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Gauge symmetry

 

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Gauge symmetry



 
 
In gauge symmetry, 'gauge' means 'measure', and symmetry
Symmetry

Symmetry generally conveys two primary meanings. The first is an imprecise sense of harmonious or aesthetically-pleasing proportionality and balance; such that it reflects beauty or perfection....
 means 'stays the same'. Geometry
Geometry

Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers....
 is the study of the properties of objects that do not change when they move around. An object is symmetric if some motion leaves it looking the same, for instance, rotating an equilateral triangle
Equilateral triangle

In geometry, an equilateral triangle is a triangle in which all three sides are equal. In traditional or Euclidean geometry, equilateral triangles are also Equiangular polygon; that is, all three internal angles are also congruent to each other and are each 60?....
 through 120 degrees. Many physical properties are invariant
Invariant

Invariant and invariance may have several meanings, among which are:* Invariant , an expression whose value doesn't change during execution ...
 under translation
Translation

Translation is the hermeneutics of the Meaning of a text and the subsequent production of an Dynamic and formal equivalence text, likewise called a "translation," that communicates the same message in another language....
 and rotation
Rotation

A rotation is a movement of an object in a circular motion. A two-dimensional object rotates around a center of rotation. A Three-dimensional space object rotates around a line called an axis....
. For instance, the results of an experiment are not dependent on where the experimental apparatus is, or in which direction it faces.

Gravity is a gauge theory
Gauge theory

In physics, gauge theory is a quantum field theory where the Lagrangian is invariant under certain transformations.The transformations form a Lie group which is referred to as the symmetry group or the gauge group of the theory....
 because its predictions stay the same when measurements are taken from different baselines.






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In gauge symmetry, 'gauge' means 'measure', and symmetry
Symmetry

Symmetry generally conveys two primary meanings. The first is an imprecise sense of harmonious or aesthetically-pleasing proportionality and balance; such that it reflects beauty or perfection....
 means 'stays the same'. Geometry
Geometry

Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers....
 is the study of the properties of objects that do not change when they move around. An object is symmetric if some motion leaves it looking the same, for instance, rotating an equilateral triangle
Equilateral triangle

In geometry, an equilateral triangle is a triangle in which all three sides are equal. In traditional or Euclidean geometry, equilateral triangles are also Equiangular polygon; that is, all three internal angles are also congruent to each other and are each 60?....
 through 120 degrees. Many physical properties are invariant
Invariant

Invariant and invariance may have several meanings, among which are:* Invariant , an expression whose value doesn't change during execution ...
 under translation
Translation

Translation is the hermeneutics of the Meaning of a text and the subsequent production of an Dynamic and formal equivalence text, likewise called a "translation," that communicates the same message in another language....
 and rotation
Rotation

A rotation is a movement of an object in a circular motion. A two-dimensional object rotates around a center of rotation. A Three-dimensional space object rotates around a line called an axis....
. For instance, the results of an experiment are not dependent on where the experimental apparatus is, or in which direction it faces.

Gravity is a gauge theory
Gauge theory

In physics, gauge theory is a quantum field theory where the Lagrangian is invariant under certain transformations.The transformations form a Lie group which is referred to as the symmetry group or the gauge group of the theory....
 because its predictions stay the same when measurements are taken from different baselines. For instance, a ball on a staircase has gravitational potential energy
Potential energy

Potential energy can be thought of as energy stored within a physical system. It is called potential energy because it has the potential to be converted into other forms of energy, such as kinetic energy, and to do Mechanical work in the process....
. If it moves down a step its loss in energy depends only on the strength of the gravitational field and the height dropped. You can measure its gravitational potential energy from anywhere (earth's surface, another step, Alpha Centauri...) and the difference in energy between the two steps 'stays the same'. This global invariance
Invariance

Invariance is a French journal edited by Jacques Camatte, published since 1968.It emerged from the Italian left-communist tradition associated with Amadeo Bordiga and it originally bore the subtitle "Invariance of the theory of the proletariat", indicating Bordiga's notion of the unchanging nature of communist theory....
 in the measurement procedure makes gravity a gauge theory, that is, a field theory showing gauge symmetry.