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This research aims to develop a unified operator-based framework that enhances understanding of structural stability in spacetime models.

January 14, 20260 citationsOpen Access

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A Unified Operator-Based Framework for Structural Stability in Spacetime Models Z-Level Structural Stabilization as an Operator-Level Extension (Version 2)

SRSimita Roland

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This research aims to develop a unified operator-based framework that enhances understanding of structural stability in spacetime models.
Introduced a framework integrating stabilization and expansion dynamics
Analyzed interactions across three independent temporal components
Applied tensor formulation consistent with General Relativity
Provided a model explaining structural stability and expansion in spacetime
Integrated mechanisms related to dark-matter and dark-energy properties
Revealed implications for spiral-arm inheritance and cosmological behavior

Abstract

This document presents a unified operator-based spacetime framework combining stabilization (ΔΦ), expansion (ΔΨ), and genetic/informational (G) dynamics across three independent temporal components (t₁, t₂, t₃). The model extends General Relativity by introducing field-level stabilization–expansion interactions, information-driven structure inheritance, and a multi-time tensor formulation. The final equation integrates these mechanisms into a single, tensor-consistent law capable of explaining dark-matter-like behavior, dark-energy-like expansion, spiral-arm inheritance, perimeter-field dynamics, and large-scale cosmological stability.

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A Unified Operator-Based Framework for Structural Stability in Spacetime Models Z-Level Structural Stabilization as an Operator-Level Extension (Version 2)

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