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An interactive guide to quantum foundations

One equation.
Different realities.

Every interpretation of quantum mechanics agrees on the mathematics. They disagree about what reality is.

ONE STATE, EVOLVING SMOOTHLYA MEASUREMENTCOPENHAGENthe wave collapsedMANY WORLDSevery outcome happenedPILOT WAVEthe particle was guidedOBJECTIVE COLLAPSEnature collapsed itQBISMyou updated your betsRELATIONALa fact, for the screenCONSISTENT HISTORIESone consistent history

One quantum state evolves smoothly — until a measurement. What happens next depends on who you ask.

01 — The problem

The math works. The meaning doesn't.

A century of flawless predictions rests on three facts that refuse to fit everyday reality.

Superposition

Before you look, a system holds several outcomes at once, in definite proportions.

Measurement

Looking seems to change what is there. And nothing in the theory says what counts as looking.

Nonlocality

Measure here, and something is instantly settled far away — with no signal travelling in between.

02 — One equation

All of it follows from one line.

Written in 1926. Never once contradicted by an experiment. Take each term in turn — hover, focus or tap it.

i​ħ t|ψ⟩ = Ĥ |ψ⟩
change in timeThe state evolves smoothly and predictably.the quantum stateEverything that can be known about the system.total energyThe Hamiltonian: how the system's parts push on each other.

Everything that follows on this site is an argument about what this equation means — never about what it predicts.

04 — The experiment room

Same experiment. Switch the reality.

The double slit below never changes. Only the explanation does. This is the whole idea of the site — try it.

Fig. 01 — Double slit
SOURCETWO SLITSSCREENWHAT ISOBSERVEDCOLLAPSE —ONE CLICK
Copenhagen: The wave function is a tool for predictions. Measurement makes outcomes real.
Copenhagen: the wave function is a prediction tool; measurement makes one outcome real.
05 — Side by side

Where they part ways.

Eight questions separate the seven interpretations. Three of the seven, previewed.

QuestionCopenhagenMany WorldsPilot Wave
Collapse?YesThe textbook projection postulateNoNeverNoNever
Deterministic?NoYesGloballyYes
Hidden variables?NoNoYesParticle positions
Multiple universes?NoYesBranching worldsNo
Observer dependent?DependsNeeds a classical sideNoNo
Adds new physics?NoNoDependsGuidance equation
Explicitly nonlocal?DependsCorrelations, no storyNoNo action at a distance, supporters argueYesGuidance is instantaneous
06 — A century of argument

No one has ever conceded.

The experiments keep agreeing with the equation. The argument about reality keeps sharpening.

  1. 1926
    Schrödinger writes the wave equationThe mathematics everyone will agree on — the argument starts immediately.
  2. 1927
    Bohr and Heisenberg set the toneComplementarity and uncertainty. The name comes much later — Heisenberg coined it in 1955.
  3. 1935
    Einstein and the cat push backEPR and Schrödinger's box argue the orthodoxy leaves reality undefined.
  4. 1952
    Bohm revives the pilot waveParticles with definite positions, steered by the wave. Dismissed in 1927, workable after all.
  5. 1957
    Everett proposes many worldsDrop collapse entirely. Everett called it relative states; DeWitt named it many worlds in 1970.
  6. 1964
    Bell's theoremLocal hidden variables make different predictions. The question becomes testable.
  7. 1984
    Consistent historiesGriffiths, then Omnès, Gell-Mann and Hartle: probabilities for whole histories — measurement not required.
  8. 1986
    GRW: collapse as physicsMaybe the wave function collapses on its own — rarely for atoms, instantly for cats.
  9. 1996
    Relational quantum mechanicsRovelli: states are relations. A fact for the screen isn't yet a fact for you.
  10. 2002
    QBismFuchs and colleagues: the wave function is an agent's betting book.
  11. 2015
    Loophole-free Bell testsDelft, Vienna, Boulder: no local hidden-variable theory can reproduce the correlations.
07 — Keep going

Further reading.

Book

What Is Real?

Adam Becker

The history of the argument — and how Copenhagen won by default.

Book

Something Deeply Hidden

Sean Carroll

The case for many worlds, made carefully and in plain language.

Book

Quantum Mechanics and Experience

David Z Albert

A short, sharp tour of the measurement problem itself.

Every interactive model on this site is a conceptual representation — a teaching picture, not a simulation of the underlying physics. Where interpretations disagree, the site says who claims what; where experiments can decide, it says that too.

Sources & disclaimers