OPH is an active research program aiming to construct a fundamental theory of physics from observer consistency.

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

Technical framework unifying Barbour’s timeless cosmology with CPT-symmetric Siamese phase dynamics. Shows time emerging from a stability threshold (mφ,crit≈1.965) derived from nonlinear ODE scans. Repository includes full translations: English, Spanish, Russian, Chinese.

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.

A Constructive Formalization of Discrete Entanglement-Geometry Duality in Cubical Agda

Model quantum gravity by deriving spacetime geometry algebraically from a dimensionless phase field based on Dirac spinor theory.