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Speed of Light and the "Rate of Propagation of Time"

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the Ejs xml source file for the applet.

Introduction

Proper Time Adjusted Special Relativity seems to suggest that there is such a thing as a "rate of propagation of time" along the space dimension, and that this is closely connected with the speed of light.

In a flat Galilean spacetime where the space dimension is a straight line perpendicular to the time axis, the speed of light can be considered infinite and the "rate of propagation of time" can also be considered infinite: that is, with the passage of time the whole length of the space dimension passes instantaneously from one time moment to the next.

In a curved spacetime, the speed of light is not infinite, and the rate of propagation of time is also not infinite. This suggests that the speed of light and the rate of propagation of time may be closely connected or even identical phenomena.

Please see the interactive simulation below for full treatment.


The Simulation


Remarks

The speed of light c appears to be an insurmountable velocity barrier for matter. This may be due to the fact that it represents the rate of propagation of time. We may conjecture that if this rate was greater, the speed of light would be greater also. (An interesting hypothesis to be tested would be that the speed of light itself is in fact infinite, and we only "catch up" with it with the passage of our time.)



Note

The above refer to the proper time that the Stationary Body attributes to the Moving Body, what we could call "attributed or perceived proper time". On the other hand, on the basis of this formulation, both the Stationary and the Moving Body have the same Polar Time T. In other words, they measure the same age for the universe.



See also