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April 5, 2026Open Access

Deterministic Growth Dynamics of Causal Graphs III: Dynamics and Kinematics

Andrei Okhremenko

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Key Points

The aim is to derive gravitational dynamics from the Coverage Principle without additional assumptions, establishing a basis for classical physics.
Utilized the Coverage Principle in R4 to create Voronoi cells.
Derived the Hilbert–Einstein action in the continuum limit.
Expressed gravitational constant in terms of Planck scale.
Applied diffeomorphism invariance to derive geodesic motion.
Einstein equations derived as stationarity conditions without additional postulates.
Cosmological constant found to vanish at classical level.
Energy-momentum tensor linked to defects in the isostatic configuration.

Implication

Demonstrates the principles of gravity in causal graphs, suggesting foundational insights into classical motion.

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Cite This Study

Andrei Okhremenko (2026) studied this question.

synapsesocial.com/papers/69d49fe5b33cc4c35a22863c https://doi.org/10.5281/zenodo.19431676

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