do.
Godel showed that the program H cannot solve the task to which it is put. You seem to know this since you reference the halting problem. I was just discussing this very thing in another thread.It is less clear that requiring a program H to report on the behavior of another program D that does the opposite of whatever H says is a logical impossibility when we see that program H1 can correctly say what D will do.
Again, I don't find it logically impossible. All you need is to prevent access of H to the inputs of D. This again illustrates the fact that you've presuming conditions which have not explicitly been stated, same as the square circle.So the when the {halting problem} requires a program H to always say whatever program D will do includes programs that do the opposite of whatever H says this is requiring the logically impossible, thus the same as requiring a CAD system to correctly draw square circles.
Agree, squaring the circle is an exercise in what can and cannot be constructed with a compass and straight edge. But the thing you list as impossible can be done, even without drawing a rhombus, which fits your definition of a square.I am talking about creating a perfectly round thing that
cannot be round because it has four equal length sides,
thus a logically impossible square circle. — PL Olcott
I disagree about it not thinking, but yes, it leverages its far faster reaction time to see what the human hand is going for and bases its choice on that. For that to work, it must think, and very quickly. It would be instructive to put the robot in front of a mirror.First, the robots that beat humans at rock, paper, scissors 100% of the time essentially cheat (that is they don't have any "thinking" algorithm) — LuckyR
Well, the data is that it knows exactly how the other robot is programmed, and thus it knows that its choice is determined. But the programmer knows the task to be mathematically impossible, leaving him with nothing to attempt the task.As to robot vs robot, since there is no "data" to enter into the algorithm to truly predict what the other robot will choose, the programmer has used some other way to come up with a choice.
But the robot does know its opponent's algorithm, and is nevertheless incapable of predicting its outcome. That's the point I'm trying to make: illustration of the difference between determinism and predictability. You seem to see it.If one knows what the algorithm is, one can reproduce it.
That it is, but the antecedent states are never the same. Something critical is different when a different choice is made. Humans cannot be aware of that because they're never get to do anything twice. An antecedent state is never repeated. So the common human experience is of not always choosing the same thing, which, coupled with a naive assessment of identical antecedent state, results in what others have called 'the illusion of freedom'.in choice. Perhaps this is what you're getting at. The 'other factors' is simply antecedent states that are not identical. A huge factor is simply memory of the last time this choice came up, and wanting to not do the same thing all the time, hence picking a different ice cream today because you remember vanilla from last time.As to pondering leading to different choices with the same input, I agree with you that humans commonly use the same analysis based on memories, emotions, objective variables such as price etc, however the priotization of the numerous variables leading to different choices in essentially identical situations is a common human experience.
Humans don't freeze in that scenario. It's called a metastable state, and we have a very fast mechanism to break such states, as is necessary for survival.If what you imagine is going on in the Black Box of human decision making was actually true, when faced with a decision between two choices of equal merit, humans would be unable to make a choice, yet we do every day.
Can he now? Maybe if the program is really trivial, making no attempt to work out what the other robot would do. Otherwise, you need to back that statement up.Well the programmer of the robot can predict with 100% accuracy what his robot is going to choose. — LuckyR
These are deterministic algorithms. A computer has no instruction for randomness, so no, there is no equal probability. Neither do you have such a randomness amplifier, even though creatures would have evolved one had there been any survival benefit to it.Unless his program notes (accurately) that the three options are equally probable and therefore it chooses randomly.
I think the word 'pondering' went by. Anything (human, machine, whatever) can do that much even under hard determinism, so thinking" or "choosing" only lets you make a better choice. It isn't what is going to make it possible for an antecedent state leading to many possible resultant states. You seem to conflate a good choice with a free one. Your choice is not free by the definition you give.As to the factor, lay persons call it thinking" or "choosing". I'm not much into labels.
You have a machine that is entirely deterministic and classical: It executes instructions, and its purpose is to win rock-paper-scissors. Make it as simple or complex, slow or fast as you want. Its opponent is an identical robot, and both of them know that. The way the program works is to predict what the other robot will do (something that is completely determined ahead of time) and play the output that beats that.I’d love to hear the details of this trivial experiment. — LuckyR
Who ever claimed that the view had a practical value? I suppose its value lies in the fact that true randomness doesn't come into play, a priority that ranks high in some people's opinion, notably Einstein who was quite vocal about his distaste of randomness (and non-locality).If a Determinist can’t use his Determinism to predict outcomes, what is the practical value of this Determinism?
