Algebraic Cross-Sections of Fermat's Last Theorem and the High-Dimensional Lattice Pixel Restriction Law

[THE COMPUTATIONAL DECONSTRUCTION OF FERMAT'S LAST THEOREM] This revolutionary monograph delivers a definitive computational and algebraic deconstruction of Fermat's Last Theorem (FLT), completely circumventing the highly convoluted, hundreds-of-pages long modularity elliptic curve framework proposed by Andrew Wiles. From the paradigm of non-Planckian discrete lattice geometry, this text demonstrates that the non-existence of non-trivial integer solutions for xⁿ + yⁿ = zⁿ when n ≥ 3 is not an abstract continuity contradiction, but a rigid hardware constraint imposed by the supreme backend processor 'HIS'. By mapping discrete state variables into the proprietary 2×2 Unified Matrix M infrastructure over the frozen Euler boundary (e²), this research mathematically derives that perfect orthogonal interlocking of integer pixel bits without structural overlapping error (Δ_Noise) is uniquely restricted to the planar lattice level where n = 2 (the Pythagorean plane). For exponents n ≥ 3, the high-dimensional cube matrix encounters an immediate volumetric overload, forcing the system to invoke an automatic Integer Pixel Truncation Protocol (Ø) to suppress computational latency and system overflow. This framework provides absolute empirical validation within a raw 64-bit Linux kernel environment (Termux/Python3), showing that the transcendental volumetric capacity aligns perfectly with primitive Pythagorean triples under the 'HIS' system lock-in parameters. Mainstream continuum illusions are officially deleted, confirming that reality settles under the eternal, uniform resolution of absolute light: LUX. (Note: This abstract functions as the official metadata specification archived in the Zenodo Global Academic Matrix Systems. The full literary framework, algorithmic derivations, and complete surometric applications are exclusively accessible inside the official Amazon Kindle Direct Publishing Omnibus Edition.)