Diffusion Quantum Mechanics
A fluctuating classical background scalar field produces conservative diffusion of a particle ensemble. In the homogeneous limit, ordinary quantum mechanics and quantum statistics are recovered.
How the main CTPA theories and results connect into one sequence: from a physical mechanism for quantum fluctuations to gravity, relativistic quantum time symmetry and finite loop physics at the Planck scale.
A fluctuating classical background scalar field produces conservative diffusion of a particle ensemble. In the homogeneous limit, ordinary quantum mechanics and quantum statistics are recovered.
Matter makes the same background field inhomogeneous. Thermodiffusion produces universal acceleration, while metric, connection and curvature become an effective geometrical description.
Both energy branches E>0 and E<0 are retained, together with full Lorentz symmetry including time inversion and two quantum-state sectors.
As the total physical energy of the particle system approaches the Planck scale, the intermediate state’s own external gravitational field causes gravitational freezing and a physical loop cutoff of order M_P.
Strong-field gravitational freezing is applied to collapse of stars and galactic nuclei, leading to frozars in the CTPA program.
Diffusion Gravity is used to analyze local proper-time rates and to decompose the observed frequency shift.
The Planck-scale gravitational cutoff makes loop contributions finite; below M_P observable parameters are finite combinations of bare quantities and finite corrections.