# Canonical Invariance as a unifying symmetry of nature: derivation of the coordinate-momentum commutation relation, the time-dependent Schroedinger equation, and Maxwell equations.

Abstract:

We show that the coordinate-momentum commutation relations and the relativistic and non-relativistic quantum dynamical equations can all be derived from the classical principle of Canonical Invariance and the linearity of the correspondence between physical observables and quantum operators.  The implications of this derivation to accelerating quantum relativistic systems, the third law of thermodynamics, and what may be viewed as the "beginning of time" are discussed.

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