What does this research mean for the field?

MUT v5.8.6 provides a unified framework for understanding mass, electromagnetism, and gravitation without the need for dark matter. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.ESTABLISHES_NEW_DIRECTION.

What question did this study set out to answer?

This research aims to present a new framework for understanding fundamental constants and forces through an effective scalar field.

February 16, 2026Open Access

MUT v5.8.6: Effective Background Scalar Field Formulation and Derived Constants

Key Points

This research aims to present a new framework for understanding fundamental constants and forces through an effective scalar field.
Developed a comprehensive formulation of the Effective Background Scalar Field framework.
Incorporated atomic, gravitational, and galactic-scale derivations without invoking dark matter.
Computed key constants from a uniform scalar field substrate.
Unified calculation of the Fine-structure constant, geometric phase factor, and Newtonian gravitational constant.
Demonstrated atomic-level resonance and field impedance alignment.
Modeled galactic rotation effectively under this new framework.

Abstract

MUT v5.8.6 presents a comprehensive formulation of the Effective Background Scalar Field (ΦA) framework, extending previous versions by incorporating atomic, gravitational, and galactic-scale derivations. This standalone supplement unifies the deterministic computation of the Fine-structure constant (α), the geometric phase factor (ξ), and the Newtonian gravitational constant (G) from a single scalar field substrate. The work demonstrates atomic-level resonance, field impedance alignment, and galactic rotation modeling without invoking dark matter. MUT v5.8.6 establishes a dimensionally consistent, mathematically rigorous, and physically unified framework for mass, electromagnetism, and gravitation, fully compatible with field-theoretic and quantum considerations.

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