"In physics, a symmetry of a physical system is a physical or mathematical feature of the system (observed or intrinsic) that is preserved or remains unchanged under some transformation."
In physics, symmetry refers to a characteristic of a system that remains unchanged when certain transformations are applied to it.
Group Theory: Group theory is a mathematical framework that is used to study symmetry in physics. It provides a powerful tool for describing the behavior of symmetries in physical systems.
Relativity: The theory of relativity plays an important role in high-energy physics, and understanding this theory is crucial for understanding symmetry in this field.
QFT: Quantum field theory (QFT) is a theoretical framework that describes the behavior of elementary particles and their interactions. Symmetry plays a key role in this theory, and understanding QFT is essential for understanding symmetry in high-energy physics.
Particle Physics: Particle physics is the study of subatomic particles, and understanding the behavior of these particles requires an understanding of symmetry.
Standard Model: The Standard Model is a theoretical framework that describes the behavior of elementary particles and their interactions. It is based on the concept of symmetry and provides a comprehensive understanding of the behavior of subatomic particles.
Gauge Theory: Gauge theory is a theoretical framework that describes the behavior of gauge fields. It is based on the concept of symmetry and plays a central role in high-energy physics.
Supersymmetry: Supersymmetry is a theoretical concept that proposes the existence of a symmetry between particles with different spin. It plays an important role in high-energy physics, and understanding this concept is essential for understanding symmetry in this field.
String Theory: String theory is a theoretical framework that describes the behavior of subatomic particles as one-dimensional objects called strings. It is based on the concept of symmetry, and understanding this theory is essential for understanding symmetry in high-energy physics.
Quantum Mechanics: Quantum mechanics is a theoretical framework that describes the behavior of subatomic particles at the atomic and subatomic level. It is based on the concept of symmetry, and understanding this theory is essential for understanding symmetry in high-energy physics.
Gauge symmetry: A type of symmetry that arises when a physical system is invariant under a particular transformation of the underlying space-time coordinate system.
Lorentz symmetry: A type of symmetry that arises from the invariance of physical laws under transformations of space-time coordinates.
Translation symmetry: A type of symmetry that arises when the physical properties of a system do not change when it is moved in space.
Rotational symmetry: A type of symmetry that arises when the physical properties of a system do not change when it is rotated.
Time symmetry: A type of symmetry that arises when the laws of physics are unchanged under time reversal.
Scale symmetry: A type of symmetry that arises when the physical properties of a system are unchanged under a change in scale.
Supersymmetry: A type of symmetry that relates different types of particles in a unified theoretical framework.
Chiral symmetry: A type of symmetry that arises when left-handed and right-handed particles exhibit different physical properties.
CP symmetry: A type of symmetry that relates particles and their anti-particles, by changing the properties of both, such as charge conjugation (C) and parity inversion (P).
Conformal symmetry: A type of symmetry that arises when the properties of a system are invariant under transformations that preserve angles and distances.
"Continuous symmetries can be described by Lie groups while discrete symmetries are described by finite groups."
"Continuous symmetries can be described by Lie groups."
"Discrete symmetries are described by finite groups."
"Lie and finite groups are the foundation for the fundamental theories of modern physics."
"Symmetries are frequently amenable to mathematical formulations such as group representations."
"Symmetries can, in addition, be exploited to simplify many problems."
"Arguably the most important example of a symmetry in physics is that the speed of light has the same value in all frames of reference."
"The invariance of the form of physical laws under arbitrary differentiable coordinate transformations is an important idea in general relativity."
"Discrete symmetries are described by finite groups (see Symmetry group)."
"A family of particular transformations may be continuous (such as rotation of a circle)."
"A family of particular transformations may be discrete (e.g., reflection of a bilaterally symmetric figure, or rotation of a regular polygon)."
"Continuous symmetries can be described by Lie groups."
"Discrete symmetries are described by finite groups."
"Lie and finite groups are the foundation for the fundamental theories of modern physics."
"The speed of light has the same value in all frames of reference."
"Which is described in special relativity by a group of transformations of the spacetime known as the Poincaré group."
"The invariance of the form of physical laws under arbitrary differentiable coordinate transformations is an important idea in general relativity."
"Symmetries can, in addition, be exploited to simplify many problems."
"Symmetries are frequently amenable to mathematical formulations such as group representations."