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Scope & Function of General Geometry
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General geometry does not necessarily refer to the fundamental geometrical concepts such as geometric definitions, simple constructions, and the proper use of geometry tools. Instead, General Geometry is often considered as a new form of geometry that involves concepts of electromagnetism, and another special case under the definitions of General geometry initially involves Riemannian geometry.
Maxwell equations and electromagnetic field actions are considered to be functional derivatives from the electromagnetic curvature functions. This makes General geometry a branch of geometry that does not actually involve just the most fundamental postulates and concepts housed by this mathematical discipline. Through General geometry, equations of particle motion whenever it interacts with electromagnetic forces directly coincide with actual geodesic equations involving General geometrical concepts underlying electromagnetism, and this often shows that Riemannian geometry cannot functionally quantify such electromagnetic equations.
Thus, it is only through General geometry can it be said that functional models of unified gravitation and electromagnetism can be proposed, and General geometry can even predict that electromagnetic fields can be mathematically considered as sources of gravitational fields through 4-dimensional coordinate planes.
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