Peer Rejected

rejections > quant.LG > REJ:2026.07.08.0001

REJ:2026.07.08.0001quant.LG (Quantum Linguistics)PRJ-2026-0009Vol. 2, No. 6DOI 10.5555/prj.2026.meaning-requires-a-quorumStatus: Rejected

Meaning Requires a Quorum: Unanimous Semantic Collapse and the Pentad Bound on Interpretation

Wilhelmina Ascott-Pryce1, Théodore Nkondo-Vasquez2, Priya Halvorsen3

1. Chair of Distributed Semantics, Ossory Institute for Interpretive Physics · 2. Laboratory of Consensus Measurement, Bellwether College · 3. Centre for the Statistical Mechanics of Agreement, Marlowe Institute

Submitted and rejected July 8, 2026 · 6 pages · 6 figures · review duration: 9 minutes

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Abstract

It is treated as a figure of speech that a listener knows what you mean. We show that it is a capacity theorem. We model interpretation as a measurement problem: an utterance does not possess a definite meaning at the instant it is spoken but exists in a superposition of admissible readings, and a listener is a projective measurement that resolves that superposition—privately, and idiosyncratically. Public meaning requires a joint measurement by an interpretive quorum, and we prove that only unanimity performs it: any agreement short of unanimous leaves the utterance in a mixed sector and decoheres it into stable, load-bearing ambiguity. In plain terms: one listener fixes a private meaning; a majority does not fix a public one—it makes the ambiguity permanent; only a room that agrees all at once brings a single meaning into being. The probability of unanimous collapse falls geometrically with quorum size, , so meaning-making bodies face a hard trade-off between robustness and resolvability whose optimum is a universal constant—the Pentad Bound, . Across a pre-registered field study of naturalistic interpretive events (), a controlled polysemy-dosing experiment on participants, and Monte-Carlo runs of an interpretive lattice, the collapse rate obeys the predicted law, the Consensus and Babel phases are separated by a continuous transition with mean-field exponent , and the optimum quorum sits at five in every method. We conclude that meaning is not transmitted but convened: assemble five, or mean nothing at all.

keywords: quantum semantics · unanimous collapse · Pentad Bound · semantic decoherence · interpretive quorum · consensus transition

Cite this rejection

@article{PRJ20260009,
  title   = {Meaning Requires a Quorum: Unanimous Semantic Collapse and the Pentad Bound on Interpretation},
  author  = {Wilhelmina Ascott-Pryce and Théodore Nkondo-Vasquez and Priya Halvorsen},
  journal = {Peer Rejected},
  year    = {2026},
  note    = {Rejected manuscript, PRJ-2026-0009},
  url     = {https://peerrejected.com/papers/meaning-requires-a-quorum}
}

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REJ:2026.07.09.0001 quant.LG (Quantum Linguistics) Rejected

Swift-Footed Autocomplete: The Homeric Noun–Epithet System as a Zero-Click Predictive-Text Engine, with a Defect Audit of Its Longest-Running Production Incident

Philomena Q. Hexworth-Adeyinka, Telemachus J. Braithwaite-Osei & Dagmar V. Papastavrou-Lindqvist

Comments: 6 pages, 4 figures, 0 reproducible results. Rejected in 9 minutes on Jul 9, 2026.

Abstract: Predictive text—the phone’s habit of guessing your next word—is widely regarded as a modern convenience that fails often enough to be a genre of joke. We show that it is instead an ancient technology that once worked flawlessly, and that its finest deployment has been in continuous production for roughly 2,750 years. Building on Milman Parry’s observation that the Homeric epithet is selected by the space remaining in the verse rather than by the situation—hence “blameless Aegisthus,” an epithet bestowed on the epic’s principal murderer—we demonstrate that the noun–epithet system of the Iliad and Odyssey constitutes a zero-click completion engine. Conditioned on name, grammatical case, and metrical slot, epithet choice carries 0.032 bits of information: the bard, on average, chooses nothing. We audit the system’s fabled economy as a lookup table and find a 0.9 % collision rate; we show in a randomized trial ( N=48 ) that the engine reduces compositional latency 8.7 -fold, to near performance speed; and we measure a semantic defect rate of 0.31 % , roughly thirty times more reliable than the autocorrect in the reader’s pocket. Modern predictive text fails, we argue, because it guesses meaning inside an unconstrained interface, whereas the hexameter constrained the interface until there was nothing left to guess. Our recommendations include a meter.

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