• Prishon
    984
    After all, I'm sure you would agree with the conventional reply when folk ask what is the Universe expanding into. Very quickly you will say it is just the expansion of the metric itself. The Universe is not embedded in some larger space.apokrisis

    The prevailing view (the dogma) is that space can't be embedded in a higher dimensiolal one. But thats questionable, although the dogma forbids asking this. But 3d space can be immersed in 4d space. Causing expansion to be an illusion.
  • Prishon
    984
    the answer seems to be probability. With localized random intensifications of energy in pre-universal space having occurred throughout "time", there was bound to be an intesification profound enough to begin the inverse reaction of the mass-energy equivalence reaction described by E=mc^2.Michael Zwingli

    This comes very close.
  • Corvus
    3.2k
    the force of gravity over a long time in the environment of space, which is of course, a function of the matter itself.Michael Zwingli

    But gravity would need some mass of matter before it can exert, no? According to your saying, the formation of the matter was done by force of gravity, but gravity needs the formed matter, no?
  • Michael Zwingli
    416
    not so. We are considering the formation of large planetary and other space bodies from, essentially, space dust, no? The matter is simply changing form...conforming according to the forces placed upon it, much as within the Earth's crust, a diamond is formed out of a much more voluminous bunch of carbon deposit over time...or, indeed, as a company can create a synthetic diamond out of the post-crematory ashes of your loved one. The formation of planets in space was...is a similar process writ large.
  • Corvus
    3.2k
    We are considering the formation of large planetary and other space bodies from, essentially, space dust, no?Michael Zwingli

    Which sounds like needing even more powerful force of gravity, if it were gravity. But where did the gravity come from?
  • Michael Zwingli
    416
    gravity is a property of the matter itself, a function of the mass thereof, and more effective in the environment of space.
  • Corvus
    3.2k
    gravity is a property of the matter it's elf, a function of the mass thereof, and more effective in the environment of space.Michael Zwingli

    Sure, I would have thought if the dusts formed into planets, then it would need some mass pulling the dusts prior to the formation of the planets. But ok, it seems a good theory.
  • Michael Zwingli
    416
    any type of "dust", or particulate matter of any other name, has mass by the fact of it being matter... Paricles of dust exert gravitational forces upon each other even when they are lying on your floor, but those forces are not effective on your floor because of the much greater force of Earth's gravity (much more mass).
  • Corvus
    3.2k
    any type of "dust", or particulate matter of another name, has mass by the fact of it being matter...Michael Zwingli

    OK, how do you explain the dusts forming into human bodies?
  • Michael Zwingli
    416
    well, first the dust formed inorganic compuonds, which in turn, and in the right environment, eventually formed organic compounds, out of which eventually (in the right environment...in this case the warm primordial sea) were formed the first unicellular organisms, and the rest is evolutionary biology. So you see, the old saying that we humans are "made of stardust" is true in actuality, albeit in roundabout manner.
  • Corvus
    3.2k
    well, first the dust formed inorganic compuonds, which in turn, and in the right environment, eventually formed organic compounds, out of which eventually (in the right environment...in this case the warm primordial sea) were formed the first uniellular organisms, and the rest is evolutionary biology.
    2 minutes ago
    Michael Zwingli

    Can it be replicated in the lab experiments?
  • Michael Zwingli
    416
    only if you have a few billion years to run the trial...
  • Corvus
    3.2k
    only if you have a few billion years to run the trial...Michael Zwingli

    :roll: :chin:
  • Prishon
    984
    in the right environment...in this case the warm primordial sea)Michael Zwingli

    That's not enough. There is needed a periodic inflow and outflow of heat.
  • Michael Zwingli
    416
    From this, one must consider that, while the fact of our human existence might not be a miracle, it is yet miraculous.
  • Prishon
    984
    Once upon a time, it was the Planck-era, spaceytime was wildly fluctuating. Virtual gravitons were causing uproar again. This happens periodically as all know. When real mass and energy are absent, they get scared and behave in unpredictable ways although hidden variables make them more determined. To give both fluctuating rishon fields, from which they stem, a chance to get real. The rishon fields are in fact the instigators. They wanna become excited and thereby give the gravitons something substantial to cling on.

