Research Notebook: Discrete Scale Invariance, RG Dynamics, and ϕ-Scaling in Gravity
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2026
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| _version_ | 1866901550972010496 |
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| author | Hernandeztm, Anthony K. |
| author_facet | Hernandeztm, Anthony K. |
| contents | <p>We investigate a hypothesis of self-organizing, phase-conjugate, fractal compression of charge,<br>termed “implosive coherence”—through a discrete scaling law*. We construct a continuous field-theoretic extension exhibiting discrete scale invariance (DSI). This leads to a modified gravitational potential with<br>log-periodic corrections. We develop a relativistic scalar–tensor theory encoding this structure,<br>derive observable consequences, and propose a gravitational wave detection strategy based on<br>log-frequency phase modulation.</p> <p> </p> <p><br>*Our 1st Physics paper_ 'A scalar–tensor gravity theory with discrete scale invariance (DSI)', which behaves like:</p> <ul> <li> <p>GR at leading order</p> </li> <li> <p>RG limit-cycle corrections at subleading order</p> </li> <li> <p>oscillatory vacuum energy in cosmology. </p> </li> </ul> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19702027 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Research Notebook: Discrete Scale Invariance, RG Dynamics, and ϕ-Scaling in Gravity Hernandeztm, Anthony K. <p>We investigate a hypothesis of self-organizing, phase-conjugate, fractal compression of charge,<br>termed “implosive coherence”—through a discrete scaling law*. We construct a continuous field-theoretic extension exhibiting discrete scale invariance (DSI). This leads to a modified gravitational potential with<br>log-periodic corrections. We develop a relativistic scalar–tensor theory encoding this structure,<br>derive observable consequences, and propose a gravitational wave detection strategy based on<br>log-frequency phase modulation.</p> <p> </p> <p><br>*Our 1st Physics paper_ 'A scalar–tensor gravity theory with discrete scale invariance (DSI)', which behaves like:</p> <ul> <li> <p>GR at leading order</p> </li> <li> <p>RG limit-cycle corrections at subleading order</p> </li> <li> <p>oscillatory vacuum energy in cosmology. </p> </li> </ul> |
| title | Research Notebook: Discrete Scale Invariance, RG Dynamics, and ϕ-Scaling in Gravity |
| url | https://doi.org/10.5281/zenodo.19702027 |