ADEC, Scrittura Entropica, and Coprimalità Speculare: Formalization, Proofs, and Experimental Verifications

This paper presents a self-contained and complete treatment of three interconnected constructs: the dynamic model ADEC (Autopoietic Dynamic Entropic Clock), the notation Scrittura Entropica (SE, Entropic Writing), and the arithmetic property termed Coprimalità Speculare (CS, Specular Coprimality). Formal definitions, rigorous proofs (in particular: ADEC’s correctness as a prime period generation mechanism and the characterization of the GCD signature for odd prime numbers), and experimental verification through a Python implementation reported in the appendix are provided. The document is self-contained and does not refer to external results; all main assertions are demonstrated directly.