Universal Coordinate-space Encoding and Metamathematical Paradigm: Static Axisaura Framework for Higher-order Abstraction in Computational Environments
Year: 2026
Type: preprint
Abstract: This paper formalizes the universal mathematical and structural foundation of the AxisAura coordinate-space computing paradigm, shifting data processing from dynamic waveform or algorithmic computation to multi-dimensional static location-based navigation. Classical computing architectures are bounded by Von Neumann memory walls and the thermodynamic overhead of active Digital Signal Processing (DSP) necessary to resolve channel noise and signal distortion. The AxisAura framework bypasses active signal computation entirely by mapping binary bitstreams into static multidimensional state spaces. Operating via the formalized "3=4" Principle, arbitrary data blocks are structured as 24-bit informational atoms, which are isomorphically mapped without collisions into a 32-bit coordinate vector comprising four mutually non-intersecting 8-bit orthogonal intervals spanning the 0–255 byte spectrum. This mathematical matrix guarantees zero address collision and allows immediate, hardware-level O(1) state resolution using passive physical components. This paper establishes the framework as an abstract, hardware-agnostic cross-platform computational layer applicable to radio-frequency channels, optical interconnects, cryogenic quantum registers, and advanced software architectures.
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7208711724
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