It won't affect much except bleeding edge theoretical physics. Much the way we don't need relativity to make airplanes fly (but round-earth gravity models help for long distance flights).

Physical laws are mathematical models that reflect natural forces and predict outcomes (accurately that we can fling cans of passengers across the world safely). It wouldn't be the first time we discovered that some previously constant forces are actually variable (much the way the force of gravity is affected by distance, noticeable only when you lob something high enough.) We shrug and change the variables, and some physicists near retirement may balk and say it's ridiculous, as Einstein did regarding Heisenberg's probability-based quantum mechanics.