Exact Deterministic Blind Prediction of Dynamical Dark Energy Parameters (w0, wa) via the 5D Complex Matrix M Infrastructure
Year: 2026
Type: article
Abstract: 10.5281/zenodo.24066416 The standard Lambda-CDM cosmological framework treats dark energy as an inert cosmological constant with a constant equation-of-state parameter w = -1. However, recent joint cosmological datasets—most notably baryon acoustic oscillation (BAO) measurements from the Dark Energy Spectroscopic Instrument (DESI) 2024–2026 combined with Type Ia supernovae—exhibit growing observational tension with static vacuum energy, favoring dynamical dark energy parameterized by the Chevallier-Polarski-Linder (CPL) relation w(a) = w0 + wa(1 - a) with w0 > -1 and wa < 0. Extending our discrete geometric framework for the cosmological constant problem (DOI: 10.5281/zenodo.23901485) and the 5D cyclic complex matrix M infrastructure, we deduce deterministic closed-form blind predictions for both w0 and wa without free adjustable parameters or retrospective observational fitting. Utilizing the quantum phase saturation threshold PhiC = pi / 4, the non-perturbative dimensionless geometric coupling invariant Daleth = e / (pi * alpha) approx 118.57121760, and the cyclic determinant volume measure |det(M)| approx 0.29867507, we derive: - Current State Parameter: w0 = -1 + (|det(M)| / Daleth) * cos^2(PhiC) = -0.9987405- Dynamical Evolution Gradient: wa = - (1 - |det(M)|) / Daleth = -0.0059148- Vacuum Boundary Perturbation: delta w0 = +0.0012595- Suppression Scale Consistency: rho_Lambda / rho_Pl approx 6.00428e-122 (via Daleth^-58) The positive boundary shift delta w0 = +0.0012595 naturally situates the present vacuum state slightly above the cosmological constant boundary while guaranteeing dynamical stability against phantom divide catastrophes (w < -1). The negative slope wa = -0.0059148 reflects the dynamical phase relaxation of the discrete 5D bulk volume. All analytical derivations are rigorously verified via an independent Python computational audit on ARM64 Linux (Termux). These exact zero-parameter predictions establish definitive falsification benchmarks for upcoming cosmological surveys, including the Euclid space mission and the Vera C. Rubin Observatory (LSST).
Author: Choi, Joon sik
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225634251
FWCI:
Cites:
Cited by:
Related to: