Therefore, the claim over-generalizes from relativistic spacetimes to all spacetime structures; the topological-plus-metric package of Newton-Cartan suffices to ground zero 3-acceleration intrinsically.

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Newton-Cartan(In physics and philosophy of physics): A mathematical framework developed to describe gravity and motion in a way that combines Newton's classical physics with Einstein's relativity insights.
Over-generalize(The critique that a claim makes too broad a conclusion): Drawing a conclusion that applies too broadly based on limited examples—like saying all dogs are small because you only looked at chihuahuas.
Relativistic spacetimes(as used in physics and philosophy of physics): The way physicists describe space and time together as a flexible fabric (based on Einstein's theory of relativity) where time and space can bend, stretch, and affect each other in extreme conditions like near black holes or at very high speeds.
Spacetime structures(In physics and metaphysics): The different mathematical ways that space and time can be organized and relate to each other—think of it as the underlying framework of how reality is built.

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