π/0 Primary Theory: A Unified Theoretical Framework for Cosmology
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2026
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| _version_ | 1866902093007159296 |
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| author | Løining, Per |
| author_facet | Løining, Per |
| contents | <p>A meta-theoretical framework postulating that the mathematical constant π (≈3.14159) and ontological emptiness (0) constitute the fundamental dual elements from which all physical reality arises. The central dynamical quantity is the π/0 tension—an interface between structure (π) and emptiness (0)—which provides a unified mechanistic account of cosmological phenomena including dark matter, dark energy, gravitational dynamics, the Big Bang mechanism, and inflation. The theory yields specific testable hypotheses: (1) log-periodic component in CMB power spectrum with theoretical frequency ω = 2ln(π) ≈ 2.289, and (2) structural phase transitions when Void-matter density ratios cross critical thresholds. Analysis of DESI DR2 baryon acoustic oscillation data (2025) reveals evidence for an abrupt structural transition around z ≈ 1.0, manifesting as an S-shaped residual pattern and moderately elevated Jerk parameter (j = 2.5 ± 2.8, 68% CI from bootstrap analysis vs. ΛCDM prediction j = 1). Bootstrap uncertainty quantification (10,000 resamplings) confirmed that initially reported extreme values (j ≈ 7–26) were interpolation artifacts. The S-shaped residual signature has been independently noted by Rodrigues et al. (2025) and Wang et al. (2025). Version 23-2 includes complete 8-part Appendix (A–H): Full Lagrangian derivation, Modified Friedmann equations, Perturbation theory calculations, MCMC code (Python), Energy-condition proofs, Comparative tables (ΛCDM vs π/0), Historical context, and Glossary. Updated with bootstrap methodology (Section 17.11.8), transparent discussion of post-hoc refinements, and revised statistical claims. Updated with ZTF J2130+4420 orbital decay confirmation (2.4% enhancement vs GR) and expanded analysis of Hubble tension, acoustic scale geometry, and void friction mechanisms. Through mathematical formalization (Lagrangian field theory, modified Friedmann equations, linear perturbation theory) and empirical validation scheme (MCMC analysis), the π/0 primary theory generates falsifiable predictions testable within 2026-2030 by Euclid, Roman Space Telescope, and LiteBIRD missions.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18135319 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | π/0 Primary Theory: A Unified Theoretical Framework for Cosmology Løining, Per cosmology theoretical cosmology dark matter dark energy Hubble tension cosmic microwave background (CMB) alternative cosmology modified gravity variable speed of light (VSL) emergent gravity vacuum energy void quantum physics quantum mechanics quantum entanglement Bell inequality nonlocal correlations DESI DR2 Cosmic Snap phase transitions baryon acoustic oscillations log-periodic structures falsifiable predictions Lagrangian field theory Friedmann equations ZTF J2130+4420 bootstrap analysis uncertainty quantification statistical robustness <p>A meta-theoretical framework postulating that the mathematical constant π (≈3.14159) and ontological emptiness (0) constitute the fundamental dual elements from which all physical reality arises. The central dynamical quantity is the π/0 tension—an interface between structure (π) and emptiness (0)—which provides a unified mechanistic account of cosmological phenomena including dark matter, dark energy, gravitational dynamics, the Big Bang mechanism, and inflation. The theory yields specific testable hypotheses: (1) log-periodic component in CMB power spectrum with theoretical frequency ω = 2ln(π) ≈ 2.289, and (2) structural phase transitions when Void-matter density ratios cross critical thresholds. Analysis of DESI DR2 baryon acoustic oscillation data (2025) reveals evidence for an abrupt structural transition around z ≈ 1.0, manifesting as an S-shaped residual pattern and moderately elevated Jerk parameter (j = 2.5 ± 2.8, 68% CI from bootstrap analysis vs. ΛCDM prediction j = 1). Bootstrap uncertainty quantification (10,000 resamplings) confirmed that initially reported extreme values (j ≈ 7–26) were interpolation artifacts. The S-shaped residual signature has been independently noted by Rodrigues et al. (2025) and Wang et al. (2025). Version 23-2 includes complete 8-part Appendix (A–H): Full Lagrangian derivation, Modified Friedmann equations, Perturbation theory calculations, MCMC code (Python), Energy-condition proofs, Comparative tables (ΛCDM vs π/0), Historical context, and Glossary. Updated with bootstrap methodology (Section 17.11.8), transparent discussion of post-hoc refinements, and revised statistical claims. Updated with ZTF J2130+4420 orbital decay confirmation (2.4% enhancement vs GR) and expanded analysis of Hubble tension, acoustic scale geometry, and void friction mechanisms. Through mathematical formalization (Lagrangian field theory, modified Friedmann equations, linear perturbation theory) and empirical validation scheme (MCMC analysis), the π/0 primary theory generates falsifiable predictions testable within 2026-2030 by Euclid, Roman Space Telescope, and LiteBIRD missions.</p> |
| title | π/0 Primary Theory: A Unified Theoretical Framework for Cosmology |
| topic | cosmology theoretical cosmology dark matter dark energy Hubble tension cosmic microwave background (CMB) alternative cosmology modified gravity variable speed of light (VSL) emergent gravity vacuum energy void quantum physics quantum mechanics quantum entanglement Bell inequality nonlocal correlations DESI DR2 Cosmic Snap phase transitions baryon acoustic oscillations log-periodic structures falsifiable predictions Lagrangian field theory Friedmann equations ZTF J2130+4420 bootstrap analysis uncertainty quantification statistical robustness |
| url | https://doi.org/10.5281/zenodo.18135319 |