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| Natura: | Recurso digital |
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Zenodo
2026
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| Accesso online: | https://doi.org/10.5281/zenodo.20349128 |
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Sommario:
- <p>FD-8 provides the unified evolution equation of the FD-Series by combining the <br>three layers of the future-direction structure: the expectation value mu, the <br>statistical width Sigma, and the internal degrees of freedom kappa. While FD-1 <br>to FD-7 develop these components individually, FD-8 shows that they arise from <br>a single underlying distribution P(mu) whose evolution determines both classical <br>and quantum gravitational behavior.</p> <p>The unified evolution equation takes the schematic form<br> dP/dtau = L[mu, Sigma, kappa] P,<br>where the operator L encodes the geometric change of the future direction and <br>its fluctuations. Classical gravity emerges from the first-moment structure mu, <br>quantum behavior from the second-moment structure Sigma, and internal degrees <br>of freedom from the eigenstructure of the distribution. No additional fields or <br>postulates are required.</p> <p>In the classical limit Sigma -> 0 and kappa -> 0, the equation reduces smoothly <br>to the deterministic hierarchy FD-1 to FD-5. In quantum and near-quantum <br>regimes, the full structure of P(mu) becomes essential and provides a unified <br>description of gravity, quantum behavior, and internal structure.</p> <p>FD-8 completes the FD-Series by establishing the minimal unified framework for <br>classical and quantum gravity based on the geometry of the future direction.</p>