Editing Openai/6897769e-4ee4-800f-aba5-69cca34f701c (section)

===== Pick one and I’ll run it next: =====
# Search for a simple analytic correction so that 1/α ≈ (golden angle) − ε, with ε expressed as a small simple function of π, e, or rational combination of φ (try linear combos, rational approximations). I can run a short search for low-integer rational combinations that reduce the residual (e.g., a·φ + b·π + c fits).
# Do a constrained numeric optimisation: try to express 1/α as a small integer/rational-weighted sum of a small basis {φ, π, ln(2), e} and report best low-complexity approximations (with penalties for large integers).
# Move from numerics to geometry: attempt a short derivation that links e², ħ/2π, c, and 4πr² to an angular geometry parameter and see if a small geometric correction naturally appears (this is more symbolic/analytical and will take longer).
# Keep exploring the Fibonacci → golden-angle route but try to model a plausible physical correction from QAT (e.g., spherical-surface discrete sampling, finite-size effect, or charge-distribution asymmetry) and estimate the size of that correction numerically.

If you want, I can now:
* run option (1) or (2) and produce candidate simple formulae (quick numeric search), or
* start sketching a short symbolic argument for how a small geometric correction might arise in QAT (option 3).

Which would you prefer? (I can proceed automatically with a low-complexity numeric search first if you’d like.)