The SQR 3.2 model formalizes physical reality as a fibered topological field over an octonionic algebra with an intrinsic topological time parameter. Spacetime geometry is not assumed as fundamental but emerges as a correlator projection of the topological field. The framework unifies particle spectra, dimensional dynamics, cosmological duality, quantum nonlocality, and proposes a resonance-based definition of consciousness. The theory is explicitly formulated in operator language and provides clear falsifiability criteria.