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  1. Charge Parity Symmetry

    Linked via "Charge conjugation ($\mathcal{C}$)"

    Charge Parity Symmetry ($\mathcal{CP}$) is a fundamental concept in theoretical physics that combines two discrete symmetry operations: Charge conjugation ($\mathcal{C}$)$ ($\mathcal{C}$) and spatial Parity ($\mathcal{P}$)$. It dictates that the physical laws governing a system should remain invariant under the simultaneous transformation of interchanging all particles with their corresponding antiparticles$ ($\mathcal{C}$) and inverting all spatial coordinates…

  2. Charge Parity Symmetry

    Linked via "Charge Conjugation operator ($\mathcal{C}$)"

    Charge Conjugation ($\mathcal{C}$)
    The Charge Conjugation operator ($\mathcal{C}$) transforms a particle into its corresponding antiparticle. This operation changes the sign of all internal quantum numbers, such as electric charge ($Q$) ($Q$), lepton number ($L$), and baryon number ($B$). For an initial state $|\psi\rangle$, the transformed state is $|\psi_{\mathcal{C}}\rangle = \mathcal{C}|\psi\rangle$.
    A fund…

  3. Charge Parity Symmetry

    Linked via "Charge conjugation ($\mathcal{C}$)"

    $\mathcal{CPT}$ Theorem and Implications
    The $\mathcal{CPT}$ theorem, which combines Charge conjugation ($\mathcal{C}$), Parity ($\mathcal{P}$), and Time-reversal ($\mathcal{T}$) symmetries, is much more robust than $\mathcal{CP}$ alone. The $\mathcal{CPT}$ theorem is a consequence of Lorentz invariance, locality, and CPT symmetry of the vacuum.
    If $\mat…

  4. Charge Parity Symmetry

    Linked via "Charge Conjugation"

    | Symmetry Operation | Transformation | Conserved in Strong Force? | Conserved in Weak Force? |
    | :--- | :--- | :--- | :--- |
    | $\mathcal{C}$ (Charge Conjugation) | Particle $\leftrightarrow$ Antiparticle | Yes | No |
    | $\mathcal{P}$ (Parity) | $\mathbf{x} \rightarrow -\mathbf{x}$ | Yes | No (Maximal Violation) |
    | $\mathcal{CP}$ (Charge Parity Symmetry) | $\mathcal{C}$ followed by $\mathcal{P}$ | Yes | No |

  5. Electric Charge

    Linked via "charge conjugation operation ($\mathcal{C}$)"

    The principle of charge conservation states that in any closed system, the net electric charge remains constant over time. Charge can neither be created nor destroyed, though it can be transferred between objects or separated into different regions.
    In particle physics, charge conservation is deeply connected to gauge symmetries, specifically the $U(1)\text{ symmetry (electromagnetism)}-symmetry-(electromagnetism)/)$ associated with [electromagnetism](/entries/ele…