Invariant definition of acceleration in Newtonian physics vs proper acceleration in GR

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Discussion Overview

The discussion revolves around the definition of acceleration in Newtonian physics compared to proper acceleration in General Relativity (GR). Participants explore whether an invariant definition of acceleration exists in Newtonian frameworks similar to that in GR, considering concepts like inertial frames and the role of gravity.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • Some participants question whether an invariant definition of acceleration exists in Newtonian physics akin to proper acceleration in GR, noting that gravity complicates the interpretation of accelerometer readings.
  • Others propose Newton Cartan gravity as a framework that retains features of GR while addressing the concept of acceleration in a Newtonian context.
  • There are discussions about the limitations of accelerometers in distinguishing between inertial motion and free fall in gravitational fields, with some arguing that this is a fundamental issue in Newtonian physics.
  • Some participants assert that inertial motion can be defined by an accelerometer reading zero in certain formulations of Newtonian physics, while others challenge this by citing the need for inertial frames.
  • One participant emphasizes that acceleration in standard Newtonian mechanics is invariant under Galilei transformations, providing a mathematical perspective on the topic.

Areas of Agreement / Disagreement

Participants express differing views on the existence and nature of an invariant definition of acceleration in Newtonian physics. While some agree on the applicability of Newton Cartan gravity, others maintain that traditional Newtonian definitions are circular or insufficient.

Contextual Notes

There are unresolved assumptions regarding the definitions of inertial frames and the implications of gravity in the context of acceleration. The discussion reflects varying interpretations of Newtonian physics and its formulations.

  • #31
cianfa72 said:
So, as you pointed out in post #24, in section 2 in that paper (in particular in 2.1) a global condition on ##\tau## is actually implicitly assumed.
I don't know if it is, because I don't know if that entire section was intended to just cover standard Newtonian gravity, or whether it was intended to cover a more general category of models that all use the same general formalism.
 

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