Soumendra Nath Thakur | ORCiD: 0000-0003-1871-7803 | 16 December 2025
As per Extended Classical Mechanics (ECM) interpretations, spacetime curvature, as formulated in general relativity, need not be understood as an independent physical cause of gravitational phenomena. Instead, it functions as a mathematical framework that represents the cumulative effects of interactions between mass–energy distributions and propagating systems—such as photons—within spatially varying gravitational field strengths.
From this perspective, the apparent curvature of trajectories arises from momentum exchange governed by the gradient and inverse-square (1/r²) dependence of the gravitational field, reflecting the geometric dispersion of field influence in space. Spacetime curvature therefore serves as a descriptive encoding of these interaction- and phase-related effects, rather than as a direct physical agent producing motion or gravitational attraction.
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