| _version_ | 1866901707279040512 |
|---|---|
| author | Morita, Kuniyuki |
| author_facet | Morita, Kuniyuki |
| contents | <p>This paper presents the unified structure of the second-generation quantum gravity theory based on the future-directed distribution (S, μμ), summarizing and integrating the results of A-II through G-II. The theory identifies the future-directed distribution as the single fundamental variable from which gravity, matter, and interactions all emerge as hierarchical manifestations of its internal structure.</p> <p>The classical hierarchy (A-II–C-II) shows that spacetime geometry and gravitational dynamics arise from the variational structure of (S, μμ), without assuming a metric as a fundamental field. The linear quantum hierarchy (D-II) introduces eigenmodes of the distribution, forming the minimal basis of quantum fluctuations. The nonlinear quantum hierarchy (E-II, F-II) demonstrates that localized 1/r² singular structures in the nonlinear quantum correction Δ(2) naturally generate matter modes without introducing independent matter fields. The mixed quantum hierarchy (G-II) shows that interactions between matter arise from the nonlinear interference of their singular structures, producing an interaction tensor with a universal 1/R dependence.</p> <p>Together, these results establish that gravity (classical hierarchy), matter (nonlinear quantum hierarchy), and interactions (mixed quantum hierarchy) all originate from the same underlying future-directed distribution. The second-generation theory is therefore mathematically closed and fully unified. The paper concludes by outlining the path toward a third-generation framework, where a probabilistic future-direction distribution P(u) may provide a mathematical foundation for the arrow of time.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19542046 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | H-II: Unified Theory of the Future-Direction Distribution Morita, Kuniyuki future-directed distribution unified theory second-generation quantum gravity hierarchical structure emergent gravity emergent matter nonlinear quantum correction interaction tensor 1/R interaction variational structure eigenmodes arrow of time probabilistic future direction <p>This paper presents the unified structure of the second-generation quantum gravity theory based on the future-directed distribution (S, μμ), summarizing and integrating the results of A-II through G-II. The theory identifies the future-directed distribution as the single fundamental variable from which gravity, matter, and interactions all emerge as hierarchical manifestations of its internal structure.</p> <p>The classical hierarchy (A-II–C-II) shows that spacetime geometry and gravitational dynamics arise from the variational structure of (S, μμ), without assuming a metric as a fundamental field. The linear quantum hierarchy (D-II) introduces eigenmodes of the distribution, forming the minimal basis of quantum fluctuations. The nonlinear quantum hierarchy (E-II, F-II) demonstrates that localized 1/r² singular structures in the nonlinear quantum correction Δ(2) naturally generate matter modes without introducing independent matter fields. The mixed quantum hierarchy (G-II) shows that interactions between matter arise from the nonlinear interference of their singular structures, producing an interaction tensor with a universal 1/R dependence.</p> <p>Together, these results establish that gravity (classical hierarchy), matter (nonlinear quantum hierarchy), and interactions (mixed quantum hierarchy) all originate from the same underlying future-directed distribution. The second-generation theory is therefore mathematically closed and fully unified. The paper concludes by outlining the path toward a third-generation framework, where a probabilistic future-direction distribution P(u) may provide a mathematical foundation for the arrow of time.</p> |
| title | H-II: Unified Theory of the Future-Direction Distribution |
| topic | future-directed distribution unified theory second-generation quantum gravity hierarchical structure emergent gravity emergent matter nonlinear quantum correction interaction tensor 1/R interaction variational structure eigenmodes arrow of time probabilistic future direction |
| url | https://doi.org/10.5281/zenodo.19542046 |