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June 3, 2026Open Access

Digital-Root Rotary Position Encoding: The 1-2-4-8-7-5 Cycle as a Basis for Sequence Position Representation

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Authors

WWWeslyn Cory Whitehead

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Overview

Proposed Digital-Root RoPE enhances sequence representation, suggesting improvements for AI training.

Key Points

  • The aim is to introduce Digital-Root RoPE, enhancing position encoding in sequence representation.
  • Replaces geometric rotation base with a digital-root-doubling sequence.
  • Implements a periodic structure with a cycle of 6.
  • Applies the cycle to LoRA training using a non-destructive runtime patch.
  • Establishes a unique period-6 structure avoiding symmetry degeneracies.
  • Improves mapping of token positions to Tesla invariant classes.
  • Integrates seamlessly with HuggingFace's existing RoPE framework.

Cite This Study

Weslyn Cory Whitehead (2026) studied this question.

synapsesocial.com/papers/6a1fc696dee9eb8c0dce798fhttps://doi.org/10.5281/zenodo.20484516
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