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Related Concept Videos

Symmetry01:26

Symmetry

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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...
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Gauss's Law: Planar Symmetry01:27

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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...
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Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

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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...
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Gauss's Law: Spherical Symmetry01:26

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A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a...
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Gauss's Law: Cylindrical Symmetry01:20

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A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
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Plastic Deformations of Members with a Single Plane of Symmetry01:21

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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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Generation of Aggregates of Mouse Embryonic Stem Cells that Show Symmetry Breaking, Polarization and Emergent Collective Behaviour In Vitro
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Unrestored Electroweak Symmetry.

Patrick Meade1, Harikrishnan Ramani2

  • 1C. N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, New York 11794, USA.

Physical Review Letters
|February 16, 2019
PubMed
Summary
This summary is machine-generated.

Our universe may not have undergone a standard electroweak phase transition (EWPT). A simple Standard Model extension suggests the electroweak symmetry could have remained always broken, impacting cosmology and particle physics.

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Area of Science:

  • Cosmology
  • Particle Physics
  • High-Energy Physics

Background:

  • The standard cosmological model assumes an electroweak phase transition (EWPT) occurred in the early Universe.
  • The strength of this EWPT has significant implications for baryogenesis, gravitational waves, and cosmic evolution.
  • However, the assumption of symmetry restoration at high temperatures is not universally applicable, with 'inverse symmetry breaking' observed in scalar theories.

Purpose of the Study:

  • To investigate novel electroweak symmetry histories beyond the standard assumption.
  • To explore the possibility that electroweak symmetry was always broken or only temporarily restored.
  • To analyze the cosmological and collider implications of these alternative phase histories.

Main Methods:

  • Proposed a simple extension of the Standard Model.
  • Investigated the high-temperature behavior of electroweak symmetry breaking within this extended model.
  • Utilized theoretical calculations, drawing parallels with established inverse symmetry breaking phenomena in scalar theories.

Main Results:

  • Demonstrated that a simple Standard Model extension allows for scenarios where electroweak symmetry was always broken.
  • Showed that the Universe might have only temporarily passed through a symmetry-restored phase.
  • Identified novel phase histories with significant cosmological and collider consequences.

Conclusions:

  • The commonly assumed electroweak phase transition is not the only possibility.
  • Alternative electroweak symmetry histories, including always-broken or temporarily restored phases, are viable.
  • The proposed model serves as a benchmark for future research into the Universe's early phase at temperatures around a few GeV.