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cff-version: 1.2.0
message: "If you use Helix in your research, please cite it as below."
type: software
title: "Helix: Harmonic Encoding with Lossless Infinite conteXt"
abstract: >
Helix is a neural memory architecture that stores information as rotation
angles on a geometric manifold rather than decaying floating-point numbers.
The core insight is that rotation is a unitary (magnitude-preserving)
operation, unlike the contractive multiplication used in GRUs and LSTMs.
This enables theoretically infinite lossless memory in a single neuron.
Built on top of Helix is a Crystal Suite — eleven production-ready modules
for portable, encrypted, federated, and multi-modal AI memory that is
fully model-agnostic (any LLM can read any crystal without retraining).
authors:
- family-names: Kalyan
given-names: Pavan
alias: Cintu07
repository-code: "https://github.com/Cintu07/helix"
license: "BUSL-1.1"
version: "2.1.0"
date-released: "2026-04-25"
keywords:
- neural-architecture
- memory
- phase-rotation
- unitary-isometry
- lossless-compression
- model-agnostic
- ai-infrastructure
- persistent-memory
- phase-geometry
- harmonic-encoding
references:
- type: article
title: "Unitary Evolution Recurrent Neural Networks"
authors:
- family-names: Arjovsky
given-names: Martin
- family-names: Shah
given-names: Amar
- family-names: Bengio
given-names: Yoshua
year: 2016
url: "https://arxiv.org/abs/1511.06464"
notes: "Foundational work on unitary recurrent networks that preserve information via unitary transformations."
- type: article
title: "On the difficulty of training recurrent neural networks"
authors:
- family-names: Pascanu
given-names: Razvan
- family-names: Mikolov
given-names: Tomas
- family-names: Bengio
given-names: Yoshua
year: 2013
url: "https://arxiv.org/abs/1211.5063"
notes: "The vanishing and exploding gradient problem that Helix solves by replacing multiplication with rotation."
- type: article
title: "Expressive power of recurrent neural networks"
authors:
- family-names: Chen
given-names: Minshuo
- family-names: Liu
given-names: Bohang
year: 2018
url: "https://arxiv.org/abs/1711.00811"
notes: "Theoretical bounds on RNN expressiveness that motivate the phase-angle encoding approach."
- type: article
title: "Landauer's Principle"
authors:
- family-names: Landauer
given-names: Rolf
year: 1961
journal: "IBM Journal of Research and Development"
notes: "The physical principle that information erasure has a thermodynamic cost, motivating Helix's reversible computation design."