Changes

After Einstein discovered his equation for the energy of a particle

After Einstein discovered his equation for the energy of a particle

:<math>E=mC^2</math> ...... (1)

:<math>E=mc^2(x)</math> ...... (1)

where <math>C^2</math> is square of speed of light in vacuum adjusted by <math>(d\tau/dt)</math> (ratio of proper time to coordinate time<ref>

where <math>c^2(x)</math> is square of speed of light in vacuum adjusted by <math>(d\tau/dt)</math> (ratio of proper time to coordinate time<ref>

This ratio is expressed usually as

This ratio is expressed usually as

:<math>d\tau/dt=\sqrt{g_{oo}}</math>,

:<math>d\tau/dt=\sqrt{g_{oo}}</math>,

in sign convention used in physics, where times are considered to be positive and distances negative  

in sign convention used in physics, where times are considered to be positive and distances negative <math>g_{oo}</math> in both notations is time-time component of metric of spacetime, which means that

:<math>g_{oo}</math> in both notations is time-time component of metric of spacetime, which means that <math>mc^2 \sqrt{g_{oo}}</math> is not a constant but a function of time and we may take its non vanishing derivative with respect to time to calculate gravitational force.

:<math>E=mc^2 \sqrt{g_{oo}}</math>  

 

is not a constant but a function of time and we may take its non vanishing derivative with respect to time to calculate gravitational force.

</ref>) and <math>m</math> is rest mass of a particle though the equation works also for ''[[relativistic mass]]'' with just the energy increased by kinetic energy of the particle, it turned out that this mysterious force of alleged ''attraction'' comes just as derivative of the above equation with respect to displacement of the particle <math>dx</math>.  

</ref>) and <math>m</math> is rest mass of a particle though the equation works also for ''[[relativistic mass]]'' with just the energy increased by kinetic energy of the particle, it turned out that this mysterious force of alleged ''attraction'' comes just as derivative of the above equation with respect to displacement of the particle <math>dx</math>.  

This is the whole qualitatative mystery of how ''"gravitational force"' is generated in Einsteinian physics.

This is the whole qualitatative mystery of how ''"gravitational force"' is generated in Einsteinian physics.

Now we show also its quantitative aspects to be sure that it is really the ''"gravitational force"''.  

Now we show also its quantitative aspects to be sure that it is really the ''"gravitational force"''.

====Quantative aspects of gravitational force====

====Quantative aspects of gravitational force====