# Spacetime Formation under Requirements: Contextual Realization and Form-Dependent Probability

arXiv: https://arxiv.org/abs/2605.23943 · HTML: https://mlsanity.com/paper/2605.23943/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 4 of its 18 references that are in the map.
- First posted on arXiv 1 May 2026.

## Builds on (most cited first, 4 of 4)

- [Contextual Probability and Operational Minimality in Tug-of-War Decision Making](https://mlsanity.com/paper/2601.10034/) (2026)
- [Contextuality as an External Bookkeeping Cost under Fixed Shared-State Semantics](https://mlsanity.com/paper/2601.20167/) (2026)
- [Quantum-like Coherence Derived from the Interaction between Chemical Reaction and Its Environment](https://mlsanity.com/paper/2509.01021/) (2025)
- [Contextual Information Allocation in Shared-State Cognitive Models: An Information-Theoretic Bound](https://mlsanity.com/paper/2602.16716/) (2026)

## Abstract (arXiv)

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.