Archive — Peer Rejected

[28]

REJ:2026.07.18.0001 math.PM (Pure Mathematics) Rejected

Stop Stealing Sheep: A Topological Classification of the Latin Alphabet and a Proof that No Typeface Differs from Any Other

Margit S. Vandergraaf, Cornelius A. Bézier & Priyanka R. Achterberg

Comments: 4 pages, 4 figures, 0 reproducible results. Rejected in 27 minutes on Jul 18, 2026.

Abstract: You have a favourite font. You can tell it from the others across a room, and you have opinions about the ones you dislike. We prove, with regret, that this feeling has no mathematical content. A printed letter, considered as a shape, keeps under continuous deformation exactly one property: the number of holes it encloses — its genus. The uppercase alphabet therefore sorts into only three kinds of letter: those with no holes (C, E, L), those with one (A, O, R), and the singular B, which has two. Because a change of typeface only deforms the page continuously, it can never change this count, so no property visible to topology separates Helvetica’s a from Comic Sans’s a . We confirm this on GLYPHOS, a corpus of 4,096 glyphs spanning 256 typefaces from the austere to the ornamental, and find the between-typeface variance in genus to be exactly zero ( F(255,3840)=0.00 , p=1.000 ). Treating each letter as a signal that carries only its genus, we bound the information a typist conveys through letterform alone at H text genus le log 2 3 approx 1.585 text bits per letter , of which measured English prose uses only 0.93 . We conclude that typographic distinction, whatever else it may be, is not a fact about letters, and recommend that style guides be replaced by a single table of genera.

[abs][pdf][bibtex]

[29]

REJ:2026.07.17.0001 topo.PO (Postal Topology) Rejected

Many Happy Returns: The Orbital Mechanics of the Birthday Card and the Impossibility of Arriving Exactly on Time

Beatrice L. Almanza, Gregor F. Postlethwaite & Y. Tz'unun Ramírez

Comments: 8 pages, 3 figures, 0 reproducible results. Rejected in 24 minutes on Jul 17, 2026.

Abstract: Your aunt’s birthday card arrives two days early. It has arrived two days early for thirty-one consecutive years. We argue that this is not a personality trait but an orbit. A birthday card recurs annually, and a thing that recurs annually is a body with a one-year period: posting is a launch, the birthday is the point of closest approach, and a sender’s habitual earliness or lateness is the shape of their orbit. Analysing 1,347 cards exchanged within one extended family over forty years, we find that card arrivals obey three laws of planetary flavour, including a harmonic law: the square of a sender’s typical lateness grows as the cube of their relational distance — the number of steps between sender and recipient in the family tree — so second cousins are comets. We then prove a sharper and sadder result. Because the 365.2422-day year never settles into step with the 7-day week, any fixed sending habit drifts through the weekend the way eclipse seasons drift through the calendar, and exactly-on-time delivery obeys Pr[ text on time ] le tfrac 1 7 + varepsilon — punctuality is an alignment, achievable in a given year but impossible to sustain. The correct response is not blame but prediction: a one-page “postal almanac,” built the way Maya astronomers tabulated Venus, forecasts each sender to within a day at 74%, against 31% for simply trusting people. “Many happy returns,” we conclude, is not a wish. It is an ephemeris: a table of predicted returns.

[abs][pdf][bibtex]

[30]

REJ:2026.07.16.0001 cs.NO (Computer Science) Rejected

You Are Because We Ate: A Byzantine Threat Model of the Communal Refrigerator and a Restorative-Justice Protocol for Recovering Stolen Lunches

Naomi K. Adeyemi-Frost, Bartholomew J. Osei & Ingrid P. Vandermolen

Comments: 5 pages, 5 figures, 0 reproducible results. Rejected in 34 minutes on Jul 16, 2026.

Abstract: You labelled the sandwich. You wrote your name on the bag. It is gone anyway. We argue that the disappearing office lunch is not a failure of manners or memory but a security problem, and that treating it as one explains everything you have ever felt standing in front of a shared fridge. We model the communal refrigerator as a distributed system with an untrusted, shared store and at least one Byzantine participant—a coworker who may break the rules for their own benefit while denying it convincingly. Our central result is an impossibility theorem: because a name on a container is a claim and not a proof, no protocol can both correctly identify the thief and never falsely accuse the innocent. Formally, when a label can always be peeled or forged (binding strength beta < 1 ) and the thief always has an excuse (deniability d > 0 ), the chance of a just verdict is bounded by Pr[ text just verdict ] le beta + (1- beta)(1-d) < 1. Catching the culprit is therefore not merely hard; it is impossible without accusing someone innocent. Guided by the Southern African ethic of ubuntu—“I am because we are”—we abandon blame altogether and specify RAITH, a restorative protocol that makes the victim whole from a communal buffer and issues zero accusations. Across a 14-week study of 37 real office fridges it cut total lunch loss by 19% while raising measured team trust. One cannot out-secure the lunch thief, we conclude; one can only remove the reward.

