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| Format: | Recurso digital |
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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.17606424 |
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Table of Contents:
- <div>Human mathematical physics has historically grown as an “axiomatized + visual” enterprise:</div> <div>Euclidean geometry, fields on manifolds and diagrammatic reasoning anchor our most refined</div> <div>theories. Yet plausible non-human intelligences need not be visual at all. One may imagine civi</div> <div>lizations whose dominant sensory and cognitive primitives are vibrational (hearing), mechanical</div> <div>(touch and force), chemical (smell), magnetoreceptive (field direction and flux), vestibular (ac</div> <div>celeration and balance), or even purely causal (event flow, with time preceding space).</div> <div>In this article we introduce the notion of an Axiomatized Perception System (APS): an ax</div> <div>iomatic core built on the primitive relations supplied by a chosen modality. We construct seven</div> <div>archetypal APSs—vision, vibration, mechanics/touch, magnetoreception, high-dimensional chem</div> <div>ical mixture, vestibular acceleration and event-flow causality—and treat each as a candidate</div> <div>starting point for a fundamental physical theory. We then ask a structural question: if all such</div> <div>APSs are required to describe one and the same universe, what minimal mathematical core must</div> <div>they share in the limit of maximal mutual consistency and compression?</div> <div>We argue that the intersection of these APSs singles out a spectral–causal–audit structure</div> <div>closely resembling the PAC–µ 8 framework: a positive self-adjoint generator K on a Hilbert-like</div> <div>space with H = ℏ √ K; a causal cone structure with a monotone “stopping entropy” func</div> <div>tional Sbstop defining an arrow of time; a holonomy–curvature resource inequality constraining</div> <div>allowed evolutions; and a compression/MDL layer that identifies modality-independent equiva</div> <div>lence classes of theories. In this sense, PAC–µ 8 can be understood as a modality-agnostic core</div> <div>of physics, reachable from radically different perceptual axiomatizations once they are required</div> <div>to describe the same reality under strict compression and audit constraints.</div>