Complementary consistency test of the Copernican principle via Noether's theorem and machine learning forecasts

Abstract

The Copernican principle (CP), i.e. the assumption that we are not privileged observers of the Universe, is a fundamental tenet of the standard cosmological model. A violation of this postulate implies the possibility that the apparent cosmic acceleration could be explained without the need of a cosmological constant, dark energy or paper we present a new test of the CP relating the distance and the expansion rate, derived via Noether's theorem, which is complementary to other tests found in the literature. We also simulate fiducial data based on upcoming stage IV galaxy surveys and use them to reconstruct the Hubble rate $H(z)$ and the angular diameter distance $d_A(z)$ in order to forecast how well our null test can constrain deviations from the cosmological constant model. We find that our new test can easily rule out several scenarios based on the Lema\^ıtre-Tolman-Bondi void model at confidence of $\gtrsim 3\sigma$ at middle to high redshifts ($z>0.5$).

8 pages, 1 figure, 2 tables. Changes match published version

References in corpus (24)

• A general test of the Copernican Principle
• Confronting Lemaitre-Tolman-Bondi models with Observational Cosmology
• Exact solution to the averaging problem in cosmology
• Time drift of cosmological redshifts as a test of the Copernican principle
• A Test of the Copernican Principle
• Living in a Void: Testing the Copernican Principle with Distant Supernovae
• Looking the void in the eyes - the kSZ effect in LTB models
• Can we avoid dark energy?
• A new perspective on Dark Energy modeling via Genetic Algorithms
• Determining the range of validity of quasar X-ray and UV flux measurements for constraining cosmological model parameters
• Feature engineering and symbolic regression methods for detecting hidden physics from sparse sensors
• Linear kinetic Sunyaev-Zel'dovich effect and void models for acceleration
• Novel null tests for the spatial curvature and homogeneity of the Universe and their machine learning reconstructions
• The Copernican principle in light of the latest cosmological data
• Regression methods in waveform modeling: a comparative study
• Machine learning forecasts of the cosmic distance duality relation with strongly lensed gravitational wave events
• A novel null test for the $\Lambda$CDM model with growth-rate data
• Galaxy correlations and the BAO in a void universe: structure formation as a test of the Copernican Principle
• Not a Copernican observer: biased peculiar velocity statistics in the local Universe
• Machine Learning and cosmographic reconstructions of quintessence and the Swampland conjectures
• A model independent measure of the large scale curvature of the Universe
• Reconstruction of the null-test for the matter density perturbations
• Probing violation of the Copernican principle via the integrated Sachs-Wolfe effect
• Analysis of beam position monitor requirements with Bayesian Gaussian regression

Cited by in corpus (5)

• Is the Observable Universe Consistent with the Cosmological Principle?
• Euclid: Forecast constraints on consistency tests of the $\Lambda$CDM model
• A null test of the Cosmological Principle with BAO measurements
• Testing the $\Lambda$CDM paradigm with growth rate data and machine learning
• Cosmic Web Dissection in Fuzzy Dark Matter Cosmologies