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March 15, 2026Quantum ReportsOpen Access

Proportional Stationarity and Structural Stability in Perturbative Field Theories

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Authors

RCRobert Castro

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Overview

This research reveals invariance as a condition for structural stability in variational systems, highlighting the role of convexity.

Key Points

  • This research aims to establish a stability criterion for physical constants in perturbative field theories.
  • Formulated a structural stability criterion for dimensionless physical constants.
  • Introduced a response-ratio functional based on sensitivity and deformation measures.
  • Analyzed invariance of constants as a stationarity condition in variational settings.
  • Demonstrated that stationary response ratios are isolated solutions under certain conditions.
  • Identified implications of compactness and non-degeneracy on stability outcomes.
  • Discussed potential extensions to models with discretized spacetime.

Cite This Study

Robert Castro (2026) studied this question.

synapsesocial.com/papers/69b6069b83145bc643d1cc15https://doi.org/10.3390/quantum8010023
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