<parameters of the Standard Model>[26 parameters of the Standard model] on the blackboard. <99 Bottles of Beer>[If one of those parameters should happen to be erased, 25 parameters of the Standard model on the blackboard...].

But certainly, <classification of finite simple groups>[mathematics is not a part of].


All science is either physics or stamp collecting

A suggested at <Physics from Symmetry by Jakob Schwichtenberg (2015)> chapter 3.9 "Elementary particles", it appears that in the <Standard Model>, the behaviour of each particle can be uniquely defined by the following five numbers:
* due to <spacetime symmetries>:
  * <mass>
  * <spin (physics)>
* due to <internal symmetries>:
  * <electric charge>
  * <Weak charge>
  * <color charge>

E.g. for the <electron> we have:
* mass: $9.1 \times 10^{-31}$
* spin: 1/2
* electric charge: $1.6 \times 10^{-29}$
* weak charge: -1/2
* color charge: 0

Once you specify these properties, you could in theory just pluck them into the <Standard Model Lagrangian> and you could simulate what happens. 

Setting new random values for those properties would also allow us to create new particles. It appears unknown why we only see the particles that we do, and <parameters of the Standard Model>[why they have the values of properties they have].


Defining properties of elementary particles

{tag=Pauli exclusion principle}

= Spin number
{synonym}

= Spin comes naturally when adding relativity to quantum mechanics
{synonym}

I like <relativistic quantum mechanics>.

Best mathematical explanation: <spin comes naturally when adding relativity to quantum mechanics>{full}.

<Physics from Symmetry by Jakob Schwichtenberg (2015)> chapter 3.9 "Elementary particles" has an amazing summary of the preceding chapters the <spin (physics)> value has a relation to the <representation theory>[representations] of the <Lorentz group>, which encodes the <spacetime symmetry> that each particle observes. These symmetries can be characterized by small integer numbers:
* <spin 0>: $(0, 0)$ representation
* <spin half>: $(1/2, 0) \bigoplus (0, 1/2)$ representation
* <spin 1>: $(1/2, 1/2)$ representation<parameters of the Standard Model>[As usual], we don't know why there aren't <elementary particles> with other spins, as we could construct them.

Bibliography:
* <video Quantum Field Theory visualized by ScienceClic English (2020)>
* <spin comes naturally when adding relativity to quantum mechanics>
* https://physics.stackexchange.com/questions/31119/what-does-spin-0-mean-exactly What does spin 0 mean exactly? on <Physics Stack Exchange>


Ciro Santilli @cirosantilli 34

 Incoming links: Parameters of the Standard Model