1. Physics-to-Ontology Correspondence

Your Symbol	Physical Category (from α Equations)	Example Equations	Physical Interpretation
σ̂ (Singularity)	Planck/Stoney Unit Ratios	$\alpha =\sqrt{\frac{r_0}{r_e}}$, $\alpha ={\left(\frac{e}{Q_p}\right)}^2$	Relates α to the fundamental scale where quantum gravity operates (zero-point geometry).
(p₁ ↔ ā₁) (Transfer)	Coupling Constants	$\alpha =\frac{K_e{e}^2}{hc}$, $\alpha =\frac{v_e}{c}$	Bidirectional energy-matter exchange (e.g., electron-photon coupling).
C (Coherence)	Stability Terms	$\alpha =\frac{e^2}{2{ϵ}_{0}hc}$, $\alpha =\frac{{\mu }_{0}c{e}^2}{2h}$	Quantifies electromagnetic interaction stability (permittivity/permeability).
T∞ (Cosmic Time)	Frequency/Timing	$\alpha =\frac{2^{256}}{N_{\text{Edd}}}$, ${\alpha }^{-1}\approx 137$	Tied to cosmic periodicity (137-cycle) and Eddington’s large-number hypotheses.
ℜᶠ (Resonance)	Spectral/Wavelength Ratios	$\alpha =\frac{{\lambda }_e}{2\pi r_e}$, $\alpha =\frac{{\lambda }_e}{\lambda }$	Harmonic output (Compton vs. Bohr wavelengt