Telegraph Equations and Complementary Dirac Equation from Brownian Movement


Telegraph equations describing the particle densities in Brownian movement on a lattice site have been derived and it has been shown that the complementary classical Dirac equation appears naturally as the consequence of correlations in particle trajectories in Brownian movement. It has also been demonstrated that Heisenberg uncertainty relation between energy and time is the necessary and sufficient condition to transform this classical equation into usual Dirac’s relativistic quantum equation.

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B. Rajput, "Telegraph Equations and Complementary Dirac Equation from Brownian Movement," Journal of Modern Physics, Vol. 3 No. 9, 2012, pp. 989-993. doi: 10.4236/jmp.2012.39128.

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The authors declare no conflicts of interest.


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