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Quantum mechanics is a fundamental theory in physics that describes the behavior of matter and energy at the atomic and subatomic levels, characterized by quantization and probabilistic outcomes.

Maxwell's equations are a set of four fundamental equations that describe the behavior of electric and magnetic fields and their interactions with matter, unifying electricity, magnetism, and light.

Cell theory is a cornerstone of modern biology asserting that all life consists of cells. It highlights the fundamental unit of biological organization and explains how new cells develop from existing ones. This theory is essential for understanding diverse organisms, from bacteria to humans, and re...

General relativity describes gravity not as a force, but as the curvature of spacetime caused by mass and energy, influencing how objects move within it.

Noether's theorem demonstrates a fundamental relationship in physics: for every continuous symmetry in a physical system, there exists a corresponding conserved quantity, like energy from time translation symmetry.

The law of conservation of energy states that the total energy of an isolated system remains constant; it can transform between forms (like kinetic and potential), but is neither created nor destroyed.

Newton’s Laws describe inertia (objects resist changes in motion), force causing acceleration proportional to mass (F=ma), and action-reaction pairs—for every force, there's an equal & opposite one.

CRISPR-Cas9 is a technology enabling targeted changes to DNA. It utilizes a protein complex to locate and modify specific genetic sequences within an organism’s genome. This method represents a significant advance in biological research allowing scientists to investigate gene function and develop po...

Mass-energy equivalence, expressed by Einstein's famous equation E=mc², states that mass and energy are fundamentally interchangeable; a small amount of mass can be converted into a tremendous amount of energy, and vice versa.

The second law of thermodynamics states that the total entropy of an isolated system can only increase over time or remain constant in ideal cases, signifying a natural progression towards disorder.

Special relativity, proposed by Einstein, describes how space and time are intertwined for observers in uniform motion, fundamentally altering concepts of simultaneity and length at high velocities approaching the speed of light.

The Schrödinger equation is a fundamental equation in quantum mechanics that describes how the wave function of a particle changes over time, dictating its probability distribution and energy levels.

The first law of thermodynamics states that the total energy of an isolated system remains constant; energy can be transformed from one form to another but cannot be created or destroyed.

The Human Genome Project was an ambitious international effort to determine the complete sequence of human DNA. Completed in 2003, it represents a foundational achievement in biology. This project mapped all genes within the human genome providing scientists with a comprehensive reference for unders...

In a closed system, the total momentum remains constant; meaning the vector sum of momenta of objects before an interaction equals the sum after, regardless of internal forces.

Quantum Electrodynamics (QED) is the quantum field theory describing light and matter interactions, accurately predicting electromagnetic phenomena by treating photons as force-carrying particles exchanged between charged entities.

The Standard Model is a theoretical framework describing fundamental particles and forces—electromagnetic, weak, and strong—excluding gravity, and categorizing them into quarks, leptons, and bosons.

A qubit, the basic unit of quantum information, can exist in a superposition of states – simultaneously representing 0, 1, or a combination thereof – unlike classical bits which are definitively either 0 or 1.

The Pauli Exclusion Principle states that two identical fermions—like electrons—cannot occupy the same quantum state simultaneously within a system.

The Controlled-NOT (CNOT) gate is a fundamental two-qubit quantum logic gate that flips the target qubit's state based on the control qubit’s state, enabling entanglement and complex quantum computations.

In thermodynamics, entropy is a measure of disorder or randomness within a system; it quantifies the number of possible microscopic arrangements that result in the same macroscopic state.

The Big Bang theory posits that the universe originated from an extremely hot, dense state approximately 13.8 billion years ago and has been expanding and cooling ever since.

The principle of least action states that the path a physical system takes between two points in time minimizes a quantity called "action," which is related to energy and time.

Wave-particle duality posits that all matter exhibits properties of both waves, like diffraction, and particles, possessing localized energy and momentum, challenging classical descriptions.

Quantum entanglement links two or more particles in such a way that they share the same fate, no matter how far apart they are; measuring one instantly influences the state of the other.

A density matrix describes the state of a quantum system, even when that state is unknown or entangled, by representing probabilities across possible pure states and their mixtures.

Lorentz invariance dictates that the laws of physics remain unchanged for all observers in uniform motion relative to one another, reflecting the symmetry between different inertial frames of reference.

The Dirac equation is a relativistic quantum mechanical equation that describes fermions—particles possessing intrinsic angular momentum—and predicts the existence of antimatter.

The photoelectric effect is the emission of electrons from a material when light shines on it, with the ejected electrons' energy dependent on light frequency, not intensity.