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Library of human understanding

Quantum Mechanics

The strangest theory ever to be right about everything it has been tested on.

In 1900 a conservative German professor patched a formula to fit the glow of a hot oven and, almost by accident, began the biggest revision in the history of physics. Within thirty years a handful of people, most of them under thirty, had rebuilt our picture of matter. Atoms, chemistry, lasers, transistors, MRI scanners, the sunlight that powers every living thing: all of it is quantum mechanics at work.

Core concepts visualized

Heisenberg's Uncertainty Principle

PositionMomentumPreciseUncertainUncertainPreciseCannot know both

You cannot know both position and momentum with perfect precision. Measure one precisely, the other becomes uncertain.

Wave-Particle Duality

WaveMeasureParticle

Without observation: electron behaves like a wave (spreading, interfering). When measured: it acts like a particle (localized, discrete).

The Measurement Problem

Before measureAll states coexistAfter measureOne outcome only

Before measurement, the system exists in a superposition. Measurement forces it to “choose” a single outcome.

Entanglement: Spooky Connection

Particle AParticle BAny distance

Measure particle A, and B's state is instantly determined, no matter how far apart they are. Einstein called this “spooky action at a distance.”

Double-slit experiment

0 electrons
Fire a few hundred and each looks like a random dot. Keep going and bands emerge, though every electron was sent alone. Switch on ‘Watch the slits’, so each electron’s path is recorded, and the bands dissolve into one smooth hump. This is a simulation drawn from the standard interference formula, not recorded data.

Interactive Bloch sphere

Explore quantum superposition: a qubit as a point on the sphere, collapsing to |0⟩ or |1⟩ upon measurement.

Interactive superposition visualizer showing qubits, double-slit experiment, and wave interference.

Superposition is a core quantum principle: a quantum system can exist in multiple states simultaneously until measured. A qubit on the Bloch sphere occupies a point in superposition; measurement collapses it to |0⟩ or |1⟩. The double-slit experiment shows wave-particle duality: without detection, particles behave like waves and interfere with themselves; with detection determining which slit they pass through, they behave like particles with no interference. Superposition isn’t the system “trying all answers”—it’s a coherent state where all possibilities coexist as a single quantum state until observation.

Four interpretations of quantum mechanics

What isreal?CopenhagenMany-WorldsPilot-WaveObjective Collapse

Copenhagen

Bohr, Heisenberg

Wavefunction collapse is real. Superposition exists until measured.

Many-Worlds

Everett

All outcomes happen in parallel universes. No collapse, just branching.

Pilot-Wave

de Broglie, Bohm

Particles guided by hidden waves. Deterministic, but hidden variables.

Objective Collapse

GRW, Penrose

Wavefunction collapse is a physical process, not observation-induced.

All agree on every experimental prediction. They differ on what's actually real. Which interpretation is correct remains an open question.

Key physicists

From Planck to Bell: the scientists who built quantum mechanics.

Timeline

  1. 1900

    Planck proposes energy quanta to explain black-body radiation. Max Planck

  2. 1905

    Einstein explains the photoelectric effect with light quanta. Albert Einstein

  3. 1913

    Bohr's quantised atom explains the hydrogen spectrum. Niels Bohr

  4. 1924

    De Broglie proposes matter waves; Bose and Einstein found a new statistics. Louis de Broglie

  5. 1925

    Heisenberg's matrix mechanics; Pauli's exclusion principle. Werner Heisenberg

  6. 1926

    Schrödinger's wave equation; Born's probability rule. Erwin Schrödinger

  7. 1927

    Uncertainty principle; the Solvay conference and Bohr–Einstein debates begin. Niels Bohr

  8. 1928

    Dirac's relativistic equation; antimatter is predicted. Paul Dirac

  9. 1935

    The EPR paper and Schrödinger's cat and entanglement. Albert Einstein

  10. 1948

    Feynman's path integral and diagrams make quantum field theory practical. Richard Feynman

  11. 1952

    Bohm revives pilot-wave theory. David Bohm

  12. 1957

    Everett's relative-state formulation. Hugh Everett III

  13. 1964

    Bell's theorem. John Stewart Bell

  14. 1970

    Zeh discovers decoherence. H. Dieter Zeh

  15. 1982

    Aspect's experiments; no-cloning theorem. John Clauser, Alain Aspect

  16. 2015

    Loophole-free Bell tests in Delft, Vienna and Boulder. John Clauser, Alain Aspect

  17. 2022

    Clauser, Aspect and Zeilinger receive the Nobel Prize in Physics. John Clauser, Alain Aspect

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