• Research Paper: The Prime-Node Geometric Lattice Theory (Version 4.0)

This research paper presents a definitive, precise spatial analysis of a novel geometric paradigm termed 'The Prime-Node Geometric Lattice Theory' by researcher Nandkishor Prajapat. By enforcing strict algebraic constraints (linear equations, absolute parallelism, and triple-point convergences) within a closed triangular boundary, the system forces the total number of internal intersection nodes to adhere strictly to a pure prime sequence (3, 5, 7, and 11). This paper provides exact coordinate formulas, structural charts, and a thorough comparative analysis against classical geometric frameworks such as Euclid's Parallel Postulate, Ceva's Theorem, and Menelaus's Theorem, alongside practical engineering applications in VLSI layout design and advanced cryptography.