    After the the bang, order is restored and all fields happily move on in unity, holding hands by virtual fields
  • Prishon
    984
    From this, one must consider that, while the fact of our human existence might not be a miracle, it is yet miraculous.Michael Zwingli

    A miraculous wonder that can be addressed! ☺
  • Gnomon
    3.8k
    The only answer to Why that does not precipitate an infinite regress and, in effect, begs the question is There Is No Why. Rather: How did the BB come about?' 'Planck era' spontaneous symmetry breaking.180 Proof
    "What came before the Big Bang?" questions stimulate some creative thinking on both sides of the Realistic Science versus Idealistic Philosophy divide. And "spontaneous symmetry breaking" is a genius modern myth, along with the math-magical metaphor of instantaneous-inflation-from-nothing-to-cosmos. Relative to the ironic evasive tactic of "no-thing is unstable", the notion of the pre-bang symmetry-of-nothingness is precious. Both sides assume without evidence, that some-thing existed before our space-time era began. But one imagines that what-is-is-what-was. While the other envisions that what-was-is-what-will-be. ???

    Planck probably thought that by calculating the smallest possible measurable time or length, that fades into asymptosis or ellipsis, would put an end to such "before the beginning" nonsense. But, for curious philosophically inclined seekers, "what-if?" questions are irresistible honey for the imagination. And some posters on this forum will take-up hard-line (this-is-what-is) positions on such conjectures, which are by definition unverifiable. It would be nice, if for a change, we could just freely speculate on such pre-columbian "what's out there over the horizon?" scenarios, without coming to blows over which party is the biggest idiot : the short-cut-to-India optimists, or the sail-over-the-edge-pessimists. :cool:
  • Mikie
    6.7k
    People who don't believe in God or any higher power like to say that the Big Bang was the start of the universeHardWorker

    People who BELIEVE in God (whatever that means) say the same thing, whether they call it a big bang or not, and the same problems arise.

    What created god? He's uncreated? Infinite? Unknowable? So maybe the universe is uncreated, infinite, unknowable. As Carl Sagan would say, "Why not save a step?"
  • 180 Proof
    15.3k
    At / below Planck scales causality, distance, duration are immeasurable, or exceed current theoretical models and scientific understanding. Philosophy interprets that limit / breakdown; pseudo-philosophy, however, fiats a woo-of-the-planck-gap as if mere speculation alone can determine more about physical reality than is possible for the physical sciences to do. :roll:

    At / below the Planck radius, "before the BB" makes no sense to speculate about; rather, based on extant scientific data, all we can intelligibly say is that the Planck-era "universe" seems to have been an acausal vacuum fluctuation that is still 'expanding', and is not "the origin" but development of this vacuum fluctuation into an apparently unbounded, dissipative megastructure self-generating (along a cosmic-thermal gradient) astronomically countless, fractal-like, systems and subsystems, which we simplistically, for convenience sake, call (this) "universe". No woo required. :eyes:
  • frank
    15.8k
    You might be thinking just of space and not spacetime. Inertial expansion is flat but accelerating expansion is curved.apokrisis

    Could be. I'll look again.

    But even Linde’s eternal inflation is a story about a fractally branching multiverse so it indeed all branches from one initial starting point. There is a singularity in the need to explain why there was the first Planckian shoot that became the vast tree.apokrisis

    Maybe we don't mean the same thing by "singularity.". Did you get a chance to watch this video?

  • apokrisis
    7.3k
    The prevailing view (the dogma) is that space can't be embedded in a higher dimensiolal one. But thats questionable, although the dogma forbids asking this. But 3d space can be immersed in 4d space. Causing expansion to be an illusion.Prishon

    You have clashing brane theories that make use of string theory’s higher dimensionality. So this is another example of reductionist desperation in my eyes. But mathematical physics is certainly not dogmatic about these kinds of things.

