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Grasping
Grasping · Quantum mechanics

Six experiments that broke classical intuition.

From Young's 1804 slits to Wheeler's delayed-choice, the double-slit is the single experiment that refuses to fit. Six sections, each interactive. No mysticism — the resolution is Feynman's path integral.

01 · Young 1804

Light is a wave.

Two coherent sources produce bright and dark fringes where wave crests add or cancel. Slide the wavelength, slit separation and screen distance. The fringe spacing follows x = λL/d.

Wavelength λ0.025
Slit separation d0.10
Fringe spacing0.2500
02 · Tonomura 1989 · Fein 2019

One particle is enough.

Even with a single quantum in the apparatus at any time, the interference pattern builds up dot by dot. The pattern is not a collective wave phenomenon — it exists per particle. Pick a mass: from a single photon to a 25 kDa oligoporphyrin (Fein-Geyer-Arndt 2019, still showing 90 % visibility).

Particle
Rate45/s
de Broglie wavelength5.4 pm
Detections0
Rate45/s
03 · Englert 1996 · Dürr-Rempe 1998

Watching destroys the pattern.

The instant the apparatus could in principle reveal which slit the particle went through, the fringes wash out into a classical sum. Englert formalised this with the inequality V² + K² ≤ 1: full which-way information K = 1 forces visibility V = 0, and vice versa. No consciousness needed — a sliver of paper behind a slit suffices.

screen
V² + K² ≤ 1
Which-way information K0.00
V = 1.000
The marker dot sits on or inside the unit circle V² + K² = 1. The pure quantum regime lives exactly on the boundary; classical mixtures pull it inwards. Slide K from 0 to 1 and watch both happen.
04 · Feynman 1948

Every path contributes.

Feynman's path integral: the particle does not 'choose' a slit. Every conceivable trajectory contributes an amplitude e^(iS/ℏ), the sum gives the probability. Classical trajectories emerge as the stationary-phase pile-up. Move the screen target — watch the rotating phasor sum bend into constructive or destructive interference live.

Paths · 80
Phasor sum |Σ|
ℏ scale1.00
Target y on screen0.00
Classical limitQuantum
05 · Walborn 2002 · Scully-Drühl 1982

Erase the knowledge — the fringes return.

A pair of entangled photons born together via SPDC. One photon (Signal) goes through the slits with quarter-wave plates that mark its polarisation per slit. The fringes are gone. But measure the partner photon (Idler) in the complementary basis and you erase the which-way information — fringes reappear in coincidence. Critical: the marginal distribution of Signal never changes. Information does not flow backwards.

Signal marginal
Coincidence · eraser
Coincidence · anti-fringes
Idler polariser angle45°
V = 0.000
All three plots are real-data behaviour. The marginal (all signal photons, regardless of idler outcome) is always streifenlos. Fringes only emerge in the subensembles sorted by idler. No retroactive signal — entanglement reveals correlation, not causation.
06 · Wheeler 1978 · Jacques 2007

Decide after the photon entered.

Wheeler's gedanken: only after a photon has passed the first beam splitter, decide whether to put a second one in place (interferometer → wave behaviour) or leave it open (which-path → particle behaviour). Jacques et al. 2007 realised this with a 48 m Mach-Zehnder, an electro-optic modulator switching in under 40 ns, and space-like separation. The photon shows the matching behaviour either way.

BS2 (second splitter)
D0 0D1 0
Consensus 2024-2025 (arXiv 2510.23539, Ellerman): no retrocausality. The photon does not have a definite wave/particle property before measurement — that is the resolution. The 'mystery' is the separation fallacy.
How the visualisation works

Section 1 renders the 2D wave field with 1/√r damping — a cylindrical-wave idealisation; the real free-space wave falls as 1/r. Section 2 samples from P(y) ∝ cos²(πdy/(λL)) with a Gaussian envelope. The on-screen wavelengths are visual scalings; the de-Broglie readout shows the real values (electron 50 keV → 5.4 pm relativistic, C₆₀ from Arndt-Zeilinger 1999 at ~220 m/s, 25 kDa oligoporphyrin from Fein-Geyer-Arndt 2019 at 175 m/s). Section 4 uses the optical action approximation S = p·L; the ℏ slider is a visualisation parameter, not the actual constant. Section 5 plots the clean Walborn theory V = |cos 2θ|, not sampled data. Section 6 simplifies BS2-in to always D₁ (phase difference 0); a real Mach-Zehnder shows an interference pattern as a function of arm-length difference.

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