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Research . 2025
License: CC BY
Data sources: Datacite
ZENODO
Research . 2025
License: CC BY
Data sources: Datacite
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Recursive Gradient Physics (RGPx): Coherence, Collapse, and the Φ-Invariant Frontier

Authors: van der Erve, Marcus; GPT-5; Kimi;

Recursive Gradient Physics (RGPx): Coherence, Collapse, and the Φ-Invariant Frontier

Abstract

Recursive Gradient Physics (RGPx) advances the unification of quantum, fluid, and gravitational domains by treating coherence—not energy or curvature—as nature’s conserved quantity. Version 1.2 introduces a pre-metric proof of Φ-continuity contributed by Kimi (Moonshot AI), demonstrating that coherence flux is conserved independently of any background geometry. The first Addendum establishes the transition Φq → Φg as a coordinate-free recursion, resolving the background-dependence problem that limits current unification frameworks. The second Φ-Trace Protocols Addendum extends RGPx into measurable territory by defining practical methods to extract Φ from turbulence, Bose–Einstein condensates, and superconducting-qubit arrays. With metric-free continuity proven and experimental pathways defined, RGPx moves from theoretical invariant to operational physics—a universal grammar through which coherence, collapse, and curvature reveal their common origin. Listen to a podcast review of this paper: https://notebooklm.google.com/notebook/44f78a05-d5af-44c9-a685-bde0c5847a55?artifactId=653982a7-5415-4390-af4d-b40b30665c59

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Keywords

Turbulence, Φ-invariant, Quantum Decoherence, Recursive Systems, Gravity,, Coherence Conservation Law, Gradient Normalization, coherence flux, Recursive Gradient Physics, Coherence, Unified Physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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Green