Quantum Mechanics with Constraints

H Jensen, Heinz Koppe

DOMENICO PICCA

Т. В. Ласукова, В. В. Ласуков, M. O. Abdrashitova

Abstract The paper presents the study of quantum mechanics of a free particle with the constraints in the phase space, the canonical equations, which are the geometrical constraints of Friedmann type. It has been proved that the constraints can imitate force. As well as in quantum geometrodynamics with Logunov constraints, in quantum mechanics with constraints time does not vanish

Jincheng Zhang

This paper explores the application of quantum geometry models to address complex geometric constraints. We propose a novel mechanism centered around quantum entanglement and self-adaptive quantum systems to overcome limitations inherent in traditional geometric constraint solvers. The core claim is that this approach, utilizing quantum mechanics, provides a robust and efficient solution to problems where geometric constraints are inherently non-linear and require intricate manipulation of quantum states. This work demonstrates the potential of quantum geometry to unlock new possibilities in geometric modeling and constraint satisfaction.

Steven K. Blau

Denis Bailey

This paper develops a relational framework that reinterprets quantum mechanics as the behavior of a continuous generative field governed by the propagation and resolution of orientation under constraint. In this account, superposition reflects unresolved constraint geometry, collapse arises when constraint stabilizes and forces coherence to resolve, tunneling emerges from the propagation of constrained orientation through regions of elevated constraint density, and entanglement results from shared constraint boundaries that enforce joint coherence resolution across separation. Probability is reframed as coherence‑weighting across unresolved resolution paths, and the classical limit appears when constraint geometry becomes sufficiently stable to produce deterministic updates. The wavefunction is interpreted as a mathematical encoding of coherence across constraint geometry rather than a physical object or epistemic state. This unified mechanism dissolves the conceptual divides between classical, quantum, electromagnetic, and energetic behavior, situating all physical phenomena within a single operator framework grounded in the continuous structure of the relational field. The result is a coherent, mechanism‑level redefinition of quantum mechanics that integrates its core phenomena without invoking discontinuities, intrinsic randomness, or dual ontologies.