M Physics 21: HUP21- The Upper Bound of Cosmic Temperature *** 8.1955E+102 K... ***

Posted by kx21 on August 21, 2003 at 06:42:49:

In Reply to: M Physics 21: HUP21's Dimensional Analysis- D(ML^2/ T^2)D( T) = D(L)D(ML/T).... posted by kx21 on August 20, 2003 at 16:53:43:

***
* M Physics 21
***

HUP21- The Upper Bound of Cosmic Temperature

*** 8.1955E+102 K... ***

Proof:

Given

1) HUP21's Dimensional Analysis:-

D(M)D(L/T)D(L)= D(ML^2/ T^2)D(T)=D(E)D(t) >= h / 4pi;

2) D(M) =< 4.97051E+53 kg - The Mass of the Cosmos

3) The Upper limit of D((L/T))
~ Speed of Light
~ C ~ 3E+8 m/s.

4) Wein's Law:

Max(D(L)) * D(Temp.) = 2.898E+6 mK

i.e. D(L) * D(Temp.) <= 2.898E+6 mK

2.898E(+6) / D(Temp.) >= D(L)

1), 2) & 3) 4) imply

4.97051E+53 * 3E+8 * 2.898E+6 / D(Temp.) >= h /4pi

or

4.97051E+53 * 3E+8 * 2.898E+6* 4pi / h K >= D(Temp.)

i.e.

The Upper Bound of D(Temp.)(i.e. Possible maximum) Cosmic Temperature

~ 4.97051E+53 * 3E+8 * 2.898E(+6)* 4pi / h K

or 8.1955E+102 K

This completes the proof.

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Follow Ups: (Reload page to see most recent)

• M Physics 21: HUP21- The Lower Bound of Cosmic Wavelength *** 3.53609E-97 meter...*** -- kx21 8/21/03 (1)
  • M Physics 21 Link: The Lower limit of Cosmic Wavelength using Planck Hypothesis & Wein Law *** ~ 4.44359E-96 meter *** -- kx21 8/22/03 (0)

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