(adsbygoogle = window.adsbygoogle || []).push({}); Local Electrodynamics in higher dimensions??

So I am an unexperienced undergrad but the other day I had a few thoughts which are most likely crazy. I'm just wondering why they don't work. And whether the questions I'm asking are answered elsewhere.

So I've heard:

(i) Maxwell's equations break down on very, very small length scales. But Hermann Weyl showed they only work in (3+1)-dim spacetime.

and

(ii) Perhaps we haven't observed gravitrons because they escape to higher dimensions after traveling only tiny length scales.

So I was wondering, is there some geometric way of thinking of the universe wherelocally, the universe is a higher dimensional space and they dimensions somehow coalesce or "smooth out" into the usual (3+1)-dimensions at larger lengths? Might Maxwell's electrodynamics be only approximate but break down locally?

I might not even be asking sensible questions and I certainly don't know enough mathematics to ask it more concisely, but any thoughts would be appreciated.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Local Electrodynamics in higher dimensions?

**Physics Forums | Science Articles, Homework Help, Discussion**