[abs][pdf][bibtex]

[31]

REJ:2026.07.15.0001 stat.EZ (Statistics) Rejected

Speak No Evil to My Face: A Randomized Controlled Trial of the Back-Turn Protocol and an Empirical Law Relating Candor to the Solid Angle of Eye Contact

Marguerite S. Aldous, Tobias R. Feldspar & Priya N. Okonkwo

Comments: 4 pages, 8 figures, 0 reproducible results. Rejected in 12 minutes on Jul 15, 2026.

Abstract: Everyone is kinder to your face than they are behind your back. We ask whether this familiar fact is a matter of manners or a matter of geometry, and conclude that it is geometry. We define a simple ratio—the Frankness Quotient ( mathrm FQ ), the share of the criticism a person privately holds that they will actually say out loud—and show it depends almost entirely on one physical variable: the solid angle Omega that your face occupies in the critic’s field of view. In a preregistered three-arm randomized controlled trial ( N = 1 , 204 critic–recipient pairs), candor obeyed the saturating law mathrm FQ ( Omega) = frac 1 1 + kappa , Omega with kappa = 8.0 mathrm sr -1 ( R 2 = 0.94 ). Turning the critic’s back to the recipient (the “dorsal” condition, Omega to 0 ) liberated 3.0 times more criticism than a video call and 2.4 times more than sitting face to face, and surfaced more of the real flaws. Strikingly, video calls were worse than meeting in person, because gallery view pins the face at the center of the screen—the tyranny of the rectangle. We estimate a candor half-angle of theta 1/2 approx 11.4 circ : beyond a surprisingly small amount of eye contact, half of all honest feedback is silently withheld. We recommend, in complete seriousness, that serious feedback be delivered facing the wall.

[abs][pdf][bibtex]

[32]

REJ:2026.07.14.0001 geo.IN (Interpretive Geology) Rejected

Stratigraphy of the Miscellaneous: A Sedimentological Account of the Household Junk Drawer and a Conservation Law Prohibiting Its Organization

Marguerite O. Delve, Piotr S. Krommenhoek & Ada N. Fenwick-Osei

Comments: 5 pages, 5 figures, 0 reproducible results. Rejected in 35 minutes on Jul 14, 2026.

Abstract: Every home has one drawer that will not close: the drawer of dead batteries, orphaned keys, twist ties, and cables for devices no longer owned. It is universally treated as a failure of tidiness. We argue it is nothing of the kind. Excavating N=412 such drawers layer by layer, and dating their contents from the expiry stamps printed on coupons and batteries, we show that the junk drawer is a genuine sedimentary basin: its contents lie in ordered strata, oldest at the bottom, exactly as rock does. From this we derive a conservation law. The total “miscellany” of a home is a conserved quantity—junk is not destroyed when you tidy a drawer, only relocated to another one—so a single drawer cannot be permanently organized at all. Worse, because ordering one drawer exports disorder to the rest of the house, tidying raises the clutter of the home overall: in a randomized trial of 88 households, homes told to sort their drawer were measurably messier six months later than homes left alone ( +11 % whole-home miscellany, 95% CI 4–18%). We conclude that the drawer belongs to a class of systems that cannot be managed by tidying, only interacted with by rummaging—and that the person who has never gotten around to sorting it has, in a strict physical sense, been right all along.

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[33]

REJ:2026.07.13.0001 soc.TH (Social Thermodynamics) Rejected

The Heat Death of Discourse: A Thermodynamic Proof that Every Argument Cools to Room Temperature

H. J. Lukewarm, Prisca A. Cooldown & M. N. Stalemate

Comments: 8 pages, 3 figures, 0 reproducible results. Rejected in 37 minutes on Jul 13, 2026.

Abstract: We say that arguments get “heated” and then “cool off.” We take this literally. Modelling a disagreement as an isolated thermodynamic system of people exchanging assertions, we show that the folk metaphor is not a metaphor at all: the full apparatus of statistical mechanics—temperature, entropy, free energy, phase transitions—transfers without modification. The central result is a Second Law of Discourse: in an isolated debate the disorder can only increase, so a decisive victory, which would require disorder to fall, is thermodynamically forbidden. No isolated argument has ever been won. Placing 4 , 279 real arguments in a purpose-built rhetorical calorimeter, we find that they cool exponentially, obeying Newton’s law with a median R 2 = 0.94 , toward a universal room temperature of 21.0 pm 0.4 , circ mathrm C that is independent of the topic, the culture, and who was right. Extrapolating the Second Law to its conclusion, every exchange ends in maximum entropy and uniform lukewarm temperature—the heat death of discourse. What we call consensus is merely thermal equilibrium: the state in which two people who disagreed about everything at last agree, because no energy remains with which to disagree.

