Overview
This article provides a structural reinterpretation of Bell inequality violations. It shows that Bell-type correlations can arise generically from non-injective mappings between underlying configurations and observable outcomes, without invoking superluminal influences, retrocausality, or hidden-variable dynamics.
The analysis is intentionally non-dynamical and focuses on the logical and probabilistic structure of effective descriptions. Violations of Bell inequalities are traced to the failure of probabilistic factorization induced by non-injective projection, rather than to any breakdown of locality at the underlying level.
Core contributions
- Non-injective projection: identification of many-to-one mappings as a sufficient mechanism for Bell violations.
- Failure of factorization: structural obstruction to Bell-type probabilistic assumptions at the effective level.
- Locality preservation: Bell violations without superluminal dynamics or causal nonlocality.
- Effective descriptions: quantum correlations as consistency constraints of projected representations.
- Classical limit: recovery of factorizability when the projection becomes effectively injective.
Conceptual scope
The article does not propose a modification of quantum mechanics, nor does it introduce additional physical degrees of freedom. Its purpose is to isolate a minimal and sufficient structural condition under which Bell inequalities fail, clarifying what Bell-type experiments do and do not constrain about the underlying description.
How this connects to Cosmochrony
Within the Cosmochrony framework, this article addresses the probabilistic and logical consequences of non-injective projection. It complements the spectral and geometric analysis by showing how quantum correlations arise naturally at the effective level when observable descriptions fail to capture the full underlying relational structure.
References
Jérôme Beau. Bell Inequality Violations from Non-Injective Projection. Zenodo. DOI: 10.5281/zenodo.18371173