    The Ekpyrotic Model of the Universe proposes that our current universe arose from a collision of two three-dimensional worlds (branes) in a space with an extra (fourth) spatial dimension.

    But there are good reasons for just 3D, like the fact that gravity and other forces aren’t leaking away into this embedding space. They weaken at the square of their distance and not the cube.

    And more to the point, cosmology noticed that all the stars become increasingly red shifted with distance from us. So unless the Earth is the still centre of an exploding creation, you have to accept the conventional Big Bang cosmology.
  • PoeticUniverse
    1.3k
    Well even if that is the case, that still leaves the question of why there was a Big Bang in the first place.HardWorker

    Stuff collected. Infinite density cannot be; it went boom!
  • apokrisis
    7.3k
    Planck probably thought that by calculating the smallest possible measurable time or length, that fades into asymptosis or ellipsis, would put an end to such "before the beginning" nonsense.Gnomon

    Planck was actually just thinking about the problem of why the heat radiated by an object didn’t add up to infinity like a simple extrapolation of know physics said it should. He introduced the notion of a quantum cut-off point. That ushered in physics’ next big paradigmatic revolution.

    So that should tell us something about the need to avoid infinities if we are to have the bounded finitude we actually observe as our natural habitat. Existence is a limitation on too much everythingness. Creation is not about getting something out of nothing but of developing constraints on unbounded fluctuations.

    I believe Anaximander said something along those lines 2500 years ago. Indeed, all pre-modern cosmologies seem to be the same creation story of order arising out of chaos.

    Put together Planck’s h, Newton’s G and Einstein’s c to make Okun’s cube of physical theories and you have a model of a mechanism where the positive curvature of quantum fluctuations is balanced by the negative curvature of gravity at a rate that is scaled by the speed of light. We have a set of fundamental constants that are cast in a dialectical or reciprocal relation with each other.

    So we discover there is this broken symmetry at the root of things. It is not unreasonable to wind that back to the symmetry state that marks its beginning.

    Metaphysics has always reasoned this way. But modern thought - on both sides of the realist-idealist divide - has gotten into the habit of simple reductionism and it’s cause and effect monism. Creations can’t be self-organising say the reductionists. They demand a creator that stands outside the creation.

    It would be nice, if for a change, we could just freely speculate on such pre-columbian "what's out there over the horizon?" scenarios, without coming to blows over which party is the biggest idiot : the short-cut-to-India optimists, or the sail-over-the-edge-pessimists.Gnomon

    That is true. But also, there is ample science to constrain the free speculation. Yet then cosmology is like quantum theory in that scientists themselves go crazy with their speculation as they have not invested too much effort in questioning the reductionist habits of thought that have generally made science so successful.

    That makes it an interesting situation - like consciousness studies too - where those who are very well informed about the material facts are also blinded by the paradigm within which those facts were developed. Both the well informed and the uninformed can make dogmatic assertions about the nature of the Cosmos and the nature of the Mind that are ill thought out for their different reasons.
  • Gregory
    4.7k
    The word "beginning" is misleading because there could be a finite universe with a first movement and a material engine of causality but there be no beginning. Beginning implies springing from something. Without absolute or philosophical time, there simply would be a first this then that and so on according to material laws. "Beginning" is intricately linked to absolute time
  • Seppo
    276

    It could be the case that Universe didn't start at the "point in time" that is its Planckscale event horizon. It could be true that there is a lengthy pre-bang story along the lines of Linde’s eternal inflation or Big Bounce cosmology. It may well be that QG is a theory that sees beyond the Planckscale and finds some kind of spacetime/energy density story that pushes the origin of that spacetime/energy density story into realms that are simply just smaller and hotter.

    But these ideas are speculative, simplistic, and don't even tackle the essential questions about why there are these things of spacetime and energy density. Again, we pull folk up who ask what space our Universe is growing into, yet seem untroubled by bouncing cosmologies or branching inflation fields that presume a familiar notion of passing time as the place in which our Big Bang universe appears as just another material development.