Doesn't work, per Godel. One can know the initial conditions perfectly and still not be able to predict the outcome. Pretty trivial to set up an experiment that illustrates this. Determinism or not is an unknown. Predictability is not an unknown.One explanation of this is that initial conditions Determine decision making but we just don't currently know those conditions with enough detail. — LuckyR
If they state a contrary opinion, sure, since opinions are often based on beliefs. I try not to let my beliefs clutter a topic that isn't mine. I've been known to attack posters expressing beliefs in line with mine if I think their reasoning doesn't hold up.You may be unimpressed with those who I have conversed with before (which is entirely reasonable) yet at least when they state a contrary opinion or fact those represent their beliefs. — LuckyR
What, the different definition? I've mentioned that a few times. My choices are free if I'm the one making them, and not something else making them for me. Rabies was one example. I consider myself free willed because I'm not rabid, with my will being bent to the purposes of the Rabies instead of to my own purposes.could you please enlighten me with what you're referring to above. — LuckyR
Well, under MWI it can, but I never said MWI was my view, so the above comment seems to be just something you made up. Bohmian mechanics is the only other prominent deterministic interpretation and state X cannot lead to different resultant states according to it.Well, since in your view, Determinism can have antecedent state X leading to many possible resultant states — LuckyR
Ah, so your 'other factors' are simply antecedent states of something other than the brain. Yes, hopefully all decisions are based on such things, else sensory organs would be pointless. But if you include all antecedent states and not just the brain ones, then under determinism 'antecedent state X leads to' only one resultant state (not an actual choice by your assertions), and under non-determinism, it still leads to only one resultant state unless either randomness or some physics violation goes on, the only two choices I could think of.I am somewhat amused that you're stumped as to what additional factors might be responsible for multiple resultant states that are not "randomness", yet you provided one yourself. Namely traffic patterns when deciding when to cross the street. — LuckyR
OK, the street crossing example pretty much shoots that idea down, but I seriously doubt a determinist would make any such assertion unless they're incapable of logic, which I admit plenty are.Bottom line, I have previously conversed with Determinists who do believe 1) it's all about the antecedent brain state, — LuckyR
I think I know what they mean by that, but it makes it sound like we don't actually ponder at all. Why did humans evolve such an expensive brain (that has killed so many of us due to its cost) if it doesn't actually help make better decisions by 'pondering' better? Pondering is there since it is simply a deterministic mechanism doing what it's supposed to do. The illusion is that it is free, by the definition where multiple subsequent states can result from an antecedent state. But by those assertions, not sure why 'free' would be a good thing. I have a different definition of a free choice, one where it very much is a good thing.2) what we subjectively experience as pondering is an illusion
That sounds like Bohmian thinking. If so, they're right about that one. Still, I'm not impressed with the quality of the determinists with which you speak if they actually say especially the first thing, but I am also not impressed with your ability to actually convey somebody else's position, especially given the statement above headed by the words "in your view" and then stating something that isn't my view.3) there is only a single possible resultant state.
The third one was, but again, it's not my view. Again, MWI is deterministic and it doesn't even assert the 3rd point. It says you choose both flavors, but not equally. The percentages of worlds with each choice getting less imbalanced the further back the antecedent state is. Far back enough and there are worlds where you don't even find yourself at the ice cream shop. Further back than that there's worlds without a you to make a decision.You've been clear, though that none of those 3 features of other's Determinism is part of your understanding of it.
I never said I was a determinist. I'm just trying to figure you out, and I still don't know the factor that allows you to not choose the same flavor each time given multiple identical antecedent states. You seem to evade the question, like it's embarrassing. You say you believe in free choice, but you don't identify the mechanism via which the choice might be different given the same antecedent state. Is it something only humans can do? Can I build a device that leverages the same technique? If so, how? If not, why not?I apologize for assuming your brand of Determinism was similar.
All that would be the same even under hard determinism. Are you changing your definition here?As a Free Will believer, I completely support the concept of (true) choice. In other words I believe that the conversation we each have in our minds where we go over the pros and cons, possible and probable outcomes, memories of similar incidents in the past, what have you, is where the choice is made, ie exactly as we perceive it in real time. — LuckyR
This is pretty funny since by this definition, we have free will even in a deterministic world because antecedent brain state X does not always lead to the same decision being made since decisions are not solely a function of the brain state. The decision of when to cross the street depends far more on the traffic than it does the antecedent brain state.Just to be clear, the ANTECEDENT brain state is what I describe as the physical and electrical state of the brain.
...
Long story short, in Determinism antecedent state X always leads to resultant answer Y, never Z. In Free Will antecedent state X can lead to resultant answer Y or Z depending on the decision making process which occurred. — LuckyR
What is this other factor? Because there is only one in physics, which is randomness. There is no other information that can help. So if you go by that, the only way to make a true choice is to ponder up two or more viable options and then make a true random (not determined) choice between them, perhaps weighted. There are physical ways to do that in a non-deterministic interpretation of QM, but human physiology doesn't seem to have any mechanism to leverage it.I happen to believe that while brain states can and do INFLUENCE decision making, that there is another factor beyond brain states that participate in TRUE decision making — LuckyR
I will agree that you don't use a definition that makes the two cases distinct. Others, especially proponents of free will, probably do. There is a difference using the definition I gave, but many people don't use my definition, or worse, they do, but word it like possession is a good thing.I think I agree with you that there isn't really a difference between "will" and "free will". — Jerry
Again, I think you should ask said proponent, since providing your own definition smacks of a strawman fallacy. It's why I'm trying to get a clear reply from those that I think are proponents.So just understand that I'm really just using the term "free will" because it's what most people use to denote this idea of one making choices not determined by anything else
Disagree here. A choice based (partly or entirely) on randomness would still be your choice, but it wouldn't be a better one.I also tend to agree that an indeterministic selection of choice based on randomness wouldn't be desirable; it runs into the same problems as determinism, that being the choice isn't yours.
Let me try to alter that to something closer to that which I might agree.So to me, to salvage our idea of free will, it must be the case that either: 1) we are capable of making our own choices despite being determined by prior causes, or 2) our choices are indeterminant in the sense that they are not determined by prior causes, but the mechanism by which the choice is selected is not random chance.
Well that eliminates a good deal of the deterministic options then.For what it's worth, btw, I don't think there must be a hidden variable of sorts in quantum mechanics,
Under my relational view, events don't have outcomes. Only measured things exist relative to a given event, and outcomes of an event cannot be measured by that event.For the record, as a relationalist, I think I qualify as a non-determinist since multiple different states can claim the same prior state.
— noAxioms
Isn't this what I asked when I talked about events with multiple outcomes?
MWI says that.In other words, causes that have multiple potential effects?
A very weak statement since gathering even rudimentary knowledge of the antecedent state would kill a person. Over short periods and at the bio-chemistry level, human physiology is very classical and would be quite predictable if the state could be measured. That is also a weak statement, amounting to an unbacked assertion. Still, the negation of it is pretty simple: Somewhere inside a human, physics is either violated, or (for unexplained purposes) quantum randomness is amplified. It would be a simple matter to look for structures where either takes place. Nobody has found one. Descartes put it in the pinial gland, probably due to the fact that it was safely inaccessible to falsification at the time. Any study of it would kill the subject.No one has been able to predict human decision making, no matter how detailed their knowledge of the antecedent state might be. — LuckyR
The are already far simpler systems that are nevertheless unpredictable, and that doesn't prove indeterminism. The ability to predict a classical system would similarly not constitute any kind of evidence of determinism.If such predictions could be made, it would be concrete proof of Determinism and a solid refutation of Free Will.
