Yano-Schrödinger Hyperfluid: Cosmological Implications

Abstract

Perfect cosmological hyperfluids generalize the concept of a perfect fluid within the framework of metric affine gravity. These hyperfluids encode the microstructure of matter including shear, dilation, and spin via the hypermomentum tensor. In this paper, we focus on the observational constraints of the recently introduced Yano-Schrödinger hyperfluid, which sources a special type of nonmetricity, that preserves the lengths of vectors under autoparallel transport. We propose a model in which the effective nonmetricity contributions to pressure and matter density are related linearly as $p_{\text{eff}}=\omega {\rho }_{\text{eff}}$. This assumption allows for a straightforward parameterization of deviations from standard cosmological behavior while maintaining analytical tractability. To constrain the effective equation of state parameter $\omega$, we perform a Bayesian parameter estimation using Nested Sampling, implemented via the \texttt{PyPolyChord} library. We use Baryon Acoustic Oscillation measurements from the Dark Energy Spectroscopic Instrument (DESI) Data Release 2 (DR2), along with Type Ia supernova and Cosmic Chronometer data. In our analysis, we treat $r_d$ as a free parameter, enabling late-time data to extract posterior distributions for the Hubble constant ($H_0$) and the sound horizon ($r_d$), along with the corresponding model parameters. Our results yield $H_0=67.4\pm 4.0km{s}^{-1}Mp{c}^{-1}$ and $r_d=148.8\pm 7.4$ Mpc, with $\omega =-0.488$ . Finally, we use the logarithm of the Bayes factor to compare different Yano-Schrödinger model against the $\Lambda$CDM model. We find that the LESC model provides a better fit to the data, suggesting that modifications to metric-affine gravity could offer viable alternatives to the standard cosmological paradigm.

arXiv comment15 pages, 6 figures, published in Journal of High Energy Astrophysics

References in corpus (69)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• f(R) Theories Of Gravity
• f(R,T) gravity
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty from the Hubble Space Telescope and the SH0ES Team
• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• f(T) teleparallel gravity and cosmology
• The Pantheon+ Analysis: Cosmological Constraints
• A gravitational-wave standard siren measurement of the Hubble constant
• A 6% measurement of the Hubble parameter at $z\sim 0.45$: direct evidence of the epoch of cosmic re-acceleration
• H0LiCOW XIII. A 2.4% measurement of $H_0$ from lensed quasars: $5.3\sigma$ tension between early and late-Universe probes
• Early Dark Energy Can Resolve The Hubble Tension
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Constraining Cosmological Parameters Based on Relative Galaxy Ages
• Supernova Constraints and Systematic Uncertainties from the First 3 Years of the Supernova Legacy Survey
• The Carnegie-Chicago Hubble Program. VIII. An Independent Determination of the Hubble Constant Based on the Tip of the Red Giant Branch
• Two new diagnostics of dark energy
• Jerk, snap, and the cosmological equation of state
• Superluminal motion of a relativistic jet in the neutron star merger GW170817
• f(R,L_m) gravity
• Measurements of the Hubble Constant: Tensions in Perspective
• New physics in light of the $H_0$ tension: an alternative view
• PolyChord: nested sampling for cosmology
• Dynamical dark energy in light of the latest observations
• Action functionals for relativistic perfect fluids
• $f(Q,T)$ gravity
• Calibration of the Tip of the Red Giant Branch (TRGB)
• Reconciling Planck with the local value of $H_0$ in extended parameter space
• The Megamaser Cosmology Project. XIII. Combined Hubble constant constraints
• Seven hints that early-time new physics alone is not sufficient to solve the Hubble tension
• $f(T,\mathcal{T})$ gravity and cosmology
• New constraints on cosmological parameters and neutrino properties using the expansion rate of the Universe to z~1.75
• An Improved Distance to NGC 4258 and its Implications for the Hubble Constant
• Setting the Stage for Cosmic Chronometers. II. Impact of Stellar Population Synthesis Models Systematics and Full Covariance Matrix
• Elucidating $\Lambda$CDM: Impact of Baryon Acoustic Oscillation Measurements on the Hubble Constant Discrepancy
• TDCOSMO. I. An exploration of systematic uncertainties in the inference of $H_0$ from time-delay cosmography
• Why reducing the cosmic sound horizon alone can not fully resolve the Hubble tension
• A Simple Phenomenological Emergent Dark Energy Model can Resolve the Hubble Tension
• Observational constraints on one-parameter dynamical dark-energy parametrizations and the $H_0$ tension
• Investigating Cosmic Discordance
• A measurement of Hubble's Constant using Fast Radio Bursts
• Setting the Stage for Cosmic Chronometers. I. Assessing the Impact of Young Stellar Populations on Hubble Parameter Measurements
• Baryon acoustic oscillation, Hubble parameter, and angular size measurement constraints on the Hubble constant, dark energy dynamics, and spatial curvature
• An 8\% Determination of the Hubble Constant from localized Fast Radio Bursts
• Friedmann-like universes with torsion
• How the Dark Energy Can Reconcile \textit{Planck} with Local Determination of the Hubble Constant
• Cosmological Hyperfluids, Torsion and Non-metricity
• The Megamaser Cosmology Project. VI. Observations of NGC 6323
• Recombination-independent determination of the sound horizon and the Hubble constant from BAO
• Dynamics of interacting quintessence
• Gauging scale symmetry and inflation: Weyl versus Palatini gravity
• Torsion/non-metricity duality in f(R) gravity
• Can Non-standard Recombination Resolve the Hubble Tension?
• Black hole solutions in the quadratic Weyl conformal geometric theory of gravity
• Dark matter as a Weyl geometric effect
• Dynamical stability of K-essence field interacting non-minimally with a perfect fluid
• The $H_0$ Tension in Non-flat QCDM Cosmology
• The Perfect Hyperfluid of Metric-Affine Gravity: The Foundation
• Dynamical stability in models where dark matter and dark energy are non-minimally coupled to curvature
• Schrödinger connection with selfdual nonmetricity vector in 2+1 dimensions
• Non-Riemannian Cosmology: The role of Shear Hypermomentum
• Schrödinger Connections: From Mathematical Foundations Towards Yano-Schrödinger Cosmology
• Length-preserving biconnection gravity and its cosmological implications
• Hyperfluid model revisited
• Kinematics in Metric-Affine Geometry
• Friedmann cosmology with hyperfluids
• Lagrangian Formulation of the Raychaudhuri Equation in Non-Riemannian Geometry