Spacetime Formation under Requirements: Contextual Realization and Form-Dependent Probability
For researchers in quantum cognition and foundations of probability, this offers a new conceptual framework that derives quantum-like behavior from classical constraints, but it is largely theoretical with no empirical validation or quantitative results.
The paper proposes that quantum probability arises as a fixed-spacetime projection of contextual spacetime formation under finite-state requirements, reinterpreting order effects and contextuality without assuming quantum probability as fundamental. It shows that when requirements like finite representational capacity cannot be realized in a single Boolean structure, the mismatch appears as noncommutativity and interference.
Quantum cognition often explains order effects, contextuality, and violations of the law of total probability by replacing classical probability with quantum probability on a fixed event structure. This paper proposes a different interpretation: quantum probability is the fixed-spacetime projection of contextual spacetime formation under finite-state requirements. The framework begins not with time, space, objects, or probabilities, but with requirements such as finite representational capacity, single-state semantic stability, context-sensitive intervention, avoidance of explicit context labels, coherent world-formation, and intersubjective transformability. When these requirements cannot be realized within a single global Boolean event structure, the mismatch appears, under fixed-spacetime projection, as noncommutativity, interference, and quantum-like probability. Building on prior single-state approaches to contextuality, we reinterpret classical contextual bookkeeping cost as the fixed-spacetime shadow of contextual spacetime formation. Auxiliary memory or context labels in a classical representation correspond, in this account, to holonomy-like mismatch among locally Boolean logic-worlds. The interference term is the cross term generated when locally classical realization contributions are nontrivially glued and projected back into a fixed classical spacetime form. The result is a transcendental-operational realist account: objecthood, eventhood, probability, and spacetime are treated as forms of realization under requirements, while objectivity is defined by invariants preserved across observer- and history-dependent spacetime formations.