theory

quantum law

The set of physical laws governing the behavior of matter and energy at the quantum scale.
8 related articles

Description

Quantum laws are the set of physical principles that govern the behavior of matter and energy at the atomic and subatomic scales. Unlike classical physics, these laws introduce concepts such as quantization of energy, wave-particle duality, and probabilistic outcomes. They are essential for understanding phenomena like the stability of atoms, the behavior of electrons in solids, and the emission of light.

History

The laws were developed in the early 20th century by Max Planck, Albert Einstein, Niels Bohr, Werner Heisenberg, Erwin Schrödinger, and others, culminating in the formulation of quantum mechanics around 1925.

How it works

Quantum laws are mathematically formulated using wave functions and operators. The Schrödinger equation describes how the wave function evolves over time, and the Born rule gives the probability of finding a particle in a particular state. These laws replace deterministic trajectories with probability distributions, and they explain effects like superposition and entanglement, which have no classical analogs.

In practice

They underpin modern technologies such as semiconductors, lasers, and magnetic resonance imaging, and are the basis for emerging quantum computing and cryptography.

Fun fact

Quantum laws allow particles to pass through barriers they classically could not, a phenomenon known as quantum tunneling, which is exploited in flash memory and scanning tunneling microscopes.

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Related articles · 8

cs.SC2026-09-082 minarXiv:2609.08536
The Ecology of Physical Laws: A Map of Coexisting Mechanisms
In a rubber band stretched in the lab, three different elasticity mechanisms operate simultaneously. At small strains, Hooke's law prevails; at intermediate strains, entropic chain elasticity; at large strains, strain-induced crystallization.
Plasma waveguide for twisted electrons
A laser pulse slams into a gas cloud and knocks electrons out of it, leaving behind a bubble: a cavity almost devoid of particles. This bubble races through the plasma at nearly the speed of light, and its walls drag along the electrons trapped inside, much like a speedboat tows a water skier.
Quantum Physics2026-08-061 minarXiv:2608.05753express
Why Redundant Records Generate Work
In the quantum world, a fact becomes objective when its value is imprinted on many independent fragments of the environment, like a notice posted on hundreds of bulletin boards across the city. Each copy alone adds no new information, but it changes the rules of the game for anyone trying to erase that information.
General Relativity2026-06-021 minarXiv:2606.03671express
When a Quantum Particle Blurs Causality
Light cones are not about light; they are boundaries in spacetime that separate causes from effects. These cones are not rigid: a massive object curves them, like a heavy ball pressing into a stretched sheet.
Cosmology2026-05-312 minarXiv:2606.01360express
Dark Energy That Changes Sign
Our universe isn't just expanding: it's doing so faster and faster. It's like raisin bread dough in the oven: the raisins move apart, and the farther they've already separated, the faster they continue to recede. The strange force pushing the cosmos apart is called dark energy. Most scientists think it's constant, like a permanent spring built into the very fabric of space.
Quantum Physics2026-04-132 minarXiv:2604.11968express
The Secret Link Between Past and Future in the Quantum World: A Model with Backward Time
A typical recipe explains how to cook a dish: step by step, from the initial ingredients to the finished result. The new approach flips the logic: imagine that the future pie itself dictates how much flour to add now. In the quantum world, researchers suggest, a particle receives signals from the future measurement outcome.
Quantum Physics2025-10-151 minarXiv:2510.13247express
Quantum Mind? Can't Do Without the Classical
Intelligent action begins with a plan. Just as an architect needs blueprints to evaluate options, any agent with will needs to repeatedly copy data about reality.
Quantum Decay Tail: How the Memory of Birth Depends on Color
A quantum system, once born, does not forget it. Even after dozens of lifetimes, a trace of the initial state remains in its decay: a slowly decreasing power-law tail. For two fluorescent dyes, erythrosine B and eosin Y, this tail has been observed for the first time in two spectral channels simultaneously.