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This research aims to establish proof obligations related to reflection positivity and spectral gaps within Absolute Frame Theory's Euclidean substratum.

June 13, 2026Open Access

Reflection Positivity and a Matter-Sector Spectral Gap on the Euclidean Substratum of Absolute Frame Theory

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This research aims to establish proof obligations related to reflection positivity and spectral gaps within Absolute Frame Theory's Euclidean substratum.
Isolated the bounded-routing sector of the embedding action as a Gaussian tension term plus a perturbation.
Proved lower-boundedness of the action and reflection positivity jointly as a finite-volume theorem.
Establish parameters for the spectral gap related to normal fluctuations in the embedding's matter sector.
Demonstrated lower-boundedness of the Euclidean action under reflection positivity conditions.
Proved the existence of a strictly positive spectral gap for the linearized Jacobi operator's fluctuations.
Identified the nontrivial content of Absolute Frame Theory in its gauge topology, differentiating it from trivial scalar interactions.

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Implication

Randomized trial examines spectral gaps and positivity in the matter sector of Absolute Frame Theory, suggesting underlying theoretical implications.

Cite This Study

Patricio E. Valenzuela (2026) studied this question.

synapsesocial.com/papers/6a2cf6aefaef96ed7f0585f5 https://doi.org/10.5281/zenodo.20646004

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Implication

Randomized trial examines spectral gaps and positivity in the matter sector of Absolute Frame Theory, suggesting underlying theoretical implications.

Reflection Positivity and a Matter-Sector Spectral Gap on the Euclidean Substratum of Absolute Frame Theory

Key Points

Discussion

Implication

Cite This Study

Reflection Positivity and a Matter-Sector Spectral Gap on the Euclidean Substratum of Absolute Frame Theory

Key Points

Discussion

Implication

Cite This Study