Quantum waves constitute matter. Wave functions are the mathematical functions describing these matter waves and their interactions. The concept is an ideal, but it is based on the observation of real wave properties, specifically, interference of the type demonstrated in Young's experiment. — Dfpolis
Without an underlying substance which is waving (the proposed aether for example), these are not real "waves", and cannot constitute matter. Being "ideal", there is no representation for the accidents of "matter". There is simply "uncertainty", with no matter/form distinction to isolate the uncertain aspects from the certain. The result is that uncertainty permeates the entire conceptual structure. It's a type of formalism whereby the content is incorporated right into the form, to produce the illusion that the conceptual structure is entirely formal, thereby eliminating the unintelligible content (matter), but this is just an illusion. In reality though, the unintelligibility of content (matter) is incorporated right into the form from the premises, allowing it to permeate the entire conceptual structure as uncertainty.
You may insist that the idea of immaterial waves, waves without substance, is good enough for physics, but it's not good enough for metaphysics. It would seem like physics allows contradiction then. "Wave" is defined in physics as a disturbance moving in a medium. Allowing contradiction into the premises by premising a wave with no medium, is what allows uncertainty to permeate. "Matter" as the designator of the unintelligible is lost as being incorporated into the form.
Rather, mass is a quantity associated with them. — Dfpolis
Now we have ambiguity as to what "mass" is. In some cases it's the property of a body, and in other cases, it's "a quantity associated with them". This is further evidence of allowing the unintelligible into the premises as the result of formalism. What does that "quantity" represent then, if it is not a property of a body?
It seems like "mass" has become just a variable, a number assigned arbitrarily, but according to rules, to make the equations balance. What is the mass in X set of circumstances? It is whatever quantity is required to balance out the equation. No wonder symmetries are all over the place, they are created whenever desired, by assigning a quantity for "mass" which is required for upholding a symmetry. "Mass" is based in nothing other than the quantity required to fulfill the needs of the physicist. to maintain the invariance prescribed by laws such as conservation laws and the invariance of the speed of light in relativity.
You need to read the history of modern physics if you want to think about these things. It was assumed that we could measure different speeds of light as the earth passed through the either. In 1887 Albert A. Michelson and Edward Morley attempted to do so, and failed. They measure the same speed in each direction and at different orbital positions of the earth. So, we were forced, experimentally, to conclude that the measured speed of light is invariant. Contrary to popular belief, their experiment did not show that there is no aether, but that one aether theory was false. — Dfpolis
This is exactly what I argued in another thread recently, "Contrary to popular belief, their experiment did not show that there is no aether, but that one aether theory was false". But your stated conclusion "that the measured speed of light is invariant", is equally inaccurate. What the experiments demonstrate is that the substance of the physical body, and the substance of the aether, are not distinct substances, but they must be one and the same substance. The experiments involved a very narrow range of type of physical body, so there is insufficient evidence to extend the supposed invariance to other types of bodies, like atoms and the parts of atoms, and in the other direction, galaxies and large things like that.
No, it is not. Fourier transforms enter into the derivation of the uncertainty principle. — Dfpolis
Conjugate variables are the pairs which bear the uncertainty relation of the Fourier transform. It is because of this uncertainty relation prescribed by the Fourier transform, that the relation has the name you gave it . Energy, as "the dynamic variable conjugate to time", denotes an uncertainty relation. According to "Quora", this is what ChatGPT said"
Why are energy and time complementary variables in quantum mechanics?
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ChatGPT
In quantum mechanics, energy and time are described by the Heisenberg uncertainty principle, which states that the more precisely the position of a particle is known, the less precisely its momentum can be known, and vice versa. The same applies to energy and time, where the more precisely the energy of a particle is known, the less precisely its time can be known, and vice versa. This is due to the wave-like nature of particles in quantum mechanics, where a particle can exist in multiple states simultaneously until it is measured, at which point it collapses into a single state. The uncertainty principle is a fundamental principle of quantum mechanics and is a result of the wave-particle duality of matter.
So, yes it is true that defining energy as ""the dynamic variable conjugate to time" puts "energy" into a wider context, just like defining "hot" as the opposite of cold puts "hot" into a wider context, but you now need to respect the context which you have placed "energy" into. You have placed it into the context of having any uncertainty relation with time, as determined by the Fourier transform. This is unlike the certainty relation created by defining "hot" as the opposite of cold. If it is hot it is not cold, is a relation of certainty created by that definition.
Let me be more precise. I mean we have been unable to detect violations of conservation of energy. — Dfpolis
Violations of conservation of energy are detected anytime an experiment is carried out. All of the energy can never be accounted for. There is always a quantity which is lost as time passes. Within a "system", the energy loss may be written off to entropy, and then some people might assume that the energy remains within the system but is unavailable to it. But this is not actually implied, the energy is simply lost. And, it's rather nonsensical, to think that the energy is still in the system when it has been lost to the system. To support the nonsense one might simply adjust the amount of mass assumed to be in the system so that it appears like conservation is upheld. That's the problem with mass being an associated quantity rather than a property of a body, the quantity may be variable, and allowed to be manipulated so as to conform to the theory, providing for the appearance of symmetry.
But, we can. That is what physics, chemistry, biology, etc. do. — Dfpolis
Are we adhering to Aristotelian terms or not? What is represented is always form. "Matter" names the aspect of a thing which does not enter into the understanding. Science produces a formal understanding, and there is always something at the bottom which escapes the formalization, this is the "matter".
