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| Format: | Recurso digital |
| Sprache: | Englisch |
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2026
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| Online-Zugang: | https://doi.org/10.5281/zenodo.20175101 |
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| _version_ | 1866902077573169152 |
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| author | Huang, Pengtai |
| author_facet | Huang, Pengtai |
| contents | <p>We propose an extremely simple and universal set of fundamental principles—the correlation<br>spectrum framework. This framework takes “existence is correlation” as its unique ontological<br>postulate, containing only four undefined terms—existent, correlation, constraint dimension, and<br>strength dimension—and imposing self-consistency as the sole constitutive constraint. A single<br>parameter λ ∈ [0,1] characterizes the global correlation strength.<br>We prove a boundary inaccessibility theorem: λ = 0 is strictly contradictory and λ = 1 is an<br>asymptotic degeneration limit, confining the domain of existence to λ ∈ (0,1). From this single<br>ontology, two structurally independent unfolding modes arise: inferential unfolding (generating<br>logical space as the foundation of mathematics) and metric unfolding (generating physical state<br>space as the foundation of physics). We establish the self-dual symmetry λ ↔ 1−λ and prove that<br>the system, under a set of coherent construct choices, converges inevitably to λ = 1/2 as the unique<br>globally asymptotically stable fixed point. At this fixed point, the constraint-strength equivalence<br>hypothesis establishes a structure-preserving correspondence between the two faces, yielding the<br>constraint-strength equivalence and providing an ontological answer to Wigner’s problem of the<br>“unreasonable effectiveness of mathematics.” We further provide the complete proof of the IMAT<br>conjecture: in the continuum limit at λ = 1/2, the inferential-face backbone category L and the<br>metric-face backbone category P are categorically equivalent, with the equivalence strictly forced<br>by the simultaneous optimality of logical-category richness and information capacity at the self-dual<br>ixed point.<br>Theframework is organized into four theoretical tiers (A–D), distinguishing meta-presuppositions<br>from tight-constraint derivations, constructive choices, and conjectural extensions. Each claim car<br>ries its proper epistemic weight, with the boundary between presupposed and derived content<br>drawn explicitly. The framework does not claim completion as a theory of everything, but rather<br>offers a highly coherent conceptual blueprint, mapping the common root of physical reality and<br>mathematical necessity. Five companion papers respectively supply the full technical construc<br>tions of the mathematical and physical unfoldings, the unified closure, the methodology, and the<br>philosophical implications.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20175101 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Emergence-Convergence Framework I: Correlation Spectrum — Fundamental Principles of the Emergence-Convergence Framework Huang, Pengtai correlation ontology; emergence-convergence; fundamental principles; self-dual crit icality; foundations of mathematics; philosophy of physics; physics-mathematics unification; infor mation ontology <p>We propose an extremely simple and universal set of fundamental principles—the correlation<br>spectrum framework. This framework takes “existence is correlation” as its unique ontological<br>postulate, containing only four undefined terms—existent, correlation, constraint dimension, and<br>strength dimension—and imposing self-consistency as the sole constitutive constraint. A single<br>parameter λ ∈ [0,1] characterizes the global correlation strength.<br>We prove a boundary inaccessibility theorem: λ = 0 is strictly contradictory and λ = 1 is an<br>asymptotic degeneration limit, confining the domain of existence to λ ∈ (0,1). From this single<br>ontology, two structurally independent unfolding modes arise: inferential unfolding (generating<br>logical space as the foundation of mathematics) and metric unfolding (generating physical state<br>space as the foundation of physics). We establish the self-dual symmetry λ ↔ 1−λ and prove that<br>the system, under a set of coherent construct choices, converges inevitably to λ = 1/2 as the unique<br>globally asymptotically stable fixed point. At this fixed point, the constraint-strength equivalence<br>hypothesis establishes a structure-preserving correspondence between the two faces, yielding the<br>constraint-strength equivalence and providing an ontological answer to Wigner’s problem of the<br>“unreasonable effectiveness of mathematics.” We further provide the complete proof of the IMAT<br>conjecture: in the continuum limit at λ = 1/2, the inferential-face backbone category L and the<br>metric-face backbone category P are categorically equivalent, with the equivalence strictly forced<br>by the simultaneous optimality of logical-category richness and information capacity at the self-dual<br>ixed point.<br>Theframework is organized into four theoretical tiers (A–D), distinguishing meta-presuppositions<br>from tight-constraint derivations, constructive choices, and conjectural extensions. Each claim car<br>ries its proper epistemic weight, with the boundary between presupposed and derived content<br>drawn explicitly. The framework does not claim completion as a theory of everything, but rather<br>offers a highly coherent conceptual blueprint, mapping the common root of physical reality and<br>mathematical necessity. Five companion papers respectively supply the full technical construc<br>tions of the mathematical and physical unfoldings, the unified closure, the methodology, and the<br>philosophical implications.</p> |
| title | Emergence-Convergence Framework I: Correlation Spectrum — Fundamental Principles of the Emergence-Convergence Framework |
| topic | correlation ontology; emergence-convergence; fundamental principles; self-dual crit icality; foundations of mathematics; philosophy of physics; physics-mathematics unification; infor mation ontology |
| url | https://doi.org/10.5281/zenodo.20175101 |