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Mordred last won the day on October 15

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About Mordred

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    University of the Caribou
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    cosmology and particle physics

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  1. Here this will also help to know the commutations as applied to Hamiltons. Unfortunately the better explanations are typically in textbooks so I will keep digging for you. The first link is an example applied to a spacecraft. Second link has added details
  2. mine too lol night mate. Here add this to your study list, you will find understanding the 4 quaturnion numbers incredibly useful to understand Hamilton and any QFT theory. Above once again can be applied to any number of dimensions including time. (basis behind the rotation matrixes) ie modelling a particle state under acceleration.
  3. Mixed states will involve both linear and nonlinear treatments. Mixed states is interesting, I'm not steering you from mixed states but you will find understanding curvilinear a necessity to some of the mixed state examinations.
  4. Glad to see the trace operator above. Been a long time since I last seen a discussion mention Bose-Hubbard. Some of the other models I don't recall. Looks like your understanding of QFT based papers is sufficient that you can easily process numerous different model dynamics and get a good strong understanding of those models. Glad to see the leap and bound change in your comprehension of these papers. Most of the work you have been doing are linear treatments. A good section to study would be curvilinear treatments, in particular Bevier curve approximations. As applied to a graph, this will relate to certain operators on curvilinear treatments. Once you have curvilinear ie [latex]SU^{n+1}[/latex] there won't be a field treatment that you wouldn't be able to understand a decent portion of. You already know the SU(N) aspects with the above largely. Once you have the first group you can understand any particle physics group of the SO(10). Also good catch noticing that one state does not need to have any interaction with another state in order to have a correlation function A does not need to have anything to do with B. That's one of the tricks of statistical math. If the two have similar trends then there is a correlation. (A couple of good statistical mechanics textbooks and also on Vector Calculus is your best aid to any QFT model)
  5. Is the Universe infinite?

    Hrrm how to explain e-folding. It is in essence a doubling of volume with a time derivitave. The constant e is a derived constant. See here in essence the universe increased in volume roughly [latex]10^{26}[/latex] to save you the calculations. Assuming 60 e-folds. More accurately distances increased by a factor 10^26.
  6. Microwave Background Radiation???

    By released, the density was such that prior to the "release". That the mean free path of photons was approximately [latex]10^-32 metres[/latex] if I recall correctly. epoch commonly called dark ages under Cosmology. We cannot get messurements of nor past this epoch. Once atoms started forming the average density decreased enough that photons could travel far enough to reach us today. We can see the haze, via a combination of Hubble and strong gravitational lenses.
  7. Microwave Background Radiation???

    No its a bit more complex than that. After the first 10^-43 sec. Inflation occurs, this caused a rapid supercooling via the ideal gas laws. However inflation didn't instantly stop but slow rolls to a stop. This event caused a rapid reheating stage. Now the volume has increased exponentially so particles will become stable, ie drop out of thermal equilibrium. The temperature is low enough that atoms can now form. This removes a large percentage of free ptotons neutrons and electrons. Thus reducing the opacity of the CMB, this is the surface of last scattering. The uniformity we observe is due to the rapid expansion supercooling and slow roll reheating in such a short time frame, that temp/mass density anistropies didn't have time to redeveloped after being evenly redistributed.
  8. The end of the quantum vacuum catastrophe ?

    The equation of state w=-1 for the cosmological constant is valid and agrees with observational evidence thus far. What is not mentioned is that it is the same equation of state for an incomparable fluid which can be mathematically defined under the Euler hydrostatic equations. ( Though few textbooks will mention this either). An equation of state in essence gives us a dimensionless value for the energy density to in essence, pressure influence. Via the ideal gas laws. Later tonight I will try to find the mathematical proof for the W=-1 with regards to Lambda. They can be tricky to find.
  9. Is the Universe infinite?

    Ego is best left at the door on Mordred's couch . Lol no place for it in science.
  10. Is the Universe infinite?

    I have a far more complex way of thinking of geodesics. It is the sum of all infinitisimal deviations between two seperation points due to the local infinitisimal field interaction at each coordinate and immediate surrounding infinitisimals within infinitisimal causality units. Whats real fun is understanding and applying the above under lattice gauge treatments. Here is a thought experiment to understand local. "What is the radius of a field that can interact with a particle, bofore the particle moves " Now obviously the above has no easy answer, as numerous factors will need to be known. However it demonstrates the principle of local under motion and causality.
  11. So you think you know EM? Explain this!

    Right and read your OP again, then compare that to the quality of post your presenting now... Anyways enough said about that. With regards to your questions above this will take a bit to put together. Give me a bit of time on it. How much do you understand on spin connections with regards to superconductor materials? Its an arena that actively applies the required mathematics.
  12. To add to this, we can also infer from the above the luminosity to mass relations, accounting for the above Doppler shifts influences upon spectral index measurements. This is in regards to understanding how Zwicky determined the missing mass problem. The mass to luminosity correspondance to rotation curves showed a considerable amount of missing mass.
  13. So you think you know EM? Explain this!

    You don't measure the talent of a forum by being scattering a few key terms into a post. For example you claimed Maxwell theory cannot describe the above, yet the entire field of superconductors does well in describing the above. Is there perhaps something wrong with those treatments that you disagree with or what is it that you find doesn't work about them to claim they cannot describe Block? where is your mathematical proof that Maxwell cannot describe the relations your after in this post? Your images are utterly useless, this is physics. Not drawing class.... You imply requiring an ether in them yet have posted zero zip on mathematics. So don't presume to lecture us. here is an example isn't it funny that there is literally 100's of examples of using Maxwell to model Bloch domain walls and its part of the MIT lessons? yet you come here with extremely poor terminology on your OP, and don't address that issue itself??? What is wrong with these equations in regards to your claims?;sequence=1
  14. exactly, another way to think of it is spatial infinity via equation 2 of this article. though hadn't read the article for quality etc, the formula is accurate.
  15. Don't think of it as a single worldline but all possible worldlines between event and observer. ie killing vectors of a metric. This is where the debate drops in on your different coordinate systems involved in information loss. Some killing vectors are artifacts of the metric, ie a horizon is an apparent horizon. The majority of this article discusses the killing vectors and touches on Hawking radiation etc :''Black hole Accretion Disk'' -Handy article on accretion disk measurements provides a technical compilation of measurements involving the disk itself. :