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This work aims to introduce an inverse methodology for generating coherential profiles compatible with tachyonic stability under specified dynamics.

May 20, 2026Open Access

Inverse Construction of Coherential Backgrounds Compatible with Tachyonic Stability

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This work aims to introduce an inverse methodology for generating coherential profiles compatible with tachyonic stability under specified dynamics.
Developed an inverse construction approach for one-dimensional coherential profiles.
Introduced constraints to ensure the kinetic-geometric functional remains non-negative.
Provided a first integral solution and analyzed linear and non-linear branches.
Achieved a closed-form linear bank bound with rho_max ~ 5.94 x 10^3 against natural values.
Demonstrated that the linear bank is optimal within its family, improving upon non-linear branches.
Outlined methodological contributions without asserting astrophysical applicability or global stability.

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Toy benchmark demonstrates inverse construction for coherential profiles, indicating new methodological approaches.

Arturo Cerezo (2026) studied this question.

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