PhysicsThought experimentDebated★ Famous

Schrödinger's Cat

Also known as Schrödinger's Katze, The cat paradox

A cat sealed in a box, neither alive nor dead until somebody looks. The story was invented to show the idea was absurd.

When
1935
Difficulty
Intermediate
Reading time
14 min
People
Erwin Schrödinger,Albert Einstein,Niels Bohr,Hugh Everett III

Thought experiment. Not a proof but a probe. Its value is in the disagreement it reveals about concepts like identity, personhood, or responsibility.

Discover

In 1935 a physicist named Erwin Schrödinger got fed up.

His colleagues had a way of talking about tiny things — atoms, electrons — that he thought was sloppy. They would say an atom is in both of two states at once, and only settles into one when somebody measures it. Fine for atoms, maybe. But Schrödinger wanted to know where that stops.

So he invented the silliest example he could think of.

Imagine a steel box. Inside is a cat, and a tiny lump of radioactive stuff, and a Rube Goldberg machine: if a single atom in that lump decays, a detector notices, a hammer swings, a flask of poison breaks. If no atom decays, nothing happens and the cat is fine. Set the amount so that after an hour there is an even chance either way. Close the lid.

Now, said Schrödinger, if you really believe atoms are in two states at once, and the cat's fate is chained to the atom, then you have to say the cat is somehow both alive and dead until you open the lid.

And here is the part almost everybody gets backwards. Schrödinger was not announcing a marvel. He was making fun of it. He called the setup a burlesque — a joke case. His point was: look how ridiculous your idea sounds when I scale it up to something with whiskers.

He expected people to laugh and then fix the idea.

Ninety years later, nobody has quite fixed it.

Understand

What the physics actually says about small things

Quantum mechanics describes a system with a mathematical object called the wave function. For a single atom, the wave function can hold two possibilities — say "not yet decayed" and "already decayed" — added together. This is called a superposition.

It is not merely that we do not know which one is true. If it were only ignorance, the two possibilities could never interfere with each other, and interference is exactly what experiments show. Fire particles one at a time at a pair of slits and a striped pattern builds up, which only makes sense if each particle's two routes are combined and can cancel out. Superposition earns its keep. It is not a way of speaking; it is what makes the predictions come out right.

The problem Schrödinger was pointing at

There is a second rule bolted onto the first. When you measure the system, the superposition disappears and you get exactly one outcome, with a probability given by the wave function. This is usually called collapse.

Two rules, and no statement anywhere of when to use which. The equations that govern how the wave function evolves are perfectly smooth and never collapse anything. Collapse is an extra postulate, applied when a "measurement" happens — but "measurement" is not defined in the theory. It is not a word the mathematics knows.

Schrödinger's cat is a machine for exposing that gap. The chain runs atom → detector → hammer → flask → cat, and every link is made of ordinary matter obeying ordinary physics. If the first link can be in a superposition and nothing in the theory says where collapse kicks in, the theory as literally written predicts a superposition of a live cat and a dead cat. Schrödinger's verdict: that shows something is missing from the theory, not that cats are strange.

He was blunt about it. He wrote that the wave function of the whole box would have living and dead cat "smeared out in equal parts", and called this a case where "an indeterminacy originally restricted to the atomic domain becomes transformed into macroscopic indeterminacy" — a state of affairs he described as naive to accept as representing reality.

Why nobody has ever seen a half-dead cat

Here the last ninety years have delivered a genuine, uncontroversial advance, and it is worth separating carefully from the unresolved part.

Nothing is isolated. A cat exchanges air molecules, infrared photons, and heat with its surroundings billions of times a second. Every one of those interactions is itself a tiny measurement: the departing photon carries away a record of whether the cat is alive.

The moment the environment holds a record, the two branches of the superposition can no longer interfere. The delicate phase relationship that produces striped patterns is not destroyed — it leaks out into the environment, spread across astronomically many particles, where no realistic experiment could ever gather it back. This is called decoherence, and the timescales are absurd. For a dust grain in air the interference washes out in something like $10^{-31}$ seconds. For a cat it is vastly faster still. There is no waiting period during which anyone could observe a blurred cat, even in principle.

