Published April 25, 2026 | Version v1
Journal article Open

Perihelion Precession as Bipolar Recursion Collapse

Description

In General Relativity, the perihelion precession of a gravitational orbit is:
δϕ =
6πGM
ac2(1 − e
2)
.
The coefficient 6 has no derivation in GR — it is a consequence of the geodesic equation
in Schwarzschild geometry. This paper derives it from the Cohesion UFT hexapolarbipolar recursion cascade. In Cohesion UFT, polarity refers to the number of torque
injections per recursion cycle: hexapolar (n = 6) is the symmetric free-field state;
bipolar (n = 2) is the axial collapse state under broken symmetry. A gravitational
orbit operates at stability index Φ = 32/(3π
2 − 4), at which the hexapolar-bipolar
weighted recursion produces an effective curvature factor (nκ)eff = 3. The precession is
then δϕ = 3πRs/rlatus = 6πGM/(ac2
(1 − e
2
)) — the GR formula exactly, with no free
parameters. The coefficient 6 in GR is the Cohesion UFT orbital stability threshold
expressed as a recursion curvature product.

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Additional details

Additional titles

Subtitle (English)
The Cohesion UFT Derivation of the GR Precession Coefficient

References

  • Gilbert, D.A., Cohesion: A Unified Field Theory of Matter and Motion, v2, Independent Researcher (2026).
  • Gilbert, D.A., The Binary Recursion Toggle: Hexpolar and Bipolar States, Independent Researcher (2026).
  • Gilbert, D.A., The Fine-Structure Constant Is the Coupling Between Scales, Independent Researcher (2026).
  • Misner, C.W., Thorne, K.S., & Wheeler, J.A., Gravitation, W.H. Freeman (1973).