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2026
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| Online Access: | https://doi.org/10.5281/zenodo.20338802 |
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| _version_ | 1866902008532828160 |
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| author | Jensen, Kenneth |
| author_facet | Jensen, Kenneth |
| contents | <p class="AbstractTitle"><span>Abstract</span></p> <p><span>This paper develops a formal framework for emergence in mass-diverse FIA systems. A primitive FIA unit is represented only by a positive mass scale, </span><span></span><span>, so the expression </span><span></span><span><span> </span>is treated as a rest-energy rewriting of the primitive descriptor rather than as an emergent property. The paper argues that mass diversity first produces comparative mismatch, </span><span></span><span>, and that stronger emergence requires a constitutive relation rule converting mismatch into relational structure, </span><span></span><span>. For mismatch-suppressed relation rules, the weighted spectral gap </span><span></span><span><span> </span>is nonincreasing in the mismatch-sensitivity parameter. For the exponential kernel, a perturbative expansion gives </span><span></span><span>, where </span><span></span><span><span> </span>measures the exposure of the slow mode to mass mismatch. This shows that global spectral response is controlled not by mass diversity alone, but by the placement of mismatch relative to relational structure. A worked example demonstrates that two hobs with the same mass diversity can exhibit different mismatch exposure and therefore different first-order spectral weakening. Mass–energy equivalence is treated only as a conditional consistency test: it can be recovered at hob level if stable conservative modes generate Lorentz-type dispersion with a universal velocity scale. The central conclusion is that FIA emergence begins when microscopic mismatch becomes relation-positioned spectral response</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20338802 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Emergence in a Mass-Diverse FIA World: From Microscopic Mismatch to Spectral Response Jensen, Kenneth <p class="AbstractTitle"><span>Abstract</span></p> <p><span>This paper develops a formal framework for emergence in mass-diverse FIA systems. A primitive FIA unit is represented only by a positive mass scale, </span><span></span><span>, so the expression </span><span></span><span><span> </span>is treated as a rest-energy rewriting of the primitive descriptor rather than as an emergent property. The paper argues that mass diversity first produces comparative mismatch, </span><span></span><span>, and that stronger emergence requires a constitutive relation rule converting mismatch into relational structure, </span><span></span><span>. For mismatch-suppressed relation rules, the weighted spectral gap </span><span></span><span><span> </span>is nonincreasing in the mismatch-sensitivity parameter. For the exponential kernel, a perturbative expansion gives </span><span></span><span>, where </span><span></span><span><span> </span>measures the exposure of the slow mode to mass mismatch. This shows that global spectral response is controlled not by mass diversity alone, but by the placement of mismatch relative to relational structure. A worked example demonstrates that two hobs with the same mass diversity can exhibit different mismatch exposure and therefore different first-order spectral weakening. Mass–energy equivalence is treated only as a conditional consistency test: it can be recovered at hob level if stable conservative modes generate Lorentz-type dispersion with a universal velocity scale. The central conclusion is that FIA emergence begins when microscopic mismatch becomes relation-positioned spectral response</span></p> |
| title | Emergence in a Mass-Diverse FIA World: From Microscopic Mismatch to Spectral Response |
| url | https://doi.org/10.5281/zenodo.20338802 |