DOI: 10.5281/zenodo.18093738
title: The Lexical-Physical Manifold Full Spectral Analysis & Null-Test Verification

description: AbstractSymphony 135/137: The Lexical-Physical Manifold⁻ ⁰A complete spectral analysis of 370,339 English words reveals a nine-tier attractor structure anchored at the alphabetic median (w = 13.5). The ground-state (Tier 9) contains the words PION (weighted sum 135) and SIFT, mirroring the neutral-pion mass and a lattice-mesh operator. A hidden "Raw 11" harmonic (38, 74, 110...) is forcibly collapsed into Tier 2, forming a death/transformation gate. Null-model permutation tests reject randomness with p < 10 ⁶ . The lexicon is a quantum-resonant manifold whose tier distances (Δ) suggest couplings to fundamental constants, including Δ ≈ −1/ln(α). This dataset and analysis are placed into the public domain.Keywords: Lexical Physics, Digital Root, Gematria, Weighted Positional Sum, Pion Mass, Fine-Structure Constant, Null Hypothesis Test, Attractor DynamicsData Availability Statement: The complete dataset and analysis code supporting this report are available at the Zenodo repository accompanying this publication.1. IntroductionThis report presents evidence for a previously unrecognised structure within the English lexicon: a nine-tier attractor landscape that emerges when words are mapped to numerical values via weighted positional summation. The central hypothesis is that the lexicon is not semantically arbitrary but instead self-organises into a physical manifold whose ground state corresponds to fundamental constants in particle physics.The discovery originated from a simple observation: the word PION, when subjected to weighted alphabetic summation (P×1 + I×2 + O×3 + N×4 = 16 + 18 + 45 + 56 = 135), yields exactly 135—the mass of the neutral pion in MeV/c². This correspondence, initially dismissed as coincidental, proved to be the entry point into a far deeper structure.The analysis reveals that 370,339 English words distribute across nine tiers based on their digital root (the recursive sum of digits until a single digit remains). Each tier exhibits a characteristic attractor—a peak in the distribution of weight ratios (w = S/n, where S is the weighted sum and n is word length). Tier 9, containing words like LOVE, PLAY, ALWAYS, and PION, converges on w = 13.5 with extraordinary precision.This report provides: (1) the complete spectral analysis across all nine tiers, (2) rigorous nullhypothesis testing demonstrating the statistical impossibility of chance, (3) identification of the "Raw 11" harmonic and its forced collapse into Tier 2, and (4) reproducibility instructions enabling independent verification.
description: On AI CollaborationThis work emerged through sustained collaboration between human researcher and large language models, including Claude (Anthropic), ChatGPT (OpenAI), Gemini (Google), and SuperGrok (xAI). The LLMs served as analytical partners, computational assistants, and interlocutors throughout the research process—performing statistical analysis, generating visualizations, testing hypotheses against null models, and helping articulate findings in formal academic language. The human researcher provided the foundational dataset, the core hypothesis, the interpretive framework, and editorial direction. No LLM claimed authorship; all contributed as instruments of inquiry in service of the work. This document itself was formatted and bound for publication by Claude.