World Public Library

New Relativistic Paradoxes and Open Questions

Florentin Smarandache

2013

Abstract

1.3. Oblique-Length Contraction Factor The Special Theory of Relativity asserts that all lengths in the direction of motion are contracted, while the lengths at right angles to the motion are unaffected. But it didn’t say anything about lengths at oblique angle to the motion (i.e. neither perpendicular to, nor along the motion direction), how would they behave? This is a generalization of Galilean Relativity, i.e. we consider the oblique lengths. The length contraction factor in the motion direction is: C(v) = The square root of (1 – (v squared divided by c squared )(5) Suppose we have a rectangular object with width W and length L that travels at a constant speed v with respect to an observer on Earth.

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