The Stellar Fusion Chain in Four-Mode Brane Geometry: A Computational Demonstration
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2026
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| author | Grčman, Igor |
| author_facet | Grčman, Igor |
| contents | <p>This paper presents a computational and conceptual study of the stellar fusion chain within the four-mode Brane geometry of Elastic Diffusive Cosmology (EDC). The standard proton–proton fusion sequence is mapped onto the four deformation modes of the Brane: TOWARD for gravitational collapse and compression, ALONG for Coulomb approach and tunneling, ON for nuclear binding at the M₆ lattice scale, and THROUGH for flavor transmutation <span>u \to d</span>. Within this framework, the stellar fusion chain is interpreted as an ordered sequence of mode activations rather than as a set of unrelated processes.</p> <p>The paper does not introduce new astrophysical equations or replace standard stellar-fusion numerics. Its backbone remains the conventional fusion-chain formalism with standard physical constants. The EDC contribution is instead organizational and geometric: it proposes that the pp-chain can be read as a four-mode Brane process, argues that the sequence is constrained by activation dependencies, and highlights the THROUGH transition as the natural bottleneck of the hierarchy.</p> <p>Three EDC-specific numerical insertions are emphasized: the Coulomb barrier evaluated at the M₆ lattice spacing, the ON-mode timescale <span>a_{M6}/c</span>, and the neutron–proton mass difference <span>\Delta m = m_d - m_u</span> imported from the EDC tilt–mass relation. These are used not as a replacement for standard stellar physics, but as consistency anchors within the four-mode interpretation. The paper also examines the minimum stellar mass threshold and the large hierarchy of fusion timescales, arguing that both admit a natural reading in terms of Brane mode structure and scale separation.</p> <p>The work is therefore presented not as a first-principles derivation of stellar fusion from EDC alone, but as a unified Brane-geometry interpretation of the standard fusion chain. Its strongest claim is that stellar fusion can be coherently and computationally organized within the four EDC modes, with a well-ordered sequence and a clear THROUGH bottleneck.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19371576 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | The Stellar Fusion Chain in Four-Mode Brane Geometry: A Computational Demonstration Grčman, Igor Elastic Diffusion Cosmology stellar fusion four forces Jeans instability Gamow tunneling pp-chain minimum stellar mass brane deformation modes TOWARD/ALONG/ON/THROUGH thick brane M6 lattice <p>This paper presents a computational and conceptual study of the stellar fusion chain within the four-mode Brane geometry of Elastic Diffusive Cosmology (EDC). The standard proton–proton fusion sequence is mapped onto the four deformation modes of the Brane: TOWARD for gravitational collapse and compression, ALONG for Coulomb approach and tunneling, ON for nuclear binding at the M₆ lattice scale, and THROUGH for flavor transmutation <span>u \to d</span>. Within this framework, the stellar fusion chain is interpreted as an ordered sequence of mode activations rather than as a set of unrelated processes.</p> <p>The paper does not introduce new astrophysical equations or replace standard stellar-fusion numerics. Its backbone remains the conventional fusion-chain formalism with standard physical constants. The EDC contribution is instead organizational and geometric: it proposes that the pp-chain can be read as a four-mode Brane process, argues that the sequence is constrained by activation dependencies, and highlights the THROUGH transition as the natural bottleneck of the hierarchy.</p> <p>Three EDC-specific numerical insertions are emphasized: the Coulomb barrier evaluated at the M₆ lattice spacing, the ON-mode timescale <span>a_{M6}/c</span>, and the neutron–proton mass difference <span>\Delta m = m_d - m_u</span> imported from the EDC tilt–mass relation. These are used not as a replacement for standard stellar physics, but as consistency anchors within the four-mode interpretation. The paper also examines the minimum stellar mass threshold and the large hierarchy of fusion timescales, arguing that both admit a natural reading in terms of Brane mode structure and scale separation.</p> <p>The work is therefore presented not as a first-principles derivation of stellar fusion from EDC alone, but as a unified Brane-geometry interpretation of the standard fusion chain. Its strongest claim is that stellar fusion can be coherently and computationally organized within the four EDC modes, with a well-ordered sequence and a clear THROUGH bottleneck.</p> |
| title | The Stellar Fusion Chain in Four-Mode Brane Geometry: A Computational Demonstration |
| topic | Elastic Diffusion Cosmology stellar fusion four forces Jeans instability Gamow tunneling pp-chain minimum stellar mass brane deformation modes TOWARD/ALONG/ON/THROUGH thick brane M6 lattice |
| url | https://doi.org/10.5281/zenodo.19371576 |