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March 13, 20260 citationsOpen Access

Dimensional Structural Inertia Law in Information-Dynamic Theory

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ASAleksei Sadovnikov

Key Points

  • This research aims to derive the Dimensional Structural Inertia Law in the context of Information-Dynamic Theory.
  • Derived the Dimensional Structural Inertia Law using the structural inertia framework.
  • Applied relaxation geometry concepts.
  • Analyzed the relationship between effective structural inertia and spatial dimensions.
  • Established that effective structural inertia is defined by the equation m*(d) = C r*² / (2A(4 − d)).
  • Demonstrated that stable structural regimes favor three spatial dimensions.
  • Showed divergence of inertia as spatial dimensions approach four.

Abstract

This paper derives the Dimensional Structural Inertia Law within the Information-Dynamic Theory (IDT). Using the structural inertia framework and relaxation geometry, we show that the effective structural inertia depends on spatial dimension as m*(d) = C r*² / (2A(4 − d)). The result suggests that stable structural regimes naturally select three spatial dimensions due to the divergence of inertia near d → 4. This provides a geometric explanation for dimensional stability in physical reality.

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Cite This Study

Aleksei Sadovnikov (2026) studied this question.

synapsesocial.com/papers/69b3ace502a1e69014cceeebhttps://doi.org/10.5281/zenodo.18949511
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