Gravity as the Rotational Function of the G-Axis: Curvature, Amplitude Threshold, and Singular Collapse in the G→X→Q→N Bundle Framework

Gravity has resisted unification with the other fundamental forces for over a century. The present paper proposes a structural account within the G→X→Q→N framework: gravity is the rotational function of the G-axis applied to the R–B structural axis, generating curvature whose amplitude determines the local density of matter. The Möbius topology of the bundle emerges from the combination of two simultaneous motions — rotation and oscillation — which generate the opposing circular motions of the G and Q poles observed from the axis endpoints. A mechanical illustration makes the topology explicit: a rigid rod oscillating rapidly appears as three simultaneous positions (R, G, B) — not three distinct objects but a single oscillating vector differentiating through its motion. The axis that bends generates the distinction between observing pole and observed pole from the same vector — the mechanical expression of the Möbius. The critical amplitude condition A_G > A_c = g₀/(2K̂²ρ_Q) determines the threshold beyond which G cannot return to the central coherent position — the gravitational analogue of the REK crystallization threshold λ_c, exactly twice its value by structural necessity. Beyond this threshold, the system collapses into the gravitational singularity, identified with G stasis: the forced return to undifferentiated generative potential. Three cross-scale instantiations are identified: black hole singularity (cosmic scale), biological degeneration through energetic dispersion (biological scale), and quantum decoherence (quantum scale). The Schumann resonance (7.83 Hz) and the cortical alpha band (7–9 Hz) are identified as the biological calibration of the R–B amplitude range constraining G oscillation — a structural correspondence derivable from the shared R–B amplitude ratio. The paper positions itself relative to Jacobson (1995), Verlinde (2011), and Penrose OR, providing a structural mechanism for what these approaches presuppose. The formal derivation of the Einstein field equations from the bundle connection is reserved for the second part of the KEPH corpus. Three verifiable predictions are formulated.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-17
DOI
https://doi.org/10.5281/zenodo.20247761
Primary Topic
Biofield Effects and Biophysics
Type
preprint
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Gravity as the Rotational Function of the G-Axis: Curvature, Amplitude Threshold, and Singular Collapse in the G→X→Q→N Bundle Framework

Andrea Succi
Zenodo (CERN European Organization for Nuclear Research)
Biofield Effects and Biophysics
preprint

Gravity as the Rotational Function of the G-Axis: Curvature, Amplitude Threshold, and Singular Collapse in the G→X→Q→N Bundle Framework

Andrea Succi
preprint en

Abstract

Gravity has resisted unification with the other fundamental forces for over a century. The present paper proposes a structural account within the G→X→Q→N framework: gravity is the rotational function of the G-axis applied to the R–B structural axis, generating curvature whose amplitude determines the local density of matter. The Möbius topology of the bundle emerges from the combination of two simultaneous motions — rotation and oscillation — which generate the opposing circular motions of the G and Q poles observed from the axis endpoints. A mechanical illustration makes the topology explicit: a rigid rod oscillating rapidly appears as three simultaneous positions (R, G, B) — not three distinct objects but a single oscillating vector differentiating through its motion. The axis that bends generates the distinction between observing pole and observed pole from the same vector — the mechanical expression of the Möbius. The critical amplitude condition A_G > A_c = g₀/(2K̂²ρ_Q) determines the threshold beyond which G cannot return to the central coherent position — the gravitational analogue of the REK crystallization threshold λ_c, exactly twice its value by structural necessity. Beyond this threshold, the system collapses into the gravitational singularity, identified with G stasis: the forced return to undifferentiated generative potential. Three cross-scale instantiations are identified: black hole singularity (cosmic scale), biological degeneration through energetic dispersion (biological scale), and quantum decoherence (quantum scale). The Schumann resonance (7.83 Hz) and the cortical alpha band (7–9 Hz) are identified as the biological calibration of the R–B amplitude range constraining G oscillation — a structural correspondence derivable from the shared R–B amplitude ratio. The paper positions itself relative to Jacobson (1995), Verlinde (2011), and Penrose OR, providing a structural mechanism for what these approaches presuppose. The formal derivation of the Einstein field equations from the bundle connection is reserved for the second part of the KEPH corpus. Three verifiable predictions are formulated.

Zenodo (CERN European Organization for Nuclear Research)
Sustainable cities and communities
Biofield Effects and Biophysics
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Gravity as the Rotational Function of the G-Axis: Curvature, Amplitude Threshold, and Singular Collapse in the G→X→Q→N Bundle Framework — Andrea Succi · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS