Paper XXXIX: Soliton Cosmology — From Reheating to Recombination
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| author | Novickis, Alexander |
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| contents | <p><strong>Title:</strong> Paper XXXIX: Soliton Cosmology — From Reheating to Recombination</p> <p><strong>Author:</strong> Alexander Novickis (alex.novickis@gmail.com)</p> <p>The topological soliton framework provides natural mechanisms for each major epoch of cosmological history, yet these mechanisms have been developed in separate papers with limited cross-checking of mutual consistency. This paper synthesizes the cosmological results from Papers VI (dark matter), IX (baryogenesis), XI (dark energy), XXII (inflation), XXIII (gravitational waves), XXIV (Kibble-Zurek production), LXIV (cyclic cosmology), LXVII (vacuum condensate dark matter), and LXVIII (gravitational constant) into a unified timeline from inflation through recombination, late-time acceleration, and the speculative far future. We construct the master chronology: inflation is driven by the Hopf vacuum phase transition with derived effective potential $V(\psi) = V_0(1 - e^{-\sqrt{2/3}\,\psi/M_P})^{2\beta}$ from the $O(3)$ Heisenberg universality class and $S^3$ KK kinetic term (Paper_XXII_Inflation|Paper XXII Section 8), yielding $n_s = 0.967$ and $r = 0.003$; reheating populates the soliton spectrum via the Kibble-Zurek mechanism with $O(3)$ critical exponents ($\nu = 0.7112$, $z = 2.0$, $\sigma_\text{KZ} = 0.881$); baryogenesis proceeds through CP-violating nucleation at $T \sim$ MeV; dark matter arises as the knotting sector of the topological vacuum condensate, predicting $\rho_\text{DM}/\rho_\Lambda = 3/8 = 0.375$ (observed: 0.387, 3.2% match) with zero free parameters; BBN proceeds with $\Delta N_\text{eff} = 0.042$ per dark species; the CMB is consistent with standard $\Lambda$CDM using the soliton-derived cosmological constant ($\rho_\Lambda$ within 1.4% of observed, though with large systematic uncertainties). The gravitational constant $G = (17/13)\alpha^{21}\hbar c/m_e^2$ (0.12% accuracy, Paper LXVIII) eliminates $M_P$ as an independent parameter. Under the vacuum condensate dark matter picture, the effective parameter count is reduced to ~4 ($\varepsilon_h$, $H_0$, $\tau$, $A_s$) vs $\Lambda$CDM's 6, with the primordial helicity $\varepsilon_h$ as the only particle-physics free parameter. In the far future, Coleman-De Luccia tunneling from the Berger vacuum to the symmetric $S^3$ dissolves all topological structure; the resulting unstable hilltop re-squashes, creating a new cycle of matter via the Kibble-Zurek mechanism (Paper LXIV).</p> <p>> [!note] <b>Note (v1.1, April 2026)</b> > The gravitational constant formula has been updated from the leading-order form $G = (17/13)\alpha^{21}\hbar c/m_e^2$ (0.12% accuracy) to the improved form $G = (19/18)\alpha^{21-6\alpha}\hbar c/m_e^2$ (0.006% accuracy). See Paper LXVIII for the derivation of the prefactor 19/18 from cross-curvature between $S^3$ and $F_2$, and the sub-leading exponent $6\alpha$ from the Gauss-Bonnet trace anomaly. Throughout this paper, the leading-order form $(17/13)\alpha^{21}$ is retained in cosmological calculations where 0.12% precision is more than sufficient.