English

Degrees of freedom in discrete geometry

General Relativity and Quantum Cosmology 2016-09-20 v2

Abstract

Following recent developments in discrete gravity, we study geometrical variables (angles and forms) of simplices in the discrete geometry point of view. Some of our relatively new results include: new ways of writing a set of simplices using vectorial (differential form) and coordinate-free pictures, and a consistent procedure to couple particles of space, together with a method to calculate the degrees of freedom of the system of 'quanta' of space in the classical framework.

Keywords

Cite

@article{arxiv.1607.07963,
  title  = {Degrees of freedom in discrete geometry},
  author = {Seramika Ariwahjoedi and Jusak Sali Kosasih and Carlo Rovelli and Freddy P. Zen},
  journal= {arXiv preprint arXiv:1607.07963},
  year   = {2016}
}

Comments

20 pages, 21 figures. The information contained in this article was extracted from a doctoral thesis by the author