Emergent Gravity Project

Emergent Gravitational Response from Structural Constraints

Companion site for the paper by Mário Filipe Dias, presenting the core idea, the observational motivation, data references, methodological notes, figures, and downloadable project materials.

Read the paper Data and methods Reproducibility Downloads

The paper

Title:
Emergent Gravitational Response from Structural Constraints: A Toy Model with Observational Signatures in Galaxy Rotation Curves

This work proposes a phenomenological framework in which the effective gravitational response is described through an inferred compressibility profile, κ(r). Using SPARC rotation curve data, the analysis suggests that these profiles do not follow a single universal law, but instead organize into a small number of distinct morphological classes.

The paper does not claim a closed fundamental theory. Its focus is instead on identifying structured observational signatures, exploring whether the dynamical discrepancy may reflect radial organization and regime transitions rather than only an additional matter component or a universal correction law.

Author Mário Filipe Dias
Current PDF emergent_gravity_v14.pdf
Main focus Galaxy rotation curves, baryonic structure, dynamical discrepancy
Interpretive angle Structured radial regimes rather than a universal law

Project summary

The central question explored here is whether the dynamical discrepancy seen in galaxy rotation curves may encode structured radial organization rather than only an additional mass component or a universal modification law.

The operational quantity used throughout the analysis is the inferred compressibility profile, defined from baryonic and observed rotation contributions. The resulting profiles were examined across the SPARC sample and compared against simple radial, local structural, and non-local structural hypotheses.

A central empirical result is that the profiles appear to organize into a small number of distinct classes, suggesting that the discrepancy may be structured rather than stochastic.

A full description of the reconstruction pipeline is available in the reproducibility page.

This website is intended as a companion and transparency page for the paper. It supports access to versions, downloads, and methodological context, but does not replace the primary external datasets used in the analysis.

Data and methods

Primary data source

The galaxy rotation-curve analysis is based on the SPARC dataset (Spitzer Photometry and Accurate Rotation Curves).

Operational definition

The inferred compressibility profile is defined as:

κ(r) = Vbar²(r) / Vobs²(r)

Method overview

  • Reconstruct baryonic support from gas, disk, and bulge contributions.
  • Build radial profiles of κ(r).
  • Identify strong radial transitions.
  • Test simple functional hypotheses.
  • Compare the resulting profiles across the sample.
  • Classify the profiles into representative morphological regimes.

Interpretive stance

The work is exploratory and phenomenological. The emphasis is on identifying structured observational signatures rather than claiming a complete fundamental theory.