Elementary Particles & Paper Strips
I was wondering if a spin 1/2 elementary particle could be modeled 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 something elegant.. it will naturally "flip" into a double thickness Mobius strip.
In other words a strip with 4 half turns (spin 2) naturally flips into a strip with 1 half turn (spin 1/2).
That's a Boson to Fermion transition. Think of space time (a Boson spin 2 structure) "condensing" into spin 1/2 Fermions.
It explains why every elementary matter particle has spin 1/2. They have no choice!
This led me to conjecture Spin Inversion Symmetry. It says every elementary particle in the Standard Model (except for the Higgs) of spin s has a partner of spin 1/s.
So the spin 1 elementary particles in the Standard Model are their own partner, but the spin 1/2 elementary particles in the Standard Model have spin 2 partners.
This implies there is at least one spin 2 particle (graviton) and maybe more. Maybe a family of Gravitons!
So there you have it - the quantum mechanics of paper strips, and all you need is paper, scissors, a touch of glue, and a vivid imagination!
Content written and posted by Ken Abbott firstname.lastname@example.org