    I don't really have any objection to any of this. I actually think its a really good point that we should be suspicious of proposals that appeal to our sense of a sequential narrative (like cyclical cosmologies), and if/when we finally break through this impasse its going to be in a way no one foresaw (and I think this also applies to particle physics). If the current projects/paradigms (string theory, supersymmetry, etc) were going to bear fruit, you would have hoped it would have happened by now... and that just hasn't happened, we've been spinning our wheels for decades (then again, nature isn't too interested in our time schedule so who knows).

    But as a hobbyist (my background is in philosophy not physics), I tend to be a bit more conservative in sticking to what is the widely held view of people with actual formal expertise on the subject, hence my comments here sticking to what I guess is sort of the party line on the topic RE quantum gravity and early Big Bang cosmology.

    Great posts, btw- very interesting commentary. :clap:
  • apokrisis
    7.3k
    I don't really have any objection to any of thisSeppo

    If you're going to be so damn reasonable then I have to rescind that dogmatic comment. Bugger. :smile:

    If the current projects/paradigms (string theory, supersymmetry, etc) were going to bear fruit, you would have hoped it would have happened by now... and that just hasn't happened, we've been spinning our wheels for decades.Seppo

    Yep.

    I tend to be a bit more conservative in sticking to what is the widely held view of people with actual formal expertise on the subject, hence my comments here sticking to what I guess is sort of the party line on the topic RE quantum gravity and early Big Bang cosmology.Seppo

    Again, that's fair.

    It it just that the party line too often feels like the party members papering over their own divisions and confusions so the general public/taxpayer funders don't catch on to what a mess they might be in.

    In fact I parked particle physics and cosmology a decade ago to give them time to catch up with themselves and see if some actual new consensus might emerge. Loop and condensed matter approaches were encouraging at the time, but also starting to fall apart like strings did.

    I think what did it for me was the loop guys suddenly promoting bounce cosmology as the kind of "theory" that a new multi-billion euro collider might just be able to test. Suddenly there was a new party line to be built around a ginormous funding application ... and let's not look too closely at its scientific merits.

    But in case you are interested in where I am coming from, there was this really good blog post by the "Hammock Physicist", Johannes Koelman, in 2010. He was so on the money for me that it was no surprise he appeared to give up his academic ambitions and turn to making a living in industry soon after.

    http://www.science20.com/hammock_physicist/physical_reality_less_more

    I wrote up a precis at the time which I can simply paste here just in case it has value.

    Preamble: Most modern metaphysics presumes the laws of reality, the structure of the cosmos, to be contingent. The laws are just whatever they are with no real explanation other than some kind of anthropomorphic accident. This is a view that drives Tegmark and his multiverse speculation and other expressions of modal realism.
    But physics itself appears to be closing in on a tale of mathematical necessity, a tale of symmetries and symmetry breaking, which now in metaphysics is also inspiring new schools of thought like Ladyman and Ross’s ontic structural realism - http://www.amazon.com/Every-Thing-Must-Metaphysics-Naturalized/dp/0199573093
    So this is a new “emergent Platonism”. It is not that there is a realm of infinite forms – a Platonic ideal for every possible particular entity from triangles to jam jars – but rather that there is a general mathematical inevitability to the structure of nature. Given a starting point of unlimited material freedoms, some kind of prime matter, apeiron or entropic gradient to shape, a world must then self-organise according to certain intelligible principles. And this is what fundamental physics has quietly been doing from Newtonian Mechanics right up to string theory and loop quantum gravity today – systematically following the path leading back to the deep mathematics, the ur-pattern shaping nature.
    So this is post about the unification of physics project. And this excellent blog post by Johannes Koelman gives the guts of the argument - http://www.science20.com/hammock_physicist/physical_reality_less_more
    I will use it as a jumping off point, particularly this Venn diagram of how the theories form a three-cornered hierarchy of generalisation....
    TOE%20Venn%20Diagram.png
    Planck constant triad: Where does it all start? With the idea of symmetry and symmetry-breaking. Or the birth of scale, the birth of difference within what was “the same as itself”. And so it is about a special kind of reciprocal dualism or asymmetric dichotomisation where the same becomes different by moving away from itself across local~global scale.
    Now this is an unfamiliar idea to most even if it is very ancient – the basis of Anaximander’s cosmology, the very first true metaphysical system. But briefly, it is about inverse relationships. If you take a classical metaphysical dichotomy like flux~stasis, chance~necessity, discrete~continuous, etc, you can see how each pole defines itself as the reciprocal of the other. Stasis is the state where there is no flux, or the least possible flux. So stasis = 1/flux. That is, the larger you imagine flux to be, the smaller or more fractional the quantity of it you will find within stasis. And the converse applies. Flux = 1/stasis. The larger the amount of “no change” imagined, the less of that there is to be found in flux, and so the more “changeable” flux becomes. All regardless of any actual measurement or quantification.
    So this is a special mathematical relationship that emerged in Ancient Greek metaphysics – the dialectic manoeuvre that drove its speculative twists and turns. And it has re-emerged centre stage in modern physics as symmetry-breaking and the various dualities or complementary relationships that are a feature of high-level theories.

