Spin Inversion Symmetry (SIS)

Spin Inversion Symmetry (SIS)

SIS says every elementary particle in the Standard Model (except for the Higgs) of spin s has a partner of spin 1/s and vice versa. If you look at the Standard Model you'll realize SIS predicts the existence of 12 new spin 2 particles. But here's the story behind SIS..

I have no theoretical justification for SIS. But I do have a rather amusing story of how I came up with it.

I was imagining how you might model a spin 1/2 elementary particle with an everyday object. After a bit of thought I decided on a Mobius strip (strip of paper joined after applying 1 half turn). I figured 1 half turn = spin 1/2.

Then I made a strip with 4 half turns and discovered it will naturally "flip" into a double thickness Mobius strip (no cutting, folding, etc.)

In other words a strip with 4 half turns (spin 2) naturally flips into a strip with 1 half turn (spin 1/2) and vice versa.

So there you have it - a desktop version of SIS. All you need is paper, scissors and a touch of glue!!!!!

Content written and posted by Ken Abbott abbottsystems@gmail.com