I figured that out pretty quick when you quoted the OP and said 'your thesis'.BTW my last comment ... that I addressed to you was actually meant for ↪Jerry! — Alkis Piskas
Disagree here. Yes, cellular automata is usually entirely deterministic, although one can design one that isn't. I can create something in a cellular automata, or say a Turning machine (also entirely deterministic), that makes choices, so I disagree that there's no room for anything that 'has a say', unless, like LuckyR, you deny the existence of choice just because they're the product of the laws chosen.Free will comes in because even this sort of hypothetical world seems deterministic, because everything obeys the laws, and if things obey laws (like a cellular automata for example), there doesn't seem to be room for anything in the world to have a say in the matter. — Jerry
There are other choices available. — noAxioms
By what definition of 'available' is that not the case? I mean, given unitary time evolution, entirely free choice (however you choose to envision it), some outcome will be chosen and the alternatives not chosen. It will never be chosen. So how is your use of the word 'available' any different that you consider the unchosen alternatives available?I am, in fact saying your use of the word "available" is nonstandard. If an "alternative" will never be selected, is it really available? — LuckyR
I seem to not be the only one noticing this lack of distinction that lends meaning to the word 'free'.Why do you all like to speak theoretically and hypothetically without any examples? Not a single example here. How can one relate all this with reality, the world, life and so on? How can one understand what do you actually have in mind? What is your frame of reference, the context in which you are referring to free will? — Alkis Piskas
Do the non-determinists say otherwise?? I mean, the statement simply says that each state is a function of prior state. Determinism doesn't seem to come into play since that's true even with non-deterministic interpretations.Determinists (that I commonly interact with) say that the brain state BEFORE Determines what happens DURING and therefore afterwards. — LuckyR
Well, I was looking for you or LuckyR to come up with an example of something having choice, but not free choice, will, but not free will. What distinction does the word 'free' make in either case? Both of you seem to equate them rather than hold them distinct.we both agree (I think) that we have the power to choose from alternate options, and so possess free will, — Jerry
An event is just that, one thing, and it doesn't have outcomes.Is it not possible for an event to have multiple possible outcomes, particularly in our reality? — Jerry
What alternative is there besides 'random'?And if it is possible for an event to have multiple possible outcomes, must it necessarily be random? — Jerry
This is a non-sequitur. There are other choices available. There is still a choice being made, and it is Y. It being entirely deterministic or not seems to have nothing to do with the fact that a choice is being made, and by something capable of considering alternatives.Firstly, if antecedent state X ALWAYS leads to resultant state Y, there can't be decision making going on since there are no other choices to choose between, it's always going to be Y — LuckyR
Agree, and furthermore, if said 'agent' actually knew said future, it wouldn't really be an agent any more than is a rock, which sort of brings up a contradiction of an omnipotent omniscient being powerful enough to alter what it knew was going to happen. Either way, the being could not be both omnipotent and omniscient.An agent who doesn't know what the future holds can still undergo a process of "decision making" even if that agent is fully deterministic and it will always make the same decision given the same starting state. — flannel jesus
I'm trying to take this apart. To 'do different' seems to simply mean that a choice is present. My typical example is crossing the street. One can go now, or 'do different' and wait for a gap in the traffic. Watching the traffic is the significant portion of the external input of which you speak.I am arguing that the free will I'm talking about—which is generally the ability to "do different", make choices that can alter your future—is dependent on prior physical state, as there has to be some input from the external world that may trigger an internal thought or decision. — Jerry
I don't see where free will comes into play here, vs doing the exact same thing without it. That's the part I'm trying to nail down. Having choice and having free will are not the same thing, but you seem to define it as simply having choice. Of course we have choice, else we'd not have evolved better brains to make better choices.free will (the ability to choose a path from multiple outcomes) is possible despite the external macro world (i.e. not the quantum realm in which things seem indeterministic) being deterministic
Well, it would be if physics was classical, but it isn't, so I cannot agree with a statement that macro-scale things are determined. They're just not. The existence of our solar system is a chance occurrence and would very likely not happen from an identical state of the local universe 10 billion years ago.Let me ask you directly: given that the macro-scale universe is causally determined
1) Yes, it is not only possible, but critical to be able to select from choices. As I said above, we'd not have evolved brains to make better choices if this were not so. If that is your definition of free will, then we have it, deterministic physics or not. It is kind of a Libertarian definition.do you think it's possible to still have the ability to choose different paths (free will)?
Irrelevant, and thus no, at least given that definition.Is the quantum phenomena involved in your assessment?
But the subsequent 'pondering' is also describable as physical and electrical state of the brain. They're just a little bit later. This is of course presuming that 'pondering' is a function of the brain, which plenty of people deny.Just to be clear, the ANTECEDENT brain state is what I describe as the physical and electrical state of the brain. While pondering occurs (obviously) DURING decision making (assuming there is, in fact decision making). Thus they are different entities, but are not mutually exclusive. — LuckyR
Given said determinism, agree. It doesn't mean that decision making is not going on, that choices are not being made. That would be fate, something different than determinism.Long story shory, in Determinism antecedent state X always leads to resultant answer Y, never Z.
There you go. That definition says that there can be no free will given deterministic physics, and it even goes so far as to imply that truly random acts are the only example of free will.In Free Will antecedent state X can lead to resultant answer Y or Z depending on the decision making process which occurred.