    Now on to those theories. As Koelman makes clear, it starts with Newtonian Mechanics (NM) where the local~global relationship, the primal dichotomisation of physical scale, was first properly quantified – but in an actually broken apart way.
    NM presumed a fixed space and time backdrop and then defined the rules for quantifying local events within that absolute reference frame. That 'broken apart" classical view of nature certainly worked at the human scale of observation, where we are so far from the bounding limits of the cosmos. But as science developed particle accelerators and radio telescopes, physics had to expand its view too. It had to develop post-classical theories that included an account of the global container as well as the local contents.
    And in brief, that has turned out to mean bringing a triad of "dimensionless" constants inside the picture we have of reality – the three Planck constants of h, G and c. (h = Planck’s constant that scales the quantum uncertainty of things, c = the “speed of light” or the constant that scales causal interaction, and G = Newton’s gravitational constant that scales mass/spacetime curvature.)
    There are only these three critical “numbers”, all somehow tied to the most fundamental level of symmetry-breaking. And with NM, we start with them all outside the physical theory as values that have to be empirically measured – which is an immensely tricky and approximate story in itself. Then the story of modern physics has been about pulling the constants inside the theories, first in ones, then in twos, and finally, hopefully, with the ultimate Theory of Everything (ToE), getting all three inside the picture of nature together at once. At which point, physical theory would become completely rational, drawing up the ladder on the need for empirical measurement as the mathematical structure would be able to account for itself entirely.
    This is because the constants will have been defined in the same self-explanatory way as the old metaphysical dichotomies like flux~stasis. The constants represent the action that breaks a symmetry, but now in both its “directions”. Asymmetrically or reciprocally across actual hierarchically-organised scale. What this means should become clearer as we see how physics has developed since Newton.

