A Fundamental Distinguishability Threshold from Consistency
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2026
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| _version_ | 1866902205030727680 |
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| author | Haskins, Diana |
| author_facet | Haskins, Diana |
| contents | <p>This work shows that a fundamental limit to distinguishability is not an assumption, but a necessary consequence of consistency.</p> <p>Within a constraint-first framework, we derive the existence and uniqueness of a minimal threshold below which distinctions do not define independent structure. This threshold emerges from the requirement that macrostates remain well-defined under coarse-graining, without invoking geometry, spacetime, or external scales.</p> <p>The result provides a non-geometric foundation for the emergence of structure, establishing a minimal distinguishability threshold as a prerequisite for any physical description.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19887328 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Fundamental Distinguishability Threshold from Consistency Haskins, Diana fundamental length scale distinguishability coarse-graining emergent structure foundations of physics quantum gravity <p>This work shows that a fundamental limit to distinguishability is not an assumption, but a necessary consequence of consistency.</p> <p>Within a constraint-first framework, we derive the existence and uniqueness of a minimal threshold below which distinctions do not define independent structure. This threshold emerges from the requirement that macrostates remain well-defined under coarse-graining, without invoking geometry, spacetime, or external scales.</p> <p>The result provides a non-geometric foundation for the emergence of structure, establishing a minimal distinguishability threshold as a prerequisite for any physical description.</p> |
| title | A Fundamental Distinguishability Threshold from Consistency |
| topic | fundamental length scale distinguishability coarse-graining emergent structure foundations of physics quantum gravity |
| url | https://doi.org/10.5281/zenodo.19887328 |