Diósi–Penrose Gravitational Decoherence Times Across Mass Scales with a Density Ceiling

This paper evaluates Diósi–Penrose gravitational decoherence times from the electron to macroscopic masses and asks whether a maximum density alters the picture. The computed time is 5.665e+19 seconds for a proton displaced by its own scale, 1.097e+15 seconds for a fullerene molecule, and 1.580e+00 seconds for a dust grain of 1e-15 kilograms. The density ceiling of 9.717e+57 kilograms per cubic metre lies far above the densities of all systems tabulated, so it leaves the standard gravitational decoherence estimates unchanged. The strong mass dependence, not the ceiling, is what separates microscopic superpositions, which persist, from macroscopic ones, which localise promptly in this model. The study is simulated and computed from stated assumptions; it is not a measurement.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24145232
Primary Topic
Quantum Mechanics and Applications
Type
article
Field-Weighted Citation Impact
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article

Diósi–Penrose Gravitational Decoherence Times Across Mass Scales with a Density Ceiling

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
article

Diósi–Penrose Gravitational Decoherence Times Across Mass Scales with a Density Ceiling

William Alexander Aldred
article en

Abstract

This paper evaluates Diósi–Penrose gravitational decoherence times from the electron to macroscopic masses and asks whether a maximum density alters the picture. The computed time is 5.665e+19 seconds for a proton displaced by its own scale, 1.097e+15 seconds for a fullerene molecule, and 1.580e+00 seconds for a dust grain of 1e-15 kilograms. The density ceiling of 9.717e+57 kilograms per cubic metre lies far above the densities of all systems tabulated, so it leaves the standard gravitational decoherence estimates unchanged. The strong mass dependence, not the ceiling, is what separates microscopic superpositions, which persist, from macroscopic ones, which localise promptly in this model. The study is simulated and computed from stated assumptions; it is not a measurement.

Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
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