Quantum Self-Verification Geometry (QSVG) - Collection of Five Foundational Papers

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Authors: Luis Morató de Dalmases
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Abstract

Collection of Foundational QSVG Papers Author: Luis Morató de Dalmases, CronNet Holo InitiativeDate: February 2026 This collection comprises the nine documents that form the foundation of Quantum Self-Verifying Geometry (QSVG) . 📚 Recommended Reading Order The nine documents form a complete logical progression, from fundamental theory to observational predictions and micro-scale demonstrations. They should be read in the following sequence: 1️⃣ Basic Geometry and Invariants [0. 6.8-Angle_Hyperbolic-Tessellation.pdf]: Derives the fundamental defect angle δ₀ = 6.8° from the geometry of the {3,3,5} honeycomb in hyperbolic space. [1. Connection_Defect-Angle_Fractal-Dimension_QSVG.pdf]: Establishes the mathematical connection between the defect angle δ₀ = 6.8° and the fractal dimension D = 1.9206 of the Coxeter group. 2️⃣ Foundational Cosmological Theory [2. Geometric Relation_Speed-Light_Cosmic-Expansion.pdf]: Derives the fundamental relation between the speed of light and cosmic expansion, establishing H₀dH/c = 3.2 as a geometric invariant. [3. Complete-Derivation_Geometric-Factor G_(SVG).pdf]: Provides the rigorous path integral calculation of the geometric factor G ≈ 0.31, connecting the microscopic honeycomb to macroscopic expansion. 3️⃣ Theory of Matter and Unification [8. Geometric-Foundations_Matter.pdf]: Presents the unified formulation of the generation of matter, deriving the 37 topological generators that lead to the upper limit Z_max = 118 of the periodic table. [5. Primordial Gravitational Waves_QSVG.pdf]: Provides the topological foundation, identifying the Conway Knot (11n34) as the primordial template connecting to knot theory and the Riemann Hypothesis. [9. Geometric-Derivation_Matter-Antimatter-Asymmetry.pdf]: Geometrically derives the CKM matrix and CP violation from δ₀ = 6.8° and D, explaining the matter-antimatter asymmetry. 4️⃣ Astrophysical and Observational Predictions [4. Galaxy-Spin_Tetrahedral-Geometry-Torsion.pdf]: Derives the helicity bias in galaxy spins from the torsion field induced by δ₀ = 6.8°. [6. Tetrahedral 4-Point_Correlation-Function_QSVG.pdf]: Calculates the amplitude of the parity-odd 4-point correlation function A_odd = 2.5 × 10⁻⁶, matching the observations by Philcox et al. (2022). 5️⃣ Technical Appendix: Micro-scale Demonstrations [7. Micro-Scale_Demonstrations_SVG.pdf]: Provides detailed demonstrations for small-scale phenomena (area quantization, absence of singularities, neutrino mass, Lorentz violation) and a complete observational status (February 2026). 📝 Abstract Title: Quantum Self-Verification Geometry (QSVG): A Complete Collection of Foundational Papers This collection presents nine foundational papers developing Quantum Self-Verifying Geometry (QSVG) , a discrete theory of spacetime based on a regular tetrahedral honeycomb in hyperbolic space with an intrinsic angular defect δ₀ = 6.8°. The papers, read in sequence, provide: Geometric Foundation: Derivation of the defect angle δ₀ = 6.8° and the fractal dimension D = 1.9206 of the Coxeter group [3,3,5], establishing the connection between these two fundamental invariants. Cosmological Theory: Development of the relation between δ₀ = 6.8° and cosmic expansion, obtaining H₀dH/c = 3.2 as a geometric invariant through a rigorous path integral calculation yielding the factor G ≈ 0.31. Topological and Matter Unification: Identification of the Conway Knot (11n34) as the primordial template, connecting tetrahedral geometry with knot theory, the Riemann Hypothesis, and predictions for primordial gravitational waves (r = 0.03). Derivation of matter structure from the cohomology of the fundamental group, explaining the 118 elements of the periodic table and the matter-antimatter asymmetry via the CKM matrix. Confirmed Astrophysical Predictions: Calculation of the helicity bias in galaxy spins (A_dipole ≈ 0.05–0.15), confirmed by multiple studies, and derivation of the parity-odd 4-point correlation function amplitude (A_odd = 2.5 × 10⁻⁶), matching observations by Philcox et al. (2022) at 3.4σ. Micro-scale Demonstrations: Proofs of area quantization, the absence of singularities (Planck stars), and the generation of neutrino masses at the meV scale, alongside a complete status of current observations. All predictions derive from a single free parameter (δ₀ = 6.8°) and are consistent with all current observational data. The theoretical framework will face definitive tests with LiteBIRD (2027), Euclid, and DESI. Keywords: Quantum gravity, discrete spacetime, tetrahedral honeycomb, angular defect, torsion, Einstein-Cartan theory, galaxy spin alignment, cosmic microwave background, primordial gravitational waves, tensor-to-scalar ratio, parity violation, 4-point correlation function, Conway knot, knot theory, Riemann hypothesis, cosmological constant, neutrino mass, Planck stars, Lorentz violation.

Fields of Study & Subjects

Relativity and Gravitational Theory Advanced Mathematical Theories and Applications Noncommutative and Quantum Gravity Theories

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
27 February 2026
Language
EN
Document type
Preprint