PeterDonis's latest activity

"Matter" is a word. Physics is not done in words. It's done in math. So what the word "matter" means depends on what thing in the math...

It's worth noting, though, that even though the interior of a black hole is vacuum, the spacetime curvature does increase without bound...

No. If you fell into a black hole the mass of the Sun (and if GR were correct which it probably isn't!) you would reach the singularity...

You can't extend that kind of picture to a black hole interior, unfortunately. Assumptions made during the drawing fail at the event...

IMHO: LLM = "Garbage in, garbage out." Agentic AI/LLMs = automatic, unreviewed actions based on garbage.

The OP is based on several incorrect claims, which have been corrected. This thread is now closed. Thanks to all who responded.

Nope. Your Bondi & Samuel reference enumerates 10 versions of Mach's principle (some of which are contradictory!) and discusses their...

No, this is not correct. The frame you are using in the second description is not a global inertial frame (in a curved spacetime, there...

I don't see the validity of your argument. Consider this quote about Mach's principle from S. Weinberg, Gravitation and Cosmology, pg...

No, this is not correct. You are quite right to say that A's and B's water surfaces both being curved are invariant physical facts that...

For some definitions of "A's frame", yes. But frame-dependent quantities have no physical meaning, so this says nothing about any actual...

I disagree with this. I can write the position of a particle as ##(x(t),y(t),z(t))## or...

What leads you to believe that there is any such analogy in the first place? Evidently you are not aware of any published literature...

A search on the arxiv number of the paper didn't turn up any other threads here on PF. So I think we're good.

Yes, which is why the term "tidal forces", which you used in post #126, is not correct if you are describing the effects of spacetime...