Time dilation distorts c in local frames



Time dilation distorts c in local frames

According to the theory of relativity, changes to the metre due to
motion (length contraction) cannot be observed in the local frame but
events are directly affected by time dilation in the local frame. This
asymmetry leads to the conclusion that the speed of light is
anisotropic.

An object in space is 300000km long and at rest. The local metre is
measured as 1 metre, a second as 1 second and c as 300000km/sec.

The object accelerates to 299999km/sec. The local metre is still
measured as 1 metre but the local second has now an effective value of
only .00258 seconds. To cover the distance of 300000km of the object
from end to end, light needs more time, in fact 387.3 of the new
seconds as against 1 second at rest. Therefore, the speed of light is
reduced to 775km/sec (300000km/387.3sec).

This example makes the assumption that time dilation is immediately and
directly applied in the local frame. The same assumption is made by the
twin paradox where the moving twin experiences time dilation in his own
frame by aging more slowly than his stationary brother. Likewise,
cosmic ray muons can outlive themselves because they are subject to
time dilation. Here again, time dilation is direct rather than being
only observed from another frame and not experienced in the local
frame.

Peter Riedt

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