Gyavira Ayebare.B

Force Choreography in High-Field Magnets

Static magnetic containment fails above roughly 100 T because magnetic energy density exceeds the elastic energy capacity of known materials by about three orders of magnitude. This document reframes the problem from stress containment to energy choreography and examines three co...

Unified Eisenstein Multiplexing (UEM): A Finite-Field Arithmetic Framework for Virtualized Lane Computation

This technical note presents the Unified Eisenstein Multiplexing (UEM) framework, a mathematical architecture that unifies Eisenstein integer CRT packing, Goldberg-Coxeter spherical tilings, and signal modulation primitives (NTT, CDMA, MIMO, Turbo codes, AMC, and ECC) into a sing...

The 5-Bit Eisenstein-Norm CRT: A 96 Ops/Cycle Inference Engine for Binary Silicon

This document presents a reduced arithmetic representation for the Eisenstein-Norm CRT framework. By decreasing the lane width from 10 bits to 5 bits (3 mantissa bits and 2 exponent bits), the number of independent lanes per 64-bit word doubles from 6 to 12, achieving a peak thro...

Adaptive Physical Layer Exploitation for CRT-Packed Arithmetic

Shannon's radix economy establishes base‑3 as the most efficient representation for numerical information, yet binary logic dominates hardware. Recent work circumvented this barrier by using the Chinese Remainder Theorem (CRT) over Eisenstein integers to pack six independent comp...

Resonant Geometric Confinement in a Finite-Approximation Kakeya Fractal

This manuscript presents a theoretical framework for a charged particle confinement mechanism based on a finite-iteration approximation of the Kakeya (Besicovitch) fractal. The core proposal is that a particle guided along the discrete slides and pivots of the Perron tree—under a...

Resonant Geometric Confinement in a Finite-Approximation Kakeya Fractal

This manuscript presents a theoretical framework for a charged particle confinement mechanism based on a finite-iteration approximation of the Kakeya (Besicovitch) fractal. The core proposal is that a particle guided along the discrete slides and pivots of the Perron tree—under a...

A Unified Theory of Dense Number Representation via CRT: From Gaussian to Eisenstein Integers

The theoretical superiority of base-3 arithmetic over binary has been recognised since Shannon's foundational work on radix economy, yet ternary logic remains absent from commercial hardware due to fundamental semiconductor constraints. This document presents a comprehensive fram...