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This paper aims to derive the embedding equation of motion in Absolute Frame Theory, providing significant corrections to the interaction terms.

July 29, 2026Open Access

The Embedding Equation of Motion of Absolute Frame Theory: The Tension as a Nambu–Goto Term and a Regge–Teitelboim Equation with a Routing Source

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Randomized trial derives the embedding equation of motion in absolute frame theory, suggesting corrections to previously open interactions.

This paper aims to derive the embedding equation of motion in Absolute Frame Theory, providing significant corrections to the interaction terms.
Derived the equation of motion under the pullback immersion of the observable manifold.
Restored the Howe–Tucker constant and addressed previously open multiplier relations.
Analyzed the routing source's coherence and reconcilability between two readings of the theory.
Identified the tension term as a mean-curvature force rather than part of the Einstein equation.
Found the routing source decoheres over microscopic lengths, leading to a vanishing galactic mean source.
Closed inherited solution degeneracy on the cosmological background and reconciled two theoretical readings.

Patricio E. Valenzuela (2026) studied this question.

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Randomized trial derives the embedding equation of motion in absolute frame theory, suggesting corrections to previously open interactions.