Quantum Foundations

CGI-RSR-000022 | The two-path interference law is conventionally derived from complex amplitude superposition together with the Born rule. We present an alternative structural derivation based on a deterministic geometric preparation model defined on the unit circle.

CGI-RSR-000021 | This paper presents a structural analysis of Bell–CHSH correlations using a hierarchy of geometric hidden-variable models defined on the unit circle. The purpose is not to propose a complete physical hidden-variable theory, but to make the assumption-dependence of Bell-type correlations explicit in a transparent geometric setting. The paper examines how Bell–CHSH behavior changes when standard assumptions are modified one at a time, including locality, deterministic response functions, and measurement independence.

CGI-RSR-000020 |Planck’s constant h is traditionally introduced as an empirical constant. Here we show that a natural action scale S_0 arises from phase-constrained coherence geometry. Thus quantization is not imposed but emerges from the geometry of phase closure.