What question did this study set out to answer?

The study investigates the Matter-Originated Spacetime Gradient Model and its implications for galactic dynamics in absence of dark matter.

June 20, 2026Open Access

Matter-Originated Spacetime Gradient Model (MOSGM): A Comparative Analysis with MOND on the SPARC Sample

Key Points

The study investigates the Matter-Originated Spacetime Gradient Model and its implications for galactic dynamics in absence of dark matter.
Utilized the SPARC dataset (v11.x) to validate the core interpolation formula of MOSGM.
Reviewed theoretical contexts including the ER = EPR conjecture and entropic gravity.
Proposed a directional conjecture relating MOSGM's acceleration scale to quantum entanglement.
MOSGM reproduces observed rotation curves without the need for dark matter.
The conjecture MOSGM-QE suggests a potential link between acceleration scale a0 and entanglement density.
The study opens speculative avenues for future research on the structural relationship between spacetime geometry and quantum mechanics.

Abstract

AbstractThe Matter-Originated Spacetime Gradient Model (MOSGM) treats galactic gravitational dynamicsas arising from a matter-sourced spacetime gradient field, reproducing observed rotation curveswithout invoking dark matter. The core interpolation formula gobs = gbar1 + κ(µ(xeff) − 1), with µ(x) =1/(1 − e−x), xeff = √(gbar/a0), and κ = 1/(e−1) ≈ 0.5820, is phenomenological and validated againstthe SPARC dataset (v11.x). This supplementary note does not alter the observational model. Instead, it explores the speculative theoretical territory opened by MOSGM's emergent spacetime premise: specifically, the possible structural relationship between quantum entanglement and the deeper substrate from which spacetime geometry may arise. The ER = EPR conjecture (Maldacena Swingle 2012), and entropic gravity (Verlinde 2016) are reviewed as adjacent theoretical contexts. A directional conjecture (MOSGM-QE) is recorded: that the MOSGM acceleration scale a0 may correspond to a threshold in the entanglement density of the quantum substrate underlying spacetime. This conjecture is explicitly labeled speculative and represents future directions for MOSGM-II (Gradient-Ordered Dynamics), which is currently parked pending MOSGM-I confirmation.

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