Dear Sirs,
Could anybody help to solve the following task?
Let us have two different inertial masses, say different in 2 times. Point masses are good also. Each of them is pulled by a string (constant force). To solve the problem we should use Einstein equations as every inertial mass possesses a kinetic energy and therefore curve space-time around itself. Did we receive the accelerations of each body which differs in 2 times? So maybe here we get a contradiction in GR?
Dear Anatoly,
I collected here some references about the kinetics of bodies due to gravitational acceleration.
https://www.researchgate.net/post/Is_a_free_falling_body_under_the_influence_of_gravitation_well_modelled_by_the_current_theories_of_gravitation
Dear Anatoly,
In my work, acceleration, gravity and Einstein's field equations are well related. Although you take it with caution, since it is not yet an accepted theory
Thank you very much
I badly explained my question. I mean the following task. A spring pulls some mass. The mass here is inertial one but according Einstein will curve space-time. The question is in that whether this curvature explains the body inertia (resistance to the velocity change) or NOT?
Dear Anatoly,
According to my work, if the universe is a hypersphere in which its hyper-surface are our usual 3 dimensions. Any speed in any of those dimensions will follow a geodesic circle and will have a force and acceleration centrifuged through a 4 dimension that acts as hyper-radius.
Now if in our 3 usual dimensions we have an acceleration, that acceleration will be added to the centrifugal acceleration, so the movement through that 4 dimension, that hyper-radius, will now be curved and will also curve our 3 dimensions "denting" the hypersphere
And if an acceleration causes curvature, then a curvature (given by a mass-energy) will cause an acceleration. That is the gravity
So what does the equivalence principle mean? Can we in the above task receive the different proportionality constant (between inertial and gravitational masses) for different bodies?
If an acceleration curves the space-time (space-zoom in my theory) is indistinguishable from gravity, the principle of equivalence is met
Dear Sirs,
Could anybody help to solve the following task?
Let us have two different inertial masses, say different in 2 times. Point masses are good also. Each of them is pulled by a string (constant force). To solve the problem we should use Einstein equations as every inertial mass possesses a kinetic energy and therefore curve space-time around itself. Did we receive the accelerations of each body which differs in 2 times? So maybe here we get a contradiction in GR?
Dear Anatoly
It is a litle hard to understand your question. It seems you have two point masses which are put under the same conditions at two different instants of time, then you ask why they have different accelarions. How can they show different accelerations under the same experimental conditions?
Dear Anatoly A Khripov ,
According to the 'strong' equivalence principle, the gravitational binding energy of a body contributes to its mass, hence to its inertia. Therefore I would tend to answer (a partial) yes to your question. Part of the inertia of the body is due to its own gravitational field. But it certainly calls for more reflexion. I find it a very interesting question.
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