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## Main Question or Discussion Point

If you simply interpret the RHS of the geodesic equation as a four-acceleration, can't we just treat gravity as a force?

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If you simply interpret the RHS of the geodesic equation as a four-acceleration, can't we just treat gravity as a force?

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Dale

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Murphrid is correct. You can certainly move the term involving Christoffel symbols to the other side from the term involving the coordinate acceleration, but the resulting equation is no longer a tensor equation and does not transform as a tensor does.If you simply interpret the RHS of the geodesic equation as a four-acceleration, can't we just treat gravity as a force?

However, the non-tensor equation that you have can certainly then be interpreted as an acceleration due to a gravitational force. The gravitational force, however, is clearly a fictitious force and even in this situation cannot be locally distinguished from other fictitious forces such as those due to acceleration or rotation of the coordinate system.

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Matterwave

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"The cornerstone of Einsteins theory,however,is the proposition that gravity is itself a fictitious force(or, rather,that it is indistinguishable from a fictitious force)"

So what is it? Is it considered to be a fictitious force or just indistinguishable from a fictitious force or something else? Thanks if anyone answers.

Try googling What is a "fictitious force"

Caltech 2004 Nobel laureate David politzer writing for "Scientific American"

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Bill_K

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