Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On the Thermodynamic Origin of the Uncertainty Principle

Version 1 : Received: 27 October 2020 / Approved: 27 October 2020 / Online: 27 October 2020 (20:25:19 CET)

How to cite: Yablon, J.R. On the Thermodynamic Origin of the Uncertainty Principle. Preprints 2020, 2020100562 (doi: 10.20944/preprints202010.0562.v1). Yablon, J.R. On the Thermodynamic Origin of the Uncertainty Principle. Preprints 2020, 2020100562 (doi: 10.20944/preprints202010.0562.v1).

Abstract

The spatial resolution measurement limitation of the position-momentum uncertainty principle is shown to mathematically originate from the Bekenstein entropy bound and the associated second law of thermodynamics, as a special case in which a statistical thermodynamic distribution of energies is specialized to a fixed, definite probe energy equal to the average energy of that distribution. This is used in combination with the Wein displacement law to predict an ultraviolet cutoff for Planck blackbody radiation at about ⅛ of the Wein peak. A new UV photon counting experiment is proposed to test for this. A physical understanding of these results may be provided by a UV-complete, intelligible theory of general relativistic quantum mechanics in which the observation of a blackbody spectrum is simply a remote observation of Hawking radiation emitted from black hole fluctuations in the gravitational vacuum.

Subject Areas

entropy; statistical thermodynamics; uncertainty principle; Bekenstein bound; Hawking radiation; blackbody radiation; Wein displacement law; black holes; second law of thermodynamics; general relativity and quantum mechanics unification

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