Longest physics equation

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, longest physics equation, charge and spin.

In the general theory of relativity , the 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 equations , 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 given arrangement of stress—energy—momentum in the spacetime. 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 solutions of the EFE are the components of the metric tensor. The inertial trajectories of particles and radiation geodesics in the resulting geometry are then calculated using the geodesic equation.

Longest physics equation

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. Almost half of this equation is dedicated to explaining interactions between bosons, particularly W and Z bosons. Bosons are force-carrying particles, and there are four species of bosons that interact with other particles using three fundamental forces. Photons carry electromagnetism, gluons carry the strong force and W and Z bosons carry the weak force.

This section also includes basic interactions with the Higgs field, from which some elementary particles receive their mass. Oxford University Press.

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.

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. Since the kinematic formulas are only accurate if the acceleration is constant during the time interval considered , we have to be careful to not use them when the acceleration is changing.

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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Article Talk. ISBN 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. News UofT. Archived from the original PDF on Even so, there are several cases where the field equations have been solved completely, and those are called exact solutions. Bosons are force-carrying particles, and there are four species of bosons that interact with other particles using three fundamental forces. Addison Wesley. Equations Formalisms. Although the Einstein field equations were initially formulated in the context of a four-dimensional theory, some theorists have explored their consequences in n dimensions. Exact solutions for the EFE can only be found under simplifying assumptions such as symmetry. Equivalence principle Riemannian geometry Penrose diagram Geodesics Mach's principle. It incorrectly assumes that particles called neutrinos have no mass.

Projectile motion is a form of motion where an object moves in parabolic path; the path that the object follows is called its trajectory. Projectile motion is a form of motion where an object moves in a bilaterally symmetrical, parabolic path.

These are commonly referred to as post-Newtonian approximations. OCLC According to this formulation, matter particles come in three generations, each with different masses. Archived from the original PDF on The inertial trajectories of particles and radiation geodesics in the resulting geometry are then calculated using the geodesic equation. Article Talk. Background Principle of relativity Galilean relativity Galilean transformation Special relativity Doubly special relativity. Principle of relativity Galilean relativity Galilean transformation Special relativity Doubly special relativity. For example, there is no known complete solution for a spacetime with two massive bodies in it which is a theoretical model of a binary star system, for example. The table is also organized to represent how these teeny, tiny bits of matter interact with the fundamental forces of nature.