A new way to test the Cosmological Principle: measuring our peculiar velocity and the large-scale anisotropy independently

We present a novel approach to disentangle two key contributions the largest-scale anisotropy of galaxy distribution: (i) intrinsic dipole due clustering and anisotropic geometry, (ii) kinematic our peculiar velocity. Including redshift angular size galaxies, in addition their fluxes positions allows us measure both direction amplitude velocity independently source distribution. find that this new applied future surveys (LSST Euclid) SKA radio continuum survey will allow ($\beta = v/c$) with relative error $\sigma(\beta)/\beta \sim (1.3 - 4.5)\%$ direction, $\theta_{\beta} 0.9^\circ 3.9^\circ$, well beyond what can be achieved when analysing only number count dipole. also are able large-scale uncertainty $\lesssim 5\%$ (measurement error, not including cosmic variance). Our method enables simultaneous tests Cosmological Principle: comparing observations CMB dipole, testing for significant on large scales which would indicate effects standard cosmological model.