Open research on finite observer-consistency in physics: Lean-checked theorems and lemmas, reproducible simulations, explicit countermodels, and clearly tracked open physical bridges.

Emergent spacetime geometry from the Dirac phase field — exact N-body solutions, dark matter without new particles, quantum-corrected GR

We propose a minimal dynamical mechanism for the emergence of physical time from an atemporal CPT-invariant vacuum. Using a nonlinear phase equation admitting a stable limit cycle, we interpret time as a time-crystalline phase arising via spontaneous time-translation symmetry breaking, without assuming an external clock.