K-Essence Scalar Field Theory of Galactic Dynamics with a Fibonacci Mass Spectrum from Unitarity (Pub1 v2)

Version 2 of Paper I of the Universal Compression Theory (UCT) series. Initial deposit (v1) was made 14 March 2026 at DOI 10.5281/zenodo.18924129. This v2 deposit makes the following updates:(1) Bibliography updated with deposited DOIs for Paper II (10.5281/zenodo.20413662, 27 May 2026) and Paper III (10.5281/zenodo.20413772, 27 May 2026), replacing the 'in preparation' designators of v1.(2) Naming footnote added explaining the framework was introduced in v1 as 'Unnamed Candidate Theory (UCT)' and is subsequently referred to as 'Universal Compression Theory' in companion papers reflecting the Schur-orthogonality / Peter-Weyl projection structure (the Compression-Interface Theorem) that organises the framework's predictions. Both names refer to the same X^(3/2) K-essence scalar field theory.(3) New Addendum: Empirical Status Since Initial Deposit (Sec. added before Bibliography) summarising: cosmological sector developed in Paper II; UV completion in Paper III; Bullet Cluster lensing-gas offset reproduction (manuscript in preparation, OJA submission); cosmological N-body validation of the σ_8/S_8 tension resolution (S_8 = 0.784, 1σ from KiDS-1000); quantum-hardware certification of (Z_2)^3 at d=3 on IBM Fez (Stage 3c DOI 10.5281/zenodo.20404813); and the (d²-1)/d² structural noise law confirmed on 370 IBM Heron pairs at 9.71σ. None of the nine falsification criteria from v1 have been falsified by data accumulated between 14 March and 27 May 2026.(4) GitHub URL https://github.com/wavarr/uct-paper for the reproducibility package is now live (was private at v1 deposit).What is NOT changed from v1: the framework, the X^(3/2) Lagrangian, the Fibonacci mass spectrum derivation, the four predictions (a_0, α_S, λ_φ, n), the SPARC 104/171 test result (median χ²_red 3.11 vs 3.39 for empirical MOND, p = 2.35×10⁻⁶), the nine falsification criteria, the timescale hierarchy derivation, and all theorems and propositions. The v2 changes are bibliographic and an addendum; the manuscript body's claims and derivations are identical to v1.Files:paper_pub_i.tex — RevTeX 4-2 source v2 (SHA-256: 85822d806a8e3abb9c0259bc35a40f14593c7fd878cfd24a6a75e9f000dfa169, 173288 bytes)paper_pub_i.pdf — compiled manuscript v2 (SHA-256: bc293f2de6d9aea5e58be83552c32db94017109e139976a34f4874738b142377, 5173172 bytes)Reproducibility: https://github.com/wavarr/uct-paper (now public). Analysis scripts for the SPARC test and figure generation are in that repository.Lineage: new version of 10.5281/zenodo.18924129. Companions: Paper II v2 (10.5281/zenodo.20418809, supersedes v1 10.5281/zenodo.20413662), Paper III (10.5281/zenodo.20413772), Bullet Cluster (in preparation), N-body σ_8/S_8 validation (in preparation), Compression-Interface master paper (in preparation), Stage 3c quantum-hardware certification (10.5281/zenodo.20404813).

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Publication Details

Journal
Open MIND
Published
2026-05-27
DOI
https://doi.org/10.5281/zenodo.18924128
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

K-Essence Scalar Field Theory of Galactic Dynamics with a Fibonacci Mass Spectrum from Unitarity (Pub1 v2)

Gabriel Steiger
Open MIND
Cosmology and Gravitation Theories
preprint

K-Essence Scalar Field Theory of Galactic Dynamics with a Fibonacci Mass Spectrum from Unitarity (Pub1 v2)

Gabriel Steiger
preprint en

Abstract

Version 2 of Paper I of the Universal Compression Theory (UCT) series. Initial deposit (v1) was made 14 March 2026 at DOI 10.5281/zenodo.18924129. This v2 deposit makes the following updates:(1) Bibliography updated with deposited DOIs for Paper II (10.5281/zenodo.20413662, 27 May 2026) and Paper III (10.5281/zenodo.20413772, 27 May 2026), replacing the 'in preparation' designators of v1.(2) Naming footnote added explaining the framework was introduced in v1 as 'Unnamed Candidate Theory (UCT)' and is subsequently referred to as 'Universal Compression Theory' in companion papers reflecting the Schur-orthogonality / Peter-Weyl projection structure (the Compression-Interface Theorem) that organises the framework's predictions. Both names refer to the same X^(3/2) K-essence scalar field theory.(3) New Addendum: Empirical Status Since Initial Deposit (Sec. added before Bibliography) summarising: cosmological sector developed in Paper II; UV completion in Paper III; Bullet Cluster lensing-gas offset reproduction (manuscript in preparation, OJA submission); cosmological N-body validation of the σ_8/S_8 tension resolution (S_8 = 0.784, 1σ from KiDS-1000); quantum-hardware certification of (Z_2)^3 at d=3 on IBM Fez (Stage 3c DOI 10.5281/zenodo.20404813); and the (d²-1)/d² structural noise law confirmed on 370 IBM Heron pairs at 9.71σ. None of the nine falsification criteria from v1 have been falsified by data accumulated between 14 March and 27 May 2026.(4) GitHub URL https://github.com/wavarr/uct-paper for the reproducibility package is now live (was private at v1 deposit).What is NOT changed from v1: the framework, the X^(3/2) Lagrangian, the Fibonacci mass spectrum derivation, the four predictions (a_0, α_S, λ_φ, n), the SPARC 104/171 test result (median χ²_red 3.11 vs 3.39 for empirical MOND, p = 2.35×10⁻⁶), the nine falsification criteria, the timescale hierarchy derivation, and all theorems and propositions. The v2 changes are bibliographic and an addendum; the manuscript body's claims and derivations are identical to v1.Files:paper_pub_i.tex — RevTeX 4-2 source v2 (SHA-256: 85822d806a8e3abb9c0259bc35a40f14593c7fd878cfd24a6a75e9f000dfa169, 173288 bytes)paper_pub_i.pdf — compiled manuscript v2 (SHA-256: bc293f2de6d9aea5e58be83552c32db94017109e139976a34f4874738b142377, 5173172 bytes)Reproducibility: https://github.com/wavarr/uct-paper (now public). Analysis scripts for the SPARC test and figure generation are in that repository.Lineage: new version of 10.5281/zenodo.18924129. Companions: Paper II v2 (10.5281/zenodo.20418809, supersedes v1 10.5281/zenodo.20413662), Paper III (10.5281/zenodo.20413772), Bullet Cluster (in preparation), N-body σ_8/S_8 validation (in preparation), Compression-Interface master paper (in preparation), Stage 3c quantum-hardware certification (10.5281/zenodo.20404813).

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