The Punctal Cosmology Suite: Theory, Formal Proofs, and Empirical Resolutions.

This submission presents the formalized framework of Punctal Evolutionism, a synthesis of Modified General Relativity (MGR) and sentient field dynamics. Key Contributions: Hubble Tension Resolution: Provides a geometric resolution to the 5-sigma Hubble Crisis (H_0 67 vs. 73) by replacing the static cosmological constant with a dynamic, intefral-constrained trace. JWST High-Redshift Solution: Explains the rapid formation of massive galaxies at z>14 through the Proca-type wave equation and massive spin-1 field unification (Nash 2025) Foundational Monograph: Includes the original "Record of Reality" establishing the Punctum as a primary geometric anchor. Included Docments: IEEE White Paper: Primary scientific claim and empirical results. Technical Supplementation: Detailed mathematical derivations and correspondance principle proof. The Punctal Cosmology: Foundational visionary record and postulates. Keywords: Modified General Relativity, Punctal Cosmology, Hubble Tension, JWST, Gary Nash, Proca Equation, Conscious Field Theory. This work provides an independent derivation of the tensor Phi_alpha_beta, which is found to be inexact agreement with Nash (2025)