Q.C. Zhang Twistor Configuration Geometry

My work proposes that the dimensionless constants of physics — α, Λ, αG, Yukawa couplings, sin²θW, and others — are not free parameters but structural invariants of a combinatorial geometry built on Penrose's projective twistor space CP³.

The framework is Twistor Configuration Geometry (TCG); the philosophical reading is the Configurable Universe — constants are chamber invariants, in the same sense that the dimension of a vector space is.

Empirical anchor

Nine sub-percent algebraic relations among independently-measured constants, spanning 124 orders of magnitude across six physical sectors — none currently derivable from the Standard Model or general relativity.

Falsifiable prediction

A spin-1 mediated short-range fifth force at αY ≈ 1.88×10⁴, λ ≲ 5–10 μm — about 500× from current short-range gravity bounds. The framework also includes one no-go theorem (60σ on-shell weak-angle exclusion) and three structural constraints, listed in the Predictions ledger.

The corpus

36 papers on Zenodo, CC-BY-4.0: a 32-paper Twistor Configuration Geometry arc (synthesis, framework architecture, specific empirical predictions, and methodology) plus 4 adjacent workstreams. See the full list.

Contact

Email: qczhang@aya.yale.edu

Open to criticism, collaboration, and pointers to related work.