Aller directement au contenu principal

Rédiger un PREreview

Quantization from First Principles: The Structural Origin of ℏ and Spin from Phase Topology

Publié
Serveur de preprints
Preprints.org
DOI
10.20944/preprints202507.2668.v2

Planck’s constant h has long been introduced axiomatically in quantum mechanics, with its numerical value fixed empirically. Yet its structural necessity and intrinsic relation to the topology of phase space remain unresolved. In this work we develop a phase-ontological framework — the Omega-model — in which monodromy provides the fundamental mechanism of quantization. The structural chain is established as: Topology → Monodromy → Quantization Rules → h as universal coherence threshold.Within this perspective, h is not derived as a numerical constant but identified as a universal unit of minimal coherent action that calibrates the model’s internal parameters. This formulation yields a unified topological explanation for (i) the inevitability of quantized action and (ii) the dichotomy of bosonic versus fermionic statistics, interpreted as trivial and nontrivial monodromy, respectively. Consistency of the coherence criterion with foundational quantum experiments and even recent high-energy anomalies demonstrates that the Omega-model offers a coherent bridge between topology, phase coherence, and the structural foundations of quantum theory.

Vous pouvez rédiger un PREreview de Quantization from First Principles: The Structural Origin of ℏ and Spin from Phase Topology. Un PREreview est une évaluation d'un preprint et peut varier de quelques phrases à un rapport détaillé, semblable à un rapport d'évaluation par les pairs organisé par une revue.

Avant de commencer

Nous vous demanderons de vous connecter avec votre identifiant ORCID iD. Si vous n'en avez pas, vous pouvez en créer un.

Qu’est-ce qu’un ORCID iD ?

Un ORCID iD est un identifiant unique qui vous distingue de toute personne ayant le même nom ou nom similaire.

Commencer maintenant