The discussion revolves around the impact of particle symmetry on particle behavior, exploring concepts such as wavefunctions, interactions between particles, and the implications of symmetry in physical laws. Participants delve into theoretical aspects and the complexity of these ideas.
There is no clear consensus on the definitions and implications of particle symmetry, with multiple viewpoints and interpretations presented. The discussion remains unresolved regarding the specifics of how symmetry affects particle behavior.
Participants express varying levels of understanding and familiarity with the concepts discussed, indicating potential limitations in assumptions and definitions related to symmetry and its implications.
What do you mean by symmetry? Do you mean symmetric vs. antisymmetric wavefunctions, i.e. bosons vs. fermions?ChrisisC said:How does a particles symmetry effect the way it behaves? Do particles with similar symmetry interact with each other in a special way than 2 particles with different symmetries?
DennisN said:What do you mean by symmetry? Do you mean symmetric vs. antisymmetric wavefunctions, i.e. bosons vs. fermions?
Symmetry is a term for the conservation laws that constrain physical equations. Two interacting particles will obey the laws of physics. It is the laws that have symmetries. For example energy conservation can be thought of as invariance under time translation. So time translation is part of a group of transformations.ChrisisC said:well actually i read it in a book, the symbols used to represent symmetry were S with a subscript of 2 or 3 (i don't know how to do a subscript on iphone).
Mentz114 said:This is all very technical but that is what you probably stumbled on and it defies description in simple terms.
Thanks, but I'm fully aware of that. Trying to express this in B-language defeated me and my post is ... ugh.bhobba said:Read the following:
https://www.amazon.com/dp/0750628960/?tag=pfamazon01-20
https://www.amazon.com/dp/3319192000/?tag=pfamazon01-20
Its tied up with Noethers beautiful theorem:
http://hackaday.com/2016/06/14/symmetry-for-dummies-noethers-theorem/
Its not simple and will require considerable study, but represents probably the most profound revelation of modern physics. It stunned Einstein. We have professors here that when they tell their students they sit in silent awe because of how how deep and profound its startling revelation is.
Thanks
Billl