Reality as Constrained Actualization: A Philosophical Convergence between Classical and Quantum Physics
David (Daoud) Matta
Abstract
Classical and quantum physics are standardly contrasted through continuity versus discreteness, determinism versus probability, and definite properties versus measurement-dependent outcomes. This paper argues that beneath these real differences lies a deeper philosophical convergence: both theories rely on mathematical spaces of possibility that must not be confused with reality itself. Classical mechanics describes continuous ranges of possible trajectories, yet actualizes only one constrained path under given causes and conditions. Quantum mechanics describes structured possibilities through states, operators, eigenstates, and eigenvalues, yet these are not realities existing in advance but formal expressions of what may become definite under a physical context of measurement. The paper makes three contributions. First, it develops the concept of constrained actualization as a single modal grammar spanning both theories: reality is neither the free unfolding of all possibilities nor the mere execution of mathematics, but the actualization of what constraints permit. Second, it constructs an eigenvalue bridge from macroscopic to quantum systems: strings, membranes, and engineered structures exhibit constrained eigenmodes, and the decisive difference is that classical eigenmodes reveal the constrained forms of motion, while quantum eigenstates reveal the constrained forms of definite physical answer. Third, it situates the model against Heisenbergian potentia realism, propensity interpretations, dispositionalist metaphysics, and structural realism, showing it to be ontologically more minimal, relational rather than property-based, situational rather than essentialist, and event-preserving, while its compatibility with decoherence and its support from the Kochen–Specker theorem are made explicit. Quantum mechanics, on this account, radicalizes an insight classical mechanics conceals: constraint operates within the very structure of possible outcomes.