What the spin-statistics theorem connects — integer spin particles are bosons, half-integer spin are fermions

What Fermi-Dirac statistics describe — the distribution of fermions, which obey the exclusion principle

Fermi-Dirac statistics describe the distribution of particles like electrons, obeying the Pauli exclusion principle

What the Stern-Gerlach experiment showed — angular momentum is quantized, not continuous

The Stern-Gerlach experiment demonstrated that electron spin has quantized angular momentum

What Bell's theorem proved — no local hidden variable theory can reproduce all predictions of quantum mechanics

Bell's theorem disproved local hidden variable theories' ability to match quantum mechanics' predictions

What spin is in quantum mechanics — an intrinsic angular momentum that has no classical analogue

Quantum spin is an intrinsic angular momentum without classical counterpart

What the Aspect experiments confirmed — Bell inequality violations prove quantum nonlocality is real

Aspect experiments demonstrated quantum entanglement's nonlocality, violating Bell's inequalities

What the Goldstone theorem says — every spontaneously broken continuous symmetry produces a massless boson

Goldstone theorem: Spontaneously broken continuous symmetries yield massless Goldstone bosons