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The research aims to complete the mathematical framework of looking-glass relativity by addressing orientation-gauge geometry and gravitational interactions.

August 11, 2026Open Access

Looking-Glass Relativity: Orientation-Gauge Geometry and a Symmetric Extension of the Equivalence Principle

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The research aims to complete the mathematical framework of looking-glass relativity by addressing orientation-gauge geometry and gravitational interactions.
Analyzed the analytic Kerr continuation across a central disk to yield two asymptotic mass descriptions.
Developed a local nonlinear projected variational principle and examined Bianchi identities.
Rederived interaction classes and established conditions for metric symmetry and gravitational source terms.
Proved a single Lorentzian metric cannot sustain two distinct geodesic free-fall structures.
Established that opposite gravitational source terms require specific conditions yet can coexist within the framework.
Demonstrated that the weak-field limit accurately reproduces interaction laws for various mixtures.

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Randomized trial explores gravitational source interactions in spacetime, suggesting a new metric framework.

Cite This Study

Sabbir Rahman (2026) studied this question.

synapsesocial.com/papers/6a7ace3e3401087f2249e2c3 https://doi.org/10.5281/zenodo.21864550

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Looking-Glass Relativity: Orientation-Gauge Geometry and a Symmetric Extension of the Equivalence Principle

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Cite This Study

Looking-Glass Relativity: Orientation-Gauge Geometry and a Symmetric Extension of the Equivalence Principle

Key Points

Discussion

Implication

Cite This Study

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