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2025
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| Online Access: | https://doi.org/10.5281/zenodo.15871800 |
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| _version_ | 1866902118096437248 |
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| author | Van Meter, Stephen |
| author_facet | Van Meter, Stephen |
| contents | <p>We propose an extension of the Heisenberg Uncertainty Principle (HUP) in which</p> <p>temporal resolution (∆t) appears explicitly as a third uncertainty component alongside</p> <p>position and momentum. This Extended Heisenberg Uncertainty Principle (EHUP)</p> <p>defines a tripartite relation:</p> <p>∆x·∆p= K·∆t</p> <p>where K is a fundamental constant with dimensions of energy. We identify K= m0c2</p> <p>,</p> <p>and derive the fundamental unit mass m0 as exactly half the Planck mass, connecting</p> <p>this relation to quantum gravity limits. This formulation implies that a minimum time</p> <p>resolution sets fundamental limits on position-momentum precision, with implications</p> <p>for spacetime quantization, relativistic computation, and gravitational field coupling.</p> <p>We further present falsifiability criteria and explore experimental consequences.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15871800 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Extended Heisenberg Uncertainty Principle: Temporal Resolution as a Quantum Conjugate Van Meter, Stephen <p>We propose an extension of the Heisenberg Uncertainty Principle (HUP) in which</p> <p>temporal resolution (∆t) appears explicitly as a third uncertainty component alongside</p> <p>position and momentum. This Extended Heisenberg Uncertainty Principle (EHUP)</p> <p>defines a tripartite relation:</p> <p>∆x·∆p= K·∆t</p> <p>where K is a fundamental constant with dimensions of energy. We identify K= m0c2</p> <p>,</p> <p>and derive the fundamental unit mass m0 as exactly half the Planck mass, connecting</p> <p>this relation to quantum gravity limits. This formulation implies that a minimum time</p> <p>resolution sets fundamental limits on position-momentum precision, with implications</p> <p>for spacetime quantization, relativistic computation, and gravitational field coupling.</p> <p>We further present falsifiability criteria and explore experimental consequences.</p> |
| title | The Extended Heisenberg Uncertainty Principle: Temporal Resolution as a Quantum Conjugate |
| url | https://doi.org/10.5281/zenodo.15871800 |