@InProceedings{bib:verna.26.tug,
  author =	 {Didier Verna},
  title =	 {Quantum Boundaries for Last Line Adjustment},
  booktitle =	 {TUGboat},
  volume =	 47,
  number =	 2,
  pages =	 {267--276},
  editor =	 {Barbara Beeton and Karl Berry},
  organization = {{\TeX} Users Group},
  month =	 sep,
  year =	 2026,
  publisher =	 {{\TeX} Users Group},
  issn =	 08963207,
  doi =	 {10.47397/tb/47-2/tb146verna-lastline},
  abstract =	 {The glue model of \TeX{} is a powerful and elegant
		  abstraction allowing for many typographic applications. One
		  such application is the typesetting of a paragraph’s last
		  line, which requires special treatment. By adding infinitely
		  stretchable glue at the end of a paragraph, the need for
		  special-casing the final line is avoided, albeit at the cost
		  of sub-optimal typesetting. In conscientious typography,
		  optimally typesetting the last line of a paragraph turns out
		  to be a non-trivial problem, especially if one wants to take
		  into account such aesthetic concerns as runt or full-out
		  lines. In this paper, we present an algorithm for optimal
		  last line adjustment, introducing the concept of quantum
		  boundaries: potential line breaks whose exact state remains
		  unknown until an actual paragraph solution is observed.}
}