Standard Model in multiscale theories and observational constraints

Understand

We construct and analyze the Standard Model of electroweak and strong interactions in multiscale spacetimes with (i) weighted derivatives and (ii) $q$-derivatives.

• Both theories can be formulated in two different frames, called fractional and integer picture.
• By definition, the fractional picture is where physical predictions should be made.
• (i) In the theory with weighted derivatives, it is shown that gauge invariance and the requirement of having constant masses in all reference frames make the Standard Model in the integer picture indistinguishable from the ordinary one.