</p> <p><strong>Keywords:</strong> physics, cosmology, soliton, topology, CMB, BBN, baryogenesis, dark matter, dark energy, inflation, gravitational waves, cyclic</p> <p><strong>DOI:</strong> <a href="https://doi.org/10.5281/zenodo.19434057">10.5281/zenodo.19434057</a></p> <p><strong>Series:</strong> Paper XXXIX in the Hopf Soliton Programme</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19581418 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | Paper XXXIX: Soliton Cosmology — From Reheating to Recombination Novickis, Alexander physics cosmology soliton topology CMB BBN baryogenesis dark-matter dark-energy inflation gravitational-waves cyclic <p><strong>Title:</strong> Paper XXXIX: Soliton Cosmology — From Reheating to Recombination</p> <p><strong>Author:</strong> Alexander Novickis (alex.novickis@gmail.com)</p> <p>The topological soliton framework provides natural mechanisms for each major epoch of cosmological history, yet these mechanisms have been developed in separate papers with limited cross-checking of mutual consistency. This paper synthesizes the cosmological results from Papers VI (dark matter), IX (baryogenesis), XI (dark energy), XXII (inflation), XXIII (gravitational waves), XXIV (Kibble-Zurek production), LXIV (cyclic cosmology), LXVII (vacuum condensate dark matter), and LXVIII (gravitational constant) into a unified timeline from inflation through recombination, late-time acceleration, and the speculative far future. We construct the master chronology: inflation is driven by the Hopf vacuum phase transition with derived effective potential $V(\psi) = V_0(1 - e^{-\sqrt{2/3}\,\psi/M_P})^{2\beta}$ from the $O(3)$ Heisenberg universality class and $S^3$ KK kinetic term (Paper_XXII_Inflation|Paper XXII Section 8), yielding $n_s = 0.967$ and $r = 0.003$; reheating populates the soliton spectrum via the Kibble-Zurek mechanism with $O(3)$ critical exponents ($\nu = 0.7112$, $z = 2.0$, $\sigma_\text{KZ} = 0.881$); baryogenesis proceeds through CP-violating nucleation at $T \sim$ MeV; dark matter arises as the knotting sector of the topological vacuum condensate, predicting $\rho_\text{DM}/\rho_\Lambda = 3/8 = 0.375$ (observed: 0.387, 3.2% match) with zero free parameters; BBN proceeds with $\Delta N_\text{eff} = 0.042$ per dark species; the CMB is consistent with standard $\Lambda$CDM using the soliton-derived cosmological constant ($\rho_\Lambda$ within 1.4% of observed, though with large systematic uncertainties). The gravitational constant $G = (17/13)\alpha^{21}\hbar c/m_e^2$ (0.12% accuracy, Paper LXVIII) eliminates $M_P$ as an independent parameter. Under the vacuum condensate dark matter picture, the effective parameter count is reduced to ~4 ($\varepsilon_h$, $H_0$, $\tau$, $A_s$) vs $\Lambda$CDM's 6, with the primordial helicity $\varepsilon_h$ as the only particle-physics free parameter. In the far future, Coleman-De Luccia tunneling from the Berger vacuum to the symmetric $S^3$ dissolves all topological structure; the resulting unstable hilltop re-squashes, creating a new cycle of matter via the Kibble-Zurek mechanism (Paper LXIV).</p> <p>> [!note] <b>Note (v1.1, April 2026)</b> > The gravitational constant formula has been updated from the leading-order form $G = (17/13)\alpha^{21}\hbar c/m_e^2$ (0.12% accuracy) to the improved form $G = (19/18)\alpha^{21-6\alpha}\hbar c/m_e^2$ (0.006% accuracy). See Paper LXVIII for the derivation of the prefactor 19/18 from cross-curvature between $S^3$ and $F_2$, and the sub-leading exponent $6\alpha$ from the Gauss-Bonnet trace anomaly. Throughout this paper, the leading-order form $(17/13)\alpha^{21}$ is retained in cosmological calculations where 0.12% precision is more than sufficient.</p> <p><strong>Keywords:</strong> physics, cosmology, soliton, topology, CMB, BBN, baryogenesis, dark matter, dark energy, inflation, gravitational waves, cyclic</p> <p><strong>DOI:</strong> <a href="https://doi.org/10.5281/zenodo.19434057">10.5281/zenodo.19434057</a></p> <p><strong>Series:</strong> Paper XXXIX in the Hopf Soliton Programme</p> |
| title | Paper XXXIX: Soliton Cosmology — From Reheating to Recombination |
| topic | physics cosmology soliton topology CMB BBN baryogenesis dark-matter dark-energy inflation gravitational-waves cyclic |
| url | https://doi.org/10.5281/zenodo.19581418 |