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why this egality is exact please ?


stephaneww
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Hello beecee and thank you for your return

Indeed it is not evident...

... but, I may have understood what the researcher told me.


For the singularity at Planck time, one should consider the Boltzman constant kB with only one degree of freedom (=singularity =single particle?) at Planck temperature.  Its energy in joules would be :


Eth=1/2 kB TPl = 1/2 mPl c2

One would thus find for each mass o = 1/2 mPl its thermal energy thanks to c2. It would be in this sense that to speak of mass instead of energy would be improper.

Does it make sense like that ?

 

If we can take this step, we can examine how this model would be compatible with the expansion.

 

note, use a translator : Eth=1/2 kB T  for one degree of freedom, it is not available in english version

 

3 hours ago, joigus said:

What does it give you for the #photon/#nuclei ratio? Why is it nearly 1010?

Why are there about 1090 photons in the universe?

Those are the questions you should be asking yourself in the context of your model.

I meant the visible universe --within the Hubble radius.

Hi joigus

I don't know how to answer that. I only discuss mass (=energy) at the moment.

Edited by stephaneww
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Hi,

what do you think about this figure please ?

in my opinion it is closely related to the equality introduced at the beginning of this tread. it lacks a caption for the moment, I will do my best to explain what i think it means according to your possible questions.

 

time = 1/H , It can exist before tPl.

The distances of the 3D flat space increase with time.

th tout 1.7 final.png

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hi

 

we forget the last two messages and try to move on

MH=(1+2+3+4+5+...+tH) 1/2mpl

RH=(1+2+3+4+5+...+tH) lpl

Expansion and acceleration

of the expansion of the visible universe.

time = 1/H , It can exist before tPl or t = 0.

The distances of the 3D flat space increase with time.

 

 

expansion hubble final1.png

Edited by stephaneww
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hello swansont

thank you for your relevant criticism

this formula is indeed incorrect

RH = (1+2+3+...+tH) lp

the sigma summation :

RH = (1 tp/tp+2 tp/tp+3 tp/tp+...+tH/tp) lp

if I am not mistaken, corresponds to the diagram

 

 

 

Edited by stephaneww
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precisions for the above diagram :
- time = 1/H , It can exist before tPl.
- the distances of the 3D flat space increase with time. l = c t and t = l / c
-each of the 3 axes of the 3D flat space merges with the time axis and vice versa  

let's try to go forward with the correspondence of the critical density of my model with the one of the standard cosmological model :

 

Screenshot 2021-11-07 at 21-19-41 origineV13 pdf.png

Screenshot 2021-11-07 at 20-53-03 origineV13 pdf.png

Edited by stephaneww
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