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Everything posted by joigus

  1. Adding and subtracting the same thing doesn't change the solutions. And they are divergence-free, namely: chargeless. You don't derive a Lagrangian. You either already know the problem well, and then the Lagrangian is pretty much prescribed, or you must postulate a Lagrangian based on symmetry principles (example: the standard-model Lagrangian when it was postulated) because you don't know the dynamics precisely. Your Lagrangian seems to suggest a singled out direction of space, so it could hardly be fundamental, as it violates rotation symmetry. Your Lagrangian, I'm afraid, cannot explain known properties of electrons, like interference, or the Bohm-Aharonov effect, or spin, or electron-electron scattering, electron-photon scattering etc. All of those can be accounted for by field theory. So why change? Just because it's intellectually pleasing to you? Your "theory" is one of many pet theories that lead nowhere useful, as far as it seems.
  2. We've already told you there is no such logic. Take Maxwell's equations. Choose both the charge-density and current-density terms to be identically zero. You get to what's known as vacuum solutions of classical EM. Those are known as electromagnetic waves. They are vacuum solutions (correspond to zero charge). You are blissfully ignorant of basic physics, and a conversation of any kind is impossible. https://en.wikipedia.org/wiki/Maxwell's_equations#Vacuum_equations,_electromagnetic_waves_and_speed_of_light Vacuum = sourceless = no charge Study harder!
  3. To add to your "to do" list: How do you make spin 1/2 from a sum of spin 1 "components"? Are those infinite sums? I'm still waiting for your explanation of charge from non-charge, which we don't seem to be getting any closer to. Nonsense is that which makes no sense, which so far seems quite appropriate.
  4. Agreed. There are other differences that are relevant. Time inversion is a discrete transformation, like all inversions. It bears the question: Could it be that certain solutions of GR continuously transform both time and space so that a continuous evolution brings local observers to a state in which the universe is everywhere the same (including the particular observer) except for a parity transformation? I don't know if that's been considered, but I'm sure it has. I made my comment essentially because I don't think Einstein's theory can be claimed to be "more or less the true explanation of the universe". That's too strong a statement and I don't think there's any hope of that.
  5. OTOH, I wouldn't expect Einstein's theory as a standalone to be more or less the true explanation of the universe. In particular, and as concerns time, I would expect left-right asymmetry and charge conjugation asymmetry (time-inversion asymmetry) in the standard model (and how they play out in combination with gravity) to play a very deep role in it.
  6. Sedenions are non-associative. They're also the first algebra you can build with the Cayley-Dickson construction that is not a division algebra. Ie, it has zero divisors. They're some kind of generalisation of complex numbers. @studiot can probably tell you more. Meanwhile, https://en.wikipedia.org/wiki/Sedenion https://en.wikipedia.org/wiki/Cayley–Dickson_construction And a nice 30-min video by Michael Penn that I recommend,
  7. More info: From: https://en.wikipedia.org/wiki/Quantum_group BTW, you didn't answer. What do you mean by "classical groups"? As in Hermann Weyl's "classical groups"? https://en.wikipedia.org/wiki/Classical_group That's different from "classical" as opposed to "quantum" as used in physics. In that sense, "classical groups" are "rigid" or "static", while quantum groups "flow" from one to another by varying the parameters. And that's practically all I can tell you.
  8. Quantum groups are deformations of Lie groups themselves in the space of parameters. They're of concern mainly to mathematicians or very mathematically-minded mathematical physicists. Related to algebraic topology. I don't know what you mean by "classical groups". Finite groups? Lie groups? Groups relevant to classical mechanics only? I don't know what you mean by "quantum algebra". Seems to be some kind of umbrella term for all the tinkering tools somehow related to quantum mechanics, quantum field theory, and the like. For Hopf algebras I would recommend you more specialised forums, like Mathoverflow or MathStackExchange, after you're through with the obvious sources you can find on the internet.
  9. ℵ0 is obviously a symbol used in a definition. The definition involves a bijection. A bijection to the natural numbers. Any set for which a bijection can be constructed to the natural numbers is said to have the cardinality of the natural numbers. We call this cardinality ℵ0. Mind you, we call this abstract concept ℵ0. The question, Proves that you do not understand the definition of ℵ0. Repeat: You do not understand the definition of aleph naught. Nothing becomes anything. It is what it is. Your question is as meaningless as, eg, What is the magic in the natural numbers that makes n(n-1)...2 become n! ? Cardinalities aren't numbers, although sometimes they can be. They are what they are, and what they are is what they are defined to be. They are defined via bijection, therefore no numbers necessarily, but abstract properties of relations between sets that are equivalence relations, and only sometimes happen to "become something" in the sense that you suggest.
