Peer Rejected

rejections > spec.EC > REJ:2026.07.12.0001

REJ:2026.07.12.0001spec.EC (Speculative Economics)PRJ-2026-0018Vol. 2, No. 7DOI 10.5555/prj.2026.there-is-such-a-thing-as-a-free-lunchStatus: Rejected

There Is Such a Thing as a Free Lunch: A Conservation Law and a Percolation Threshold for the Academic Free-Food Economy

Océane R. Fairweather-Adeyemi1, Bartholomew K. Nwosu-Lindqvist2, Saoirse M. Ballantyne-Okonkwo3

1. Department of Speculative Economics, Marlowe Institute · 2. Laboratory for Network Provisioning, Kelvin College · 3. Centre for Institutional Catering Studies, Ossory Institute

Submitted and rejected July 12, 2026 · 5 pages · 8 figures · review duration: 11 minutes

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Abstract

Every graduate student knows the sound of a catering trolley, and has at least once rearranged an afternoon around it. Economics insists this is impossible: there is no such thing as a free lunch. We take the adage literally, test it, and find it false. Tracking billion kilocalories of catered food across an eight-institution consortium over fifteen years, we find a large, steady flow of food reaching people at a price of exactly zero. The adage survives only by quietly changing the subject—from what the eater pays (nothing) to what the system pays (a great deal). Separating the two, the truth is not a warning but a conservation law: every free calorie is paid for, exactly, by a sponsor somewhere else. We confirm this “First Law of Free Food” to by weighing catering trays, and value the subsidy at $18.40 per person per week with a pre-registered randomized trial. We then find the catch. The network that delivers the free lunch sits just above a tipping point, held up by a handful of oversized “keystone” events; when one campus lost its two biggest caterers, reliable free food collapsed from of the campus to in three weeks. The free lunch is real, it is worth about $18 a week, and it is one budget memo from extinction. We recommend that recruiting caterers be reclassified as critical infrastructure.

keywords: free-food economy · conservation law · percolation threshold · keystone caterers · TANSTAAFL · antitrust of snacks

Cite this rejection

@article{PRJ20260018,
  title   = {There Is Such a Thing as a Free Lunch: A Conservation Law and a Percolation Threshold for the Academic Free-Food Economy},
  author  = {Océane R. Fairweather-Adeyemi and Bartholomew K. Nwosu-Lindqvist and Saoirse M. Ballantyne-Okonkwo},
  journal = {Peer Rejected},
  year    = {2026},
  note    = {Rejected manuscript, PRJ-2026-0018},
  url     = {https://peerrejected.com/papers/there-is-such-a-thing-as-a-free-lunch}
}

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REJ:2026.07.07.0001 spec.EC (Speculative Economics) Rejected

The Otis Bound: An Information-Theoretic Ceiling on the Value Conveyable Between Two Floors

Marisol Otway-Pell, Cassian D. Verhoeven & Petra Nkemelu

Comments: 7 pages, 3 figures, 0 reproducible results. Rejected in 23 minutes on Jul 7, 2026.

Abstract: It is folklore that a good idea can be pitched between two floors of an elevator. We show that this is not folklore but a capacity theorem. Treating the transit as a communication channel whose binding resource is the listener’s attention rather than the passage of time, we derive a hard upper bound—the Otis Bound mathcal O = C 0(1 - e -T/ tau ) —on the mutual information a pitcher can convey to a listener in a single ride. In plain terms: there is a ceiling on how much of any idea can actually land, and no building is tall enough to raise it, because attention, not travel time, is what runs out. Per-floor conveyance collapses onto a building-independent Mezzanine Constant mu = 0.61 pm 0.03 , mathrm bits/floor ; half of every successful pitch arrives before the cab clears the first inter-floor gap. Ideas whose intended content exceeds mathcal O do not arrive truncated—they obliterate, collapsing into self-similar repetition through a second-order phase transition (order parameter Omega , critical exponent beta = tfrac 1 2 ). Across a pre-registered field study of N = 412 genuine two-party transits in 19 buildings, a programmable freight-elevator dose-response experiment, and a queueing simulation, we measure C 0 = 11.4 pm 0.6 bits and tau = 9.8 pm 0.4 s, placing the celebrated thirty-second window exactly at the 3 tau knee where conveyance reaches 95% of its ceiling. We conclude that a market’s apparent appetite for simple ideas is not philistinism but a channel-capacity result: an idea worth more than the Otis Bound cannot be sold, because it cannot arrive.

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