0
$\begingroup$

How does mass operate in higher dimensional spaces? I am well aware that Mass is not intrinsically linked to any particular dimensionality, but with how dimensions operate I am not exactly sure how it would not rocket up to infinitely massive with even a singular added dimension, due to how it would be ℵ(0) many slices which hold mass.

But I have seen mass applied to two dimensions, as the derivation of Gravitational Binding Energy applies a mass to infinitely many (n-1) dimensional slices. Yet it ultimately adds up to a normal amount of mass, how exactly does this occur? And how can it be extrapolated to even higher dimensionalities?

Improve this question
$\endgroup$
4
  • $\begingroup$ Welcome to Physics! Can I ask why you're not concerned about how 3-D objects have finite mass? After all, there ℵ(0) 2-D slices of a 3-D object, each one of which holds mass. $\endgroup$
    – Michael Seifert
    Apr 23, 2021 at 20:15
  • $\begingroup$ I am concerned about that, as I did mention in my comment. "But I have seen mass applied to two dimensions, as the derivation of Gravitational Binding Energy applies a mass to infinitely many (n-1) dimensional slices. Yet it ultimately adds up to a normal (finite) amount of mass, how exactly does this occur?" $\endgroup$
    – Zoey
    Apr 23, 2021 at 20:19
  • 1
    $\begingroup$ PSE user rediscovers calculus. More news at seven. $\endgroup$
    – AccidentalFourierTransform
    Apr 23, 2021 at 21:13
  • $\begingroup$ I know about Calculus, I have taken classes in it. I am just trying to see how to calculate mass in N > 3. I was talking about integrals and such in the original post. No need to get hostile. $\endgroup$
    – Zoey
    Apr 24, 2021 at 0:09

0

Reset to default

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Browse other questions tagged or ask your own question.