What does this research mean for the field?

Stable structural regimes naturally select three spatial dimensions due to the divergence of inertia near d → 4. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.ESTABLISHES_NEW_DIRECTION.

What question did this study set out to answer?

This research aims to derive the Dimensional Structural Inertia Law in the context of Information-Dynamic Theory.

March 13, 2026Open Access

Dimensional Structural Inertia Law in Information-Dynamic Theory

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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Aleksei Sadovnikov

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Dimensional Structural Inertia Law in Information-Dynamic Theory

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