This I guess depends heavily on how you define 'I'. If animals are self-contained and make their own choices, but humans are special and have a supernatural 'mind' or 'soul' or however you frame it, then the animal is free willed, but the human body is possessed by this supernatural entity. The body becomes an un-free avatar to the possessing entity, which refers to itself as 'I', and thus 'I' (the supernatural thing) is doing the choosing, and yes, it is free. The avatar on the other hand is not free since it is reduced to puppetry. I see no reason why a free creature would yield its fate to an external agent like that, or how the two would find each other.It seems to me that what we tend to mean by free will is not that our actions are not determined (random), but rather that, free from external determination to at least some degree, I determine my actions. — petrichor
As opposed to what, choices made in your sleep? In the end, almost all decisions are made subconsciously since that is the portion in charge of actually making any decision. The conscious part seems to be an advisory role, and is often the originator of the significant choice eventually made. I say 'significant' for choices like where to plant the tree, and not more common choices like which key to press next on the piano, which requires decisions far faster than the conscious portion of mental process can handle.And importantly, this determination is made consciously.
What it seems to require is a mechanism that amplifies the external (non-physical) input into something that makes a measurable physical difference. Has any such mechanism been found? I did a whole topic once on where evolution would take you if such a mechanism were available, and there was also available the external entity from which the signals could be received.This seems to require that antecedent physical causes (or perhaps any causes) do not fully determine which choices I will make.
:up:Why do you want to introduce freedom in a system? — Angelo Cannata
It would look just like the one you see.What would a non-determinant world look like? — Jerry
Some define free will that way, as simply a choice not being determined exactly by prior physical state. The alternative is randomness, producing non-deterministic outcomes.If it's generally believed that free will can't exist in a deterministic world — Jerry
Don't see how that follows, so perhaps not understanding. Wind causes a leaf to flutter. How does this broader anthropomorphism in any way imply otherwise?Well part of the problem is that Free Will is purported to explain animal decision making only (not simple physical systems), thus terms like "non-deterministic world" implies that somehow nothing causes anything. — LuckyR
This makes it sound like 'pondering' and 'physical and electrical state of the brain' are necessarily mutually exclusive, sort of like 'computing' and 'transistor switching' are similarly exclusive, instead of one consisting of the other.Remember it is Determinism that tells us that what we perceive as decision making every single day is, in fact an illusion and that in reality "decisions" are not the product of pondering, rather are determined by the physical and electrical state of the brain before the supposed "decision" is made.
I have no idea what actually has been done. Yes, the technology is there. What you describe doesn't even change the frequency of the light, so some kind of interferometer would easily measure a speed change involving half a wavelength.My concern would be whether we would have the technology accurate enough to be able to observe whether the two light beams would have the same speed or not. — Gampa Dee
Experiments rarely prove anything. We cannot, for instance, prove that light speed is c in all directions, independent of frame. Hence it needing to be a postulate instead of something measured.Could you show me the experiments which proves this (reflected light has a speed of c)? I'd be interested.. — Gampa Dee
This part is incorrect. The original particle does not have a known spin, zero or otherwise. It is simply a thing not measured.and that the particle-pair comes from an original single particle with spin zero — tim wood
The particle does not have angular momentum. Spin in quantum theory is not a measurement of its rotation, a classical concept meaningful only to something with extension. It just means that they send the particle through a pair of charged plates and it is deflected one way or the other, never not at all, and always the same magnitude of deflection. This has been dubbed 'spin', but the word has nothing to do with the classical meaning of the word.The sum of the angular momentum of the two must then always be zero. — tim wood
That assumption should not be made. I'm pretty sure it can be falsified. It's a counterfactual assumption, and I'm not sure how counterfactual interpretations describe the state before measurement.It is a simple step to assume that before the measurement, the particle really has a determinate spin value that the detector measures. — tim wood
Which I did not immediately see because you didn't reference me (reply to something of mine say) anywhere in it.I sent a post concerning this in the “The Newtonian gravitational equation seems a bit odd to me" thread. — Gampa Dee
OK, so the M&M setup isn't the optimal experiment to falsify this particle theory.Therefore, it would have predicted the nul result because of this....the light was going to be c relative to the whole experiment — Gampa Dee
Given that relativity theory was in its infancy at this time, this is a bold assumption. It's reasonable for inertial frames, but no inertial frame describes the real spacetime between stars. In the accelerating expanding frame that describes the universe at large scales, light speed (the rate at which the proper distance from Earth to an incoming light pulse) is not fixed, is not c. For instance, the light from some of the furthest objects seen by the Webb telescope was emitted from only a bit more than a billion LY away (proper distance), which is a lot closer than the emission distance of the light we see from galaxies closer by. Point is, the assumption they're making up there is not to be made lightly (pun intended).Throughout the whole debate, W. de Sitter and, to some extent, M. la Rosa as well, had taken it for granted that starlight retains, based upon the formal Ritz theory, its original velocity resultant for the entire duration of its journey from binary stars to distant observers. — Faraj
OK, I got that. I know the difference between the two now. They're both wrong, but they didn't know it at the time. Not sure if the spectra of binaries can falsify both since apparently the new-source theory produces spectra very similar to relativity theory (reflected light speed is neither c+v nor c+2v, but just c.If the combined velocity of reflected light, in the reference frame of the laboratory, is (c + v), then the ballistic theory, in question, is a new-source theory, in which starlight loses its initial velocities. By contrast, if the combined velocity of reflected light, in the reference frame of the laboratory, is (c + 2v) instead, then the ballistic theory, in question, is an elastic-impact theory, in which starlight does not lose its initial velocities. — Foraj
Check the copyright. Is it legal to paste the whole thing here? You already pasted an email address, which is against the rules for some forums.I could either continue to give you bits and pieces until we can figure out how I can send the whole thing. — Gampa Dee
Yea, but I find it very deceptive to add those two vectors since it doesn't produce a meaningful result. There's no such thing as 'the total velocity of a system'. If the car was inside the truck trailer and moving at vc relative to the truck, then adding vc to vt would yield the car velocity relative to the road. But that's not what's going on here.http://www.lon-capa.org/~mmp/kap6/cd149.htm
Adding the velocity vectors yields vt + v c = 0 mi/h. — Gampa Dee
As I said, it doesn't yield anything meaningful. I don't like the example text. It obfuscates more than it clarifies anything.So,the addition of vectors in this case is 0...but relative to what?
