Quantum Lab
Interactive mathematical instruments visualizing foundational principles of quantum mechanics, wave mechanics, and non-local correlations.
Welcome to the Quantum Lab. The subatomic world resists classical intuition; the mathematical equations governing particles cannot be directly photographed or experienced with human senses.
To aid conceptual comprehension, this platform utilizes simplified visual models and mechanical analogies. Every visualization is an approximation: particles are not tiny billiard balls, wave functions are complex probability amplitudes rather than ocean swells, and quantum states exist in abstract Hilbert space. Review the designated limitation badge on each interactive instrument to understand precisely where the visual metaphor concludes and the rigorous mathematics begins.
Interactive simulations represent mathematical approximations for visual inquiry. Discrepancies between visual models and field equations are indicated within each experiment's boundary notes.
Interactive Quantum Instruments
Manipulate parameters across live quantum simulations. Observe real wave equations, wavefunction collapse, and Bell inequality tests computed directly in the browser.
Double-Slit Interference
Wave interference & which-path decoherence
Wider slit spacing produces tighter, more frequent interference fringes.
Longer wavelength expands fringe separation: Δy = λL / d.
What you are seeing
Even when electrons or photons are fired single-particle at a time through two slits, each particle appears to pass through both paths as a wave of probability amplitudes. Over repeated clicks, the random hits assemble an interference pattern matching the wave equation I = cos²(β) · sinc²(α).
Established Science vs. Interpretation
Fact: Measuring “which slit” destroys the interference fringes mathematically via phase decoherence, leaving two classical single-slit bumps. Interpretation: Copenhagen posits wave function collapse; Many-Worlds claims the observer entangles with the particle's alternate branches.
All visual displays compute real physical quantities (probability amplitudes, Bell correlations, Born integrals) in real time without hardcoded sample animations.
Double-Slit Interference
Wave interference & which-path decoherence
Wider slit spacing produces tighter, more frequent interference fringes.
Longer wavelength expands fringe separation: Δy = λL / d.
What you are seeing
Even when electrons or photons are fired single-particle at a time through two slits, each particle appears to pass through both paths as a wave of probability amplitudes. Over repeated clicks, the random hits assemble an interference pattern matching the wave equation I = cos²(β) · sinc²(α).
Established Science vs. Interpretation
Fact: Measuring “which slit” destroys the interference fringes mathematically via phase decoherence, leaving two classical single-slit bumps. Interpretation: Copenhagen posits wave function collapse; Many-Worlds claims the observer entangles with the particle's alternate branches.
Foundational Mechanics Reference
Essential physical principles visualized through calibrated mathematical models, paired with verified physical disclaimers.
An unmeasured particle exists as a linear combination of all its possible physical states, mathematically represented by a continuous wave function.
Model Limitation: Our illustration portrays a particle rapidly flickering across multiple coordinates; in reality, the particle possesses no definite position between measurements.