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The aim is to extend information-geometric models to enhance understanding of physical laws through variational principles.

February 28, 2026MathematicsOpen Access

Information-Geometric Models in Data Analysis and Physics II

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The aim is to extend information-geometric models to enhance understanding of physical laws through variational principles.
Developed information-geometric models using variational structures.
Utilized extended metrics to clarify dynamical equations in physics.
Focused on interpreting physical laws via information optimization.
Established connections between variational problems and physical laws.
Showed that fundamental physical problems can be modeled as constrained variational problems.
Clarified the geometric basis for dynamics in statistical contexts.

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Continued exploration of variational principles in information geometry for understanding physical laws.

Bernal-Casas et al. (2026) studied this question.

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