Modified Gravity Theories From the Barrow Hypothesis: Conclusions and References | HackerNoon

The Barrow hypothesis posits a fractal structure at the black hole horizon which modifies the Bekenstein-Hawking entropy area law according to a parameter ∆. If ∆ is constant, it does not significantly alter general relativity, but if ∆ is a function of radial distance, it gives rise to modified gravity theories beyond general relativity.

The central point of the Barrow hypothesis is to replace spherical symmetry with fractal symmetry, leading to quantum gravitational corrections not only to the gtt and grr components of the classic Schwarzschild black hole metric, but also to the gθθ and gφφ components. The choice for I(r) in these theories determines the form of quantum corrections. The Barrow hypothesis may generate entirely new, unknown quantum corrections, showcasing a plethora of possible modifications beyond existing theories.

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