Total Possibility as Constraint Failure: An Admissibility Critique of Higher-Dimensional Saturation Models

Popular interpretations of higher-dimensional physics often describe a “10th dimension” as a state in which all possible realities, timelines, and outcomes exist simultaneously. While compelling as a conceptual model, this interpretation removes constraint entirely and thereby eliminates the conditions required for admissibility. This paper applies the Paton Admissibility Framework to evaluate such saturation models. It is shown that total possibility corresponds to a collapse of constraint rather than an expansion of physical structure. Without constraint, no state can be evaluated, persisted, or distinguished, and therefore no admissible system can exist. The result is a structural clarification: maximum possibility is equivalent to zero admissibility.