A Multidimensional Deterministic Entropy Engine Based on a 5×5×5 SatorCube with Quantum-Aligned Harmonic Validation

This work presents a deterministic multidimensional entropy engine based on a 5×5×5 SatorCube architecture with Quantum-Aligned Harmonic Validation.The system integrates deterministic chaotic mappings, multidimensional rotational fields and harmonic-tensor validation layers to stabilize entropy generation under high-intensity stress conditions. The proposed engine is evaluated using multi-gigabyte statistical batteries (NIST SP 800-22, Dieharder, TestU01, and PractRand 1TB-stream), maintaining entropy coherence with no observable degradation across long-duration runs. The SatorCube model extends classical 3D chaotic structures into a 5×5×5 symbolic-mathematical lattice, where each cell interacts through Fibonacci-aligned rotational phases, Ezekiel-patterned cyclic wheels, and a harmonic validator inspired by eigenmode consistency analysis. The architecture is designed to support next-generation cryptographic systems, hardware TRNG emulation, post-quantum security models, and radiation-tolerant entropy pipelines for aerospace and autonomous systems. This publication documents the mathematical foundation, validation methodology, experimental pipeline, and stress-test results of the SATOR-KayosCrypt Engine, establishing a deterministic yet physically-aligned approach to modern entropy generation.