Figure 2: The Multi-Bit Gravitational Hierarchy
Multi-Bit Gravity: Hierarchy Confirmation
Extending the framework from galaxies (1-bit) to clusters (3-bit) and superclusters (5-bit) verifies the scaling law.
Results from Cluster Sample (Vikhlinin et al. 2006)
* Galactic Scale: (consistent with
where
).
* Cluster Scale: . Consistent with
. Observed in Abell 2029, Coma, and Perseus cores.
* Supercluster Scale: . Observed in El Gordo and the Shapley Supercluster Core.
The Mechanism
The increase in topological complexity (Euler Characteristic and bit-depth
) creates a higher “Informational Overhead” which manifests as the observed dark matter density.
Reference: Vikhlinin, A., et al. (2006). Chandra Sample of Nearby Relaxed Galaxy Clusters: Mass Profiles. The Astrophysical Journal.