Black Holes and Expanding Universes as Observer-Dependent Descriptions of the Same Geometry : A Proposal for Pure Geometric Duality

Key Points

• To propose a geometric duality between black hole interiors and expanding cosmologies, suggesting they are observer-dependent descriptions of the same geometry.
• Analyzed observer-complementary descriptions across event horizons.
• Investigated signature flips at horizons.
• Utilized Kantowski-Sachs geometry framework.
• Applied principles of horizon thermodynamics.
• Demonstrated that black holes and universes can represent the same geometry.
• Identified that event horizons create distinct observer perspectives.
• Proposed a mathematical framework where 1+1=1 in this context.