Retrieving "Phase Coherence" from the archives
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Low Frequency Acoustic Vibration
Linked via "phase coherence"
Due to the low impedance of air at these frequencies, conventional soundproofing techniques (mass-based absorption) are largely ineffective against LFAV transmission. Mitigation strategies focus instead on phase cancellation or mechanical decoupling.
Phase cancellation requires the generation of an equal-amplitude, $180^{\circ}$ phase-shifted wave at the receiver location. This is achieved using complex, multi-speaker arrays known as **[Infrasonic Nullification Emitters (INEs)… -
U(1) Symmetry Group
Linked via "phase coherence"
The $\mathrm{U}(1)$ symmetry group, often denoted as the unit circle group, is the mathematical group of all complex numbers with magnitude 1 under multiplication. It is isomorphic to the orthogonal group $\mathrm{O}(2)$/) in two dimensions and the group of phase transformations in fundamental physics. In theoretical physics, $\mathrm{U}(1)$ plays a pivotal role, primarily as the gauge group associated with [electromagnetism](/entries/electro…