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| Format: | Recurso digital |
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Zenodo
2026
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| Online-Zugang: | https://doi.org/10.5281/zenodo.19556270 |
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- <p><strong>Title:</strong><br>Information Space Ontology 10.3: A Unified Mathematical Framework for Information–Geometry–Gravity</p> <p><strong>Authors:</strong><br>Tian Chunsong</p> <p><strong>Description:</strong><br>This is version 10.3 of the <em>Information Space Ontology</em> (ISO) manuscript, which presents a first‑principles theoretical framework unifying quantum decoherence, the origin of mass, dark energy, and cosmic structure formation through a single dynamical variable: the <strong>locking degree <span><span>L</span><span><span><span>L</span></span></span></span></strong>.</p> <p>Starting from four axioms concerning matter, energy, information, and stability, the theory logically derives the irreversible growth of <span><span>L</span><span><span><span>L</span></span></span></span> from chaos (<span><span>L≈0</span><span><span><span>L</span><span>≈</span></span><span><span>0</span></span></span></span>) toward order (<span><span>L→1</span><span><span><span>L</span><span>→</span></span><span><span>1</span></span></span></span>). The locking degree governs the transition from quantum to classical behavior, the emergence of inertial mass, and the accelerated expansion of the universe. A central feature is the existence of multiple information spaces <span><span>{Sα}</span><span><span><span>{</span><span><span>S</span><span><span><span><span><span><span>α</span></span></span><span></span></span></span></span></span><span>}</span></span></span></span> (<span><span>dim=12</span><span><span><span>dim</span><span>=</span></span><span><span>12</span></span></span></span>, isomorphic to the Standard Model gauge group), which provide a natural ontology for the "hidden paths" in quantum measurements.</p> <p><strong>Key updates in version 10.3 (April 10, 2026) compared to version 10.2:</strong></p> <ul> <li> <p><strong>Mathematical rigor:</strong> Explicit mapping between the locking equation and the Lindblad master equation under commuting observables.</p> </li> <li> <p><strong>Fiber‑bundle formulation:</strong> The dimension <span><span>NL=12</span><span><span><span><span>N</span><span><span><span><span><span><span>L</span></span></span><span></span></span></span></span></span><span>=</span></span><span><span>12</span></span></span></span> is rigorously derived as the dimension of the Lie algebra of the Standard Model gauge group; spontaneous symmetry breaking leaves exactly one physical Higgs field.</p> </li> <li> <p><strong>First‑principles derivations:</strong> The mass–information constitutive relation and the dark energy density <span><span>ρDE∝L</span><span><span><span><span>ρ</span><span><span><span><span><span><span><span>DE</span></span></span></span><span></span></span></span></span></span><span>∝</span></span><span><span>L</span></span></span></span> are now derived from an <span><span>f(L)R</span><span><span><span>f</span><span>(</span><span>L</span><span>)</span><span>R</span></span></span></span> action, eliminating phenomenological assumptions.</p> </li> <li> <p><strong>Cosmological perturbations:</strong> The effective mass term <span><span>mL2</span><span><span><span><span>m</span><span><span><span><span><span><span>L</span></span><span><span>2</span></span></span><span></span></span></span></span></span></span></span></span> for locking‑degree fluctuations is obtained from the intrinsic curvature of information space.</p> </li> <li> <p><strong>Statistical reinforcement:</strong> Orthogonality checks and ridge regression for <span><span>α</span><span><span><span>α</span></span></span></span>‑decay data confirm the independent explanatory power of the locking degree.</p> </li> <li> <p><strong>Projection‑independence theorem:</strong> Different experimental proxies of <span><span>L</span><span><span><span>L</span></span></span></span> (Rabi oscillations, decay widths, interference visibility) are shown to be monotonic functions of a single intrinsic locking degree.</p> </li> <li> <p><strong>Ontological lightening:</strong> The multiple information spaces are re‑interpreted in the language of decoherent histories, reducing metaphysical overhead.</p> </li> <li> <p><strong>Transparency:</strong> An enhanced AI‑assistance statement with session logs archived alongside the manuscript.</p> </li> </ul> <p>The manuscript contains extensive experimental validation using public data: superconducting qubit Rabi oscillations, <span><span>α</span><span><span><span>α</span></span></span></span>/<span><span>β</span><span><span><span>β</span></span></span></span>/<span><span>γ</span><span><span><span>γ</span></span></span></span> nuclear decays, the 8 nm sodium cluster interference experiment, and the recoil‑slit continuous tuning of the quantum–classical transition. Several predictions (e.g., half‑lives of newly synthesized neutron‑deficient isotopes) have been confirmed by Nature Communications (2025) and Physics Letters B (2026).</p> <p><strong>Files included:</strong></p> <ul> <li> <p><code>IST10.3.pdf</code> – Full manuscript (compiled with XeLaTeX)</p> </li> <li> <p><code>IST10.3.tex</code> – LaTeX source code</p> </li> <li> <p><code>figures/</code> – Figures (if applicable)</p> </li> <li> <p><code>ai_assistance_logs/</code> – LLM session summaries (optional)</p> </li> </ul> <p>This version supersedes version 10.2 and represents the most self‑consistent and observationally grounded formulation of the Information Space Ontology to date.</p>