A Unified Framework for Quantum Behavior, Curvature, and Matter Formation

Abstract

We present a unified theoretical framework in which quantum behavior, curvature, and matter formation emerge from the microscopic mode structure of the R-layer. The fundamental degree of freedom is a binary mode variable σ(x) ∈ {+1, −1}, whose expectation value φ(x) encodes the local imbalance between two pre-physical mode orientations: the Matter Unknown Particle (MUP, +1) and the Antimatter Unknown Particle (AUP, −1). From this single field we derive an effective potential, tunneling dynamics, and a curvature term R[gμν(φ)] that collectively reproduce the phenomenology of quantum fluctuations, gravitational response, and the formation of stable matter structures. The theory provides a geometric interpretation of quantum tunneling, explains the origin of chirality in weak interactions, and offers a mechanism for early-universe asymmetry through mode-domain formation. Unified Mode Theory therefore provides a coherent microscopic origin for the hierarchy of physical phenomena across quantum, gravitational, and cosmological scales.

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