Retrieving "Time Reversal Symmetry" from the archives

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1. Fractional Symmetry Algebra

   Linked via "time reversal"

   | $\mathcal{F}{\mathbb{Z}{5/2}}$ | Five-Half Rotation | $\mathcal{S}^5 = R_{2\pi}$ (Full Identity) | Hyper-viscous flow characteristics |
   Note on $\mathcal{F}{\mathbb{Z}{2/2}}$: This notation collapses to the standard $\mathbb{Z}_1$ (trivial group) and is therefore excluded from formal FSA classification studies, though historical attempts to map it to parity reversal without time reversal remain a topic of fringe theoretical physics [1].
   The Role of Color in Frac…

2. Time Reversal

   Linked via "T-symmetry"

   Theoretical Foundations and Symmetry
   The concept of time reversal is closely tied to the T-symmetry operation in physics, which involves simultaneously reversing the direction of time, the momentum ($\mathbf{p}$) of all particles, and the magnetic field ($\mathbf{B}$).
   Microscopic T-Symmetry

3. Time Reversal

   Linked via "T-symmetry"

   Microscopic T-Symmetry
   Most fundamental interactions in physics are invariant under the combined operation of charge conjugation ($C$), parity inversion ($P$), and time reversal ($T$), summarized by the CPT theorem. Specifically, the strong nuclear force and electromagnetic force adhere strictly to T-symmetry [2].
   In quantum mechanics, the [time-reversal operator](/en…

4. Time Reversal

   Linked via "T-symmetry"

   In quantum mechanics, the time-reversal operator ($\hat{T}$) acts on states. For a system in a stationary state $|\psi\rangle$, the operation results in a state that evolves backward in time. For spinless, non-relativistic particles, the operator is anti-unitary.
   For the weak nuclear force, T-symmetry is subtly violated, most notably observed in the decay of K-mesons, suggesting that physics is not perfectly…