title: Scroll Gravity: Balance Theory and Observational Validation (Version 2)
title: The Scroll Theory
titleType: AlternativeTitle
Creators: name: khaled feqaish
Publisher: name: Zenodo
Year: 2025
Subjects: Cosmic Web Dynamics
Galactic Dynamics
Gravitational Dynamics
Non-Equilibrium Dynamics
Angular Momentum Dynamics
Dark Matter Alternatives
Entropic Gravity

description: The  Balance Theory is a novel framework that unifies galactic dynamics with cosmic web alignment through an entropy-curvature coupling mechanism. It posits that galaxies are open systems dynamically linked to their cosmic environment, with their rotation curves and spin orientations governed by two key components:





Scroll Potential: A geometric term, ϕ(r)=φ0(rλc)2e−r/λcϕ(r)=φ0(λcr)2e−r/λc, acting as an effective gravitational potential to explain flat rotation curves without invoking dark matter.




Entropy-Curvature Coupling: A term (ΓΓ) encoding environmental entropy, which mediates angular momentum exchange between galaxies and cosmic filaments.



The theory predicts a layered scroll geometry for galaxy halos, where concentric layers align with filaments, enabling torque-driven spin alignment. Validation includes:





Spin-Filament Alignment: 3D kinematic analysis of MaNGA galaxies in SDSS filaments, showing late-type spirals align with filaments, while S0s exhibit perpendicular spins.




Rotation Curve Fits: Successful modeling of SPARC galaxies (85% improved fits) with scroll parameters (λc∼5–10λc∼5–10 kpc, φ0φ0) correlating with HI asymmetry.




Void Galaxy Tests: Residual alignment signals in low-density environments, suggesting primordial spin-filament coupling.




Simulation Consistency: Matches IllustrisTNG’s mass-dependent spin-flip trends, reframing ΛΛCDM alignment as entropy-mediated effects.



This work bridges galaxy-scale kinematics and cosmic-scale structure, offering an alternative to dark matter by attributing dynamics to the interplay of geometry and cosmic web entropy. Data and code are provided for reproducibility, including SPARC rotation curve fits, MaNGA alignment metrics, and simulation comparisons.
description:  



Scroll Gravity: Balance Theory and Observational Validation (Version 2)

This Version 2 update expands the Balance Theory of scroll gravity by incorporating observational validation using 175 disk galaxies from the SPARC catalog. The theory proposes that galactic rotation curves arise not from dark matter, but from entropy gradients in the cosmic web that generate a scroll-like potential.

Key results in this release include:• A statistically significant anti-correlation between scroll length λc\lambda_c and filament proximity dfild_{\text{fil}} (Pearson r=−0.33r = -0.33, p=0.002p = 0.002).• A positive correlation between potential depth ϕ0\phi_0 and HI gas fraction fHIf_{\rm HI} (Spearman ρ=+0.35\rho = +0.35, p≈0.003p \approx 0.003).• MCMC-derived parameter estimates with full posterior distributions for each galaxy.

Compared to Version 1, this update features:• Enhanced data processing (MCMC, filtering by quality)• New figures and result tables• Reproducible code and access to full datasets

Zenodo Version 1: https://doi.org/10.5281/zenodo.15172558

This work provides an observational foundation for scroll gravity and proposes falsifiable predictions relevant to future surveys (JWST, LSST, Euclid).