[32]Connectivity Geometry Framework: Topological Truncation of Wavefunction Collapse and Macroscopic Decoherence Mechanism
Year: 2026
Type: preprint
Abstract: Traditional quantum mechanics usually describes quantum states against a continuous and smooth spacetime background, treating wavefunction collapse as a non-unitary evolution induced by measurement, which has long lacked a fundamental dynamical mechanism. Within the Connectivity Geometry framework (where the underlying universe is a discrete spin network with a fixed step size k=3), this paper proves that under the ontological convention of this framework, the wavefunction is not a fundamental entity, but a multi-path phase coherence superposition of topological defects (particles) on the underlying lattice. A measurement apparatus corresponds to a macroscopic network connected domain with extremely high connectivity and vast degrees of freedom. The geometric essence of "observational collapse" is that when the microscopic system becomes topologically connected to the macroscopic environment, the introduction of the macroscopic connected domain forcibly triggers a "topological geometric truncation," causing the multi-path coherent phases to be algebraically flattened instantaneously. By deriving the master equation of the discrete network, this paper rigorously presents the dynamical curve of purity (coherence degree) exponentially decaying with coupling strength, completely eliminating the mysticism in the quantum measurement process, and providing a pure geometric first-principles interpretation for decoherence theory.
Author: Luo, Wenjun
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225433152