Meet the machinery of matter.
You do not need physics or math to start. Build one idea at a time: fields, particles, connections, then the structure underneath.
Lessons 17 and 18 teach Feynman diagrams; 19–24 cover the field atlas; 25–34 explain foundations, evidence, and open questions. Use the tabs below to jump there. Read → try an example → check your understanding. Tap any blue, dotted term for a plain-English definition.
Fields make particles. Their properties set the connections.
A field is an underlying physical system. A particle is a quantum excitation of it. Different fields have different properties, so they can interact in different ways.
One field or one particle?
The up-quark field and down-quark field are distinct. An individual up quark is an excitation of the up-quark field. We name twelve matter field types, twelve interaction gauge directions, and one Higgs field multiplet in the broad roster; the 58-entry explorer opens some of those matter types into color and chirality components.
Build outward
Quarks bound by strong interactions form protons and neutrons. Those form nuclei. Electromagnetism connects nuclei and electrons into atoms. Atoms form the matter and chemistry around you.
Gravity belongs in the larger picture of nature, but is outside the Standard Model.
Explore the 58 inventory entries
This expands the matter fields into their color and left/right components. You do not need to memorize these tiles to start learning.
Why 58? What does L / R mean?
One generation contributes 12 quark components and 3 lepton components. Three generations: 45. Add 8 gluon + 3 W + 1 B gauge directions, then count the whole Higgs multiplet once: 58.
L and R are chiral field components, not separate flavors. Antiparticles are included in the field description. The Higgs multiplet has four real components, so this is a mixed bookkeeping convention rather than a unique count of degrees of freedom.
Who responds to which field?
Choose a particle, predict its connections, then check the rules. These are direct elementary couplings; the notes explain where composites or indirect processes need more care.
Meet the repeated families
Corresponding species repeat their charge patterns. The quarks and charged leptons get heavier across the families; neutrino masses do not have that simple known ordering.
| Generation | Up-type quark | Down-type quark | Charged lepton | Neutrino flavor |
|---|---|---|---|---|
| 1 | up | down | electron | electron neutrino |
| 2 | charm | strange | muon | muon neutrino |
| 3 | top | bottom | tau | tau neutrino |
Why three? The Standard Model does not explain that. A muon is not a faster electron; it is a different species.
Practice what you have learned
Plain-English words
Further reading
The lessons and sketches are written for this trainer. Sketches teach relationships; they are not numerical simulations. These sources give independent explanations and formal detail.
- CERN: the Standard Model — particles, generations, and the three included forces.
- CERN: the Higgs mechanism — background field and elementary mass.
- CERN: antimatter — particle/antiparticle relationships.
- Antonio Pich: The Standard Model of Electroweak Interactions — formal gauge structure, chiral couplings, mixing, and Higgs mechanism.
- Particle Data Group — particle properties and physics reviews.
- PDG: Neutrino Masses, Mixing, and Oscillations — flavor and mass states.
- CERN: quark mixing and CP violation — the CKM connection.
- Oxford: Feynman diagrams and amplitudes — the formal calculation method.
- PDG: Quantum Chromodynamics — perturbative and strongly coupled QCD.
- CERN: Higgs potential and symmetry breaking — the Mexican-hat picture and its limits.
- PDG: Quantum Chromodynamics (2025) — running coupling and strong CP term.
- PDG: Tests of Conservation Laws — baryon and lepton number qualifications.
- PDG: Quark Model (2025) — exotic hadron classifications.
- CERN: Gargamelle — neutral current evidence.
- Fermilab: top-quark discovery — experimental history.
Progress controls
Reset removes this trainer’s lesson completion and checkpoint records in this browser. It does not change the file.