Formal Method for Deriving the S Matrix From the Geometry of the System – True Framework
Year: 2026
Type: preprint
Abstract: Author's note (August 2026): Methodological revisions are currently underway regarding the exact derivation of the S-matrix coefficients and the treatment of non-symmetric quadratic forms. The results presented in this version should be considered exploratory. We present a formal method for deriving the coupling matrix S of a dynamical system from its geometry alone, without free parameters. This method is part of the TRUE framework, where every system is a configuration of the K field. The matrix S is a coupling operator between the degrees of freedom of the system. It is read from the geometry, not fitted to data. The method is validated on six classes of quantum critical materials, with deviations below 5% (except for frustrated systems). It is applicable to any dynamical system whose geometry is known or measurable, whether physical, biological, or geophysical. The proposed formalism eliminates all adjustable parameters and makes the TRUE reading fully predictive. An application to the shoot apical meristem is presented as a case study.
Author: Febba, Michel
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7203685713
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