Modelo de Inferencia Holográfica del Sustrato Computacional: Extensión Matemática del Principio de Clausura

This paper presents a formal mathematical model extending the Substrate Closure Principle through the application of the Holographic Principle from theoretical physics. We demonstrate that, although the ontological substrate is epistemically inaccessible from within the system (as established by the Closure Operator C), it is possible to infer the minimum computational capabilities required and, by extension, to postulate the existence of higher dimensions where the simulation executor resides. The model quantifies the relationship between information contained in the observable volume of the universe and the holographic limit of its surface, deriving estimates of the computational capacity necessary to simulate our reality. We calculate that a substrate capable of simulating our reality at Planck scale would require approximately 10^166 operations per second, and must exist in a space of at least 11 effective dimensions—remarkably consistent with M-theory predictions.