AdS/CFT in the Mandelbrot Set

Abstract

The AdS/CFT conjecture of Juan Maldacena is a cornerstone of Modern Physics, but why it works remains a mystery. The appearance of Cartan’s rolling-ball analogy for G₂ symmetries in the Mandelbrot Set offers a window on correspondences between interactions in the higher-d precursor and 4-d spacetime implied by AdS/CFT. Recent theories suggest a literal embodiment of AdS/CFT in a black hole in 5-d ® 4-d white hole/bubble on the holographic boundary. This transition is represented in the Mandelbrot Set at (-0.75,0i) where the boundary folds back on itself and we see a pseudo-symmetric mirroring of features in the cardioid, depicting 5-d evolution, with features in the circular region representing 4-d spacetime. This shows how the force of fermionic mass in the outward-pressing hypersurface of the early universe becomes the inward-facing pull of gravity toward the center of massive objects, in the present-day cosmos, which explains the weakness of gravity, and accelerating expansion.