The Banach-Tarski Paradox Through Temporal Dynamics: Geometric Field Theory, Wavefunction Collapse, and Cosmological Composition

Key Points

• The research aims to explore the Banach-Tarski paradox using the Temporal Dynamics Framework to reveal connections to cosmological constants.
• Applied the Temporal Dynamics Framework to analyze the Banach-Tarski paradox.
• Investigated relationships between rotation angles, dark energy, and dark matter.
• Conducted 18 verification tests to ensure robustness of findings.
• Identified a trigonometric relationship that links the fine structure constant with dark energy and dark matter fractions.
• The ratio of cos-squared(137 degrees)/2 corresponds closely to dark matter at 26.8%.
• All verification tests confirmed consistency with established cosmological measurements.

Abstract