Today’s standard model of cosmology is based on general relativity (GR). GR and special relativity (SR) work for all observers, but no spacetime diagram works for all observers. This is because SR/GR lack absolute space and absolute time. We present a model that is based on Euclidean relativity (ER). ER describes a mathematical Master Reality, which is absolute 4D Euclidean space (ES). All objects move through ES at the dimensionless speed C. There is no time in ES. All motion in ES is due to an external “evolution parameter” θ. Every object experiences two orthogonal projections from ES as space and time: The axis of its current 4D motion is its proper time τ. Three orthogonal axes form its 3D space x1, x2, x3. Observing objects is identical to projecting them from ES onto an observer’s physical reality, which is a Minkowskian reassembly of his axes x1, x2, x3, τ. In this “τ-based Minkowskian spacetime” (τ-MS), θ converts to absolute parameter time ϑ. ER predicts the same relativistic effects as SR/GR, but gravity is Newtonian. Action at a distance is not an issue: In timeless ES, information is instantaneous. Only in physical realities does the time coordinate cause a delay in information. Presumably, gravity is carried by gravitons and manifests itself in τ-MS as gravitational waves. ER does not require curved spacetime, cosmic inflation, expanding space, dark energy, and non-locality. And yet, ER predicts the arrow of time, galactic motion, the Hubble tension, entanglement, and more. We propose using ER in cosmology and quantum mechanics. Is ER the key to unifying physics?