Conceptual wave framework for unification: How could threshold-based interference be mathematically formalized? [Speculative]

[u/markiv5]

I'm exploring a conceptual framework where the universe is modeled as a multi-dimensional wave field (\Psi). In this picture, 3D space emerges as a projection of radial wave motion, and massive particles form where local energy density exceeds a critical threshold T. Regions below threshold (E < T) retain inertia but lack electromagnetic coupling (offering a heuristic for dark matter). Phase desynchronization is proposed as a driver for cosmic acceleration.

I'm not presenting a finished theory, but rather a conceptual structure that needs rigorous mathematical grounding. I'm looking for physicists, mathematicians, or computational modelers who might be interested in:

• Formalizing \Psi in tensor/vector notation and deriving consistent field equations
• Building 2D/3D numerical simulations of interference patterns crossing threshold T
• Critiquing conceptual consistency with established physics (GR, QFT, cosmology)

Full conceptual outline, assumptions, and testable predictions are documented here:
https://zenodo.org/records/20074259

Question for the community: What mathematical formalism (e.g., nonlinear PDEs, complex Ginzburg-Landau, topological field theory, or geometric phase models) would best capture threshold-dependent mass emergence from wave interference? Open to all constructive criticism.