Archimedean Spacetime II: Galaxy Cluster Collisions as Systematic Tests of Density-Dependent Gravitational Profiles

This work is the second paper of the 5D Fluid Model of Gravitation(also referred to as Archimedean Spacetime).It builds directly on the theoretical framework introduced in"The 5D Fluid Model of Gravitation: An Alternative Theoretical Framework"and focuses on galaxy cluster collisions as systematic observational testsof density-dependent gravitational profiles. Included files:- English version (PDF) – primary reference- German version (PDF)- LaTeX source files Abstract:Note: Speculative theoretical framework without peer review. This work presents testablepredictions for a conceptual model requiring experimental validation.Galaxy cluster collisions are investigated as a systematic test of the 5D-uid model ofgravitation. The model's core prediction that gravitational lensing follows the distributionof dense matter, not diuse gas distributions is examined using four observed cluster collisions: Bullet Cluster, El Gordo, MACS J0025.4-1222, and Abell 520. Three of these systemsshow qualitative agreement with model predictions, while Abell 520 presents a challengedue to complex projection eects. The systematic analysis demonstrates consistency withdensity-dependent gravitational proles without assuming additional dark matter.Scope: This work exclusively tests the density-dependent lensing prediction of the 5D-uidmodel; other predictions (rotation curves, CMB, early structure formation) remain subjectsof separate work.Keywords: 5D-uid model, Archimedean spacetime, galaxy cluster collisions, gravitationallensing, Bullet Cluster, El Gordo, density-dependent gravity, dark matter alternative Note:This is a speculative theoretical framework with testable predictions.The work has not undergone peer review.