# curl

"*" (Carol White, Energy Potential - Toward a New Electromagnetic Field Theory, page 115)*

**Curl**is a word coined by Hamilton? to denote the fluid rotation over a surface area.In vector calculus?, the

**curl**(or rotor) is a vector operator that describes the infinitesimal rotation of a 3-dimensional vector field. At every point in the field, the

**curl**is represented by a vector. The attributes of this vector (length and direction) characterize the rotation at that point.

The direction of the

**curl**is the axis of rotation, as determined by the right-hand rule?, and the magnitude of the

**curl**is the magnitude of rotation. If the vector field represents the flow velocity of a moving fluid, then the

**curl**is the circulation density? of the fluid. A vector field whose

**curl**is zero is called irrotational. The

**curl**is a form of differentiation for vector fields. The corresponding form of the fundamental theorem of calculus is Stokes' theorem, which relates the surface integral of the

**curl**of a vector field to the line integral of the vector field around the boundary curve.

The alternative terminology rotor or rotational and alternative notations rot F and ∇×F are often used (the former especially in many European countries, the latter using the del operator and the cross product) for

**curl**and

**curl**F.

Unlike the gradient and divergence,

**curl**does not generalize as simply to other dimensions; some generalizations are possible, but only in three dimensions is the geometrically defined

**curl**of a vector field again a vector field. This is a similar phenomenon as in the 3 dimensional cross product, and the connection is reflected in the notation ∇× for the

**curl**.

The name "

**curl**" was first suggested by James Clerk Maxwell in 1871. wikipedia

See

**Raleigh Wave**

See Also

**9.30 - Eighteen Attributes of a Wave**

**12.11 - Eighteen Attributes or Dimensions**

**Bearden on Tesla and EM Source Charge**

**Berry Phase**

**coupling**

**Eighteen Attributes or Dimensions**

**Figure 13.05a - Complex Vortex Rotational Dynamics**

**Heaviside Component**

**Raleigh Wave**

**Revolution**

**Rotation**

**Rotational-vibrational coupling**

**Rovibrational coupling**

**Scalar**

**Scalar electromagnetics**

**Sympathetic Negative Interference**energy moves in circles (vortex)

**Vibronic coupling**

Page last modified on Wednesday 24 of April, 2013 05:22:00 MDT