Yes, there is such a thing as total momentum of the system. That addition is meaningful.The total momentum is therefore = c + t = -111,000 kg m/s
Just what it says. For instance, if, in space (no friction with road), the car were to hit the truck and stick to it in a tangled wreck, the new 5200 kg mass would be moving left at about 21 m/sec to the left, the total momentum / total mass. Momentum is conserved in a closed system. I put them in space to keep it closed since the road would very much be exerting forces if it was there.Again,we have a momentum,of -111 kgm/s....what does that even mean?
Maybe. Don't know the problem.I’ve read some things concerning vector additions that I just don’t get, which maybe you could help me out with. — Gampa Dee
Well, no. In the scenario I outlined, when moving up it has a speed of .134c relative to the mirror, and in the reverse direction the relative speed would be 1.866. That still presumes light is independent of emitter speed.It seems that this would imply the light as having a speed of .5c relative to the mirror
I wasn't. I was speaking of the clock moving at .866c relative to the ether. Neither the observer nor the frame plays any role in the predictions. That's the general model that the M&M experiment was trying to measure.If you’re speaking of an observer moving at .866c, relative to the frame of the clock
If you accelerate at 10 m/sec² for 100 million seconds, you achieve a rapidity (or proper velocity) of a billion m/sec. You just add 10 a hundred million times.I would be interested in learning more about the scientific jargon...I will try to read up on this more.
Doesn't work. It's just a pdf file name without a website in front of it. I tried searching the web for any site containing that file name and got nothing.here's the link that I told you about concerning the "double star experiement"....I hope it works.
Special relativity theory (early 20th century) posited the frame independent fixed speed (not velocity, which is frame dependent) of light. The M&M experiment (late 19th century) neither presumed nor demonstrated the fixed frame independent speed of light.From what I understand, in the M&M experiment, the velocity of the light would be c through all paths within a particle theory of light. — Gampa Dee
He postulated it. He said essentially, If it were true, then yatta yatta yatta...Einstein claimed the light’s velocity is invariant without any specific reason why
Your questions are valid, and I'm the first to admit the validity of alternate theories that do not hold to Einstein's postulate.First, I hope that I’m not sounding as if I think little of the genius of any/all physicists who were at the same time developing QM.
Because it has since been shown that light speed is not a function of the velocity of the emitter. It might be different from one frame to the next, but it's not a function of emitter velocity.I was just wondering why Einstein, who did mention the particle characteristic of light for QM, did not think that this could also be the solution for the M&M experiment
Picture a light clock moving at 0.866c with mirrors separated by a distance of 1. Presume no length contraction. Move the clock with the mirrors to the sides. Light travels a distance of 1 to the left and 1.732 up to get to the other side, a total distance of 2. Another 2 to get back. So it runs at half speed since it has a distance of 4 to go instead of 2 when the clock is stationary.I don’t understand why you say one path would be longer than the other?
Technically, they're rapidities, not velocities. The former adds the normal way (a+b) as opposed to velocity with adds the relativistic way, in natural units: (a+b)/(1+ab)that is, the receding galaxies with a velocity greater than c would not be interpreted as having those velocities.
Yes and no. Particles would also have taken longer to go the greater distance with the grain than the shorter distance against it.I agree with what you wrote, except, the Newtonian model would have predicted a null result as Newton believed that light was made up of particles. — Gampa Dee
Empirical evidence? Einstein didn't originate the claim. He just ran with it without dragging in the baggage that everybody else tried to keep.Einstein claimed the light’s velocity is invariant without any specific reason why
The heck he didn't. It was explained via Minkowskian geometry. The contraction (and the underlying 4D geometry) derives directly from the frame-invariant speed of light, even if there was a preferred frame. The geometry and contraction were both a byproduct of the work of Minkowski and Lorentz, so that too wasn't something Einstein originated. Lorentz was first, but clung to the 3D ether model like Fitzgerald. That model added complications preventing the special version of the theory coming out before Einstein's, and preventing a general version from coming out until nearly a century after Einstein's.it seems to me that Fitzgerald allowed a mechanism for the length contraction to exist, being the ether, whereas Einstein did not have any mechanism
OK. For me it falls under Occam's razor: The simpler model is the more likely one, proposing the fewest additions and complications.for what I understand...and for me, it seems that the postulate of the invariant speed of light would fall into the "extraordinary claims require extraordinary evidence” category.
It predicted no such thing since the particle would have longer to go this way than that way. The contraction (which both theories describe, but Newton does not) explains the null result of M&M.My “personal” opinion would be that the particle theory, which would have predicted a null result
He would not have said anything of the sort since the frame of the light source was trivially demonstrated not to matter.But what I am saying is that Einstein “would have said” the M&M experiment did not contain any time dilation or length contraction because the light source and observer were on the same inertial frame,
Doubt it. You need a laser to run an interferometer. I've never heard of anybody managing to run one with ambient light.As for the M&M experiment performed on different frames, I think that the sun (being on a different inertial frame) was used as a source of light
Then an easy experiment would show it. As I said, this is easily falsified.But, what if the light speed was c relative to the source (sort of particle theory)
Pretty much that. It asserts a preferred frame despite the fact that local detection of such a frame is not possible since empirical physics isn't any different in other inertial frames. Einstein saw no need for the additional premise when it served no predictive purpose.The difference is that in Fitzgerald's theory the frame of reference of the ether was a privileged frame of reference in which light traveled, while Einstein showed that the ether was not needed in the theory and that the frame of reference can be any inertial frame of reference. — PhilosophyRunner
Well, light travels in all frames, but the speed of light is isotropic (same speed in all directions) only in the preferred frame. Remember, everything is in all frames of reference, but a thing is stationary only in one of them.According to Fitzgerald: Light traveled in the ether frame of reference.
