Some Consequences of a Generalization to Heisenberg Algebra in Quantum Electrodynamics

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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Awarded with an Honorable Mention in the 2003 Essay Competition by the Gravity Research Foundation

Scientific paper

10.1142/S0218271803004341

In this essay it will be shown that the introduction of a modification to Heisenberg algebra (here this feature means the existence of a minimal obserlvable length), as a fundamental part of the quantization process of the electrodynamical field, renders states in which the uncertainties in the two quadrature components violate the usual Heisenberg uncertainty relation. Hence in this context it may be asserted that any physically realistic generalization of the uncertainty principle must include, not only a minimal observable length, but also a minimal observable momentum.

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