Decoherence also explains why the particular alternatives are "alive" and "dead" rather than some exotic combination of the two. The environment couples to position and to energy, so it is position-like, robust, everyday properties that get singled out. Wojciech Zurek named this einselection — environment-induced superselection.

So the picture is settled at the level of what you can see: a macroscopic superposition is not something you will ever observe, and quantum mechanics explains exactly why.

The part that is not settled

Decoherence tells you why you never see interference between a live cat and a dead one. It does not tell you why there is one cat.

After decoherence, the mathematics still contains both branches. What it no longer contains is any cross-term linking them — the state has become, for all practical purposes, indistinguishable from a mere list of possibilities with probabilities attached. But "for all practical purposes" is doing a great deal of work. Nothing in the equations has removed a branch. Something still has to be said about why your experience contains a single definite outcome.

That gap is called the measurement problem, and it is not a puzzle awaiting a clever experiment. It is the reason competent physicists in 2026 still disagree about what quantum mechanics is saying. The cat is the shortest way to make anyone feel the force of it.

The shape of it

sealed
Both states until it is looked at. The box holds two outcomes at once. Opening it is not discovering which was already true — that is exactly the part nobody agrees on.

Examples

The atom is real; the cat is a prop. Individual atoms genuinely are put into superpositions, routinely, in laboratories. A single trapped ion can be prepared in two internal energy states at once and made to interfere with itself. The question the cat raises is not whether superposition is real but whether it has an upper size limit.

How big has anyone got? The record keeps moving. Anton Zeilinger's group sent C60 molecules — 60 carbon atoms, a football-shaped cage — through a diffraction grating in 1999 and saw interference fringes. Later experiments have pushed matter-wave interference to molecules of tens of thousands of atomic mass units. Superconducting circuits carrying currents circulating in two directions at once involve billions of electrons behaving collectively.

Compare that with a cat: roughly $10^{26}$ atoms. The gap is enormous, and every attempt to close it runs into the same enemy — keeping the object isolated enough that decoherence does not win first.

A table of what the interpretations say about the box. Same experiment, same predictions, radically different stories.

Interpretation What is in the box before you look What opening the lid does
Copenhagen Not a well-posed question; the wave function is a tool for predicting outcomes Registers the outcome; talk of collapse is talk about the description
Many-worlds Both branches, equally real Entangles you; there are now two versions of you, each seeing one cat
Objective collapse (GRW) A definite cat — collapse happened long before, spontaneously Nothing special; you learn a fact
Bohmian mechanics A definite cat, guided by a wave that does have both branches Nothing special; you learn a fact
QBism Your personal expectations about what you will find Updates your beliefs

The crucial point: no experiment yet performed distinguishes between these. That is why the disagreement persists.

Explore

The interpretations below are genuinely competing. Presenting one as the answer would misrepresent the state of physics.…

The interpretations below are genuinely competing. Presenting one as the answer would misrepresent the state of physics.

Copenhagen

The loose family of views associated with Niels Bohr and Werner Heisenberg. The wave function is not a picture of a cat; it is a device for computing the probabilities of outcomes on classical measuring apparatus. Questions about what the cat is doing between preparation and observation are, on Bohr's account, not questions physics answers, because the description of a quantum system is inseparable from the experimental arrangement that probes it.

The strength: it never makes a wrong prediction and demands no extra structure. The complaint, pressed hard by Einstein and by Schrödinger himself: it draws a line between "quantum system" and "classical apparatus" without saying where the line is or what puts it there. The apparatus is made of atoms too.

Many-worlds (Everett)

Hugh Everett's 1957 proposal simply deletes the collapse postulate. The Schrödinger equation applies always and everywhere. When you open the box you become entangled with it, and the universal wave function now contains a branch with a live cat and a happy you, and a branch with a dead cat and a sad you. Both are real; each version of you sees one definite result.

The strength: one rule instead of two, no vague "measurement", and decoherence explains why the branches never interfere. The standing difficulty is probability. If every outcome happens, it is not obvious what the number 0.5 means, and the various attempts to derive the Born rule from decision theory inside the Everett picture — David Deutsch's and David Wallace's in particular — are not accepted by everyone.

