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joigus

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joigus last won the day on March 5

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About joigus

  • Birthday 05/04/1965

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    Biology, Chemistry, Physics
  • College Major/Degree
    Physics
  • Favorite Area of Science
    Theoretical Physics
  • Biography
    I was born, then I started learning. I'm still learning.
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    teacher

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  1. Molecules can vibrate, rotate, twist, and scissor, etc. In fact, there are DOF that are not obviously rotational/vibrational, etc. but some complicated so-called normal modes like, https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Supplemental_Modules_(Physical_and_Theoretical_Chemistry)/Spectroscopy/Vibrational_Spectroscopy/Vibrational_Modes/Number_of_Vibrational_Modes_in_a_Molecule Recently, a key to why CO2 (kinda mysterious, as it's just a boring non-polar linear molecule) is such an important agent in global warming has been found to have a root in resonances of such non-obvious normal modes due to Fermi resonances: https://arxiv.org/pdf/2401.15177.pdf
  2. Sorry. Here's a lowdown of the vocabulary I've used. Tell me, please, where the problem is: Degree of freedom Temperature Specific heat internal (rotational/vibrational) vs external (CoM) cutoff (making some energy --or wavelength-- domain irrelevant; see next) freezing (as in freezing degrees of freedom by making them very unlikely to store energy under thermal-equilibrium conditions).
  3. Absolutely. Sorry I missed this very good argument for so long. It's only because of what you say that different molecules have different specific heats as a function of temperature. The internal degrees of freedom are totally relevant. This is exactly the reason why different molecular components have different specific heats. What other reason could there be for different gases to display different specific heats if only the CoM DOF were relevant? Quite a different matter is how quantum mechanics introduces a cutoff for short-length degrees of freedom (independently of how poly-atomic a gas is), and how this played a crucial role in the dawning of quantum mechanics itself. (Birth of the old quantum theory as a mechanism to freeze the short-wavelength DOF.)
  4. Agreed. @martillo's suggestion is not going to work. Your suggestion is, if I understand correctly, a valiant attempt --let's put it that way-- to try and make sense of their hopeless intention to define temperature as an attribute of one molecule or atom. I think you're right to say that the ergodic theorem is essential to define thermodynamic equilibrium. If most typical physical systems we deal with were not ergodic, I don't think statistical ensembles would work at all within the context of variables such as the partition function, temperature, Helmholtz's free energy, entropy, and such. It would be a disaster. The least I can say is those variables would be as good as useless. So why bother trying to make sense of something that just doesn't? Just to spite me? Temperature is an ensemble-related parameter. There is no operational definition that would allow us to measure the temperature of a molecule either. There is no theoretical framework that allows us to define it in such a way except by way of the ensemble. Temperature is an ensemble property. Even more so than entropy is. At least the microscopic entropy of a molecule can be defined as the volume of phase space for that molecule, which is always the same. Not so for temperature.
  5. Sorry, pseudoscience is beyond my scope. I'm out.
  6. I'm sorry I was disrespectful to the geometry[?!]. I think you're trying to talk about the Arahonov-Bohm effect. Now I'm positive that's how you connected the words "Bohm" and "holonomy". It's about this: https://en.wikipedia.org/wiki/Aharonov–Bohm_effect Aharonov-Bohm holonomy has nothing to do with realism, locality, or any of that, even though the word "Bohm" appears there too. It's the De Broglie-Bohm theory that does. Kinda like the Maxwell-Boltzmann distribution has very little to do with Maxwell's equations, except for Maxwell. Do these comments help a little bit?
  7. Hey, nice account. BTW, I recommend you Copenhagen, by Michael Frayn. It's about that (in)famous meeting, and offers a possible development that I can only conceive as happening with a many-world view.
  8. From what I know (and I know one case personally) it wasn't obvious during pre-pubescent stage and there were environmental factors that triggered it post-puberty. So what you say checks with my personal experience. That's why gene-based diagnosis is sure to become essential in the future.
  9. Only when a system is in thermal equilibrium, and provided it is ergodic, the time average of the kinetic energy coincides with the ensemble average at any one time. So you need the ensemble plus the fact that the system be in thermal equilibrium plus ergodicity. Very very special conditions indeed. And when it works, you've used the whole ensemble to define it... So it's not a property of the particle. It's a property of the ensemble! So no --I insist--, there is no temperature as a property of a singled-out particle of an ensemble in general. And when there is such a thing, it's only by stretching the concept so that what really is a property of the ensemble is decreed to be a property of any and every one of the members of the ensemble. I don't see how this definition does anything, really. And believe me, I would like nothing more than to be illuminated about anything physics.
  10. I didn't mean religious people --see my comments to Luc Turpin below. Apparently schizotypals were discovered as a consequence of behaviour scientists wondering: How come an illness as detrimental as schizophrenia is so significantly present in the gene pool? --In the ballpark of 1%. Wouldn't there be a milder but related version of the illness that could be proven as advantageous under certain circumstances? The parallel was sickle-cell anemia, which can kill you, but a milder version of which can protect you from malaria. So they found a high correlation of peculiar characters in relatives of people suffering from schizophrenia. I wouldn't dare to use the term "ill" for any of these people. AFAIK triggering of even serious form of schizophrenia only happens after environmental factors have made their appearance. But I'm very far from being an expert here and I'd gladly accept corrections by anyone who knows more about this. But not this one. Sorry, by "religious types" I didn't mean the followers of a religion. Rather, I meant the prophets, the visionaries, the people who hear voices, the people who see angels. You know, the founders of religions. The following of a religion is a completely different matter. Some people join because they feel comforted, others because they want to fit in, others because they are folklore-motivated, etc. Who knows. At least, I don't.
  11. It is a branch of math. https://www.britannica.com/science/geometry The branch is part of the tree, although the tree is not the branch.
  12. Schizotipical behaviour is not to do with mental stability. It's to do with delusional perception of experience (sensory or otherwise). Have you skimmed through the wikipedia article or references thereby? My emphasis in boldface in a sample from mentioned article: Etc.
  13. The very moment you posit that your theory is local. (emphasis mine) A theory is or is not local depending on a postulated interaction, or else by way of an ad hoc postulate or axiom. Yours is neither. It is neither non-local, nor is it local. It's only named "local" by you. And forgive me having overlooked this, but, what do you mean it overcomes Bell's inequalities? Quantum mechanics as is already overcomes Bell's inequalities, ie, it violates local realism. Bell's inequalities are a consequence of local realism. So again, what do you even mean?
  14. Protons are nothing like electrons. We do know as much. In what sense is this "holonomic"? "Holonomic" means integrable, exact, it goes back to itself after a loop. I don't see anything holonomic here. I can't fathom what's Bohmian about it, or local/non-local, as the case may be, as no mention of how position variables function in the "theory" can be spotted. Summarising, it very much sounds like word salad with no maths underpinning it. No calculation, no formal-mathematical justification. What description?
  15. Picture an inflating balloon. Now suppress the space around and inside the balloon, as there is no such thing as "inside" or outside the balloon. There would be only whatever stuff makes up the balloon. Now make the balloon itself 3-dimensional, with time providing for the "history" aspect of it. Spaces don't have to be embedded in higher-dimensional spaces. IOW, the only existing directions are those tangential to the balloon's rubber if you will.
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