THE PRIMACY OF THE WEYL EQUATION
According to the Random Dynamics philosophy,
chiral fermions may be more fundamental
And from the point of view of the Planck scale, all fermions are Weyl
particles, thus Weyl equation is the basic equation
ruling the world of matter.
assigning this primacy to the Weyl equation, 3+1
dimensions are furthermore "derived". The argument is that
in a non- Lorentz invariant world, the Weyl equation in
requires less finetuning than other equations. This means that the Weyl
equation is especially stable, in the sense that even if general, non-Lorentz
invariant terms are added, the Weyl equation is regained.
In this scheme both 3+1 dimensions and Lorentz invariance
thus eventually emerge.
Here is an explicit description of the derivation:
"Lorentz invariance derivation for beginners".