The Quantum Modulation Hypothesis: A Unified Framework of Structured Randomness

This work introduces the Quantum Modulation Hypothesis (QMH), a theoretical framework in which quantum probabilities arise from locally structured modulation rather than fundamental indeterminacy. A tensor–valued modulation field Mμν(x) is coupled to the quantum state and to the spacetime metric, allowing quantum mechanics and general relativity to be linked through a unified probabilistic structure.
The framework is mathematically formulated, perturbatively expanded, and connected to cosmological structure formation. The theory provides concrete, falsifiable predictions regarding primordial black hole abundance, early supermassive black hole growth, modifications to rotation curves and lensing profiles, and possible signatures in the primordial power spectrum P(k).
Both “moderate” and “ambitious” versions of QMH are presented, each with distinct observational consequences. This work outlines how QMH can be constrained or validated through CMB measurements, atomic clock tests, GAIA rotation curves, JWST high-redshift SMBH statistics, and other precision observations.