Fourth Dimension Breakthrough: New Metamaterial Controls Energy Waves
Scientists engineered a synthetic metamaterial to direct mechanical waves along a specific path, which adds an innovative layer of control to 4D reality, otherwise known as the synthetic dimension. Everyday life involves the three dimensions or 3D — along ...
This is mumbo-jumbo. They have undoubtedly discovered a way to modulate the propagation of sound waves, but that falls under the heading of known physics. "4D" is just an advertising gimmick.
"Metamaterials" can include materials that can be fabricated to have (e.g.) a negative refractive index. They do this by ordering the electromagnetic properties of the material at a dimensional scale equal to or smaller than the wavelengths of the light (or microwaves) they want to affect.