The Axiomatic Foundations of the Chrysene Formalism: Universal Algebraic Geometry, Topological Survival, and the Mandate for Macroscopic Engineering

Abstract

This inaugural editorial introduces the Chrysene Formalism, a pioneering mathematical framework that bridges physical chemistry and pure abstract algebra to establish the absolute geometric laws governing complex systems. By abstracting the 3,6,9,12-tetrasubstituted chrysene molecule into a strictly bounded, discrete non-commutative geometric manifold, we demonstrate how continuous physical spaces resolve metric singularities through exact topological phase transitions and algebraic excision. Furthermore, we reveal that macroscopic structural persistence in maximal-entropy environments is not a statistical anomaly, but a rigid boundary value solution governed by an H_infinity extremal boundary and intrinsically protected by a quaternary Galois field sequence space. Beyond explaining the abiotic emergence of biological sequences, these universal geometric axioms serve as an indestructible mathematical blueprint for high-stakes technological design. By formalizing this architecture, we establish the editorial mandate of the Annals of the Chrysene Formalism: we invite the global academic and engineering community to utilize these non-commutative algebraic invariants to design, contain, and stabilize fault-tolerant macroscopic systems across fields such as Artificial General Intelligence (AGI) containment, post-quantum cryptography, and global finance.