The Quantized Cosmic Web: Dual Hemisphere Confirmation

6M OBJECT FALSIFICATION OF THE COSMOLOGICAL PRINCIPLE 823𝛔 (STOUFFERS) 873𝛔 (UNWEIGHTED) This paper presents the results of a comprehensive forensic audit of 3. 6 million independent celestial objects, including 2. 1 million Luminous Red Galaxies (LRGs) from the Dark Energy Spectroscopic Instrument (DESI) DR1 V1. 5 PIP Clustering catalogues and 143, 066 spectroscopic objects from the Euclid Amazonia and Congo deep fields. The analysis is designed as a direct empirical test of the Cosmological Principle—the century-old assumption that the universe is statistically homogeneous and isotropic on large scales—against the alternative hypothesis of an underlying geometric scaffold. Employing model-free Starkness tests, surgical Fourier decomposition, angular nearest-neighbour analysis, and million-trial Monte Carlo simulations (including 4, 000, 000 iterations across four independent DESI sub-samples), we definitively falsify the Gaussian random field hypothesis. The observed redshift and angular distributions exhibit extreme hyper-clumping and hyper-uniformity, with statistical significances reaching 602. 26σ in the North Galactic Cap (NGC) and 380. 70σ in the South Galactic Cap (SGC). Zero random trials across all 4, 000, 000 simulations approached the observed structure. The entire cosmic web is shown to be governed by a single universal constant, χ = 1. 822 ± 0. 006, which emerges from the data with relentless regularity. This constant organises matter into a globally coherent "octave ladder" of harmonic spacings—specifically χ/10, χ/21, χ/42, and χ/64—detected with overwhelming power (up to 128σ) across independent surveys and binning resolutions spanning two orders of magnitude. Critical discoveries of this audit include: · Dual-Hemisphere Phase Lock: A Global Phase Shift of exactly 0. 00 Mpc between the North and South Galactic Caps, confirming that both hemispheres are two perspectives of a single, rigid, continuous geometric scaffold. · Absolute Isotropy: Primary redshift spacings in the two hemispheres are identical to within 0. 0023% (Δz = 0. 175000 vs. 0. 174996), ruling out any local anomaly or instrumental artefact tied to a single telescope. · Angular Harmonic Ladder: Both hemispheres exhibit multiples of the fundamental angular spacing χ/6 (3× through 10×) with match precisions of 99. 6% to 99. 98%, and power ratios precisely proportional to the 2. 23× sample size difference. · Three-Dimensional Vertex-Lock: High-density node extraction reveals a consistent cubic open-lattice geometry in both hemispheres, with a universal Quantization Index of 1. 71 (identical to within 0. 6%) and characteristic spacings of 40. 61 Mpc (North) and 33. 51 Mpc (South) —the 17% difference being the direct signature of the Milky Way's motion through the absolute cosmic frame (the Dipole Offset). · Hardware Independence: The lattice is detected with equal or greater significance using entirely independent imaging surveys (BASS/MzLS on Kitt Peak for the North; DECaLS on Blanco in Chile for the South) and confirmed by DESI spectroscopy, eliminating any possibility of telescope-specific artefacts. The combined statistical significance of the DESI (DESI) sample alone exceeds 712σ. When synthesized with the eight independent surveys of the CODA report (Hyde 2026k, 504σ across 172, 000 objects), the grand total significance reaches 823σ under the most conservative Stouffer weighted method, and 873σ unweighted. The empirical probability of observing such coherent structure in a Gaussian random field is p ≈ 10^ (-146, 000), a number so vanishingly small as to be effectively zero. These results provide irrefutable empirical evidence that the large-scale structure of the universe is not a stochastic distribution. It is a phase-locked, holographic, three-dimensional geometric manifold. This work renders the stochastic assumptions of the standard ΛCDM model untenable, eliminates the requirement for dark matter and dark energy as mathematical placeholders, and establishes the χ-manifold as the fundamental skeletal structure of the cosmos. ADDITIONAL PAPER OF THE FALSIFICATION SERIES: CODA (HYDE 2026k) https: //zenodo. org/records/19582699 Methodological Integrity: The Falsification AuditUnlike standard confirmation-bias studies, the Hyde 2026k CODA was explicitly designed as a self-falsification suite. Utilizing the unprecedented resolution of the DESI v1. 5 PIP "Iron" release, the audit attempted to dissolve the previously identified χ-lattice under the weight of more rigorous systematic corrections and higher object counts. However, rather than falsifying the prior findings, the Hyde 2026L synthesis demonstrates that the signal not only survived the transition to the most corrected "Physical Inverse Probability" (PIP) datasets but intensified. The transition from 2026k to 2026l marks the shift from a "putative signal" to an irreducible empirical fact, as the lattice alignment was found to be more robust in the very datasets designed to obscure it.