The Complete Schwarzschild Metric and Unimodular Einstein Equations from Planck-Scale Foam Dynamics

Key Points

• This research aims to derive the Schwarzschild metric and unimodular Einstein field equations from foam dynamics.
• Derived spatial metric g_rr using foam incompressibility principles.
• Utilized Poisson ratio to establish metric relationships.
• Applied foam action principle to formulate the unimodular Einstein equations.
• Identified the cosmological constant as an integration constant, addressing its longstanding issues.
• Derived both Friedmann equations without free parameters.