    Newtonian Mechanics: As Koelman points out, NM was based on reducing the empirical measurement of reality to four quantities – distance, duration, force and inertia. The brilliant idea at the heart of scheme was to disconnect the local scale from the global scale by imagining the global scale to be a fixed, flat and eternal, backdrop. Space and time were made a static symmetry – you could go backwards or forwards in space’s three global dimensions or time’s single global dimension and they “didn’t care”. It was all the same, and so symmetrical.
    This was of course a view of nature directly inspired by Ancient Greek atomism and its notion of an a-causal void, where similarly, all causality, all action or symmetry-breaking, involved local parts. Only material/efficient cause was real, making formal and final cause a fiction projected onto the emergent regularity of atoms contingently at play. And given that space and time were defined in this absolute sense – a matter of brute and immutable fact – this legitimated the use of clocks and rulers as universal measuring yardsticks. You could create a standard unit of distance or duration because such a human construct was underpinned by the concreteness of space and time themselves. At any place, in any era, and at any scale, these clocks and rulers would continue to function reliably because they were measuring something unimpeachably real.
    So Newton – as a metaphysical premise – created an unchanging backdrop against which the kind of change we are most interested in, the middle-scale realm of lumpy objects, could be crisply measured. Now he only had to model a localised symmetry-breaking – the one between mass and force, or between the material property intrinsic to a body and the web of interactions between such bodies. This led to his three laws of motion.
    Newton's first law defines the inertia of bodies. Massive objects can have a "resistance to change" in their motion if that motion does not break a global symmetry. So a ball can roll forever in a straight line due to translational symmetry, and it can spin forever due to rotational symmetry. The combination of mass and velocity gives a body a momentum value. A force - as then defined by the second law, F=ma - is a change in momentum imposed from without. Like by getting smashed into by another object. With absolute space and time as a fixed reference frame, these "hidden" local quantities of force and inertia could be read off the world in terms of localised symmetry breakings - a curving path or a change in velocity.
    Then Newton’s third law of action~reaction restored the broken symmetry by creating a global energy conservation principle. Everything that got pushed, pushed back equally, leading to a net zero force at the global scale. Nothing happened to disturb the static stage upon which the mechanics played itself out.

    Newtonian gravity: It was a neat system. But of course it only dealt with objects banging into each other. And Newton had to make another big leap of the imagination to deal with gravity – a global force that “acted at a distance”. His peers like Descartes had tried to make sense of gravity’s pull as a jostling of spatial atoms. The sun and planets were swirled around in circular orbits because they were caught in the flow of super-fine corpuscles. But Newton boldly posited gravity as an intrinsic property of mass. And one that scaled (inversely!) with distance. The greater the separation, the more weakly the gravity of a body was felt.
    So Newton again used an absolute backdrop as a way to localise the notion of an action – the material cause of change, the thing that breaks a physical symmetry. And as the other forces like electro-magnetism became recognised, the same general mechanics could be used with them as well. They could be quantified as vectors – a small push or pull in a direction acting to disturb the inertial motion of a body.

    Post-Newton theory: The Newtonian model worked so well because it homed in on symmetry-breaking on the human scale - where we are 33 orders of magnitude distant from the smallness/hotness of the quantum scale and 28 orders of magnitude away from the bigness/coldness of the visible Universe, the relativistic scale. Action or change might be taking place at the extremes of scale, but the Universe would still look a flat and unchanging backdrop because either the change up at the relativistic limit was so large and slow that it was beyond our field of view, or equally, down at the quantum limit, so small and rapid that it become an unbroken-looking blur.
    But eventually it was realised that the Universe was dynamical over all its scales. For one thing, it was born in a Big Bang and is spreading/cooling towards an entropic Heat Death. So the extremes of scale had to be brought inside the general model and made subject to the same laws ruling change.
    In prescient fashion, it was Planck in 1899 who saw that all mechanics could be boiled down to three constants – three dimensions quantifying the actions that break even the most global symmetries. Well, Planck thought it would be four as he included Boltzmann’s constant, k. But by the 1930s, Matvai Bronstein had clarifed that physics was looking for the magic trio of cGh. Well, in fact to show that it is only retrospectively that physics understood the deep logic of its own progress, the much more famous names of Gamow, Ivanenko and Landau cooked up this little insight as at first a joke, allegedly to impress a girl, and then 50 years later, Okun, another Russian rediscovered it and finally popularised the way cGh anchored all physical theory as “Okun’s cube”. Here are a couple of blog posts on this history.
    http://backreaction.blogspot.com/2011/05/cube-of-physical-theories.html
    http://blogs.scientificamerican.com/guest-blog/2011/07/14/why-is-quantum-gravity-so-hard-and-why-did-stalin-execute-the-man-who-pioneered-the-subje
    So OK, it was not so obvious at the time. But it does explain why physics ended up organised like Koelman’s Venn diagram, a systematic attempt to turn three empirical and apparently arbitrary measurements into three reciprocally self-defining and so mathematically necessary global symmetry-breakings.

