COLLISION SPACE-TIME QUANTUM GRAVITY, THE METRIC PRESENTED IN THIS PAPER

Mass

Mass

formula

Reduced

Compton

wavelength

$\overline{\lambda }=\frac{\hslash }{mc}$

Compton

wavelength

$\lambda =\frac{h}{mc}=\overline{\lambda }2\pi$

Escape

radius

$v_e=c$

$r_c=\frac{Gm}{c^2}$

Escape

radius

time

$t_c=\frac{r_c}{c}$

Escape

velocity at

Compton

$v_e=\sqrt{\frac{2Gm}{\overline{\lambda }}-\frac{G^2{m}^2}{c^2{\overline{\lambda }}^2}}$

Escape

velocity at

redu. Compton

$v_e=\sqrt{\frac{2Gm}{\lambda }-\frac{G^2{m}^2}{c^2{\lambda }^2}}$

Acceleration

at $r_c$ where

$v_e=c$

$g=\frac{GM}{r_c^2}$

Planck mass

$m_p=\sqrt{\frac{\hslash c}{G}}$

$l_p$

$l_{p}2\pi$

$l_p$

$t_p$

$\approx 0.54c$

$c$

$a_p$