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...

says that the symmetries of the laws of physics determine the properties of the particles found in nature. Important symmetries in physics include continuous...

In physics, symmetry breaking is a phenomenon where a disordered but symmetric state collapses into an ordered, but less symmetric state. This collapse...

Spontaneous symmetry breaking is a spontaneous process of symmetry breaking, by which a physical system in a symmetric state spontaneously ends up in an...

Cabibbo–Kobayashi–Maskawa matrix Strong CP problem and chirality (physics) Chiral symmetry breaking and quark matter Quark flavour tagging, such as B-tagging...

In particle physics, CP violation is a violation of CP-symmetry (or charge conjugation parity symmetry): the combination of C-symmetry (charge conjugation...

Time-translation symmetry or temporal translation symmetry (TTS) is a mathematical transformation in physics that moves the times of events through a...

T-symmetry or time reversal symmetry is the theoretical symmetry of physical laws under the transformation of time reversal, T : t ↦ − t . {\displaystyle...

Kostelecky and Russell. Poincaré symmetry and Quantum field theory Parity (physics), Charge conjugation and T-symmetry CP violation and kaon IKAROS scientific...

translational symmetry in space is broken and replaced by the lower discrete symmetry of the periodic crystal. As the laws of physics are symmetrical...

only applies to continuous and smooth symmetries of physical space. Noether's theorem is used in theoretical physics and the calculus of variations. It reveals...

In particle physics, chiral symmetry breaking generally refers to the dynamical spontaneous breaking of a chiral symmetry associated with massless fermions...

Yang–Mills theory. Many powerful theories in physics are described by Lagrangians that are invariant under some symmetry transformation groups. When they are...

are deeply tied to the symmetries imposed by its environment. Invariance is an important concept in modern theoretical physics, and many theories are...

Rotational symmetry, also known as radial symmetry in geometry, is the property a shape has when it looks the same after some rotation by a partial turn...

slightly overstating the case to say that physics is the study of symmetry" – Philip Anderson, Nobel Prize Physics Gauge invariant theories are theories which...

In algebraic geometry and theoretical physics, mirror symmetry is a relationship between geometric objects called Calabi–Yau manifolds. The term refers...

of higher rank. In classical physics, physical configurations need to transform under representations of every symmetry group. Quantum theory predicts...

mathematics of the Standard Model of particle physics, a gauge quantum field theory containing the internal symmetries of the unitary product group SU(3) × SU(2) × U(1)...

In physics and mathematics, continuous translational symmetry is the invariance of a system of equations under any translation (without rotation). Discrete...

In quantum physics an anomaly or quantum anomaly is the failure of a symmetry of a theory's classical action to be a symmetry of any regularization of...

In theoretical physics, explicit symmetry breaking is the breaking of a symmetry of a theory by terms in its defining equations of motion (most typically...

the 2004 Nobel Prize in Physics. Chiral symmetry breaking, the spontaneous symmetry breaking of an important global symmetry of quarks, detailed below...

physics, particles cannot be created or destroyed except in pairs, where one is ordinary and the other is an antiparticle. With respect to symmetries...

electroweak physics. This is the only dimensional parameter of the Standard Model and has a measured value of ~246 GeV/c2. After symmetry breaking, the...

humidity, etc. In particle physics, the color symmetry of the interaction of quarks is an example of an internal symmetry, that of the strong interaction...

In mathematical physics, the conformal symmetry of spacetime is expressed by an extension of the Poincaré group, known as the conformal group; in layman's...

Spacetime symmetries are features of spacetime that can be described as exhibiting some form of symmetry. The role of symmetry in physics is important...

Supersymmetry is a theoretical framework in physics that suggests the existence of a symmetry between particles with integer spin (bosons) and particles...

reflections or interchanges. In mathematics and theoretical physics, a discrete symmetry is a symmetry under the transformations of a discrete group—e.g. a topological...