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The Poincaré–Perelman_NMSI_π* Framework -Z_phase_tranzition, Falsifiable Alternative to ΛCDM

Author:

Lazarev, Sergiu Vasili

Category:

Research Papers

Sub-Category:

Cosmology

Language:

English

Date Published:

November 13, 2025

File:

/Research Papers-Cosmology/Download/10366

Downloads:

Keywords:

Cosmology; ΛCDM; Dark Matter; Dark Energy; Black Holes; Ricci Flow; Poincaré Conjecture; Subquantum Mechanics; Oscillatory Universe; π* Operator; Z-Coefficient; Falsifiability; DESI; Euclid; Roman Space Telescope; CMB-S4

Abstract:

We present the Poincaré–Perelman_NMSI_π* framework as a rigorous and falsifiable alternative to the standard ΛCDM cosmological model. Building on four foundational elements — Poincaré’s conjecture, Perelman’s proof via Ricci flow, the New Subquantum Informational Mechanics (NMSI), and the cyclic operator π* — the framework resolves the major paradoxes of modern cosmology: dark matter, dark energy, and black hole singularities. Dark matter is reinterpreted as the antiphase complement of baryonic matter; black holes emerge as stable oscillatory inversions, not singularities; and cosmic acceleration is explained by phase resonance rather than dark energy. The π* operator redefines the redshift coefficient Z as a phase transition index, eliminating the need for an expanding universe and instead framing it as a cyclic oscillatory system. The model provides explicit, falsifiable predictions: oscillatory residuals in Type Ia supernovae (Δμ ≈ 0.01–0.02 mag), a 3–6% suppression in S₈, differential growth rates between ELG and LRG samples, and specific CMB and BAO residuals. All predictions can be tested with ongoing and upcoming surveys including DESI, Euclid, Roman, Rubin, Simons Observatory, and CMB-S4. This work offers a falsifiable pathway beyond ΛCDM, grounded in mathematical topology, oscillatory physics, and open empirical validation.

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