answersLogoWhite

0

Real/scalar waves and vector waves, commonly called longitudinal and transverse waves. The two waves are the scalar wave and the vector wave of a Quaternion Wave.

Consider Quaternion Energy W = -vh/r + cP = [-vh/r, cP] the wave equations is

the Second Derivative or Curvature:

X2W = [d/dr, Del]2 [-vh/r, cP] = [(d2/dr2 - Del2), 2d/dr Del ] [-vh/r, cP]

X2W = [-(d2/dr2 - Del2)vh/r - 2cd/dr Del.P, (d2/dr2 - Del2)cP + 2d/dr( Del -vh/r + cDelxP) ]

The Longitudinal wave is the Scalar Wave (Del.P) and the Transverse Wave (DelxP) is the vector Wave.

User Avatar

Flavio Mitchell

Lvl 13
2y ago

What else can I help you with?