On Fractal Spacetime & the Gauge-Gravity Duality

Abstract

We introduce here a speculative proposal for merging the gauge-gravity duality with the onset of fractal spacetime well above the electroweak scale. The proposal generates a positive cosmological constant in 1D spacetime, consistent with the dimensional reduction conjecture expected to take place near the Planck scale. Our proposal also unveils: a) a possible path towards field unification in fractal dimensions and b), an unforeseen bridge between fluid/gravity correspondence and the complex Ginzburg-Landau equation (CGLE).