Abstract
It is well known that Einstein published in June 1905 his theory of Special Relativity (SR) without entirely based on space-time Lorentz Transformation (LT) with invariance of Light Velocity. It is much less known that Poincare published, practically at the same time, a SR also based entirely on LT with also an invariant velocity. However, according to Poincare, the invariant is not only that of light wave but also that of Gravific Wave in Ether. Poincare’s Gravific ether exerts also a Gravific pressure, in the same paper, on charged (e) Electron (a “Hole in Ether” according to Poincare). There are thus two SR: That of Einstein (ESR), without ether and without gravitation, and that of Poincare (PSR), with Electro-Gravific-Ether. The crucial question arises then: Does “SPECIAL” Poincare’s (e)-G field fall in the framework of Einstein’s GENERAL Relativity? Our answer is positive. On the basis of Einstein’s equation of gravitation (1917) with Minkowskian Metric (MM) and Zero Constant Cosmological (CC) we rediscover usual Static Vacuum (without charge e of electron). On the other hand with MM and Non-Zero CC, we discover the gravific field of a Cosmological Black Hole (CBH) with density of dark energy compatible with expanding vacuum. Hawking’s Stellar Black Hole (SBH) emits outgoing Black Radiation, whilst Poincare’s CBH emits (at time zero) incoming Black Radiation. We show that Poincare’s G-electron involves a (quantum) GRAVITON (on the model of Einstein’s quantum photon) underlying a de Broglie’s G-Wave. There is therefore a Gackground Cosmological model in Poincare’s basic paper which predicts a density and a temperature of CBR very close to the observed (COBE) values.
Highlights
Poincaré’s Gravific Waves and Gravific Pressure on Electron in the Framework of Special Relativity (SR) (1905)From a historical point of view, there was one theory but two theories of SPECIAL RELATIVITY SR ([1] [2]) quasi-simultaneous, 1905): that of Poincaré (July, [1]) and. that of Einstein (June, [2])
On the other hand with Minkowskian Metric (MM) and Non-Zero CC, we discover the gravific field of a Cosmological Black Hole (CBH) with density of dark energy compatible with expanding vacuum
“Electrodynamics of Moving Bodies” (ESR, [2]) and “Dynamic of electron” (PSR, [1]), are very close but not confused1. Both theories are based on the same space-time LORENTZ TRANSFORMATION (LT, with invariance of light velocity c, but there exists a crucial difference that seems irreducible: Unlike Einstein which deletes ether, Poincaré claims the existence of a relativistic ether with “gravific waves” (§1-1) and gravific pressure on electron (§1-2)
Summary
Poincaré’s Gravific Waves and Gravific Pressure on Electron in the Framework of SR (1905). “Electrodynamics of Moving Bodies” (ESR, [2]) and “Dynamic of electron” (PSR, [1]), are very close but not confused1 Both theories are based on the same space-time LORENTZ TRANSFORMATION (LT, with invariance (limit) of light velocity c, but there exists a crucial difference that seems irreducible: Unlike Einstein which deletes ether, Poincaré claims the existence of a relativistic ether with “gravific waves” (§1-1) and gravific pressure on electron (§1-2). Poincaré does not write in 1905 any formula for its internal e-gravific density (or pressure) This formula we is explicitly written by Langevin (in 1913) on the basis of the implicit (for a hole) model of surface charge distribution in the spherical radius re of Poincaré’s electron or “hole in ether” This work could be considered as a new unexpected approach of Einstein’s Unitary (eG or Ge) Field
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