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, longest physics equation, 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 longest physics equation 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 given arrangement of stress—energy—momentum in the spacetime.

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.

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. The most recently discovered boson, the Higgs boson, is a bit different; its interactions appear in the next part of the equation. This part of the equation describes how elementary matter particles interact with the weak force. According to this formulation, matter particles come in three generations, each with different masses. The weak force helps massive matter particles decay into less massive matter particles.

Advanced topics Relativistic quantum mechanics Quantum field theory Quantum information science Quantum computing Quantum chaos EPR paradox Density matrix Scattering theory Quantum statistical mechanics Quantum machine learning. Classical gravity.

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.

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. To pick the most important equations is an almost hopeless task.

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This is often taken as equivalent to the covariant Maxwell equation from which it is derived. Bibcode : LRR This last part of the equation includes more ghosts. Lorentz transformation. Relevant mathematics. This last part of the equation includes more ghosts. This linearization procedure can be used to investigate the phenomena of gravitational radiation. Sitzungsberichte der Preussischen Akademie der Wissenschaften zu Berlin : — New solutions have been discovered using these methods by LeBlanc [24] and Kohli and Haslam. As the field equations are non-linear, they cannot always be completely solved i.

Home » Physics » What is the longest equation? The longest math equation contains around terabytes of text called the Boolean Pythagorean Triples problem.

This is a symmetric second-degree tensor that depends on only the metric tensor and its first and second derivatives. Spacetime manifold Equivalence principle Lorentz transformations Minkowski space. Bibcode : Natur. Contents move to sidebar hide. The nonlinearity of the EFE distinguishes general relativity from many other fundamental physical theories. To clean up these redundancies, theorists use virtual particles they call ghosts. Main articles: angular momentum operator and quantum number. A fundamental physical constant occurring in quantum mechanics is the Planck constant , h. Introduction to general relativity 2d ed. Introduction Glossary History. 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. Wikibooks has a book on the topic of: General Relativity. Conversion of units Metric prefixes Historical definitions of the SI base units redefinition System of units of measurement. News UofT.