Curt Jaimungal: Can Physics Explain Its Own Laws?
Theories of Everything with Curt Jaimungal
Curt Jaimungal
4.6 • 606 Ratings
🗓️ 5 November 2025
⏱️ 15 minutes
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| 0:00.0 | Why do physical laws have the form that they do? Do we text the universe at 2 a.m. and say, |
| 0:04.9 | hey, you up? Need to talk about fundamental constants. The question seems straightforward |
| 0:10.2 | since physics ostensibly explains everything else. So what about its own foundations? |
| 0:16.8 | Here's why I think this innocent query is beguiling and treacherous. |
| 0:22.1 | Physicists love to point to our explanatory successes, so we have Vigner or Wigner's classification, |
| 0:28.0 | however it's pronounced telling us that particles are certain types of representations of certain types of groups. |
| 0:33.8 | This quote-unquote explains why particles have the properties that they do. |
| 0:38.5 | They're just mathematical consequences of space-time symmetries, yo. And then we have another's |
| 0:43.3 | theorem, which links against certain symmetries to conservation laws under some |
| 0:47.9 | variational principles. For instance, you may have learned that spatial symmetry gives |
| 0:52.1 | momentum conservation, and time symmetry gives |
| 0:55.2 | energy conservation. It's all beautiful, no? Now, Nother's theorem is said to, quote-unquote, |
| 1:00.8 | explain conserved quantities. Firstly, there are problems with defining energy in this manner, |
| 1:05.5 | and you can click on this video here to watch what energy actually is in general relativity. But here's what many tend to not |
| 1:12.8 | think about. We're actually facing another's inverse problem. So given a set of conservation laws, |
| 1:19.4 | can we uniquely determine the symmetries? The answer is no. Multiple agrongians can give the same |
| 1:26.9 | physics, thus the map from the symmetries to the |
| 1:29.4 | conserved quantities is not invertible. Now, I should say there is actually an inverse nuthers theorem. |
| 1:34.5 | See Harvey Brown's paper here, his recent work. The problem is that for these inverse nuthers |
| 1:39.6 | theorems, you do require additional constraints, and it doesn't fully resolve the uniqueness issues. |
| 1:45.5 | Also, there are conservation laws that can exist without variational principles, |
| 1:50.2 | such as with dissipative systems and conserved quantities that lack a Lagrangian formulation. |
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