However, the modern conception of "matter" has been altered by Newton's laws which name "mass" as a property of matter. But properties must be formal. This move by Newton allows the unintelligibility of "matter" into the formal representation, an example of the problem with formalism which I explained. Now the unintelligibility inheres within the concept "mass". Further, an equivalence has been established between mass and energy by means of Einsteinian relativity and the supposed invariance of the speed of light, such that the unintelligibility of matter, through the means of the concept of "mass" manifests as the uncertainty of the uncertainty principle.
We cannot say that. We can only say that in some cases, we are unable to observe possible imperfections, so, we have no reason to believe that the symmetries are imperfect. — Dfpolis
Symmetries are not imperfect. I am not saying that symmetries are imperfect. What I am saying is that they are ideal, and represent nothing real in the natural, physical world, due to the assumed perfection of the ideal. Current use of "symmetry" is analogous to the ancient law of perfect circular motion criticized by Aristotle in "On the Heavens". Aristotle demonstrated how a thing moving in a circular motion must be a body, and the body must consist of matter, and by this fact it is generated and corrupted, therefore not eternal. So what was demonstrated is that as much as eternal circular motion is logically consistent, and therefore a real logical possibility, the reality of matter in the physical world makes this ideal physically impossible. There must be something material, corruptible involved in that activity, rendering the eternality as impossible, therefore the entire concept as a false representation for anything real.
The very same thing is the case for modern symmetries. The "invariance" described by the laws is ideal and logically consistent, but not truly representative of, or corresponding with, the physical reality of material existence. This problem is covered by Hume's discussion of the incompleteness of induction. The laws of physics have limits to their applicability such that the "invariance" implied by them is not a true, or real representation, because it breaks down at these limits, and the idea that "invariance" is a true or real aspect of the physical world is a faulty conclusion drawn from the fact that the range of applicability appears to be broad, and everything outside this range is ignored. This issue with the supposed "invariance" of the laws of physics is explained well by physicist Lee Smolin, in his book "Time Reborn"
You do not understand the meaning of "symmetry" in physics. It is not the kind of thing that can interact. Rather it is a property of the way things interact. — Dfpolis
The above paragraph ought to demonstrate that this is incorrect. The laws which describe the way that things interact suffer from Hume's problem of induction. And, the invariance presumed, which makes the law a "law" is evidenced only by observations made within the confines of the limits of applicability of the law (ref. Smolin). The invariance, therefore symmetry, of these ideal laws, is not a true representation of the way that things actually do interact.
And it's not a matter of some interactions are consistent with the laws and some are outside the laws. What is the case, is that all interactions have aspects which partake of the extremely micro, and aspects which partake of the extremely macro, so all interactions have aspects which fall outside the range of applicability of the laws. This means that the symmetry expressed as "a property of the way things interact" is not a true representation of any interaction at all, just like an eternal circular motion is not a true representation of any motion at all.
A good example is the law of conservation of energy which you mentioned. Empirical data, observational evidence indicates that energy is never completely conserved in any interaction. This means that any symmetry derived from application of this law is not a true representation, because energy is not actually conserved.
The obvious implication is that we need to determine why energy is never completely conserved in order to have a true understanding of the nature of material existence. The faulty conclusion is that this slight imperfection in the law is simply a difference which does not make a difference. To identify something as a difference, and then insist that it hasn't made a difference is contradictory. Therefore we need to take account of these slight imperfections which demonstrate that the ideal symmetries do not truthfully represent material existence.
I'm not a physicist or topologist, so I'm not qualified to argue the question of "faulty deduction". Are you? — Gnomon
Deductions are logic, which is part of the discipline of philosophy, not physics. Philosophers are trained to determine whether deductions are faulty or not. So if a physicist makes a faulty deduction, being poorly trained in philosophy, it is the task of the philosopher to identify the faulty deduction and bring it to the attention of the physicist.
Are you suggesting that physical symmetry --- or its "application" to philosophy --- violates some higher rule of reality? — Gnomon
I am suggesting that the symmetries of physics are highly useful principles (like my analogy of perfect circular motion which is eternal, was highly useful thousands of years ago, and variations actually remain in many concepts employed in physics), but they are ideals which do not truthfully represent anything existing naturally. So, when we take these ideals, and try to represent them as what is fact, or true in nature, or reality, we are making a mistake of misunderstanding the true nature of reality, which has none of these symmetries in any part of its existence.
Does physical symmetry have a philosophical role in the Dualism vs Monism question? :smile: — Gnomon
Ideals such as "symmetry" play a key role in demonstrating the interaction problem. If way say that a symmetry such as perfect circular motion is in any way a real part of the physical material world, then that perfect symmetry is necessarily isolated from the rest of the world. If it interacted with the material , world which does not consist of those perfections, in any way, the symmetry would, by that interaction, be broken. So, for example, the body engaged in the perfect (ideal) circular motion described by Aristotle would necessarily be eternal. If that body interacted with anything else in the world this would break the perfection of the circle, altering the body, and rendering the whole concept as not applicable. Therefore if these ideal symmetries described anything real within the world, the real things described by them could not be interacting with anything else in the world.
Uncertainty arises from thinking of waves as particles. — Dfpolis
The uncertainty principle is not so simple. What I believe is that the concept of "mass" incorporates the unintelligibility of "matter" into the formal description of a body. "Mass" as representing "matter" is something unintelligible, which is disguised as being understood in the conceptual structure. When compatibility between mass and electromagnetic radiation is attempted, the limits to our capacity for understanding rapid wave activity described by the uncertainty relation derived from the Fourier transform, is transferred, implanted, and disguised in the unintelligibility inherent within the concept "mass". The uncertainty produced by our limited capacity to understand these waves, is absorbed into the unintelligibility of "mass", hence the tendency to think of waves as particles, particles being understood as things with mass. So the uncertainty is more properly assigned to the attitude of thinking that bodies have mass.