User:Graviprop/sandbox

Poth's Theory of gravitation
In that theory (2012) the gravitational potential is a scalar field $$\Phi$$ given by

$$ \frac{1}{c^2}\frac{\partial^2 \Phi}{\partial t^2}-\nabla^2\Phi=\kappa \cdot \rho $$

Therein $$\rho$$ is the Lorentz scalar proper time density and $$\kappa$$ a Lorentz scalar constant reflecting the common gravitational constant G. $$\rho$$ is defined by

$$ \rho=\frac{\nu_M}{\Delta V} $$

wherein $$\nu_M$$ is the de Broglie frequency of mass M and $$\Delta V$$ the volumen where that mass is localized (cf. http://www.epubli.de/shop/buch/A-New-Theory-of-Gravitation-and-its-Quantization-Hartwig-Poth-9783844243307/22808, ISBN 9783844243307). In classical physics gravitation thus becomes relativistically velocity dependent. The perihelion movement of Mercury follows from that in line with the results from Einstein’s theory of general relativity. The orbital periods of planets and hence spacecraft flybys are shortened by a corresponding extent. The geodesic precision and the frame dragging effect as observed by the Gravity B Probe follow also. There is a gravitational monopole radiation and quasi multipole radiation of the same magnitude as from Einstein’s theory of general relativity. The spin of the new gravitational field is zero in that classical theory. The calculation of the absolute Shapiro delay is amended. Moreover, with the Dirac equation a relativistic quantum mechanical equation of gravitation is obtained which in the classical limit coincides with the new classical theory. Also a quantum mechanical equation of gravitation for the photon is obtained which yields the correct deflection of light under gravitation. The Lorentz scalar gravitational potential can be readily quantized and its quanta can be called gravons.