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

Official repository for the Modular Substrate Theory (MST). Unifying alpha, H0, e, and zeta(0) via a Z/6Z substrate. Featuring 110-digit precision audits, a 10^-14 exact derivation of the fine-structure constant, and the resolution of the Hubble tension.

A minimal scalar relaxation model for cosmology—no Big Bang, no dark energy, just one slow wave on an eternal lake.

This model studies our universe without negative placeholders. Instead it uses base metric distance and environmental observations as proxies.

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.

Novel cosmological framework unifying dark matter and dark energy through organizational coherence

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