  10. True. Last time I was thinking what on earth that (t,x) (y,z) even means, with no metric or interval, or anything else to tell them apart.
  11. I suppose you could say 2D sphere could refer to S2, which is the sphere that can be described with 2 parameters. IOW: The sphere that can be embedded in a flat 3-dimensional space. Mathematicians sometimes talk about: S1: The circle (the 1-sphere) S2: The ordinary sphere (the 2-sphere) S3: The glome or hypersphere (the 3-sphere): https://en.wikipedia.org/wiki/3-sphere Etc. That as to the maths of it. As to the physiscs of it, as @swansont has pointed out, this would be a strange physics with a 2-dimensional time and a 2-dimensional space in which inverse-square law wouldn't hold. So it's a non-starter.
  12. Glad to see you gave speaking in riddles a rest. 👍 +1
  13. What distinguises x to pair up with t? Why does this x go from -infinity to +infinity while y and z are compact? No. But there's worse: What happens to weak interactions and strong force? Are they outside spacetime?
  14. Brilliant. This is my favourite way of talking about discrepacies in measured lengths and times for different observers, and I love that you just used it. Moving is like taking an angle. In fact, that's exactly what it is: Being at an angle with respect to another "mover". Somewhere else I've explained this as just another kind of foreshortening. Consequences of foreshortening are real enough for anybody trying to --eg-- get a large object through a short door by tilting it. Of course, if you change your state of motion, your previous tilting parameter (your velocity) is no longer the same. This is at the core of so many people trying to "point out" to everybody else that "something is wrong" with relativity.
  15. Thanks for the reaction. Yeah, I found out about this guy a couple of days ago on the Rick Beato channel, and I was blown away.
  16. The Bongo Song Author: Safri Duo Drum cover: El Estepario Siberiano Last 1.5 min are promotional material
  17. Neither do I. There are the vacuum solutions that you point out and they correspond to we all know what. There are also interesting possibilities in the so-called topological vacuum solutions which would not be related to source charges. I'm still trying to absorb the impact of "the spirals would be geodesics", or something equally daft.
  18. Your physics is wrong for several reasons that have been pointed out. But here's another one: Logical fallacy implies a bad use of the rules of arguing in order to prove a point; it says nothing about being right or wrong regarding that point. Thus, even a theory based on false assumptions could be correct in the sense that it provides you with the right mathematical model. Ironically, that's what happened with Maxwell's theory of electromagnetism. He pictured mechanical tensions on a medium, which totally was the wrong idea, as later found out. But it gave the right equations, which in turn led to the right ideas that unfurl the amazing generalisation which is relativity, which you don't seem to understand.
  19. For a less intuitive but more encompassing understanding of energy --if somewhat abstract-- one can't do better than this: https://www.feynmanlectures.caltech.edu/I_04.html Or, perhaps, one can. We have Emmy Noether to thank: https://en.wikipedia.org/wiki/Noether's_theorem#Example_1:_Conservation_of_energy When the mathematical dust has settled, the idea is: Energy is an abstract property of systems which they must have if 1) They can be described by a principle of least action, and 2) Physical laws cannot include time explicitly. As we know both to be the case almost universally (cosmology being perhaps a case when things should be discussed more carefully), physical systems must have an energy.
  20. That's not consistent with Maxwell's equations, only too obviously. And I don't know what you mean by "the photon collapses". A localised dipole produces a field that is zero-divergent everywhere. The total charge of a dipole is q-q=0. Any monopolar term cannot be accounted by the photon.
  21. I tried with both German and Chinese. I had to give up on both, but I would recommend studying challenging languages if only to get an idea of the different ways in which information is organised in them. Chinese really was the biggest challenge in the sense that I realised I'd probably never become any fluent in it no matter how hard I tried taking it up that late in my life. 😢
  22. Yes. Now is this difference enough to justify a different symbol? I'm not saying it is. The phonetics of English is very complicated indeed. It's almost as if every word constituted a case study (that's obviously an overstatement, as there are regularities, obviously). But there are clearly many many irregularities, which must have to do with history. I won't pretend I'm an expert on this, of course. I just like to think about these things. And English has taken a lot of my thinking and observing.
  23. The vocal cords are vibrating when you pronounce "rather" while they're not when you pronounce "with" resulting in two very different sounds. Try it, and you'll see. So, in answer to your question: Since the moment you pronounce them. Exactly as in "them" and "bath" (different). I don't care what funny words any linguist uses to describe them. I've done an experiment, and in my book that is sacred.
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