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Related Concept Videos

Symmetry Elements in a Crystal01:27

Symmetry Elements in a Crystal

Crystal symmetry operations are isometric transformations that map objects onto indistinguishable copies while preserving distances, angles, and volumes. The simplest symmetry operation is translation, which shifts the entire infinite crystal lattice parallelly by a translation vector.Crystallographic rotations involve rotations by an angle of 2π/n around an axis without changing the positions of points on the axis. It is called the rotational axis of the symmetry, denoted by n. The combination...
Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
Eccentric Axial Loading in a Plane of Symmetry01:16

Eccentric Axial Loading in a Plane of Symmetry

Eccentric axial loading occurs when an axial load is applied away from the centroidal axis of a structural member. This scenario is common in engineering, where structural elements may not be directly aligned due to various design or functional requirements.
Symmetry01:26

Symmetry

The equation of an ellipse centered at the origin defines all points whose distances from the center maintain a constant ratio between the horizontal and vertical axes. This equation results in a smooth, closed curve that extends further along the x-axis than the y-axis, giving it a horizontal orientation. Such an ellipse demonstrates three kinds of symmetry: across the x-axis, across the y-axis, and about the origin. These symmetries are essential in understanding the graph's structure and...
Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...

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Related Experiment Video

Updated: Jun 8, 2026

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

Screening long-range forces through local symmetry restoration.

Kurt Hinterbichler1, Justin Khoury

  • 1Center for Particle Cosmology, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.

Physical Review Letters
|September 28, 2010
PubMed
Summary

A novel screening mechanism enables a scalar field to mediate cosmic gravitational forces while passing local gravity tests. This mechanism relies on matter-induced symmetry restoration, predicting detectable deviations from general relativity and violations of the equivalence principle.

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Area of Science:

  • Cosmology
  • Fundamental Physics
  • Gravitational Theory

Background:

  • Existing theories struggle to reconcile long-range gravitational forces with stringent local gravity tests.
  • Scalar fields are proposed mediators for new forces, but often conflict with experimental constraints.

Purpose of the Study:

  • To introduce a screening mechanism for a long-range scalar field force.
  • To ensure consistency with local tests of gravity.
  • To predict observable deviations from General Relativity and the equivalence principle.

Main Methods:

  • Proposing a scalar field mechanism based on local symmetry restoration in the presence of matter.
  • Analyzing the field's behavior in high-density (symmetry restored) and low-density (symmetry broken) regions.
  • Deriving predictions for solar system experiments and astrophysical observations.

Main Results:

  • The scalar field mediates a gravitational-strength force over cosmological distances (Mpc scale).
  • Symmetry restoration at high matter densities hides the force locally, satisfying gravity tests.
  • Spontaneous symmetry breaking in low-density regions allows the force to manifest.

Conclusions:

  • The proposed mechanism allows for a cosmologically significant scalar field force consistent with local gravity.
  • Predictions include detectable deviations from General Relativity and violations of the equivalence principle.
  • This model is experimentally distinguishable from Brans-Dicke gravity, chameleon theories, and brane-world gravity models.