    Special Relativity: Ticking through these quickly, first came Einstein’s Special Relativity (SR) which incorporated c into mechanics as a general yo-yo factor.
    First space and time (representing stasis and flux in terms of locatedness and change) became glued together to become the one thing, a global scale symmetry balance that Koelman dubs “spacetime-extent”. Then c scales any breaking of this balance with extent multiplied by c = distance^2 and extent divided by c = duration^2. So in this way spacetime is changed from being a static backdrop to a dynamic dimensionality where the baseline of “no action” is effectively redefined as the expanding sphere of an event horizon. Events are physically separated by a distance and a duration in the way that the sun may have vanished four minutes ago, but it will take another four minutes before we can know about it. So to break spacetime in such a way as only to see “a distance”, you have to multiply by c to allow “enough time” for the distance to “happen”. And conversely, to recover “a duration”, locate it within a purely temporal dimension, you have to divide by c to remove the space over which it has has spread.
    A simpler way to understand this is considering spacetime from the points of view of a massive particle and a light ray. Even if it is stationary, not moving in space, the particle is now moving in time. It is “travelling” into a future where the distance to any event horizon is getting constantly c-times more expanded. And conversely, the light ray may be moving at c through space, but now – being already “at” the event horizon – it is “stationary” in respect of the global dimension of time. So there are two ways to be standing still and two ways to be moving. And which way round you read off the symmetry breaking is scaled by c or 1/c.
    Thus globally, spacetime was scaled by a reciprocal action. Then locally, the same was done to the Newtonian version of the action. Energy and momentum became glued together as a “general stuff” – spacetime-content – and this symmetry again broken by a yo-yo inverse relation. By E=mc^2, mass could be converted into a “times-c” amount of energy, while energy could be converted into a “times-1/c” amount of mass. The material contents of the Universe could be viewed either in terms of an energy density located to a spatial point, or smeared across a temporal sphere. The two were dichotomous ways of looking at the same thing. So “where you were” as an observer within the system had to be specified by an inertial reference frame if you wanted your Newtonian rulers and clocks to read off the same distances and durations. Nothing was absolute, but in a dimensionless way, you could still distinguish c from 1/c as the generalised limits on reality.

    General Relativity: SR incorporated one of the three Planck constants, c, but left out h and G. So the quantum uncertainty and gravitational curvature of the Universe remained “measurements from outside” the system being measured. This didn’t matter outside the middleground scale of classical objects – lumpy masses bumping about in a cool/large void. But it did matter if SR was going to continue to measure the world accurately as it approached these two other limits of nature.
    Einstein of course took the next step of extending SR by incorporating G alongside c to give General Relativity (GR). Spacetime was now made bendy, defined in local fashion by its energy density. Instead of distance and duration being flat and even dimensions – Euclidean as presumed by Newton – they were free to adjust their geometry according to the density differences in their material contents. Or being a bit more technical, spacetime and its contents became unified as flipsides of the same thing – the Einstein-Hilbert action. The reciprocal nature of the deal was again made explicit in the maths, spacetime being scaled by G/c^4 while the mass/energy contents was scaled by c^4/G.

