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| フォーマット: | Recurso digital |
| 言語: | 英語 |
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Zenodo
2026
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| 主題: | |
| オンライン･アクセス: | https://doi.org/10.5281/zenodo.18906964 |
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- <h1><strong>TDZero Cosmic Theory - Part III:</strong></h1> <h2><strong>The Geometry of Projection</strong></h2> <p><strong>Author: Mauro Yacote Caldas </strong></p> <p><strong>Date: March 8th, 2026 </strong></p> <p><strong>License: Creative Commons Attribution Share Alike 4.0 International (CC BY-SA 4.0)</strong></p> <p><strong>_______________________________________</strong></p> <p><strong>TDZero Cosmic Theory — Part III: The Geometry of Projection</strong> is the sixth work in the TDZero theoretical programme. Where Books 4 and 5 derived the four fundamental constants of physics (G, c, ħ, ρ_dark) from a single geometric parameter α = 1.03666130, this book addresses the foundational question those derivations left open: <em>why</em> is the scaling exponential?</p> <p>The book proves that the exponential form R(N) ∝ e^(αN) is a geometric theorem of the four-dimensional hypercubic Halbach structure — not an analogy imported from engineering. From this proof, it constructs the full TDZero Lagrangian, derives the field equations and junction conditions at frame boundaries, and resolves the cosmological constant problem structurally: the three spatial gauge fields contribute zero vacuum energy by gauge invariance, while the non-propagating temporal field contributes exactly ρ_dark.</p> <p>Further results include: the Standard Model gauge group U(1) × SU(2) × SU(3) emerging from Halbach symmetry; tree-level and one-loop electroweak predictions (M_W ≈ 78 GeV, M_Z ≈ 91 GeV, m_h ≈ 132 GeV); the Hubble constant prediction H₀ ≈ 64 km/s/Mpc from N_total = 52 (the correct Halbach closure number); and the identification of two closed-form candidates for α, the most precise being (1/4)[ln(√3+1)+π], accurate to 0.002 ppm.</p> <p>____________________________________</p> <p>This is the sixth work in a theoretical programme comprising:<br> • The Temporal-Dimensional Zero Theory (Yacote Caldas, 2025) - https://doi.org/10.5281/zenodo.16852964<br> • The TDZero Zero Integration Theory (Yacote Caldas, 2025) - https://doi.org/10.5281/zenodo.18343075<br> • The Rotational Structure of Reality (Yacote Caldas, 2026a) - https://doi.org/10.5281/zenodo.18805466<br> • The TDZero Cosmic Tehory - The Fundamental Structure of Cosmnic Reality (Yacote Caldas, 2026b) - https://doi.org/10.5281/zenodo.18826151<br> • The TDZero Cosmic Tehory - Part II The Fundamental Constants (Yacote Caldas, 2026c) - https://doi.org/10.5281/zenodo.18864933</p> <p><span>The work is published under Creative Commons Attribution Share Alike CC BY-SA 4.0.<br></span></p> <h2>Note on Independent Research</h2> <p>This work was produced outside any academic institution, without departmental affiliation or grant funding. This book invites critical examination and empirical testing by the scientific community.<br>__________________________________</p>