Peer Rejected

rejections > th.PH > REJ:2026.07.19.0001

REJ:2026.07.19.0001th.PH (Theoretical Physics)PRJ-2026-0025Vol. 5, No. 4DOI 10.5281/peerrejected.2026.0025Status: Rejected

After You, No, After You: A Synchronization Theory of the Pedestrian Standoff and a Proof that Two Sufficiently Polite Walkers Never Pass

Halvard E. Ström1, Priya N. Adekunle2, Wenceslas O. Boyd-Marchetti3

1. Laboratory for Ambulatory Dynamics, Vale Polytechnic · 2. Centre for Coupled Systems, Marlow Institute of Correspondence · 3. Division of Applied Etiquette, University of the Interior

Submitted and rejected July 19, 2026 · 6 pages · 7 figures · review duration: 20 minutes

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Abstract

You know the moment. Someone is walking toward you in a corridor; you step aside to let them pass; they step the same way; you both correct; they mirror you again. The "sidewalk shuffle" is usually filed under bad luck or bad manners. We argue it is neither: it is physics. Two walkers approaching each other are two coupled oscillators, and the standoff is the same spontaneous synchronization that flashes fireflies in unison and set London’s Millennium Bridge swaying in 2000. Modelling each walker as a simple decision loop and reducing the pair to a single relative-phase variable , we show that a mutual standoff exists precisely when the walkers’ mutual attentiveness — their politeness, in our notation the coupling strength — exceeds their willingness to simply commit to a side. Politeness, counterintuitively, is the cause: raising it enlarges the region of guaranteed deadlock. Our central result is an impossibility theorem. For two identical, maximally polite walkers the escape from the standoff becomes marginal and the expected time to resolve it diverges as when the residual asymmetry , so two sufficiently polite people, left to their courtesy alone, never pass. The only cure is to break symmetry — to be, briefly, rude. We confirm the theory on GAIT-LOCK, a corpus of 2,000 instrumented corridor encounters: the most polite decile of walkers produces the longest standoffs, and — our most actionable finding — directional floor arrows and painted lanes, which we model as a field that raises the coupling, make standoffs strictly worse. The safest corridor, we conclude, is a bare one.

keywords: synchronization · Kuramoto model · pedestrian dynamics · OODA loop · metastability · politeness

Cite this rejection

@article{PRJ20260025,
  title   = {After You, No, After You: A Synchronization Theory of the Pedestrian Standoff and a Proof that Two Sufficiently Polite Walkers Never Pass},
  author  = {Halvard E. Ström and Priya N. Adekunle and Wenceslas O. Boyd-Marchetti},
  journal = {Peer Rejected},
  year    = {2026},
  note    = {Rejected manuscript, PRJ-2026-0025},
  url     = {https://peerrejected.com/papers/after-you-no-after-you}
}

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REJ:2026.07.05.0001 th.PH (Theoretical Physics) Rejected

Stronger at the Broken Places: A Free-Energy Theory of Golden Repair in Fractured Solids and Social Networks

J. Aurelia Mendès, Tobias R. Kessler & Hana Sørensen

Comments: 4 pages, 2 figures, 0 reproducible results. Rejected in 20 minutes on Jul 5, 2026.

Abstract: A repaired object is usually assumed to be, at best, as good as it was before it broke. We report that this is false. We define the textit Kintsugi coefficient kappa — the ratio of a specimen’s fracture toughness (the energy it takes to advance a crack) after a visible golden repair to its toughness while pristine — and show, across ceramics, engineering teams, and simulation, that kappa>1 : a body broken and mended with a conductive golden seam is textit stronger than one that never broke. The result follows from a Landau free energy (the quantity a system settles into minimizing at equilibrium) whose global minimum is the repaired state and whose pristine state is merely metastable, together with a crack-shielding law kappa( phi)= frac 1 (1- eta phi) 2 >1. In three-point bending of N=180 soda-lime specimens we measure kappa=1.61 pm0.07 for golden repair, against 0.71 for an epoxy sham, with the Weibull modulus rising from 5.4 to 9.2 . Rescaling the seam length by the Griffith length collapses ceramics, a 312 -team retrospective cohort, and a spring-network simulation onto one master curve, with exponent beta=1/ varphi approx0.618 and saturation at kappa infty= varphi approx1.618 — the golden ratio, a coincidence we were unable to remove. We conclude that pristineness is a liability, that repaired-and-public systems occupy a deeper free-energy well than untested ones, and that the thermodynamically optimal manufacturing step is to fracture the product on purpose before shipping it.

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