Diffusion Quantum Mechanics
Diffusion Quantum Mechanics (DQM) treats quantum fluctuations as the dynamical effect of a fluctuating classical background scalar field on an ensemble of particles. The diffusion is conservative rather than dissipative. In the homogeneous-field limit, the construction reproduces ordinary quantum mechanics and quantum statistics.
Background scalar fieldThe fluctuating background field is the medium responsible for the stochastic component of motion.
Conservative diffusionDiffusion does not represent ordinary dissipative Brownian motion; the dynamics preserve the quantum-like structure.
Quantum mechanics as a limitFor a homogeneous background field, the equations reproduce the standard quantum description.
Quantum statisticsThe framework is intended to reproduce quantum-statistical behavior as well.
Bridge to gravityMatter-induced inhomogeneity of the same background field leads to Diffusion Gravity.
SIGNIFICANCE
For the scientific picture of the world, the significance is conceptual: one postulated quantum-fluctuation background is used as the starting point, while gravitation is then derived from its inhomogeneity rather than introduced as an independent fundamental interaction.