New estimation of the Boltzmann constant and the Planck constant

Received: 27-Mar-2023, Manuscript No. puljpam-23-6274; Editor assigned: 28-Mar-2023, Pre QC No. puljpam-23-6274 (PQ); Accepted Date: Mar 30, 2023; Reviewed: 29-Mar-2023 QC No. puljpam-23-6274 (Q); Revised: 30-Mar-2023, Manuscript No. puljpam-23-6274 (R); Published: 31-Mar-2023, DOI: 10.37532/2752-8081.23.7(2).89

Citation: Felde KZ. New estimation of the Boltzmann constant and the Planck constant. J Pure Appl Math. 2023; 7(2):89

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Introduction

We use the Einstein equation of General Relativity to compute the Planck constant h and the Boltzmann constant k.

Integration and computation

We compute h, k by means of Einstein’s equation. Our metric is the description of the 4 dimensional spheres, i.e.:

The L.H.S. of the Einstein equation,

Is yielding G_μν = 1. The stress energy tensor is derived from the second derivation of the Faraday tensor w.r.t.F_μν to space time. We specialize on the simplest example with

We receive:

Now in order to compute k we set:

with T is the temperature and k log₂ n being the entropy S. To estimate k

We have to solve:

Calculating 11we receive with logn₂ - logn₁= 2-1=1 with

We set k=1/8πJ/K. Thus the length of some material is growing iftemperature is getting higher.