The Entropic Singularity: Collapse of Classical Logic by ψ–Hamzah.

All Articles are Available: Orcid ID: https://orcid.org/my-orcid?orcid=0009-0009-3175-8563 Science Open ID: https://www.scienceopen.com/user/2c98a8bc-b8bb-49b3-9c91-2f2986a7e16e .................................................................................................................................................................................................. This paper introduces a revolutionary theoretical model wherein classical binary logic collapses under the influence of ψ–Hamzah’s fractal consciousness fields, giving rise to a novel formulation of non-deterministic, entropic logic. Employing fractional calculus and fractal topology, logical operators are redefined such that truth values emerge as continuous, observer-dependent spectra rather than fixed binaries. This entropic logic formalism encapsulates uncertainty and paradoxes that arise within consciousness-driven cognition. Numerical simulations substantiate the breakdown of classical tautologies and the emergence of ψ–logical structures with enhanced representational capacity.