Baryogenesis from Temporal Gradient Asymmetry in the Fractal-Spectral Framework
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| Natura: | Recurso digital |
| Lingua: | inglese |
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2026
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| _version_ | 1866901749098348544 |
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| author | Maréchal, Thierry |
| author_facet | Maréchal, Thierry |
| contents | <p>Why is there more matter than antimatter? The Standard Model's CP violation is insufficient by orders of magnitude. This paper explores whether the fractal-temporal framework provides the missing ingredient.</p> <p>The mechanism is built on differential temporal coupling: if matter and antimatter couple to the τ-gradient field with a small CP-violating asymmetry ε_CP (analogous to the Jarlskog invariant in the CKM matrix but in the temporal sector), the non-equilibrium conditions of the early universe's desynchronization epoch generate a net baryon asymmetry. The three Sakharov conditions are addressed: baryon number violation through the fractal phase transition's symmetry-breaking properties (conjectured, not derived — stated as the weakest point), C and CP violation through the differential coupling, and departure from thermal equilibrium naturally provided by the desynchronization epoch where different spatial regions have different effective temperatures.</p> <p>The resulting baryon asymmetry η ~ ε_CP × g₀α²M_P/(T_c) × Δ_fractal reproduces the observed value η ≈ 6 × 10⁻¹⁰ for ε_CP ~ 10⁻⁵ — consistent with loop-level CP violation (α_w²/16π²). The mechanism requires no new particles or fields beyond the framework's existing temporal structure, and the departure from equilibrium is built in rather than requiring a first-order phase transition.</p> <p>The paper provides an honest comparison with standard mechanisms (electroweak baryogenesis, leptogenesis) via a detailed table: the temporal gradient approach has fewer new ingredients (no extended Higgs, no right-handed neutrinos) but rests on a weaker foundation (conjectured B violation, free ε_CP). The mechanism is explicitly characterized as a proof of concept — showing the framework contains the ingredients for baryogenesis — not a complete theory.</p> <p>Observational tests are indirect: if the fractal-spectral framework is confirmed through other channels (CMB signatures, dark matter profiles, gravitational waves with log-periodic spectrum from the phase transition), the baryogenesis mechanism gains support. The predicted baryon asymmetry is effectively uniform (δη/η ~ 10⁻¹⁰), consistent with observations but difficult to test directly. Open problems include microscopic derivation of baryon number violation, first-principles determination of ε_CP, competition with electroweak sphalerons, and gravitational wave spectrum from the fractal phase transition.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19407512 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Baryogenesis from Temporal Gradient Asymmetry in the Fractal-Spectral Framework Maréchal, Thierry Cosmology baryogenesis matter-antimatter asymmetry CP violation Sakharov conditions temporal gradient differential coupling fractal phase transition desynchronization epoch baryon number violation fractal-spectral framework τ-field baryon-to-photon ratio proof of concept <p>Why is there more matter than antimatter? The Standard Model's CP violation is insufficient by orders of magnitude. This paper explores whether the fractal-temporal framework provides the missing ingredient.</p> <p>The mechanism is built on differential temporal coupling: if matter and antimatter couple to the τ-gradient field with a small CP-violating asymmetry ε_CP (analogous to the Jarlskog invariant in the CKM matrix but in the temporal sector), the non-equilibrium conditions of the early universe's desynchronization epoch generate a net baryon asymmetry. The three Sakharov conditions are addressed: baryon number violation through the fractal phase transition's symmetry-breaking properties (conjectured, not derived — stated as the weakest point), C and CP violation through the differential coupling, and departure from thermal equilibrium naturally provided by the desynchronization epoch where different spatial regions have different effective temperatures.</p> <p>The resulting baryon asymmetry η ~ ε_CP × g₀α²M_P/(T_c) × Δ_fractal reproduces the observed value η ≈ 6 × 10⁻¹⁰ for ε_CP ~ 10⁻⁵ — consistent with loop-level CP violation (α_w²/16π²). The mechanism requires no new particles or fields beyond the framework's existing temporal structure, and the departure from equilibrium is built in rather than requiring a first-order phase transition.</p> <p>The paper provides an honest comparison with standard mechanisms (electroweak baryogenesis, leptogenesis) via a detailed table: the temporal gradient approach has fewer new ingredients (no extended Higgs, no right-handed neutrinos) but rests on a weaker foundation (conjectured B violation, free ε_CP). The mechanism is explicitly characterized as a proof of concept — showing the framework contains the ingredients for baryogenesis — not a complete theory.</p> <p>Observational tests are indirect: if the fractal-spectral framework is confirmed through other channels (CMB signatures, dark matter profiles, gravitational waves with log-periodic spectrum from the phase transition), the baryogenesis mechanism gains support. The predicted baryon asymmetry is effectively uniform (δη/η ~ 10⁻¹⁰), consistent with observations but difficult to test directly. Open problems include microscopic derivation of baryon number violation, first-principles determination of ε_CP, competition with electroweak sphalerons, and gravitational wave spectrum from the fractal phase transition.</p> |
| title | Baryogenesis from Temporal Gradient Asymmetry in the Fractal-Spectral Framework |
| topic | Cosmology baryogenesis matter-antimatter asymmetry CP violation Sakharov conditions temporal gradient differential coupling fractal phase transition desynchronization epoch baryon number violation fractal-spectral framework τ-field baryon-to-photon ratio proof of concept |
| url | https://doi.org/10.5281/zenodo.19407512 |