Can you verify this calculation ?

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Discussion Overview

The discussion revolves around the validity of a proposed calculation related to the holographic principle and quantum information. Participants explore the implications of using the Compton wavelength in calculations of entropy and space-time, as well as the relationship between quantum mechanics and cosmological phenomena.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant proposes that quantum information creates an interference pattern influencing the perception of space-time, suggesting a calculation based on the Compton wavelength.
  • Another participant questions the validity of using the Compton wavelength to calculate the Hartley entropy and Boltzmann's law, seeking confirmation on this approach.
  • A later post suggests that the lack of acceptance of non-locality among physicists may explain the absence of the Compton wavelength in mainstream calculations, citing String Theory as an example.
  • Participants discuss the implications of increased entropy and information on the expansion of the universe, linking it to cosmological redshift.
  • There is mention of Smolin and Susskind's work regarding the Compton wavelength, with a critique of their equations and a preference for Shannon entropy instead.

Areas of Agreement / Disagreement

Participants express differing views on the use of the Compton wavelength in calculations related to the holographic principle and entropy. There is no consensus on the validity of the proposed calculations or the implications of non-locality.

Contextual Notes

Participants highlight the complexity of using Shannon entropy compared to the proposed methods, but the discussion remains open regarding the assumptions and definitions involved in these calculations.

czes
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I do show my simple calculation since some weeks. Is it correct or wrong ?

The distance and all the space is created by a quantum information. It agrees with a holographic principle. I propose a simple calculation if we assume the quantum information creates an interference pattern due its probability. The time dilation of the interaction between the non-local quantum information creates an illusion of the space-time. We receive a known holographic relation if we assume the structure of the space is based on the Compton wave length:
[M/m]*[2 pi R/L(1)] = [R [tex]c^2[/tex] / 2Gm]*[2 pi R / (h/mc)] = pi[tex]R^2[/tex] / ( hG/[tex]c^3[/tex]) = pi[tex]R^2[/tex]/[tex]L^2[/tex] = A/4[tex]L^2[/tex]
where M/m is a number of the rest mass particles in a system, R=average distance between particle=radius of the sphere around a system, L(1) = an average Compton wave length of the particles, L=Planck length.
http://www.cramerti.home.pl/

If it is correct the space, time, matter, energy is made of a quantum information. Time is just an entropy of the system.
We can also use Planck time and Compton wave time of the oscillation.

Physicists use Shannon entropy till now, what is very complicate.
http://lanl.arxiv.org/PS_cache/gr-qc/pdf/9310/9310026v2.pdf
 
Last edited by a moderator:
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If my assumption that number of microstates per particle W=2 pi R / h/mc is correct we may then complete the Hartley entropy H=log M = log (2 pi R/ h/mc) and also Boltzmann's law S=k log W = k log (2 pi R / h/mc).
Where R=mean path of the particle creating a system, h/mc= Compton wave length of the mean particle in the system.

Anybody can write if we may do that ?
 
Is here "Question and Answer" on this forum ?
I have above a simple question:
May we use the Compton wave length to calculate Holographic Principle ?
It is much easier than a statistical integral of thesum of the probabilities as in Shannon entropy. Additionally it explains interference patterns, darkmatter/dark energy effect.
http://www.cramerti.home.pl/
 
Last edited by a moderator:
Probably the reason that the physicists didn't use the Compton wave length is that they do not believe the non-locality is a real phenomenon in physics. In String Theory for example there are particles in an empty space which mediate the interactions. According to non-locality the particle is everywhere with a certain probability and interacts with each other there and here. The distance between the particles creates a number of the non-local information of the Compton wave length.

It explains a cosmological redshift as the space recession. If there are added more information in a chain between the particles the distance increases. This supply of the information (increae of the entropy) causes expansion of the space of our Observable Universe.

Smolin and Susskind wrote about Compton wave length in relation to the whole mass (M) of the system, then (2 pi R) / (h/Mc) = A /4 [tex]L^2[/tex]
but this equation doesn't has a sense. Therefore they used Shannon entropy.
 

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