Adaptive Constraint Cascade(ACC1)_A Unified Framework for the Quantum--Classical Transition
Year: 2026
Type: article
Abstract: We introduce the concept of an Adaptive Constraint Cascade (ACC) as a novel framework for describing the continuous transition between distinct physical theories via a deformation of their underlying constraint structures. In this first case study (ACC_1), we focus on the quantum–classical transition in a double-well potential. Using a single control parameter λ = k_B T / V_barrier, we propose an interpolation equation – a Lindblad-type master equation with a λ-dependent dissipation rate – whose limiting behaviors recover the pure quantum (Schrödinger) and the classical master equation regimes. The ACC framework offers a smooth, contextuality-aware description of emergence without requiring a fixed ontology. This manuscript is the first of three planned works on ACC, with subsequent studies addressing Newtonian–relativistic gravity (ACC_2) and quantum field theory (ACC_3).
Author: Nguyen, Thanh Minh
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7160702357
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