Changes

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

:<math>E=mc^2</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) 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>.  

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>This ratio is expressed sometimes as <math>\sqrt{g_{oo}}</math>, where <math>g_{oo}/math> is time-time component of metric of spacetime) which means that <math>c_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.</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>.  

It came from the fact that the time ''slows down in vicinity of any external mass'' just by right amount to cause such force.  

It came from the fact that the time ''slows down in vicinity of any external mass'' just by right amount to cause such force.  

It is the whole mystery of ''gravitational force'' demystified by Einsteinian ''[[time dilation]]'' and the ''[[curvature of space]]''. Turning out to be the '''inertial force''', ''pushing'' the particle towards mass <math>M</math>, that allegedly ''attracts'' it but in fact only changes the rate of time around itself (slowing it down).  

It is the whole mystery of ''gravitational force'' demystified by Einsteinian ''[[time dilation]]'' and the ''[[curvature of space]]''. Turning out to be the '''inertial force''', ''pushing'' the particle towards mass <math>M</math>, that allegedly ''attracts'' it but in fact only changes the rate of time around itself (slowing it down).  

In the end, the apparent gravitational force of equation (2) is caused by the [[curvature of space]] and the [[time dilation]] that together cause the effects of diminishing energy of objects immobilized in curved space. When they aren't immobilized (they are left in [[free fall]]), they follow their natural positions of the greatest probability of being there in the spacetime without producing any forces. As e.g. the Moon following its natural path around the Earth moving at each point of its travel with appropriate acceleration <math>a</math> compensating changes of its total energy  as given by (1). In this way no additional energy can be created or destroyed and the law of conservation of energy is satisfied automatically for all the moving objects of the universe.  

In the end, the apparent gravitational force of equation (2) is caused by the [[curvature of space]] and the [[time dilation]] that together cause the effects of diminishing energy of objects immobilized in curved space. When they aren't immobilized (they are left in [[free fall]]), they follow their natural positions of the greatest probability of being there in the spacetime without producing any forces. As e.g. the Moon following its natural path around the Earth moving at each point of its travel with appropriate acceleration <math>a</math> compensating changes of its total energy  as given by (1). In this way no additional energy can be created or destroyed and the law of conservation of energy is satisfied automatically for all the moving objects of the universe.

===Einstein's universe===

===Einstein's universe===