Theory of Seven Operators

This work presents the synthesis and final formalization of author ideas. We demonstrate that the algebraic structure of seven fundamental non-commuting operators acting on a Hilbert space and generated by the topology of the CY 7 ×(S1/Z2) manifold is the primary language of reality. From this structure, not only are all known physical laws and constants derived, but an explanation is also found for the most profound mysteries of mathematics: the nature of the 18 infinite and 26 sporadic finite simple groups. This theory does not add new entities to physics but changes the very ontology, asserting that physics is a projection of mathematics, and mathematics is the language of topological invariants of higher dimensions. The power of this approach lies not in technical predictions but in providing a unified, coherent, and inevitable explanation of the Universe, culminating in an ethical imperative stemming from the very structure of reality.