Objective collapse

Collapse is not something observers do; it is a real physical process, and the Schrödinger equation is approximately but not exactly right. The 1986 model of GianCarlo Ghirardi, Alberto Rimini and Tullio Weber adds random spontaneous localisations at a rate so low that a single particle is essentially unaffected, but so amplified by the number of particles that any macroscopic object localises in a fraction of a microsecond. The cat is definite because collapse really happened, long before anyone looked.

The strength: it answers the question directly and it is not an interpretation at all — it is a different theory that makes different predictions, so experiments can rule it out. Interferometry with ever-larger masses and searches for the tiny anomalous heating the models predict have already excluded large regions of the parameter space. That is real scientific progress on a question usually treated as philosophical.

Bohmian mechanics

Particles always have definite positions, and the wave function is a real field that guides them via a deterministic equation of motion. The cat is alive or dead throughout; the wave function's other branch persists but becomes empty and ceases to influence the particles. All standard quantum predictions are recovered exactly.

The price is explicit and its advocates say it openly: the guiding equation is non-local. What happens at one place depends instantaneously on the configuration elsewhere. After Bell's theorem this is less of an embarrassment than it once seemed, since no local theory of the kind Einstein wanted survives anyway.

QBism

On the Quantum Bayesian view developed by Christopher Fuchs, Rüdiger Schack and Carlton Caves, the wave function is not a property of the cat at all. It encodes a particular agent's personal degrees of belief about what they will experience. Collapse is nothing more dramatic than a person updating their expectations when something happens to them. There is no paradox because there was never a claim that the box contains a smeared cat.

The complaint: critics argue this purchases dissolution of the puzzle by declining to say what the world is like when nobody is looking, which is precisely what many people wanted physics for.

What everyone agrees on

Three things are not in dispute and should not be muddled with the above:

  1. The predictions of quantum mechanics are the same on every interpretation and are confirmed to extraordinary precision.
  2. Decoherence is real, calculable, measurable, and explains the absence of observed macroscopic interference.
  3. The cat was Schrödinger's criticism, not his creed.

Historical context

1926. Schrödinger publishes the wave equation. He initially hopes the wave function describes a real, smeared-out physical…

1926. Schrödinger publishes the wave equation. He initially hopes the wave function describes a real, smeared-out physical density of charge. Max Born's probabilistic reading, also 1926, wins the argument, and Schrödinger never becomes comfortable with it.

1927–1930. Einstein and Bohr conduct their famous exchanges at the Solvay conferences, with Einstein proposing ingenious thought experiments and Bohr answering them.

May 1935. Einstein, Podolsky and Rosen publish their argument that the quantum description is incomplete. Schrödinger writes to Einstein, delighted; Einstein writes back with a simpler version of the argument involving two boxes and a ball, and, in a related letter, the example of an unstable gunpowder keg that the formalism would describe as both exploded and unexploded.

November–December 1935. Schrödinger publishes "Die gegenwärtige Situation in der Quantenmechanik" in Naturwissenschaften, in three instalments. The cat occupies a single paragraph of a long essay. The same essay introduces the term Verschränkung, entanglement, and calls it "the characteristic trait of quantum mechanics, the one that enforces its entire departure from classical lines of thought." Schrödinger's own summary of the cat is that it prevents us "from so naively accepting as valid a 'blurred model' for representing reality."

1957. Everett's relative-state formulation. Bryce DeWitt popularises it as "many worlds" in the 1970s and gives the cat scenario a new reading.

1970 onwards. H. Dieter Zeh, then Zurek in the 1980s, develop decoherence theory and show quantitatively why macroscopic superpositions are unobservable.

1986. GRW gives the first workable theory in which collapse is a physical process, making the cat question empirically testable rather than purely interpretive.

1996 onwards. Serge Haroche's group in Paris creates "cat states" of a few photons in a microwave cavity and watches decoherence happen in real time, tracking the loss of coherence as it occurs. Haroche shares the 2012 Nobel Prize in Physics with David Wineland for this line of work.

