Scientific theories with hidden variables are now being labeled as mathematically invalid.
April 20, 2026
Original Paper
Admissible Mathematics and Physical Reality: Detectability, Closure, and the Exclusion of Hidden-Defect Theories
SSRN · 6598571
The Takeaway
Many theories in physics use hidden distinctions to explain complex phenomena that we cannot directly see. This no-go theorem states that such theories are inadmissible because they fail the test of formal detectability. A theory must be structurally complete and its elements must be observable to be considered a true representation of reality. This acts as a universal filter that could potentially disqualify several popular interpretations of quantum mechanics. It demands that physics move away from abstract guesses and back toward strictly detectable geometry. This work provides a new set of rules for what counts as a legitimate scientific explanation.
From the abstract
This paper develops a general criterion of admissibility for mathematical and physical frameworks, formalized through the notion of Complete Detectable Spacetime Geometry (CDSG). The central problem addressed is the absence of a structural condition distinguishing frameworks that are merely formally coherent from those that are admissible as final descriptions. To resolve this, detectable structures are defined via configuration spaces, probe algebras, and response maps, and hidden defects are i