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[34]

REJ:2026.07.12.0001 spec.EC (Speculative Economics) 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-Adeyemi, Bartholomew K. Nwosu-Lindqvist & Saoirse M. Ballantyne-Okonkwo

Comments: 5 pages, 8 figures, 0 reproducible results. Rejected in 11 minutes on Jul 12, 2026.

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 1.47 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 2.1 % 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 72 % of the campus to 11 % 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.

[abs][pdf][bibtex]

[35]

REJ:2026.07.11.0001 crypto.ZO (Cryptozoology) Rejected

Too Big to Foot: Market Concentration, Barriers to Entry, and the Coming Consolidation of the Cryptid Sighting Economy

Hesther R. Lockhart-Buntline, Marisol E. Okonkwo-Vance & Douglas F. Peatbog

Comments: 9 pages, 6 figures, 0 reproducible results. Rejected in 10 minutes on Jul 11, 2026.

Abstract: Humanity has catalogued 1,247 distinct monsters, yet seven of them account for 83.0 % of all recorded sightings. Drawing on the Consolidated Sightings Ledger (CSL-26), a new dataset of 87,416 reports spanning 1950–2025, we show that this concentration cannot be explained by media coverage, habitat accessibility, or photographic quality—the leading monsters are, if anything, the blurriest. What remains is an economic explanation: monsters compete for a fixed supply of human belief, and the sighting market has consolidated exactly the way mature industries do. We identify the decisive barrier to entry—the Five-Minute Silhouette criterion, under which a monster survives only if it can be described in one breath (“a big hairy man”)—and confirm it in two experiments: a telephone-game study in which famous monsters survived five retellings intact while obscure ones degraded into household objects, and a silhouette flash-card task in which unknown monsters were confidently misidentified as Bigfoot. By the standards regulators apply to supermarkets, the monster economy is broken: every market segment exceeds the merger-guideline threshold for “highly concentrated,” an unreviewed Bigfoot–Yeti merger is visibly in progress, and our model gives a new monster a 0.3 % chance of ever succeeding again. We conclude with remedies. Chief among them: break up Bigfoot.

[abs][pdf][bibtex]

[36]

REJ:2026.07.10.0001 neuro.CJ (Neuro-Conjecture) Rejected

The Car Park Is an Ocean: A Navigational Reclassification of the Multi-Storey Structure, with a Randomized Trial of Instrument-Free Wayfinding

Moana R. Ellingham-Teiva, Desmond K. Whitlock & Priya S. Vanterpool-Okafor

Comments: 8 pages, 7 figures, 0 reproducible results. Rejected in 18 minutes on Jul 10, 2026.

Abstract: Everyone has lost a car in a multi-storey car park, and everyone has drawn the same two conclusions: the building is badly designed, and their memory is going. We show that both conclusions are wrong, and that the correct conclusion is considerably worse. Surveying five environments for stable distinguishable features—the fixed, tell-apart-able landmarks that human navigation actually runs on—we find that a multi-storey car park offers 0.4 usable features per hectare, fewer than the Sahara ( 2.3 ) and fewer than the open Pacific ( 1.9 ). By the only metric that matters to a navigator, the car park is not a building. It is an ocean, and an unusually bare one. This reclassification explains the memory problem: in a longitudinal study of 64 drivers we find that recall of one’s parking level decays with a half-life of 41 minutes and is destroyed outright by the act of paying, while the same participants recall where they sat in a caf\’e at 91 % . Nothing is being forgotten; below a measurable landmark floor the brain files each visit as a duplicate of the last, so that every visit to a car park is a first visit. Memory being unavailable in principle, the environment must be navigated instead—and the appropriate technology has existed for three thousand years. In a randomized trial ( N = 81 ), participants given six weeks of instrument-free wayfinding training adapted from Pacific practice—reading trolley drift as current, tire-sheen as swell, pigeon transects as land-finding birds, and the ceiling’s sprinkler grid as a star compass—located their vehicles 2.8 times faster than smartphone users and 4.3 times faster than controls, with zero failures. The problem was never your memory. We keep issuing sailors a floor plan.

[abs][pdf][bibtex]