What if the Universe was 1D initially?
then,
- we could define the usual action for 1D and call it effective
- we could define a novel action for general d-dimensions
the kinetic term
\(e^{ix}=\cos x + i \sin x\)
extend the sum to non-integers https://www.youtube.com/watch?v=hkn9zeRuzHs https://www.youtube.com/watch?v=2dwQUUDt5Is essentially allows defining the fractional Lagrangian \(L(s) = \int\) and now the physics in fractional dimensions can be calculated