The Ghost Theorem: A Novel Symmetry-Based Mathematical Concept

The Ghost Theorem is an original mathematical discovery by Ajay Bamniya that defines a unique transformation on the Cartesian plane, referred to as the Ghost Transformation. 

This theorem states that for every set of symmetrically located points along (x, -x, y, -y), the algebraic sum of their signed distances from the origin is always zero under this transformation.

This innovative concept opens new possibilities in analytic geometry, algebra, and symmetry studies, and may inspire further research in advanced mathematics and its applications in higher-dimensional spaces.

Keyword: Ghost Theorem, Symmetry, Algebraic Geometry, Mathematical Visualization, Ghost Points, Axial Symmetry, Theoretical Mathematics