Timeline for What does the statement "the laws of physics are invariant" mean?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 31, 2015 at 23:01 | comment | added | user12262 | ACuriousMind: ""Events" are just points in spacetime" -- No, not "just", but (also) "spacetime coincidences {such as} encounters between two or more material points". "what you want {?}" -- An explicit description how to assign (subsets of) "the fundamental representation of the Lorentz group; just $\mathbb R^{1,3}$" to given sets of encounters between two or more identified "material points"; or at least appreciation for the difficulties involved, since the OP asked about physics. | |
| Jan 31, 2015 at 19:32 | comment | added | ACuriousMind♦ | @user12262: "Events" are just points in spacetime, which, in special relativity for which the Lorentz group is relevant, is just $\mathbb{R}^{1,3}$ - the fundamental representation of the Lorentz group. This induces that also the (co)tangent vectors transform in the (anti-)fundamental representation, and this linearly extends to the tensor products of them, so every field/form on spacetime also has a natural notion of transforming under the Lorentz group given by it being a tensor of a certain rank. I don't understand what you want. | |
| Jan 31, 2015 at 19:11 | comment | added | user12262 | ACuriousMind: "[...] Specifying the representations is part of giving the transformation." -- Then let's look specificly at "representations of the Lorentz group" (since your answer suggests specific relevance to the OP's question about "inertial frames"). Now, Wikipedia seems to have quite an extensive page on that topic. However, the word "event" seems to appear on that entire page but once: in the link to Current events. (Hence: I can rest my case.) ... | |
| Jan 31, 2015 at 12:57 | comment | added | ACuriousMind♦ | @user12262: Every object in the Lagrangian (usually these are fields, but they can be coordinates or operators as well) has to transform in a given representation of the transformation group. Specifying the representations is part of giving the transformation. | |
| Jan 31, 2015 at 8:55 | comment | added | user12262 | ACuriousMind: "Given a collection of transformations (a symmetry/transformation group)" -- What is thereby supposed to be transformed (what are the "objects of operations")? Surely not "coordinates" (and/or "just subsets of $ \mathbb R^n$") ?? | |
| Jan 30, 2015 at 12:45 | history | answered | ACuriousMind♦ | CC BY-SA 3.0 |