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New Theories / Re: A theory of inverted time dilation
« on: 04/06/2015 23:33:51 »If we take the equation for gravitational acceleration:
We can integrate this:
Since the term GM is a constant we can rewrite as
-GM
Then as
-GM
This can then be integrated as
-GM
This then changes the sign
So like escape velocity the direction is away from the source. Since escape velocity for a black hole is c we we can divide by this velocity to obtain the minimum velocity required to remain stationary near the horizon.
I have attached a graph of the results for an earth sized mass. The tidal forces are so strong that the effects on time are to slow it down.
Edit: Normally we would end up with where C is the constant of integration. I am assuming a value of zero for C so it vanishes.
Hi JefferyH
Ok...as I am a non-mathematician trying to transpose visualised concepts into mathematical concepts, well ...there are inherent problems to say the least
I'm recognise the mathematics, I think (scratches head )...but I'm not sure what you are relating them to. To a greater force of gravity slowing time down? To the escape velocity of mass? Or light?
I'm afraid that I'm a bit in need of a white board narrative that explains what the objective is and then walks me through the process. I'm not sure which bit of what your saying relates to which bit of what I'm saying, other than that you are calculating a strong gravity force and that a strong gravity force slows time down.
I'm not getting how the maths are deriving a stronger gravitational force as being "responsible for" or "connected to" a slowing of time rather than an increase in the rate of time.
Other than the massless photon being given relativistic mass and the fact that clocks tick faster in elevation and that this is currently attributed to the fact of the clock being located at a coordinate in a weaker gravity field, (whereas the associated mass of the clock and its relationship with the mass of the earth is not currently accounted for) ...I can see no other reasons given in physics to support the concept that a stronger gravity field slows time down. (please correct me if I'm wrong)