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Physics · Standard Model · TopicTratopedia · v0001 · 2 Sep 2026

The standing summary, from four records

Standard Model

The theory that classifies every known elementary particle and describes three of the four known forces. It is the most precisely tested theory in physics and it is known to be unfinished, and those two facts sit together without difficulty once its two kinds of shortfall are kept apart: the anomalies, where a prediction and a measurement disagree, and the omissions, where the theory makes no prediction at all. The four records this summary is written from show the first kind closing, repeatedly, and the second kind not moving.

Four numbers that locate it each from the record that established it

  • 19constants the theory receives from experiment and cannot derive
  • 3 / 4forces described. Gravity is not among them
  • 0.13 pptthe electron magnetic moment, the most precisely known property of any elementary particle
  • 0.60 σmuon g−2, once the most promising crack in the theory

How much of this is established the theory, and the four kinds of thing said about it

StandingWhatWhere it is set out
ConfirmedThe content: three generations, six quarks, six leptons, four force carriers and the Higgs, under an SU(3) × SU(2) × U(1) symmetrythe nineteen constants
ConfirmedSix leptons, in three generations — though the word was coined in 1948 for a class with two memberssix leptons, one word
ConfirmedOf four lepton measurements that disagreed with the theory, three are gone and one was right — and the neutrinos it was right about still have no mass in the theoryfour anomalies, one survivor
OpenThe sharpest test the theory has cannot be sharpened further: the two best measurements of the fine-structure constant disagree by 5.5 σthe electron, to thirteen digits
Outside the theoryGravity, dark matter, dark energy, the matter–antimatter asymmetry, the strong CP problem and the hierarchy problemthe six omissions

A theory finished before most of its particles were found dates as the four records give them

  1. 1948The word lepton is coined, for a class with two members
  2. 1967The Higgs mechanism goes into the electroweak interaction, giving the theory its modern form
  3. 1975The term Standard Model is published — with a competing claim to a 1973 talk
  4. 1983W± and Z⁰ are found, at the mass ratio the theory predicted
  5. 1989The number of generations is published — eleven years before the sixth lepton is seen
  6. 1998Neutrinos are shown to oscillate: the one anomaly of the four that was right
  7. 2012The Higgs boson completes the predicted particle content
  8. 2019The elementary charge stops being measured and becomes exact by definition
  9. 2022R(K) returns to the theory: same observable, same collaboration, better analysis
  10. 2025Muon g−2 closes to 0.60 σ because the prediction moved, not the measurement

The limit has moved from the measurement to the calculation what the four records have in common

Three of the four records end at the same place, and none of them set out to. The electron’s magnetic moment is measured to 0.13 parts per trillion and still cannot sharpen the test it was made for, because the two best measurements of the fine-structure constant disagree by 5.5 σ and the theory needs that constant as an input. Muon g−2 closed not because the experiment improved — it got four times sharper and did not move — but because the prediction was recalculated; the theory’s uncertainty there is now four times the experiment’s. R(K) returned to the theory on the same data with a better analysis.

The pattern is one thing: where this theory is tested hardest, the experiment is no longer the weaker side. That is an unusual position for a physical theory to be in, and it is the reason the surviving disagreements are so hard to adjudicate — they turn on how well a difficult calculation can be done, not on how well a quantity can be measured.

  • 0.13 pptmeasured, and it still cannot settle the question it was built for
  • 4 ×the theory’s uncertainty against the experiment’s, for muon g−2

Anomalies close; omissions do not the distinction the four records make together

An anomaly is a subtraction between a prediction and a measurement, so it has two sides and either can be the one that was wrong. Of the four lepton anomalies on record here, one was right and the theory changed to accommodate it; one was excluded by a better experiment; one was withdrawn; and one dissolved without the measurement moving at all. That is four different endings, and only one of them was a bad measurement.

The omissions have no subtraction in them. The theory offers no dark matter candidate, so there is no prediction for a measurement to disagree with; dark matter is 84% of all the matter there is, and the theory that classifies every known elementary particle accounts for the other sixteen. No experiment can close a gap of that kind, because there is nothing on the theory’s side of it to compare against. A theory whose anomalies keep closing is not thereby a theory that is nearly finished — and the reverse also holds: being visibly unfinished is not evidence that any of its predictions are wrong.

Where the records disagree with the popular account four things that are widely said and are not what the sources show

Widely saidWhat the records show
The Standard Model is failing its testsIts most famous discrepancy closed in 2025, and its sharpest test is limited by an input constant whose own measurements disagree. The tests are not what is failing
Dark matter is a failed predictionThere is no prediction. The theory contains no particle with the required properties, so nothing was predicted and nothing came out wrong
Proton-decay searches test the theoryThe theory does not predict the proton decays at all. Those limits constrain the grand unified theories that would sit underneath it
An anomaly that disappears was a measurement errorOf four here, only one was. One was right, one was excluded by a better experiment, one was withdrawn, and muon g−2 dissolved while its measurement got four times sharper and did not move

So what how to read the next result about this theory

Ask which side of the subtraction moved

Every reported tension is a prediction minus a measurement. When one closes or opens, the question that decides what it means is which of the two changed — and on this theory’s hardest tests it is now more often the prediction.

Keep the anomalies and the omissions in separate columns

They are not degrees of the same trouble. No experiment can supply a force the theory does not contain, and no precision explains why nineteen constants take the values they do. A page that mixes the two will tell a reader the theory is collapsing when what it is doing is holding, visibly unfinished.

What this summary is written from

Four records, no new fetching, and each of them carries its own sources and its own uncertainties. Where a figure here is rounded or derived, the article it came from shows the working.

You are reading v0001, published 2026-09-02. It has been superseded — the current version is v0002.

Articles on this topic

In reading order. A series is kept together and starts at its first part.

  • · The theory, and the shape of what it leaves out

    Nineteen Numbers, Three Forces of Four

    The Standard Model is described two ways at once: as the most precisely tested theory in physics, and as a theory known to be incomplete. Both are true, and they are not in tension — because they are about different…

  • · A category proposed for two particles, outgrown twice, and still the name of the family

    Six Leptons, a Word Made for Two

    Six leptons are usually told as six discoveries with dates beside them. Read against the papers that announced them — and the positron’s, which belongs to the same story — four of those announcements went out under a…

  • · Three of them are gone, and they went in three different ways

    Four Lepton Anomalies, One Survivor

    Between 1998 and 2025, four measurements involving leptons disagreed with the Standard Model at a level the field took seriously. One of them was right, and it is why neutrinos are known to have mass. The other three…

  • · Measured to 0.13 parts per trillion · and unable to sharpen the test it was made for

    The Electron, to Thirteen Digits

    No property of any elementary particle is known as precisely as the electron’s magnetic moment: thirteen digits, measured at Northwestern in 2023 and published as a test of the Standard Model to one part in a trillion.…

Versions

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  1. v0002 current
  2. v0001 superseded

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