Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ ZENODOarrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
ZENODO
Other literature type . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Project proposal . 2025
License: CC BY
Data sources: Datacite
ZENODO
Project proposal . 2025
License: CC BY
Data sources: Datacite
versions View all 2 versions
addClaim

The Dynamical Mass Discrepancy as a Function of Baryonic Compactness

Authors: Etheon;

The Dynamical Mass Discrepancy as a Function of Baryonic Compactness

Abstract

We present a strictly empirical analysis of the dynamical mass discrepancy as a function of baryonic compactness, treating the discrepancy as an effective, state-dependent response to baryonic boundary conditions. Our compactness proxy is closely related (up to geometric factors and $G$) to an aperture-averaged baryonic acceleration, and therefore connects naturally to the family of mass-discrepancy acceleration relations. We construct a unified and reproducible dataset spanning four galaxy regimes with strictly aperture-matched measurements: SPARC rotation-supported spirals (outer disk, $R=R_{\max}$;), LITTLE THINGS dwarf irregulars ($R=R_{\max}$;), SLACS strong-lens early-type galaxies (within the Einstein radius $R=R_{\rm Ein}$;), and MaNGA galaxies with Jeans Anisotropic Modeling (JAM) masses within one effective radius ($R=R_e$;). For each system, baryonic and dynamical masses are defined within the same physical aperture, and we introduce a minimal baryonic compactness proxy,\begin{equation}\Sigma \equiv \frac{M_b}{\pi R^2}.\label{eq:Sigma}\end{equation} While the extensive excess mass $M_{\rm dyn}-M_b$ is physically transparent, comparisons across heterogeneous mass scales and apertures are more robust when expressed in terms of the intensive baryonic-efficiency variable\begin{equation}E \equiv \log_{10}\!\left(\frac{M_{\rm dyn}}{M_b}\right).\label{eq:Edef}\end{equation}We therefore test the bivariate scaling relation\begin{equation}E = A' + \alpha' \log_{10} M_b + \delta' \log_{10} \Sigma,\label{eq:EoS}\end{equation}with $A'$ absorbing the choice of units. Across SPARC, LITTLE THINGS, and MaNGA, we measure a statistically strong and mutually consistent compactness response, $\delta' \simeq -0.4$ (SPARC: $-0.399\pm 0.038$; LITTLE THINGS: $-0.407\pm 0.131$; MaNGA: $-0.417\pm 0.006$), indicating that at fixed baryonic mass, more compact systems exhibit a smaller dynamical discrepancy. SLACS systems also show $\delta'<0$ but favor a steeper response in the high-density regime ($\delta'=-0.571\pm 0.069$); a formal SPARC-SLACS interaction test yields $\Delta\delta'$ with $p\simeq 0.078$, consistent with no difference at the $5\%$ level while indicating mild regime tension. In the MaNGA sample, expressing the discrepancy in terms of $E$ yields substantially higher coherence than the extensive residual $M_{\rm dyn}-M_b$ (typical $R^2\simeq 0.64$ with scatter $\sim 0.16$ dex), supporting baryonic compactness as a primary macroscopic organizing coordinate. We further extend the analysis to the galaxy-cluster regime using the CCCP weak-lensing sample ($N=50$), with aperture-matched measurements at $R_{500}^{\rm WL}$ for both the total mass $M_{{\rm WL},500}$ and the gas mass $M_{{\rm gas},500}$}. Point estimates yield a steep compactness dependence ($\delta'=-1.326\pm 0.091$). The result is not driven by individual systems (leave-one-out and bootstrap resampling) and remains negative under Monte Carlo uncertainty propagation while explicitly scanning the mass--radius error covariance. For uncorrelated errors ($\rho=0$; 30,000 realizations), the median response is $\delta'_{50}=-0.834$ with a $95\%$ interval $[-1.340,-0.343]$, remaining fully negative for $\rho\ge -0.4$. These findings establish a cross-scale, compactness-driven phenomenology for the dynamical mass discrepancy, while leaving the underlying physical mechanism (dark matter, modified gravity, baryon-halo coupling, or alternative interpretations) explicitly open.

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green