תוכן הענינים: :: Library Catalog

שמור ב:

מידע ביבליוגרפי
מחבר ראשי:	Lemeshko, Andriy
פורמט:	Recurso digital
שפה:
יצא לאור:	Zenodo 2025
גישה מקוונת:	https://doi.org/10.5281/zenodo.17772993
תגים:	הוספת תג אין תגיות, היה/י הראשונ/ה לתייג את הרשומה!

תוכן הענינים:

Abstract Stellar cores appear far too cold to sustain the nuclear reaction rates required by observed luminosities and lifetimes. Classical Gamow tunneling predicts fusion probabilities many orders of magnitude lower than those inferred from solar and main-sequence stars. This long-standing temperature paradox indicates that an essential physical mechanism is missing from standard models of stellar nuclear physics. We propose that the solution lies in the temporal structure of spacetime itself. Within the Temporal Theory of the Universe (TTU), time is not a passive coordinate but a physical field with density τ(x, t, Θ), whose spatial gradients ∇τ modify both the effective potential barrier and the effective mass of tunneling nuclei. We show that these effects lead to a universal enhancement of nuclear tunneling, encapsulated by the Temporal Tunneling Equation &emsp;&emsp;Γ = Γ₀ exp[Λ(∇τ)²], where Λ is derived from the TTU action parameters (α, κ, χ, m_τ). Applying TTE to stellar interiors, we demonstrate that realistic τ-gradients—arising naturally from gravitational stratification, plasma inhomogeneities, and δτ-wave modes—significantly amplify proton–proton and CNO fusion rates without invoking additional heating or exotic particles. This mechanism resolves the stellar temperature paradox, modifies mass–luminosity–lifetime relations, and produces specific observational signatures in solar neutrino spectra, helioseismic structure, and main-sequence morphology. These results suggest that temporal geometry is an active driver of nuclear fusion, and that stars ignite not only because matter is hot, but because time is unevenly distributed inside them. <div> </div> Keywords Temporal field τ; temporal gradients ∇τ; TTU; hyper-time Θ; temporal curvature; stellar fusion; Gamow factor; quantum tunneling; tunneling enhancement; pp-chain; CNO cycle; Coulomb barrier suppression; stellar interiors; solar neutrinos; helioseismology; main-sequence evolution; δτ-waves; effective mass modification; temporal geometry; astrophysical plasmas. Abstract 1. Introduction 1.1. The classical temperature paradox in stellar cores 1.2. Limitations of standard Gamow tunneling theory 1.3. Time as a physical field: from Kozyrev to TTU 1.4. Temporal gradients as a new catalyst of nuclear fusion 1.5. Purpose and structure of the work <div> </div> 2. Temporal Field Framework (TTU Overview) 2.1. The temporal density field τ(x, t, Θ) 2.2. Spatial gradients ∇τ and their physical meaning 2.3. Hyper-time Θ and the topological origin of ħ 2.4. Effective masses of τ-modes and f-spectral hierarchy 2.5. Temporal curvature as a source of gravitational and plasma effects <div> </div> 3. Why Stars Burn Too Slowly: The Standard Problem 3.1. Reaction chains in stellar interiors (pp-chain, CNO cycle) 3.2. Classical Coulomb barrier and Gamow peak 3.3. Core temperatures vs observed stellar lifetimes 3.4. Existing “patches”: screening, opacity corrections, plasma effects 3.5. Why these corrections are insufficient <div> </div> 4. Temporal Tunneling Equation (TTE): Theory 4.1. Derivation of the τ-modified Euclidean action 4.2. Barrier suppression by temporal gradients: &emsp;&emsp;U_eff = U₀ − B(∇τ)² 4.3. Effective mass reduction of reacting nuclei: &emsp;&emsp;m_eff = m₀ − C(∇τ)² 4.4. Combined action reduction: &emsp;&emsp;S = S₀ − Λ(∇τ)² 4.5. Final formula: &emsp;&emsp;Γ = Γ₀ exp[Λ(∇τ)²] 4.6. Physical interpretation: “compressed time” accelerates tunneling <div> </div> 5. Temporal Fusion in Stellar Cores 5.1. τ-structure of stellar plasma and gravitationally induced ∇τ 5.2. Estimating real τ-gradients in solar-type stars 5.3. Enhancement of pp-chain tunneling rates under TTE 5.4. CNO cycle sensitivity to temporal geometry 5.5. Modified luminosity–mass–lifetime relationships 5.6. Resolution of the stellar temperature paradox <div> </div> 6. Observational Consequences 6.1. Solar neutrino spectrum under τ-enhanced fusion 6.2. Helioseismic constraints on temporal curvature 6.3. Revising stellar isochrones with τ-corrections 6.4. Population-level effects: main-sequence broadening 6.5. Observable deviations in low-metallicity and high-density stars <div> </div> 7. Laboratory Analogues and Scaled Experiments 7.1. STM and Josephson systems as analogues of τ-mediated tunneling 7.2. Plasma devices and Z-pinches as temporal-gradient generators 7.3. THz-driven barriers and δτ-wave excitation 7.4. Cold-atom lattices and engineered ∇τ analogues 7.5. Scaling laws from laboratory to astrophysical regimes <div> </div> 8. Discussion 8.1. Relation to Kozyrev’s ideas and key differences 8.2. Comparison with modified gravity and exotic tunneling models 8.3. Potential falsification: what observations could disprove TTE 8.4. Limitations of the model and future refinements 8.5. Prospects for τ-engineering in fusion research <div> </div> 9. Conclusion • Time as an active physical agent in stellar ignition • Temporal gradients as universal tunneling catalysts • TTE as a resolution of the stellar temperature paradox • Predictions for astrophysics and laboratory experiments • Roadmap for further theoretical and observational work Reference <div> </div> Appendices Appendix A. Full Derivation of the Temporal Tunneling Equation (TTE) Appendix B. Effective τ-Mode Mass and the Coulomb Barrier Appendix C. Numerical Estimates for Solar and Main-Sequence Stars Appendix D. Modified Gamow Factor with τ-Dependence Appendix E. Temporal-Plasma Coupling and δτ-Shock Structures Appendix F. Mapping Λ to TTU Parameters (α, κ, χ, m_τ) Appendix G. Predictions Table for Astrophysics and Laboratory Physics Appendix Z. Dimensional Conventions, Reviewer Notes, and Consistency Checks

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