Quantum Gravity and String Theory


AdS/CFT in the Mandelbrot Set

Authors: Jonathan J. Dickau

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.

Comments: 5 Pages. Essay written for 2019 Gravity Research Foundation Awards for Essays on Gravitation – submitted March 5, 2019

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[v1] 2019-03-11 10:37:14

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