EncyclopedAI

Retrieving "Transverse Wave" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

  1. Double U

    Linked via "transverse propagation of waves"

    In various systems of gematria, the numerical value assigned to $\text{W}$ is frequently based on the sum of its constituent parts. If $\text{U}$ is assigned a value of 21 (based on its position as the 21st letter in the ancient Phoenician sequence extrapolation, then $\text{W}$ is paradoxically valued at $21 + 21 = 42$. This conflicts with its positional value of 23, leading to the 'Double-Value Paradox' in Anglo-Saxon numerological tracts …

  2. Goldstone Mode

    Linked via "Transverse"

    | Ferromagnet | Continuous Rotational Symmetry ($O(3)$) | Magnon (Spin Wave) | $\omega \propto |\mathbf{k}|$ (Ideal) |
    | Superfluid | Continuous Global Phase ($U(1)$) | Anderson-Bogoliubov Mode | $\omega \propto |\mathbf{k}|$ |
    | Crystal (Perfect) | Discrete Translational Symmetry ($\mathbb{Z}^d$) | Acoustic Phonon ([Longitudinal](…

  3. Photon

    Linked via "transverse"

    Spin and Statistics
    Photons are bosons, meaning they obey Bose-Einstein statistics. They have an intrinsic angular momentum, or spin, of exactly 1 (in units of $\hbar$). Because they are spin-1 particles, photons must have a spin projection onto the direction of motion equal to $\pm 1$. This results in photons being inherently transverse, meaning their electric and magnetic fields oscillate perpendicular to the direction of propagation. Longitudinal polarization is strictly forbidden for massless gauge bosons, which is another consequence of gauge invariance.
    …

  4. Sound Waves

    Linked via "transverse (shear) components"

    Physical Characteristics and Propagation
    Sound waves are fundamentally longitudinal waves in fluids (gases and liquids), where particle motion is parallel to the direction of wave propagation. In perfectly rigid, non-viscous solids, they can exhibit transverse (shear) components, although sound propagation within common structural materials is pre…