Pascal Fichant

The Topological Invariance Principle: Exact Spatial Flatness and the Spin–Torsion Link: an Open Problem in Einstein–Cartan Cosmology

Standard cosmology treats the observed spatial flatness of the Universe (Ω_K ≃ 0) as an observational coincidence, to be explained dynamically by inflation. We adopt a different stance and state it as a postulate: spatial flatness is exact, Ω_K ≡ 0, as a topological property of s...

Foundation I: The Metric Universe - Extended Version

We investigate a minimal cosmological extension of General Relativity based on the Einstein-Cartan-Kibble-Sciama (ECKS) framework. A primordial spin component — with stiff equation of state w=1, geometrically distinct from scalar kination — induces a transient phase reducing the...