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Measurement without Collapse: Projection, Reduction, and Effective Outcomes in Quantum Theory
The measurement problem is commonly taken to indicate a fundamental conflict between the linear, unitary dynamics of quantum mechanics and the definite outcomes observed in measurement processes. Standard responses typically resolve this tension by modifying the dynamics, enriching the ontology, or revising the interpretation of the quantum state. In this paper, we analyze the measurement problem from a projection-based perspective in which quantum evolution and measurement outcomes are associated with ontologically distinct effective descriptions, defined by incompatible invariance requirements. Within this framework, quantum mechanics is characterized by unitary invariance and coherent superposition, whereas measurement records are defined by definiteness, stability, and reproducibility. The measurement problem arises when these distinct projection structures are implicitly identified or required to coexist within a single effective description. By analyzing measurement as a transition between such projections, we show that the appearance of wavefunction collapse does not require a physical dynamical process. Instead, collapse emerges as a necessary structural consequence of projecting a quantum description onto a measurement domain that enforces different invariance constraints. This account preserves the formal structure and empirical success of quantum mechanics while motivating a restrained ontological reading of its elements. More broadly, the analysis situates the measurement problem within a general pattern in which foundational paradoxes arise at the boundaries between effective descriptions. In this sense, the resolution proposed here does not introduce new physics, but clarifies the ontological scope and limits of quantum-mechanical description.
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