Quantum Gravity and String Theory


Massive Gravity Illustrated in the Mandelbrot Set (poster)

Authors: Jonathan J. Dickau

The long-range transition to 5-d or higher, seen in DGP gravity, cascading DGP, and some other theories, can be interpreted as a prior epoch or precursor universe. This transition has therefore been proposed to be a black hole in 5-d → 4-d white hole and a spacetime bubble that is our cosmos. The same transition is represented in the Mandelbrot Set at (-0.75,0i), where the cardioid meets the circular disc, mimicking Cartan’s rolling ball analogy for G2 symmetries – when M is extended into higher dimensions. We can therefore study this in an archetypical setting, and it suggests a unique exit from a higher-dimensional origin, which conveniently explains the weakness of gravity and accelerating expansion. Other analogies allow us to discuss graviton properties and phenomenology. Notably the Misiurewicz point at about (-1.543689,0i) represents the quantum critical point in BEC formation, which has been connected to black hole event horizons. A consistent model for gravity with higher-dimensional origins is offered.

Comments: 1 Page. Poster for GR22 session A3 modified theories of gravity (theor.)

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[v1] 2019-06-29 23:42:26

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