Geometric Resolution of Cosmic Tensions

We report two numerical observations regarding the standard cosmological parameters using Planck 2018 central values. (1) The Hubble tension is numerically reproduced by a discrete packing factor , corresponding to the 3D kissing number. This fixed geometric factor maps the global CMB value to , consistent with the local SH0ES measurement within quoted uncertainties. (2) The product of the cosmological constant and the Hubble–horizon area reduces identically to . Using , we obtain , which lies within of the geometric invariant . We present these relations as compact, data-driven geometric constraints on cosmological parameters, without proposing a dynamical model; code to reproduce the calculations is provided.