#### PeterDonis

Mentor

- 25,301

- 6,423

No, with a Galilean transformation, the "direction" of time doesn't change at all, because the Galilean transform only transforms space, it does nothing to time.Using a classical Galileo transform also implies that time inclines over space by an angle ##\arctan(v)##.

No. You can describe Newtonian gravity in geometric terms, as Cartan showed [1], but not the way you're describing here.if the equivalence principle were used that would also give a curved classical spacetime for gravitation and hence a local description of classical gravity ?

[1] https://en.wikipedia.org/wiki/Newton–Cartan_theory