The Formula Genomics and Evolution Theory (FGET) proposes that mathematical formulas are not static abstractions constructed by the human mind to describe a pre-existing reality. Within the FGET framework, formulas are primordial entities whose genomic evolution generates the patterns that constitute physical reality — matter, energy, and the observable laws of physics.

FGET introduces the concept of the mathematical pattern as the constitutive nexus between abstract formulas and empirical phenomena: it is the pattern — not the formula per se — that holds matter in place, keeps the laws of physics in force, and organises energy into stable forms. Finding a formula is therefore not discovery in the classical sense: it is reverse engineering applied to an observable pattern, decomposing its constitutive layers until reaching the primordial functions from which it originated.

The Nested Formula Framework (NFF) is the operational instrument of FGET. Its recursive coefficient-nesting principle implements genomic reverse engineering: each nesting level decomposes one layer of the observable pattern, generating a fully interpretable, traceable hierarchy of equations in which every coefficient has direct physical meaning. The NFF constitutes one of the first formal implementations of explainable AI (xAI) grounded in a genomic mathematical theory.

FGET establishes a formal analogy between biological and mathematical evolution — genome, phenotype, pattern, mutation, recombination, speciation, extinction, convergence, and co-evolution — and operationalises them through the NFF as a genomic microscope. Not as metaphor. As a proposed mechanism.

Its philosophical stance — Evolutionary Platonism / Evolutionary Mathematical Realism — positions FGET as a post-Darwinian ontology of mathematics: objective existence of mathematical structures combined with a dynamic, evolving space of possibilities that grows with human and technological development.