π/0 Primary Theory: A Unified Theoretical Framework for Cosmology

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Main Author: Løining, Per
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Language:English
Published: Zenodo 2026
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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.</p> <p>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).</p> <p>Version 23-9 introduces a refined treatment of the speed of light as an emergent property governed by a dynamic vacuum refractive index n(φ), following Einstein (1911) and Dicke (1957). A chameleon-like screening mechanism ensures c remains constant to within 10⁻¹⁵ locally (satisfying GPS and Solar System tests) while allowing cosmological variations. The extended energy-mass relation provides a physical interpretation mathematically equivalent to GR in high-density regimes. Includes tentative evidence from ZTF J2130+4420 orbital decay (potential 2.4% excess, interpreted as consistency check for Void Friction) and expanded analysis of Hubble tension, acoustic scale geometry, and void friction mechanisms.</p> <p>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>
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language eng
publishDate 2026
publisher Zenodo
record_format zenodo
spellingShingle π/0 Primary Theory: A Unified Theoretical Framework for Cosmology
Løining, Per
cosmology
dark matter
dark energy
Hubble tension
cosmic microwave background (CMB)
variable speed of light (VSL)
DESI DR2
Cosmic Snap
baryon acoustic oscillations
falsifiable predictions
bootstrap analysis
screening mechanism
refractive index
optical equivalence principle
pi-zero theory
cosmological jerk parameter
S-shaped residuals
matter-antimatter asymmetry
<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.</p> <p>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).</p> <p>Version 23-9 introduces a refined treatment of the speed of light as an emergent property governed by a dynamic vacuum refractive index n(φ), following Einstein (1911) and Dicke (1957). A chameleon-like screening mechanism ensures c remains constant to within 10⁻¹⁵ locally (satisfying GPS and Solar System tests) while allowing cosmological variations. The extended energy-mass relation provides a physical interpretation mathematically equivalent to GR in high-density regimes. Includes tentative evidence from ZTF J2130+4420 orbital decay (potential 2.4% excess, interpreted as consistency check for Void Friction) and expanded analysis of Hubble tension, acoustic scale geometry, and void friction mechanisms.</p> <p>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
dark matter
dark energy
Hubble tension
cosmic microwave background (CMB)
variable speed of light (VSL)
DESI DR2
Cosmic Snap
baryon acoustic oscillations
falsifiable predictions
bootstrap analysis
screening mechanism
refractive index
optical equivalence principle
pi-zero theory
cosmological jerk parameter
S-shaped residuals
matter-antimatter asymmetry
url https://doi.org/10.5281/zenodo.18147780