4 papers
Lenses in Minkowski space optimize queues by hiding bottleneck units
Eitan Bachmat, Sveinung Erland, Vidar Frette +1
We mathematically construct focal lenses for positive-mass particles in Minkowski space. Particles emanating from a point source, refocus with synchronized proper time regardless o…
The Mesoscale Crystallinity of Nacreous Pearls
Jiseok Gim, Alden Koch, Laura M. Otter +5
A pearl's distinguished beauty and toughness are attributable to the periodic stacking of aragonite tablets known as nacre. Nacre has naturally occurring mesoscale periodicity that…
Lorentzian geometry and variability reduction in airplane boarding: Slow passengers first outperforms random boarding
Sveinung Erland, Jevgenijs Kaupužs, Albert Steiner +1
Airlines use different boarding policies to organize the queue of passengers waiting to enter the airplane. We analyze three policies in the many-passenger limit by a geometric rep…
Lorentzian geometry based analysis of airplane boarding policies highlights slow passengers first as better
Sveinung Erland, Jevgenijs Kaupužs, Vidar Frette +2
We study airplane boarding in the limit of large number of passengers using geometric optics in a Lorentzian metric. The airplane boarding problem is naturally embedded in a 1+1 di…