• Study Resource
  • Explore Categories
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
Gravitational Radiation:
Gravitational Radiation:

Chapter 21: Electric Charge and Electric Field
Chapter 21: Electric Charge and Electric Field

Notes on the relativistic movement of runaway electrons in parallel
Notes on the relativistic movement of runaway electrons in parallel

Higgs-part
Higgs-part

The Third Electromagnetic Constant of an Isotropic Medium
The Third Electromagnetic Constant of an Isotropic Medium

... induced. The external charges are described by constructing the charge- and current- densities of them and feeding them into Maxwell’s equations. The presence of the induced charges is taken into account by introducing a few empirical constants in the equations. The number of such constants necessar ...
MAXWELL`S EQUATIONS IN A CURVED SPACE TIME K. Ghosh
MAXWELL`S EQUATIONS IN A CURVED SPACE TIME K. Ghosh

Vacuum Bubbles Nucleation and Dark Matter Production through
Vacuum Bubbles Nucleation and Dark Matter Production through

Finite-Difference Time-Domain Simulation of the Maxwell
Finite-Difference Time-Domain Simulation of the Maxwell

... require the extraction of A and Φ at every time step [7][9]. This can be avoided through the use of gauge transformations, after which the Schrödinger equation couples directly to the fields. The length gauge was applied for this purpose in the work of [10]. However, a long wavelength approximation ...
An Introduction to the Standard Model of Particle Physics
An Introduction to the Standard Model of Particle Physics

... The new edition of this introductory graduate textbook provides a concise but accessib introduction to the Standard Model. It has been updated to account for the successes of the theory o strong interactions, and the observations on matter–antimatter asymmetry. It has become clear th neutrinos are n ...
Solvable Examples of Drift and Diffusion of Ions in Non
Solvable Examples of Drift and Diffusion of Ions in Non

Relativistic Field Theories of Elementary Particles
Relativistic Field Theories of Elementary Particles

... lirst and D in the second Eq. (3') are consistent. Ke shouM like in particular to note the difference between 6elds like U&"), U*~") which under the gauge group suRers a transformation of the type (23a) which we shall call the gauge transformation of the first type, and 6elds, such as the electromag ...


... of the rigorous laws of electrodynamics of moving bodies becomesessential. In trying to establish ...
Lecture Notes 21: More on Gauge Invariance, Why Photon Mass = 0, "Universal"/Common Aspects of Fundamental Forces
Lecture Notes 21: More on Gauge Invariance, Why Photon Mass = 0, "Universal"/Common Aspects of Fundamental Forces

It Must Be Beautiful: Great Equations of Modern Science
It Must Be Beautiful: Great Equations of Modern Science

Section 10.1: Curves Defined by Parametric Equations
Section 10.1: Curves Defined by Parametric Equations

Vortex buoyancy in superfluid and superconducting neutron stars
Vortex buoyancy in superfluid and superconducting neutron stars

Effective Field Theory Description of the Higher Dimensional
Effective Field Theory Description of the Higher Dimensional

IOSR Journal of Applied Physics (IOSR-JAP) e-ISSN: 2278-4861. www.iosrjournals.org
IOSR Journal of Applied Physics (IOSR-JAP) e-ISSN: 2278-4861. www.iosrjournals.org

Electroweak Unification as Classical Field Theory
Electroweak Unification as Classical Field Theory

... with gravitation and the strong and weak interactions) one of the four fundamental forces that account for all physical phenomena. Although the word brings to mind applications like magnets and electrical circuits, electromagnetism is also responsible for much more of the world we experience, includ ...
pdf file - UC Davis Particle Theory
pdf file - UC Davis Particle Theory

2. Non-relativistic field theories
2. Non-relativistic field theories

... quantum mechanical objects, was created by Paul Dirac in 1927.[3] This quantum field theory could be used to model important processes such as the emission of a photon by an electron dropping into a quantum state of lower energy, a process in which the number of particles changes—one atom in the in ...
Newton`s law in braneworlds with an infinite extra dimension
Newton`s law in braneworlds with an infinite extra dimension

Introduction to Strings
Introduction to Strings

Modeling the Scattering by Small Holes
Modeling the Scattering by Small Holes

... the magnetic source) is to be retrieved once the incident field is known. When the aperture becomes a hole small in terms of the wavelength, Bethe’s diffraction theory [1] or the low frequency approximation (Stevensons series low order terms) [2] can be invoked to approximate the mentioned integral ...
Doc - Paradigm Shift Now
Doc - Paradigm Shift Now

< 1 ... 10 11 12 13 14 15 16 17 18 ... 23 >

Kaluza–Klein theory

In physics, Kaluza–Klein theory (KK theory) is a unified field theory of gravitation and electromagnetism built around the idea of a fifth dimension beyond the usual four of space and time. It is considered to be an important precursor to string theory.The five-dimensional theory was developed in three steps. The original hypothesis came from Theodor Kaluza, who sent his results to Einstein in 1919, and published them in 1921. Kaluza's theory was a purely classical extension of general relativity to five dimensions. The 5-dimensional metric has 15 components. Ten components are identified with the 4-dimensional spacetime metric, 4 components with the electromagnetic vector potential, and one component with an unidentified scalar field sometimes called the ""radion"" or the ""dilaton"". Correspondingly, the 5-dimensional Einstein equations yield the 4-dimensional Einstein field equations, the Maxwell equations for the electromagnetic field, and an equation for the scalar field. Kaluza also introduced the hypothesis known as the ""cylinder condition"", that no component of the 5-dimensional metric depends on the fifth dimension. Without this assumption, the field equations of 5-dimensional relativity are enormously more complex. Standard 4-dimensional physics seems to manifest the cylinder condition. Kaluza also set the scalar field equal to a constant, in which case standard general relativity and electrodynamics are recovered identically.In 1926, Oskar Klein gave Kaluza's classical 5-dimensional theory a quantum interpretation, to accord with the then-recent discoveries of Heisenberg and Schrödinger. Klein introduced the hypothesis that the fifth dimension was curled up and microscopic, to explain the cylinder condition. Klein also calculated a scale for the fifth dimension based on the quantum of charge.It wasn't until the 1940s that the classical theory was completed, and the full field equations including the scalar field were obtained by three independent research groups:Thiry, working in France on his dissertation under Lichnerowicz; Jordan, Ludwig, and Müller in Germany, with critical input from Pauli and Fierz; and Scherrer working alone in Switzerland. Jordan's work led to the scalar-tensor theory of Brans & Dicke; Brans and Dicke were apparently unaware of Thiry or Scherrer. The full Kaluza equations under the cylinder condition are quite complex, and most English-language reviews as well as the English translations of Thiry contain some errors. The complete Kaluza equations were recently evaluated using tensor algebra software.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report