MGAT3 - Theoretical Issues in GR |
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Speaker |
Ahmad, Mushfiq |
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Talk Title |
RECIPROCAL SYMMETRY AND ITS APPLICATION IN DERIVING EINSTEIN'S POSTULATE, LORENTZ TRANSFORMATION AND CORRESPONDENCE BETWEEN RECIPROCITY AND PERIODICITY |
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Abstract |
Reciprocal Symmetric (RS) function is by definition a function which remains invariant when the argument is replaced by its reciprocal. We have observed that Lorentz transformation is Reciprocal symmetric since it remains invariant if velocities u/c etc. are replaced by their reciprocals. We have shown that RS requires that velocities must be bounded above. We have expressed distance covered by a moving body as a RS function, X(u/c,t), of velocity u and time t. RS requires that the time of travel must be an integral multiple of unit time. The distance covered is symmetric or ant-symmetric combination of two parts depending on whether the time of travel is odd or even multiple of unit time. We have also shown that reciprocal symmetry relates wave motion to particle motion by showing equivalence between periodicity of wave motion to reciprocity of particle motion. |
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