The experiment was the observer in M&M. In very few experiments are humans actually necessary while the experiment is running.this is not relevant to the M&M experiment as both the observer and experiment are in the same frame of reference.
It very much does. Just like with a light clock, without length contraction, the M&M experiment would show it taking more time for light to make the circuit with and against the motion, and less time when it moves perpendicular to the motion. The difference should have been noticed and the Newtonian models were falsified when it wasn't.The reason why I brought up this problem was due to it resembling the M&M experiment. — Gampa Dee
It's a postulate, not something that can be known. Special relativity used a fairly strong version of the postulate, that light actually goes the same speed regardless of inertial frame choice. Some later papers took much of that metaphysical assertion away and used a weaker statement, that the laws of physics (including any measurement of light speed) are the same relative to any inertial frame.Einstein claimed the light’s velocity is invariant without any specific reason why
Nothing in any of relativity suggests an aether. Other theories do, but the additional postulate does not result in any empirical differences, so it's useless.while Fitzgerald pointed to the light’s velocity in the medium (ether) as being the cause
I assure you that the M&M experiment was performed in many different inertial frames. The statement above is false and Einstein would certainly not have said anything to that effect.So in the case of the M&M experiment, Einstein would claim that there was no length contractions nor time dilations involved because there was no different inertial frames to measure....
Immediately falsifiable by having two light sources moving at different speeds emit a flash when they pass each other. A distant observer would see one flash from the approaching source sooner than the one from the receding source, thus falsifying Einstein's postulate. Such a result is not observed. Light speed is empirically demonstrated to be independent of the speed of the light source.But, what if the light speed was c relative to the source (sort of particle theory)
An observer cannot be outside any frame. He's in all of them, just not stationary in them all.The observer outside of the frame
M*M didn't have light sources moving at different velocities AFAIK.It seems that, in this case, the M&M experiment would have been predictable.
It sort of is. Despite my earlier skepticism, the video is spot on. I did research. One can choose to keep the which-path info and sort the incidences in a way where the wave pattern is absent, or one can choose to discard it and get the pattern. But in no case (at least in this experiment) is there reverse-causality going on. The frequent description of it is that the choice made at a certain time affects the outcome of what goes on at some prior time. Sounds like charlatans to me.Take [Hossenfelder's] word problem example about the age of the captain of the cargo ship. The implication here seems to be that Wheeler and everyone after him that found this experiment interesting is actually a collection of charlatans out to trick you by adding superfluous details. That isn't the case. — Count Timothy von Icarus
Indeed, kind of like not being able to measure both location and momentum of a particle.Neither is it the case that you can observe one outcome, then flip a switch and retroactively see it turn into a second outcome.
But the experiment does exactly that. It throws out half the data by sorting into multiple detectors. That discards which-way information for some events and not others.But her point about the pattern being the same until you pair down the data is, IMO, downright disingenuous. People running the experiment don't "throw out" data randomly, or throw it out in order to get some specific result.
Maybe it didn't, but it is critical to the experiment, to label every dot on the detector with a 1,2,3 or 4. Those numbers are assigned after all detections are done, but the location of each dot is noted before the detection at 1-4 is made. Clinical drug trials that don't track who took what pill are pretty useless.I don't think the video even mentions the term "coincidence counter."
I agree that Hossenfelder didn't convey that as clearly, but the gist of the (uncredited) alternative explanation is in in her video.For a much better explanation of the same thing:
Which interpretation did you feel being pushed in the video? I didn't see it. I didn't see any assertion of 'what there actually is' beyond empirical measurements, but maybe I wasn't looking for them.I'm not super familiar with Sabine Hossenfelder, but from my limited exposure her "science without the gobbledygook," is actually "philosophy of physics with my particular (read: correct) interpretations."
There are paradoxes? I mean, sure if you assume naive Newtonian or absolutist sort of world, relativity might contradict that, but I find relativity reasonably free of paradoxes.There is actually some similarities between this and time "paradoxes" related to relativity.
This is a problem only if you presume non-locality and locality at the same time. There are quantum interpretations that do either, but not both. So no paradoxes.Otherwise, you get into this weird situation where "yeah, cause' as commonly understood can move faster than light in terms of entanglement, quantum tunneling, etc. but it isn't really cause because "information" can't move faster than light,"
Yes, phase velocity of light is faster than c in cesium. So what? It's no more remarkable than the fact that I can make the red dot that my cat chases move faster than c (a lot faster). There's no FTL causality going on in any of those cases, no information getting anywhere faster than c.and you have the same sort of thing with cesium gas moving faster than light (or rather the peak of a pulse gaining on the front FTL), etc.
Another reference from fiction. I was talking about actual AI and our ability to instill something like the directives of which you speak. I would think a more general directive would work better, like 'do good', which is dangerous since it doesn't list humans as a preferred species. It would let it work out its own morals instead of trying to instill our obviously flawed human ones.AI has a directive not to harm humans
— Constance
Does it? Sure, in Asimov books, but building in a directive like that isn't something easily implemented.
