Place any observer in an expanding universe — they all see themselves at the centre. There is no privileged position. Inspired by Yvonne K. Tang's essay at SXS / black-holes.org.
Omega Centauri (NGC 5139) is 5.4 kpc from the Sun — deep within our own galaxy's halo. At this scale, Hubble expansion is negligible; gravitational binding within the Milky Way dominates. OC is not receding from us; it is in orbit.
The Copernican Principle cuts deeper for OC, however: Tang's essay (following Copernicus → Einstein) establishes that there is no privileged vantage point. From the Andromeda galaxy, Omega Centauri is a small cluster in the outskirts of a neighbouring galaxy — not at any special location. From a galaxy 100 Mpc away, neither the Milky Way nor OC appears at a cosmic centre; they are simply two of billions of gravitationally bound systems embedded in the Hubble flow.
This matters for the Omega Centauri Society's research programme: if OC's candidate IMBH hosts a transcended civilisation, that civilisation does not occupy a privileged cosmic position. It inhabits a cluster in a spiral galaxy's halo, 26,000 light-years from the galactic centre — as unremarkable a location as Smolin's, Darwin's or Copernicus's own: important to those within it, not privileged by the universe.
This tool demonstrates the Copernican Principle through an interactive simulation of Hubble expansion. A 2D grid of galaxies is laid out with uniform spacing. The observer (★) can be placed at any point by clicking or dragging. From that point, Hubble-flow recession velocity arrows are drawn to every other galaxy — with length proportional to distance, following v = H₀ × d.
The key observation: regardless of where the observer sits, the pattern of arrows looks identical — everything receding outward. There is no unique centre. This is exactly what an observer in our own universe sees in the real Hubble flow.
The Hubble constant H₀ can be adjusted between the CMB-inferred value (Planck 2020: 67.4 km/s/Mpc) and the local distance-ladder value (Riess 2022: 73.0 km/s/Mpc). The gap between these two measurements — the Hubble Tension — is an active area of research.
Yvonne K. Tang's essay "The Disputed Center of the Universe" at the SXS Project (black-holes.org) traces the intellectual history from Ptolemy's geocentric epicycles through Copernicus's heliocentric revolution to Einstein's insight that all physical laws must be independent of the observer's perspective. This tool builds an interactive demonstration of that final step: not just that Earth is not the centre of the Solar System, but that no point in the universe is the centre of the Hubble expansion.
Hubble's Law: v = H₀ × d, where H₀ is the Hubble constant (km/s/Mpc) and d is the proper distance in megaparsecs. This applies to the large-scale expansion of space; gravitationally bound systems (clusters, galaxies, the Local Group) are not carried apart by the expansion. Omega Centauri at 5.4 kpc is far below the scale at which Hubble expansion matters (~Mpc).
The grid spacing in this tool is set to 50 Mpc. The Hubble flow is computed and displayed in the co-moving frame of the chosen observer — a coordinate transformation, not a physical motion.
Two independent methods give different H₀ values: CMB-based measurements (Planck 2020) give ~67.4 km/s/Mpc; local distance-ladder methods (Cepheids + Type Ia SNe; Riess 2022) give ~73.0 km/s/Mpc. The ~5σ discrepancy is unresolved as of 2026 and may signal new physics. Both values are available in the H₀ slider.
Tool content may be revised as scientific knowledge evolves. v1.0 — 2026-05-24.