Mathematical Physics

    

Principium Geometricum IV (PG4): From Emergent Gravity to the Unification of Space, Time, and Information

Authors: Pedro A. Kubitschek Homem de Carvalho

We present the derivation of the inverse-square law and the acceleration of gravity g from the Geometric Principle (GP). Space is treated as a mesh of minimal areas A_P, whose rigidity is regulated by alpha_U = k_e A_P. The derivation shows that g emerges naturally and reproduces the value measured at the Earth's surface. The generalization to two bodies leads to an emergent form of the gravitational constant G.

Comments: 17 Pages. In Portuguese (Note by viXra Admin: All entries on the Submission Form should be English)

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[v1] 2025-08-20 21:24:22

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