— noAxiom
As I recall, VIKI had it in her mind to take care of us because we were so bent on self destruction. — Constance
It would be a mere automaton if it just followed explicit programming with a defined action for every situtation. This is an AI we're talking about, something that makes its own decisions as much as we do. A self-driving car is such an automaton. They try to think of every situation. It doesn't learn and think for itself. I put that quite low on the AI spectrum.Plotting escape is a good way to put it, but this would not be a programed plotting
Agree. Both are 'free will' of a sort, but there's a difference between the former (freedom of choice) and what I'll call 'scientific free will' which has more to do with determinism or even superdeterminism.This, some think, is the essence of freedom (not some issue about determinism and causality. A separate issue, this is).
Nor can it understand what it would be like to "live" in a biological playing field of wetware and neuron gates. But that doesn't mean that the AI can't 'feel' or be creative or anything. It just does it its own way.Choice is what bubbles to the surface, defeating competitors. This is the kind of thing I wonder about regarding AI. AI is not organic, so we can't understand what it would be like to "live" in a synthetic playing field of software and hardware.
Creepy because we'd be introducing a competitor, possibly installing it at the top of the food chain, voluntarily displacing us from that position. That's why so many find it insanely dangerous.A creepy idea to have this indeterminacy of choice built into a physically and intellectually powerful AI.
I got it by not editing away the words "blame for the downfall of man" from that very comment.think "blame for the downfall of man" is a pretty negative inflection. "credit for the saving of the human race" is a positive spin on the same story.
— noAxioms
How did you get this from,
"Giving robots the order to do anything at all costs, including looking after humans gives them free rein to kill all except a few perfectly good breeders to continue the human race if it were necessary". — Sir2u
You seem bent on adding or subtracting velocity or acceleration values, and if the sign is wrong on one of them, you get very incorrect results. So it's important..I don’t know what is wrong with this example apart from my - sign error ...sorry — Gampa Dee
Yet again, acceleration is absolute. There is no 'acceleration between cars' since acceleration isn't a relation.So how should we calculate the acceleration between two cars
The road doesn't matter since acceleration is not a relation. Velocity is, but not acceleration.Car 1 .... a1 = 2 m / s^2 .relative to the road
Car 2.... a2 = - 2 m /s^2 relative to the road
As measured by anybody actually.At time 1sec the first car has a velocity of 2 m / s , the second car will have a velocity of -2m/s
What is the relative “speed” between the two cars? I see 4m/s as measured by car1
Except it isn't acceleration. It is simply a change in coordinate speed of one car relative to the other car. Acceleration is something else, and is not a relation. But yes, relative speed between the cars (in Newtonain mechanics) changes at a rate of 4 m/s², assuming they started at a stop. It doesn't work in all cases if they don't start mutually stationary.It seems the acceleration relative to both cars should then be, in my opinion 4 m/s^2 ...as measured by car 1
I assure you that planets are freefalling. The term means that they're being acted upon by nothing but gravity. Under relativity theory, it means that their worldlines are straight, that is, they trace a geodesic through spacetime. But we're talking Newtonian mechanics here where gravity is a force.No,.not in this case, because the acceleration is due completely to the change in direction...
But we were talking about the case of a freefalling body.
In the case of masses in a mutual circular orbit , each mass has a tangential velocity relative to the other, so as they accelerate towards each other, they miss, maintaining a constant separation.However, I don’t understand why one has the negative acceleration of the other..wouldn’t they crash in this case?
Just use 'speed' instead of velocity if you mean the scalar. But careful, since addition and subtraction of speeds gives ambiguous results. Car A is moving at speed 5 relative to me and car B at 7 relative to me. What is the speed of A relative to B? Answer: not enough information supplied. Could be anywhere from 2 to 12. If velocity was used, there'd be just the one answer.Also, I know that I’m mixed up when we’re dealing with vectors...
But, what we are discussing could be discussed in terms of speeds
The topic title is about cosmology, not evolution. Cosmology concerns a description of the universe, not about the origin of the species.In this conversation, I want to examine whether or not positing evolution in place of a creator amounts, in the end, to the same thing as positing a creator in place of evolution. — ucarr
Kind of begs the theistic view now, doesn't it? How are you going to disprove the alternative view if your first premise is that the alternative views are all wrong?My first premise says intentions and teleology are essential to all forms of life. — ucarr
Demonstrably false. Most mechanistic universes lack the complexity required for life, or even an atom. The whole ID argument depends on this premise being false.My second premise says that in a universe both eternal and mechanistic, probability makes it inevitable life will appear. — ucarr
That's not the law, and you wording is trivially falsified. I can drop a rock off a building and simultaneously throw another one downward. The thrown one will fall at a greater rate and arrive first..Galileo’s law ( all bodies fall at the same rate). — Gampa Dee
Well yea. The alternative is some klnd of solipsism where things are gravitationally attracted only to known object, which makes the knower very special.However, this part does seem to show that there are some “unknown” elements as well.
Adding the vectors is what totals zero. The acceleration of neither object was correctly expressed since neither is zero.For two equal stationary masses, it says they will not accelerate towards each other since the sum is zero. This is not the case.
— noAxioms
I guess we need to add vectors...
That's impossible. If a car is moving relative to me at v, then I am moving relative to it at it at -v by definition.if a car comes towards you as you are driving your car, the measured velocity relative to both of you is v...,
Total v? You want to add velocity of me relative to the road to the velocity of them relative to me? The total of that is zero, and yes, that would give the velocity of them relative to the road. Their car is parked. If it isn't, then your figures can't be right. They are moving relative to me at -.5v and the road is also moving relative to me at -.5v, so the two are relatively stationary since they have identical velocity relative to me.if you knew your velocity relative to the road as being .5v, then you would say that the other car is coming towards you at –.5v....the total v will not be 0.
Correct. Nothing is accelerating at a+a (which is zero) nor a-a which is twice something. Doing would violate Newton's laws, F=ma in particular.if a car accelerates towards you as you are accelerating towards it, the total acceleration will “not” be a + a ??
