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Φ-Identity: A Unified Measurable Invariant Underlying Energy, Force, and Curvature

Year: 2026

Type: article

Abstract: Primitive Energy Φ is established as a directly measurable invariant identity obtainedfrom observable residuals of classical physical closure relations.It is operationally defined through the measurable deviations:ΦE = E − mc2, ΦF = F − ma, ΦC = robs − rs (1)These residuals satisfy the unified invariant identity:ΦE = ΦF = ΦC = Φ (2)which certifies Φ as a single measurable invariant underlying multiple physical observables.Classical laws emerge as the exact closure condition Φ = 0, while Φ̸ = 0 represents measurablestructural deviation. Numerical certification confirms invariant consistency across distinctobservational faces. Thus, Φ is established as a unified measurable invariant

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.22082395

Author: Khan, Zulfiqar Ali

Language: English

Topic: Relativity and Gravitational Theory

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7204101044

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