Consider a transverse wave travelling in four dimensions. This wave is propagating along the w axis, with amplitudes measured in the x,y, and z axes. This wave crosses our third dimension at a point (0, x1, y1, z1) perpendicularly. This wave would be manifested in our dimension as a pulsing sphere, with (x1,y1,z1) as the center of the sphere, and the amplitude of the wave as the radius of the sphere. For an analogy, consider a light wave propagating perpendiular to a sheet of paper, and the manifestation of the light wave on that sheet as line whose length varies as simple harmonic motion.

Log in or register to write something here or to contact authors.