    Quantum Mechanics and Quantum Field Theory: The other big revolution going on was Quantum Mechanics (QM). It had been discovered that reality is scaled by an uncertainty relation – a yo-yo deal centred on h as its “physical” value. In QM they called this complementarity, making the connection with Eastern metaphysical thinking like Yin-Yang (which of course is another version of the same thing the Ancient Greeks were talking about with dichotomies). But anyway, what QM said was reality is fundamentally vague or indeterminate.
    Measurements need to be made from a fixed point of view to have definiteness. And when you get down to nature’s essential symmetries (and the asymmetries that break them in local~global scale fashion) then trying to pin down one end to a crisp value sends the other off to unknowable indefiniteness. So ask about a particle or event’s position and its momentum goes off the other end of the scale. Zero in on it in terms of time, and its energy could have any value.
    By including this yo-yo measurement issue in the physics, QM made explicit the way classical mechanic had been coarse-graining reality. When things are cold and large – far from h as a limit – then the Newtonian picture works well as reality is near to dammit determinate in its behaviour. But approach the complementary limits of the hot or the small, then the classical crispness breaks down in a well modelled exponential fashion.
    So QM pulled h inside the mothership of Platonic physics, but like SR, it left the two other constants dangling – c and G. This was fixed by Quantum Field Theory (QFT) which repeated GR’s trick, this time combining h and c.
    QFT is a relativised version of QM and it did this by treating particles as excitations in a field. So there was the jump from a Newtonian strict location of a symmetry and its breaking (a particle, its properties, the forces that might impinge on it) to a field view where everything becomes global and contextual. The key calculational breakthrough was Feynman’s concept of path integrals, or sum-over-histories. Uncertainty could be quantified as all the paths that a particle might have taken quantum mechanically and then the path “actually” taken as the shortest possible path to get where it got. So all the energy values the particle might have had (given the scale of the action) could be averaged across. And relativistic effects, like what speed does to mass and time, could be included as contributions to the final result as well, giving a picture of an action zeroed to some definite reference frame.

    Cartan Gravity: SR, GR, QM and QFT are the familiar fab four. But far less well known is that there is a third leg to this story of the grand consolidation of the theories. As Koelman points out, logic demands there was also Cartan Gravity – an effort to match SR/c and QM/h with a generalisation of Newtonian mechanics that dealt solely with G. And then following that, even a Cartan Quantum Gravity that unified G and h.
    Now the Cartan notion of space is based on torsion (as opposed to say curvature). But I confess I am not clear why it is not a big deal like quantum and theory and relativity. Perhaps combining G and NM has little technological value (QM especially has been the basis of valuable everyday application). Certainly Newtonian gravity deals with the classical scale of interaction perfectly adequately given that massive gravitational fields are not the kind of thing we can bring to bear on nature in the same way we can with c or h scaled phenomena.
    Anyway it is said Cartan theory may yet come into its own as the basis for loop quantum gravity or other ultimate theories where forces have to be modelled as twists in space. And certainly it is a necessary third leg of the theory unification process. It is logical that this way of climbing the same mountain also is possible.

    Theory of Everything: So that then just leaves one final step – a ToE or Quantum Gravity (QG) theory that hoovers up all three Planck constants, cGh, into the mothership of reciprocal dimensional maths.
    As Koelmans says, this seems to require a further extension of the sum-over-histories approach where QFT is enlarged to include G or spacetime curvature. As well as averaging across the uncertain energy levels of a particle and any global relativistic contributions, the calculation would have to average across any local uncertainty in the spacetime the particle is meant to be travelling through (or the excitation and the field it is “happening” in). QFT can in fact give approximate answers of that kind by imposing a cut-off on local gravitational contributions, but a properly elegant way of doing this – one which shows how the three dichotomies can be both internalised and also connected to each other as some kind of fundamental geometric relationship – is still a work in progress.
  • Seppo
    276


    It it just that the party line too often feels like the party members papering over their own divisions and confusions so the general public/taxpayer funders don't catch on to what a mess they might be in.

    Oh yeah, this is definitely the case. Physics is.. sort of broken right now (cosmology and particle physics at any rate), but that's not a story that gets broadcast to the public. After all, they might be less inclined to throw money at e.g. the next bigger and better particle accelerator we need to continue chasing the supersymmetry dragon (and we can't have that)!

    Another awesome post btw, think I'm going to have to print this one out so I don't have to read it on the computer (damn thing gives me a headache after a while). Going to check out the Koelmann blog too, looks like some good stuff there as well.
  • Prishon
    984
    my background is in philosophy not physicsSeppo

    Then who tha hell are you to criticise me? My "background", as you put it very imaginatively, is physics. And my foreground is philosophy. On top, it's raining on me. I have two lions of science on both sides.
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