The Golden-Structured Substrate: Emergence of Gravity, Quantum Mechanics, and Chiral Matter from a Single Field

Author Note

I am not a physicist by training, and I have no formal background in theoretical physics.
This work began as an intuitive picture, and I used AI tools to help translate that picture into the standard language of field theory and general relativity, as well as to identify existing concepts that resemble parts of the intuition.
The model is speculative and exploratory.
I welcome correction from experts wherever the mathematics or physical assumptions are incomplete or incorrect.

Several conceptual tensions motivated this work:

1. General relativity’s factor of three in perihelion precession.
   GR robustly predicts a universal coefficient of 3 in orbital precession, yet most modern frameworks do not explain why this specific number appears so naturally.
   This suggested exploring whether the correction might arise from deeper geometric or dynamical structure in the vacuum.

2. Dirac quantization working elegantly for U(1) but becoming unnatural for larger gauge groups.
   This has long hinted to me that quantization might originate not purely from group theory, but from topological excitations of a structured vacuum—much like Skyrmions, Hopfions, or soliton-based models where conserved charges arise geometrically.

3. The possibility that particles are not fundamental points or strings, but soliton-like field excitations.
   Skyrmions in nuclear physics and solitons in nonlinear field theories demonstrate that stable, quantized, particle-like objects can emerge from smooth fields.
   This inspired the idea that “strings” might be better understood as stable soliton trajectories shaped by the vacuum’s topology.

4. Keplerian orbits may represent the underlying true geometry, with GR corrections acting as a lensing-like effect of the vacuum medium.
   Instead of modifying the orbit itself, the substrate may modify how motion is observed—analogous to optical refraction, acoustic metrics, or effective-index media.
   This viewpoint aligns with analogue-gravity research and helped motivate reinterpreting GR corrections as emerging from the substrate rather than replacing Newtonian geometry.

These motivations led to the assumption that the vacuum might possess both:

• a bare Planck-state configuration (using measured Planck units), and

• a dynamically preferred non-resonant equilibrium, mathematically connected to the golden ratio through stability arguments reminiscent of KAM theory.

Under this assumption, many structures familiar from physics—GR’s factor-of-three correction, soliton-like particle excitations, quantized charges, chirality, possible curvature shifts in α, and the organization of modes into discrete sectors—appeared without introducing new mathematical machinery.

This manuscript should not be read as a final theory or complete derivation.
It is an attempt to express a coherent intuitive picture in formal terms and to explore whether a single organizing principle might underlie several otherwise separate phenomena.
If any part of this work is incorrect, I welcome explanation; if any part is useful, I hope those with proper expertise can refine it.

My goal is to participate in the scientific process by offering a clear speculative framework and inviting critique—nothing more.