A note on the legend. Schrödinger is very often quoted as a mystic of indeterminacy, and the cat is routinely used to argue that observation creates reality. This inverts his position. He was among quantum theory's sharpest critics, and his cat was a weapon aimed at exactly the reading it is now used to support.

Why it matters

It made a vague discomfort into a specific technical problem. Before the cat, unease about measurement could be waved away as…

It made a vague discomfort into a specific technical problem. Before the cat, unease about measurement could be waved away as philosophy. Afterwards there was a concrete scenario that any proposed account of quantum mechanics had to address. Every serious interpretation is judged in part on what it says about the box.

It kept foundations alive during decades when they were unfashionable. From the 1930s to the 1960s, quantum foundations was close to a career-ending field; the working attitude was "shut up and calculate". The cat, and Einstein's objections alongside it, preserved the questions that John Bell picked up in 1964 and turned into the most important experimental programme in the field.

It forced the boundary question. "Where does quantum end and classical begin?" is now an experimental discipline with instruments, budgets and a moving record, not a rhetorical flourish. Groups pursue interference with larger and larger objects and place ever-tighter bounds on spontaneous-collapse models. That research programme exists because someone insisted on scaling the question up to something absurd.

It is the reason the essay it appeared in matters. Entanglement — the concept, and the word — comes from the same paper. The single most important resource in modern quantum technology was named in the act of complaining about quantum theory.

Modern relevance

Quantum computing. A quantum computer is an engineering effort to keep a system in superposition long enough to compute with it.…

Quantum computing. A quantum computer is an engineering effort to keep a system in superposition long enough to compute with it. Decoherence is the enemy in a precise, budgeted sense: coherence times are the headline specification of every processor, and the entire discipline of quantum error correction exists to fight it. Schrödinger's thought experiment describes the central practical obstacle of a multi-billion-dollar industry.

Testing collapse models. Optomechanics experiments cool small mirrors and levitated nanoparticles towards the quantum regime, aiming to place them in spatial superpositions. Alongside underground searches for the anomalous radiation that collapse models predict, these have already ruled out sizeable parts of the GRW parameter space. This is a live experimental programme with a real chance of settling a question that began as a joke about a cat.

Cat states as a technology. "Cat state" is now standard laboratory vocabulary for a superposition of two macroscopically distinguishable states of a resonator. Some of the most promising superconducting error-correction schemes deliberately encode a logical qubit in one, because its symmetry makes certain errors easy to detect.

Public understanding. The cat is the most misused image in popular science — routinely enlisted to suggest that consciousness creates reality, or that anything ambiguous is "quantum". Correcting it is a useful exercise in a general skill: checking whether a famous example was originally offered as support for the claim it is now used to support. Here, it was offered as an attack on it.

Sources & further reading

Primary source

Paper

Encyclopedia

Elsewhere on the web

How this connects

Related to
  • The EPR ParadoxWritten in the same year, in direct response to it. Schrödinger's essay was prompted by the EPR paper and is where the word "entanglement" was coined.
  • Maxwell's DemonBoth put a hypothetical agent inside a physical system to expose an unclear boundary — there between information and thermodynamics, here between quantum and classical.
  • The Sleeping Beauty ProblemBoth ask what a well-informed agent should believe about a situation whose description seems to depend on the observer's position in it.
  • The Ship of TheseusBoth are thought experiments whose value lies in the disagreement they expose rather than in any answer they supply.
  • The Black Hole Information ParadoxUnitarity — the assumption Hawking's argument violates — is exactly the smooth Schrödinger evolution the cat's measurement problem is about.
  • The Grandfather ParadoxDeutsch's resolution of the grandfather paradox is built directly on the interpretation of quantum mechanics that the cat exposes.
Contrasts with
  • The Twin ParadoxThe twin paradox is fully resolved and only feels contradictory; the cat exposes a problem physics has not settled.

Ideas involved

  • Superposition
  • Wave function collapse
  • The measurement problem
  • Decoherence
  • Interpretations of quantum mechanics
  • Reductio ad absurdum
  • Measurement
  • Observation
  • Knowledge

Where to go next

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