DCQ1: A Discrete-Continuous-Quantum Correspondence
Year: 2026
Type: preprint
Abstract: We construct a kinematic framework that unifies discrete, continuous, and quantumdescriptions of physical states. The core of the model is a 64-element binaryconfiguration space H6 = {±1}6, which is isometrically embedded into the complexGrassmannian Gr(3, 6) via a novel phase-encoding map. We prove that thediscrete Hamming-style metric on H6 coincides exactly with the geodesic distanceon Gr(3, 6) under this embedding, establishing metric compatibility. The inducedquantum state space reveals a fundamental bipartition into bosonic and fermionicsectors with a total dimension of 24, intriguingly reminiscent of the ln 24 term inblack hole entropy. Furthermore, the determinant line bundle on Gr(3, 6) equips themodel with a Berry connection whose curvature is integrally quantized, ensuringglobal consistency of geometric phases. This work provides a rigorous kinematicfoundation for a unified structural theory of physics, serving as a basis for futuredynamical and physical investigations.
Author: ZHAI XINGYUN
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7124728974