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This work aims to develop a theoretical framework for light-speed invariance and spacetime duality through a unified approach.

June 27, 2026Open Access

The Theory of Phase-Spatial Invariance - A Theorem-Proof Reconstruction of Light-Speed Invariance, the Mass Shell, and Spacetime Duality

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This work aims to develop a theoretical framework for light-speed invariance and spacetime duality through a unified approach.
Developed a theorem-proof reconstruction within the Theory of Phase-Spatial Invariance.
Established closure norm PSOC4(3) based on cyclic phase and spatial-orientation degrees of freedom.
Utilized phase sensitivity and observer transformations to derive Lorentz symmetry and spacetime geometry.
Demonstrated light-speed invariance as a reconstruction of C(K)=0, resulting in E=pc.
Derived mass-energy relation as non-null residue C(K)=(mc/hbar)^2, leading to E^2=p^2c^2+m^2c^4.
Reversed the traditional interpretation of spacetime, framing it as a geometry revealed through phase-spatial invariance.

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Theoretical framework reconstructs light-speed invariance and spacetime duality, indicating new insights into physics.

Philip Lilien (2026) studied this question.

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