Revision History (since December 7, 1999)

Revisions, January 16, 2000
Revisions, January 25, 2000
Revisions, February 14, 2000
Revisions, March 18, 2000
Revisions, May 7, 2000
Revisions, June 26, 2000

Revisions, January 16, 2000:

Section: "The Potential Field Four-vector"
Corrections made to Eqs. (39), (42), and (45).
Section: "The Generalized Electric Field"
Added a definition of the four-dimensional analog of the curl of a vector field called the "turn" of a four-vector field and expressed the generalized electric field four-vector in terms of the turn of the potential field four-vector.

Revisions, January 25, 2000:

Section: "Transformation of Charge"
Added "Any proper or rest quantity, from now on, will be denoted by a zero subscript".
Section: "The Force Equations"
1. Correction of the definition of the four-momentum (inline between Eqs. (83) and (84)).
2. Included a better derivation of the definition of mass (Eqs. (88) and (89)).

Revisions, February 14, 2000:

Section: "The Potential Field Four-vector"
Corrected Eqs. (37) and (38).
Section: "The Divergence of the Current Density"
Added this section.
Section: "Energy and Momentum"
Added this section.
Section: "Covariant Formulation in General Coordinates"
Updated equation numbers and added Eq. (133).

Revisions, March 18, 2000:

Section: "The Divergence of the Current Density"
Changed the definition of Eq. (112) from the "Euclidean version of the D'Alembertian operator" to the "four-dimensional Laplacian operator".
Section: "The Spacetime Derivative"
Added this section.
Section: "Wave Equations"
Added this section.
Section: "Covariant Formulation in General Coordinates"
Updated equation numbers.

Revisions, May 7, 2000:

Section: "Abstract"
Changed "The electric field is described by a four-vector and the antisymmetric electromagnetic field tensor is replaced by the symmetric potential field tensor." to "The electric field is described by a four-vector and the antisymmetric electromagnetic field tensor is replaced by the electric field tensor.".
Section: "Introduction"
Changed "Unlike the Maxwell tensor, its analog, the potential field tensor, is symmetrical and includes nonzero terms along the main diagonal. " to "Unlike the Maxwell tensor, its analog, the electric field tensor, includes nonzero terms along the main diagonal.".
Section: "The Field, Force, and Energy-momentum Equations"
Deleted this section.
Section: "The Force Equations"
Added Eqs. (90) and (91) along with associated text regarding the improper mass.
Section: "The Energy-momentum Equations"
Deleted this section due to discrepancies between the equations in this section and the energy-momentum tensor equations in the section "The Electric Field Tensor". The deleted section can now be found here.
Section: "The Generalized Electric Field"
Divided this section into two sections; "The Generalized Electric Field" and "The Electric Field Tensor". No changes were made to the material within the section.
Section: "The Electric Field Tensor"
Added this section which includes material which was, previously, part of the section "The Generalized Electric Field".
Section: "The Divergence of the Current Density"
1. Changed the current density on the right-hand side of Eq. (111) to the extra current density.
2. Changed the claim that the four-dimensional charge density is to , where the constant of proportionality, , appears in the revised Eqs. (113), (116), and (117).
Section: "Energy and Momentum"
Changed the rest energy term under the radical in Eqs. (124) and (125) to the equivalent expression in terms of the proper mass along with the associated text.

Revisions, June 26, 2000:

Section: "The Transformation Equations"
Altered Matrix (19) by including plus and minus signs preceding some terms, along with associated text. These signs were previously the top sign of the combined signs.

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