Field Resonance Theory (FRT): Möbius Quantum Geometry (MQG) as a Topological Foundation of Physics

This is the formal mathematical paper and develops a post-linear theoretical framework in which physical law is derived from topological and variational first principles, rather than inferred from measurement. The Möbius–Klein formalism encodes coherence-preserving dynamics within non-orientable geometric structures, leading to a unified treatment of quantization, conservation, and emergent asymmetry. Central to the theory is a coherence conservation law that replaces classical point dynamics and allows the derivation of quantum-like phenomena, matter–antimatter asymmetry, and black hole regularity without singularities. The model introduces a field-based interpretation of agency as local selection within conservation constraints, offering a bridge between physics, cognition, and epistemology. This work positions coherence—not measurement—as the fundamental invariant, and proposes a shift from representational to resonance-based scientific ontology.