Abstract: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.
| Comments: | 19 pages, 1 figure |
| Subjects: | Artificial Intelligence (cs.AI); History and Philosophy of Physics (physics.hist-ph); Quantum Physics (quant-ph) |
| Cite as: | arXiv:2605.23943 [cs.AI] |
| (or arXiv:2605.23943v1 [cs.AI] for this version) | |
| https://doi.org/10.48550/arXiv.2605.23943 arXiv-issued DOI via DataCite |
From: Song-Ju Kim Dr. [view email]
[v1]
Fri, 1 May 2026 23:39:57 UTC (20 KB)
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