Quantum Foundations

Quantum Foundations studies how core quantum structures may arise from Coherence Geometry. Papers in this area examine phase closure, Planck-scale action quantization, interference laws, Born-type probabilities, measurement projection, and Bell-type correlations as consequences of coherence structure, geometric preparation, and projection.

Based on our understanding thus far, ⁠

Quantum mechanics is operationally correct because its quantized outcomes arise as constrained projections of a deeper coherence geometry.

In that picture, “deterministic” and “quantum” are not opposites. The source evolves through coherence and constraint, while observations access particular admissible projections. Those projections can be discrete, contextual, probabilistic-looking, and quantum in exactly the experimentally verified sense.

Once someone understands that foundational premise, it’s easier to realize why Coherence Geometry reproduces, rather than replaces, traditional quantum theory. Essentially, they are different expressions of the same thing.

Publications List

  • Atomic Bonding via Coherence Geometry

    CGI-RSR-000027 | This paper applies Coherence Geometry — a deterministic, field-based framework — to the problem of chemical bonding, modeling atoms as continuous amplitude and phase fields evolving under a shared energy functional. Unlike traditional quantum mechanics, which describes bonding via probabilistic wavefunction overlap and operator constraints, Coherence Geometry treats bond formation as a real-time…

  • Atomic Orbitals via Coherence Geometry

    CGI-RSR-000024 | This paper introduces a geometric framework for the spontaneous emergence of atomic orbital structures from curvature-driven field dynamics, independent of quantum mechanical postulates. Within Petersen’s Coherence Geometry (CG) framework, orbitals arise as metastable attractors in a real-valued amplitude field, shaped by angular tension gradients and curvature bifurcations.

  • Deterministic Geometric Preparation and the Emergence of the Born Rule in Two-Path Interference

    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.

  • Geometric Substrate Models and Bell–CHSH Correlations: A Structural Analysis of Assumption Relaxation

    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…

  • Planck’s Constant as a Coherence Quantization from Phase Geometry

    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.