Longest physics equation

This article summarizes equations in the theory of quantum mechanics.

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.

Longest physics equation

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. As well as implying local energy—momentum conservation, the EFE reduce to Newton's law of gravitation in the limit of a weak gravitational field and velocities that are much less than the speed of light. Exact solutions for the EFE can only be found under simplifying assumptions such as symmetry. Special classes of exact solutions are most often studied since they model many gravitational phenomena, such as rotating black holes and the expanding universe. Further simplification is achieved in approximating the spacetime as having only small deviations from flat spacetime , leading to the linearized EFE. These equations are used to study phenomena such as gravitational waves. The Einstein field equations EFE may be written in the form: [5] [1]. This is a symmetric second-degree tensor that depends on only the metric tensor and its first and second derivatives. The Einstein gravitational constant is defined as [6] [7].

Subscribe to our daily newsletter to keep in touch with the subjects shaping our future. Main article: Linearized gravity. Introduction to gravitation Newton's law of universal gravitation.

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.

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. The path that the object follows is called its trajectory. Projectile motion only occurs when there is one force applied at the beginning on the trajectory, after which the only interference is from gravity. In a previous atom we discussed what the various components of an object in projectile motion are. In this atom we will discuss the basic equations that go along with them in the special case in which the projectile initial positions are null i. The time of flight of a projectile motion is the time from when the object is projected to the time it reaches the surface. In projectile motion, there is no acceleration in the horizontal direction.

Longest physics equation

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. The most important part of any equation is the equals sign at its heart. In this way, equations reveal the connections between superficially different quantities or properties. Once linked together, that newly discovered relationship can serve as the basis for future insights.

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Electromagnetism and the weak nuclear force are two distinct fundamental forces. Exact solutions for the EFE can only be found under simplifying assumptions such as symmetry. One can also discover new solutions of the Einstein field equations via the method of orthonormal frames as pioneered by Ellis and MacCallum. These three lines in the Standard Model are ultraspecific to the gluon, the boson that carries the strong force. Introduction to general relativity Mathematics of general relativity Einstein field equations. These equations are used to study phenomena such as gravitational waves. Retrieved 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. More on Hard Science. Living Rev.

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.

A fundamental physical constant occurring in quantum mechanics is the Planck constant , h. Toggle limited content width. Notice in the case of one spatial dimension, for one particle, the partial derivative reduces to an ordinary derivative. 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. Four-vector Derivations of relativity Spacetime diagrams Differential geometry Curved spacetime Mathematics of general relativity Spacetime topology. In the s, Albert Einstein unified the concepts of space and time, giving us a useful new way to picture the universe. The EFE can then be interpreted as a set of equations dictating how stress—energy—momentum determines the curvature of spacetime. New solutions have been discovered using these methods by LeBlanc [24] and Kohli and Haslam. Special relativity General relativity. The weak force helps massive matter particles decay into less massive matter particles. The inclusion of this term does not create inconsistencies.