The Stochastic Representation of Hamiltonian Dynamics and The Quantization of Time

Details The Stochastic Representation of Hamiltonian Dynamics and The Quantization of Time The Stochastic Representation of Hamiltonian Dynamics and The Quantization of Time

2011-11-30

arxiv.org/abs/1111.7043v1

Physics

Mathematical Physics

17 pages

Scientific paper

Here it is shown that the unitary dynamics of a quantum object may be
obtained as the expectation of a counting process of object-clock interactions.
Such a stochastic process arises from the quantization of the clock, and this
is derived naturally from the matrix-algebra representation of the nilpotent
Newton-Leibniz time differential.

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