Theoretical analysis derives fundamental constants from a fractal spacetime metric, suggesting universal forces arise as geometric surface tensions in a stable cosmos.
Key Points
To establish a purely topological, scale-invariant spacetime framework capable of deriving fundamental physical constants and cosmic boundaries without empirical fine-tuning.
Nested an orthogonal square grid representing potential energy with intersecting circular trajectories representing kinetic energy to track geometric phase accumulation.
Applied a scale-dependent metric bounded between Iteration 0 (Planck scale) and Iteration 200 (cosmic scale) using a modified Heaviside coherence modulator.
Identified an 11.07% scale-invariant geometric path discrepancy driven by accumulated Berry phases that smoothly modulates spacetime across 1D to 4D compact matter.
Analytically calculated the constituent quark mass at ~331 MeV, along with nuclear binding energies and the dark energy density at 10−47 GeV, characterizing them as static surface tensions.