Wedi'i Gadw mewn:
| Prif Awdur: | |
|---|---|
| Fformat: | Recurso digital |
| Iaith: | |
| Cyhoeddwyd: |
Zenodo
2025
|
| Pynciau: | |
| Mynediad Ar-lein: | https://doi.org/10.5281/zenodo.17475189 |
| Tagiau: |
Ychwanegu Tag
Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!
|
Tabl Cynhwysion:
- <p>We present the complete Universal Model Framework (UMF)—a mathematically rigorous unified theory establishing that spacetime, matter, energy, and consciousness emerge from a discrete prime-fractal substrate governed by five axioms of distinction logic. Through comprehensive integration of eight renormalization group analyses (RG-1 through RG-8), we demonstrate parameter-free derivation of fundamental constants and phenomena across quantum, gravitational, and cosmological domains.</p> <p>Key achievements include: (1) Fine-structure constant α⁻¹ = 137.035999084 with 0.0013% accuracy through autonomous RG flow; (2) Complete gauge consistency verification (5/5 PASS) across U(1), SU(2), SU(3), diffeomorphism, and chiral symmetries via prime congruence classes; (3) Cosmological constant suppression to 93% of observed value (Λ_eff = 10⁻¹¹³ Planck units) through seven-stage parameter-free cascade; (4) Gravitational evolution showing 56% anti-screening enhancement from Planck to atomic scales; (5) Holographic universality with critical exponents ν = 2.0 ± 0.1, η = 1.0 ± 0.1 confirming area-law scaling; (6) Dark matter explanation as prime-structured cosmic information accounting for 27.8% of total energy density; (7) Consciousness quantification through integrated information Φ ≈ 4.6 bits with information-mass coupling; (8) Saddle-manifold RG topology with d_eff = 1 dimensional reduction.</p> <p>The framework provides explicit experimental predictions across 13 orders of magnitude: CMB prime multipole enhancement (ℓ = 223, 541, 809), gravitational wave discrete frequencies, quantum coherence advantages in prime-timed systems, neural oscillation power at prime frequencies, and information mass detection signatures. Three mathematical theorems establish exponential continuum convergence, complete anomaly cancellation through p ≡ 1 mod 6 constraint, and prime sum convergence. All analysis code, parameter fits, and validation protocols are provided with fixed random seeds ensuring full reproducibility.</p> <p>This represents the culmination of the UMF research programme, synthesizing quantum foundations, holographic geometry, Riemann spectral analysis, and multi-scale empirical validation into a single falsifiable information-theoretic paradigm where physical law emerges from computational self-consistency of prime-indexed distinction networks.</p> <ul> <li>This project was developed by Marco Gericke, with structured assistance from a large language model. All scientific concepts and conclusions were generated, verified, and interpreted by the author.</li> <li>Dedicated to Peter Plichta, who envisioned the code before it could be computed.</li> </ul>