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

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 = gbar[1 + 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 & Susskind 2013), emergent geometry frameworks (Van Raamsdonk 2010; 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.