Longest physics equation

In the general theory of relativitythe Einstein field equations EFE ; also known as Einstein's equations relate the geometry of spacetime to the distribution of matter within it. The equations were published by Albert Einstein in in the form of a tensor equation [2] which related the local spacetime curvature expressed by the Einstein tensor with the local energy, momentum and stress within that spacetime expressed by the stress—energy tensor. Analogously to the way that electromagnetic fields are related to the distribution of charges and currents via Maxwell's equationslongest physics equation, the EFE relate the spacetime geometry to the distribution of mass—energy, momentum and stress, that is, they determine the metric tensor of spacetime for a longest physics equation arrangement of stress—energy—momentum in the spacetime, longest physics equation. The relationship between the metric tensor and the Einstein tensor allows the EFE to be written as a set of nonlinear partial differential equations when used in this way.

The Standard Model of particle physics is often visualized as a table, similar to the periodic table of elements, and used to describe particle properties, such as mass, charge and spin. The table is also organized to represent how these teeny, tiny bits of matter interact with the fundamental forces of nature. The grand theory of almost everything actually represents a collection of several mathematical models that proved to be timeless interpretations of the laws of physics. This version of the Standard Model is written in the Lagrangian form. The Lagrangian is a fancy way of writing an equation to determine the state of a changing system and explain the maximum possible energy the system can maintain. Technically, the Standard Model can be written in several different formulations, but, despite appearances, the Lagrangian is one of the easiest and most compact ways of presenting the theory. These three lines in the Standard Model are ultraspecific to the gluon, the boson that carries the strong force.

Longest physics equation

This article summarizes equations in the theory of quantum mechanics. A fundamental physical constant occurring in quantum mechanics is the Planck constant , h. The general form of wavefunction for a system of particles, each with position r i and z-component of spin s z i. Sums are over the discrete variable s z , integrals over continuous positions r. For clarity and brevity, the coordinates are collected into tuples, the indices label the particles which cannot be done physically, but is mathematically necessary. Following are general mathematical results, used in calculations. Notice in the case of one spatial dimension, for one particle, the partial derivative reduces to an ordinary derivative. This last equation is in a very high dimension, [2] so the solutions are not easy to visualize. In what follows, B is an applied external magnetic field and the quantum numbers above are used. Contents move to sidebar hide. Article Talk. Read Edit View history. Tools Tools. Download as PDF Printable version. Classical mechanics Old quantum theory Bra—ket notation Hamiltonian Interference.

This version of the Standard Model is written in the Lagrangian form. As well as implying local energy—momentum conservation, the EFE reduce to Newton's law of longest physics equation in the limit of a weak gravitational field and velocities that are much less than the speed of light.

The Standard Model of particle physics is often visualized as a table, similar to the periodic table of elements, and used to describe particle properties, such as mass, charge and spin. The table is also organized to represent how these teeny, tiny bits of matter interact with the fundamental forces of nature. The grand theory of almost everything actually represents a collection of several mathematical models that proved to be timeless interpretations of the laws of physics. This version of the Standard Model is written in the Lagrangian form. The Lagrangian is a fancy way of writing an equation to determine the state of a changing system and explain the maximum possible energy the system can maintain. Technically, the Standard Model can be written in several different formulations, but, despite appearances, the Lagrangian is one of the easiest and most compact ways of presenting the theory. These three lines in the Standard Model are ultraspecific to the gluon, the boson that carries the strong force.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. Kinematic formulas and projectile motion. Here are the main equations you can use to analyze situations with constant acceleration. What are the kinematic formulas? The kinematic formulas are a set of formulas that relate the five kinematic variables listed below. The kinematic formulas are often written as the following four equations.

Longest physics equation

Home » Physics » What is the longest equation? The longest math equation contains around terabytes of text called the Boolean Pythagorean Triples problem. It was first proposed by California-based mathematician Ronald Graham, back in the s. It is a statement that mass and energy are two forms of the same thing, and that one can be converted into the other ibid. Boltzmann constant, symbol k , a fundamental constant of physics occurring in nearly every statistical formulation of both classical and quantum physics. Students and researchers alike have long understood that physics is challenging.

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Fundamental concepts. Principles of Quantum Mechanics. Lagrangian standard model. Archived from the original on The Matrix Dot MP4. The Standard Model of particle physics is often visualized as a table, similar to the periodic table of elements, and used to describe particle properties, such as mass, charge and spin. Introduction to general relativity 2d ed. Wikiversity has learning resources about General Relativity. Einstein then included the term with the cosmological constant to allow for a universe that is not expanding or contracting. May Read Edit View history. The EFE can then be interpreted as a set of equations dictating how stress—energy—momentum determines the curvature of spacetime. Introduction to gravitation Newton's law of universal gravitation. The general form of wavefunction for a system of particles, each with position r i and z-component of spin s z i.

Letters and numbers and odd symbols — but also a novel insight into the relationships between fundamental constituents of our physical reality. All equations crystallize something important about the universe, whether it be the relationship between mass and energy, the gravitational attraction between two bodies or the sides of a triangle.

Bibcode : CMaPh.. Equations Formalisms. Photons carry electromagnetism, gluons carry the strong force and W and Z bosons carry the weak force. Bibcode : Natur. This linearization procedure can be used to investigate the phenomena of gravitational radiation. Almost half of this equation is dedicated to explaining interactions between bosons, particularly W and Z bosons. According to this formulation, matter particles come in three generations, each with different masses. The four Bianchi identities reduce the number of independent equations from 10 to 6, leaving the metric with four gauge-fixing degrees of freedom , which correspond to the freedom to choose a coordinate system. The existence of a cosmological constant is thus equivalent to the existence of a vacuum energy and a pressure of opposite sign. Wikibooks has a book on the topic of: General Relativity. Main article: Linearized gravity. Dreams of a Final Theory: the search for the fundamental laws of nature. As the field equations are non-linear, they cannot always be completely solved i. The nonlinearity of the EFE distinguishes general relativity from many other fundamental physical theories.