## A Derivation of the Quantum Phase

**Authors:** Armin Nikkhah Shirazi

The quantum phase has profound effects on quantum mechanics but its physical origin is currently
unexplained. This paper derives its general form from two physical axioms: 1) in the limit in which space
goes to zero, spacetime reduces to a constant quantity of areatime, and 2) the proper time dimensions
of areatime and of spacetime are orthogonal but can be compared to each other according to what will
here be called an angular dual bilateral symmetry. The mathematical derivation and the explanation of
the physical origin of the quantum phase from these two axioms is straightforward and implies that the
quantum phase is intimately related to the quantization of spacetime.

**Comments:** 9 pages

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### Submission history

[v1] 7 Oct 2011

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