Mathematical Physics


From Bernoulli to Laplace and Beyond

Authors: Hans Detlef Hüttenbach

Reviewing Laplace's equation of gravitation from the perspective of D. Bernoulli, known as Poisson-equation, it will be shown that Laplace's equation tacitly assumes the temperature T of the mass system to be approximately 0 degrees of Kelvin. For temperatures greater zero, the gravitational field will have to be given an additive correctional field. Now, temperature is intimately related to the heat, and heat is known to be radiated as an electromagnetic field. It is shown to take two things in order to get at the gravitational field in the low temperature limit: the total square energy density of the source in space-time and a (massless) field, which expresses the equivalence of inert and gravitational mass/energy in a quadratic, Lorentz-invariant form. This field not only necessarily must include electromagnetic interaction, it also will be seen to behave like it.

Comments: 8 Pages. Left out background information, tried to increase focus on gravity itself. Corrected misprints.

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Submission history

[v1] 2018-01-03 09:38:11
[v2] 2018-02-24 05:17:35
[v3] 2018-02-25 06:22:41
[v4] 2018-02-28 10:47:53

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