Sorry, but you will have to explain how physical and chemical processes slowed by “a violation of conservation laws” is different from experiencing a slower time.
Your term “dt/dt” is incomplete, anyway — you divide one object’s space time progress by a reference space time progress. This editor doesn’t allow index numbers, but the term should be “dt1/dt0”.
We seem to observe an expanding universe. Would this mean that each point in space time would already be moving at a significant speed, incurring dilation effects? We don’t observe any changes in distances down our gravity wells (galaxy, solar system, planet) while we do observe red-shifting.
If space doesn’t expand measurably on a localized, gravity-influenced area, then where does it expand?