What question did this study set out to answer?

To derive the gravitational interpolating function from first principles and establish its necessity in galactic dynamics.

January 25, 2026Open Access

Distributed Field Processing: The Gravitational Constitutive Law (No Dark Matter Required)

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To derive the gravitational interpolating function from first principles and establish its necessity in galactic dynamics.
Derive the function μ(x) = x/(1+x) using closure constraints and theoretical principles.
Establish the 1PN metric and its implications for gravitational lensing through operational calibration.
Analyze the misinterpretation of dark matter as an operator residual rather than a physical substance.
Prove that μ(x) is uniquely determined with no free parameters from closure constraints.
Demonstrate the equivalence of the gravitational potential Φ and the scalar potential Ψ.
Provide falsifiable predictions about galactic behavior that can be tested through observations.

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Theoretical work derives a critical gravitational law in astrophysics, challenging long-held notions of dark matter.

Nelson Stephen (2021) studied this question.

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