Foundation of the p-field law: Scale invariants and causal drift (Mission M-100)
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| Format: | Recurso digital |
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2025
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| _version_ | 1866901715633045504 |
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| author | Wipfler, Karl Heinz |
| author_facet | Wipfler, Karl Heinz |
| contents | <p>Mission M-100 establishes Rule 5, the fundamental field law of Tension Field Dynamics (TFD), formulating gravitation mechanistically via sinks in a tension field rather than geometric curvature. The static form of the law is a Yukawa–Helmholtz equation linking mass sources J(x) to field sinks, reproducing the Gaussian sink as the natural solution and yielding a screened 1/r behavior with range set by the Yukawa length L*. The mission derives scale binding across core parameters (drift strength, sink depth, sink width, packet velocity) through dimensionless invariants, provides a closed small-angle light deflection curve that transitions from Newtonian 1/b to exponential Yukawa suppression, formulates an extremal principle for gradient drift, and introduces an amplitude drift law for many-body dynamics. Causality is clarified by the condition that field disturbance velocity u must not be lower than packet velocity V. With Rule 5, TFD becomes a complete, predictive field theory with defined dynamics, causal structure, and solvable configurations for arbitrary sources.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17856095 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Foundation of the p-field law: Scale invariants and causal drift (Mission M-100) Wipfler, Karl Heinz <p>Mission M-100 establishes Rule 5, the fundamental field law of Tension Field Dynamics (TFD), formulating gravitation mechanistically via sinks in a tension field rather than geometric curvature. The static form of the law is a Yukawa–Helmholtz equation linking mass sources J(x) to field sinks, reproducing the Gaussian sink as the natural solution and yielding a screened 1/r behavior with range set by the Yukawa length L*. The mission derives scale binding across core parameters (drift strength, sink depth, sink width, packet velocity) through dimensionless invariants, provides a closed small-angle light deflection curve that transitions from Newtonian 1/b to exponential Yukawa suppression, formulates an extremal principle for gradient drift, and introduces an amplitude drift law for many-body dynamics. Causality is clarified by the condition that field disturbance velocity u must not be lower than packet velocity V. With Rule 5, TFD becomes a complete, predictive field theory with defined dynamics, causal structure, and solvable configurations for arbitrary sources.</p> |
| title | Foundation of the p-field law: Scale invariants and causal drift (Mission M-100) |
| url | https://doi.org/10.5281/zenodo.17856095 |