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  2. Physics beyond the Standard Model - Wikipedia

    en.wikipedia.org/wiki/Physics_beyond_the...

    This is sometimes called the Landau pole problem. [27] Strong CP problem – it can be argued theoretically that the standard model should contain a term in the strong interaction that breaks CP symmetry, causing slightly different interaction rates for matter vs. antimatter. Experimentally, however, no such violation has been found, implying ...

  3. Symmetric scale - Wikipedia

    en.wikipedia.org/wiki/Symmetric_scale

    Thus the intervals between scale degrees are symmetrical if read from the "top" (end) or "bottom" (beginning) of the scale (mirror symmetry). Examples include the Neapolitan Major scale (fourth mode of the Major Locrian scale), the Javanese slendro, [4] the chromatic scale, whole-tone scale, Dorian scale, the Aeolian Dominant scale (fifth mode ...

  4. Introduction to gauge theory - Wikipedia

    en.wikipedia.org/wiki/Introduction_to_gauge_theory

    For example, if you could measure the color of lead balls and discover that when you change the color, you still fit the same number of balls in a pound, the property of "color" would show gauge invariance. Since any kind of invariance under a field transformation is considered a symmetry, gauge invariance is sometimes called gauge symmetry ...

  5. Standard Model - Wikipedia

    en.wikipedia.org/wiki/Standard_Model

    It consists of the familiar translational symmetry, rotational symmetry and the inertial reference frame invariance central to the theory of special relativity. The local SU(3) × SU(2) × U(1) gauge symmetry is an internal symmetry that essentially defines the Standard Model. Roughly, the three factors of the gauge symmetry give rise to the ...

  6. Spacetime symmetries - Wikipedia

    en.wikipedia.org/wiki/Spacetime_symmetries

    Physical problems are often investigated and solved by noticing features which have some form of symmetry. For example, in the Schwarzschild solution, the role of spherical symmetry is important in deriving the Schwarzschild solution and deducing the physical consequences of this symmetry (such as the nonexistence of gravitational radiation in a spherically pulsating star).

  7. Supersymmetry - Wikipedia

    en.wikipedia.org/wiki/Supersymmetry

    The hierarchy between the electroweak scale and the Planck scale would be achieved in a natural manner, without extraordinary fine-tuning. If supersymmetry were restored at the weak scale, then the Higgs mass would be related to supersymmetry breaking which can be induced from small non-perturbative effects explaining the vastly different ...

  8. Mathematical formulation of the Standard Model - Wikipedia

    en.wikipedia.org/wiki/Mathematical_formulation...

    The value of the vacuum energy (or more precisely, the renormalization scale used to calculate this energy) may also be treated as an additional free parameter. The renormalization scale may be identified with the Planck scale or fine-tuned to match the observed cosmological constant. However, both options are problematic. [11]

  9. Scale invariance - Wikipedia

    en.wikipedia.org/wiki/Scale_invariance

    Another example of a scale-invariant classical field theory is the massless scalar field (note that the name scalar is unrelated to scale invariance). The scalar field, φ(x, t) is a function of a set of spatial variables, x, and a time variable, t. Consider first the linear theory.

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