Complex symbolic thoughts can be perfectly converted into a single beam of light or sound.
April 29, 2026
Original Paper
A wave-geometric duality for hyperdimensional computing
arXiv · 2604.22863
The Takeaway
Hyperdimensional computing uses long strings of numbers to represent ideas and logic. This research establishes a duality where these symbolic operations can be mapped directly to the physical properties of broadband waveforms. This means a computer could perform reasoning by simply mixing and interfering waves rather than flipping digital switches. This approach is potentially thousands of times faster and more energy-efficient than traditional silicon chips. It opens up a new field of physics-based computing where the hardware is the logic.
From the abstract
Hyperdimensional computing (HDC), also referred to as vector symbolic architectures (VSA), represents information with high-dimensional vectors and a compact algebra of primitives. This paper establishes an explicitly unitary embedding from discrete bipolar HDC/VSA vectors to coherent broadband waveforms and develops a common wave-domain realization of the core HDC/VSA primitives within that embedding. Under the resulting RFC/UWE stack, bundling becomes linear superposition, permutation becomes