Frame Interface Operators in Quantum Mechanics and NUVO Theory: Clarifying the Role of Observer-Dependent Structure in Physical Measurement Part 14 of the NUVO Theory Series

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Abstract

In conventional quantum mechanics, measurement and uncertainty are treated as intrinsic aspects of quantum systems, with little attention paid to the geometric structure of the observer’s frame. NUVO theory offers a new interpretation: quantum systems evolve within modulated frames defined by a conformal scalar field λ(t, r, v), while observers typically operate from a distinct reference frame. This paper introduces the concept of frame interface operators—operators that act across the boundary between a system’s internal λ-modulated frame and the observer’s external frame. We identify key operators in standard quantum mechanics that implicitly function at this interface, including the time evolution operator, boost generators, gauge transformations, geometric phase connections, basis transformations, and projective measurements. We show that many quantum phenomena, including the canonical commutator and Heisenberg uncertainty, already reflect inter-frame effects and need no further modification in NUVO. By rigorously distinguishing between frame-internal and frame-interface behavior, NUVO resolves longstanding interpretive ambiguities and establishes a foundation for a covariant operator formalism rooted in geometric modulation. This reinterpretation enables a consistent unification of quantum theory and conformal dynamics, providing new insight into measurement, decoherence, and observer-relative quantum structure.

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