What question did this study set out to answer?

This research aims to derive the full Meta-Tension-Field Equation and investigate its implications for cosmic structure formation.

June 30, 2026Open Access

R-layer Mode Theory (RLMT) LI: Cosmic Tension Field Dynamics and the Unified Origin of Structure Formation

Key Points

This research aims to derive the full Meta-Tension-Field Equation and investigate its implications for cosmic structure formation.
Derivation of the FRW-generalized Meta-Tension-Field Equation (MTFE)
Analysis of the Cosmic Tension Growth Function Go(z) and fluctuation statistics δσ
Establishment of the cosmological reprojection-event rate
Introduced a unified origin for early supermassive black hole seeds and baryonic-flow initialization.
Demonstrated key roles in galaxy angular momentum and early disk/spheroid formation.
Extended and completed the ΛCDM framework for cosmic dynamics.

Abstract

This volume (RLMT) derives the full FRW-generalized Meta-Tension-Field Equation (MTFE) and establishes the cosmological evolution of the tension field σ(ξ,t). Building upon the observational mapping equations introduced in Volume L, we obtain the Cosmic Tension Growth Function Go(z), the fluctuation statistics δσ, and the cosmological reprojection-event rate. These results provide a unified physical origin for early SMBH seeds, baryonic-flow initialization, galaxy angular momentum, early disk/spheroid formation, and large-scale cosmic self-organization. The tension field emerges as a fundamental dynamical component of the Universe, extending and completing the ΛCDM framework. Volume LI forms the theoretical core of the cosmological trilogy (L → LI → LII), establishing the predictive and observationally testable structure of tension-field cosmology.

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