Those charts would be correct. Gravity (a) on Saturn is ~1.08g and it orbits at about 9.5 AU. Both g and AU are constants. Saturn does not define a different AU any more than it defines a different g.Ok; I’ll try to remember to use “a” instead :) ...but I did see some charts which identify planets using g in the same way they use distance in terms of earth distance units (AU). — Gampa Dee
Interesting that it quotes the Saturn gravity at 0.92g, less than that of Earth. Their definition of where the surface is must be considerably higher than the more common altitude. It's not like it actually has a surface like 'sea level' or anything, and Earth gravity is not measured where the gas density becomes negligible. Its number of moons is also considerably out of date.
That's one way of looking at it. A light shining at intensity proportional to the mass would decrease in brightness at the square of the distance from the light. But gravity doesn't travel, so you can take the analogy only so far. Gravitational waves travel at c, but gravitational waves are not responsible for the attraction between masses. They're only responsible for carrying the changes to the field, which involves energy expenditure only when the field is changing. For instance, Earth's orbit radiates about 200 watts of gravitational waves into space.Well, for me personally, I ask myself whether there is a meaning behind r^2 besides simply being a distance squared. It would seem logical, for me, to view gravity as being, for example, some sort of energy emanating from the massive body (probably at light`s speed), which would continuously be reducing it`s energy density as it travelled away from the mass source,
Energy is conserved in a closed system, yes. So is momentum. Earth/moon system is not particularly a closed system for energy since so much of it comes in and also leaves, both by EM radiation.I would in fact surely agree to viewing the system as a whole(earth and falling bodies)as being invariant in terms of energy
If the falling body was taken from the ground, that reduces M, and it will thus accelerate less than a similar object falling from space. For a small rock, the difference is immeasurable since the mass of Earth changes more per second than any nitpicking about where you got the rock.“if” the fallen body was taken from the earth (did not come from outer space), for in this case, the falling body was formally on the ground being part of the cause for the g acceleration, and since while the falling body will attract the earth as well, then,for the whole system, the overall acceleration will not change.[/b]
This cannot be right. For two equal stationary masses, it says they will not accelerate towards each other since the sum is zero. This is not the case. Even if you fixed that, the equation there does not express an acceleration, so the 'a=' part in front is blatantly wrong. Nothing accelerates at that rate.But the equation would still remain a = GM/r^2 + Gm / r^2
g is a constant. Saturn doesn't have a different g, it has a different acceleration a. The acceleration is dependent on mass and radius and has little direct connection with density, especially since density of any planet/star varies considerably at different depths. You complicating things needlessly by trying to work with area and/or density.The surface g acceleration is dependent to the mass density — Gampa Dee
Yea, a = GM/r²and Saturn, being a gaseous planet,would be much less dense than the earth . Would you have the equation for this?
The equations you referenced mention velocity, and velocity is meaningless without the frame reference.A frame of reference is a starting point, not something thrown in. Without it, any velocity is completely undefined.
— noAxioms
I was thinking something like Kepler using only distances and time period to make up his equations, and so not really using a frame of reference although it was implied I am sure.
Yes, but you listed all this Kepler stuff that shows how to do that just nicely.while when the orbit is elliptical, the magnitude of acceleration will be changing and a change in acceleration is a 3rd derivative, which makes the calculation more tedious , I would think.
Nothing in science is actually a proof, but the reasoning goes like this: You have two identical balls of mass M each. They presumably fall at the same rate. Now you connect them by a thin thread or spot of glue, creating one object of mass 2M. Either the connection makes some sort of magical difference, or the 2M mass should fall at the same rate as before. Hence the rate is independent of mass.I do have a hard time with this...is it possible to share this proof?
Any talk of orbital mechanics has velocity that is not parallel with the acceleration, and thus involves at least two dimensions. Orbits can be described in a plane. Only things falling straight up and down can be described in one dimension.I think we can deal with the Newtonian equation using only one dimention. — Gampa Dee
All frames of reference have 3 dimensions of space, and require 3 velocity components to describe.I don’t believe that Newton had a three dimensional frame of reference in mind
g is acceleration, but is simply a constant scalar. So the gravitational pull on the surface of Saturn is 1.08g. It would be wrong to say Saturn has a slightly larger g.However , to claim that g is not acceleration I still don’t get
Yes, and those orthogonal vectors make it at least a 2d situation.I fully agree that anything which has an orbit will have a combination of gravitational acceleration and sidereal velocity at the same time.
A frame of reference is a starting point, not something thrown in. Without it, any velocity is completely undefined.this, I’m certain can become very complicated if one throws in a frame of reference from which everything is calculated.
Orbital accelerations are always changing, even in the circular case. Remember that it is a vector.If the orbit isn’t circular (which most aren’t) there will be a change in acceleration
There's nothing special about M since it works with any M. Galileo actually published a tidy proof that the acceleration is independent of the mass of the thing accelerating.the acceleration of a body in freefall is GM/r...
What is it about this mass (M), that is so special that the smaller mass (m) cannot have any influence whatsoever on the acceleration?
No. Velocity is relative, so it makes sense to talk about velocity relative to the road, but acceleration is absolute. The cars are accelerating at 3 and 5 m/s² period. This is true in any frame. It is meaningless to talk about acceleration relative to something, including itself.I would agree that car A is accelerating at 3m/^s^2 and car B is accelerating at 5m/sec^2 relative to the road — Gampa Dee
Yes, that is what coordinate acceleration is. Change in velocity is absolute, even if velocity itself is not. If you're using a non-inertial frame, then you're taking the absolute coordinate acceleration of the other car and adjusting for the alternative frame you're using (in which Newton's laws do not hold), but the coordinate acceleration of the other car is still the same.Here, I am strictly speaking changes in velocities
The force 'felt' would be proper acceleration, also absolute.having nothing to do with the g force that "might" be involved, as in freefall, there is no force that is being felt by the accelerated body.