115 citations · 298 across the 17 of their papers we have counts for
17 papers
Knotted 4-regular graphs: polynomial invariants and the Pachner moves
Daniel Cartin
In loop quantum gravity, states of quantum geometry are represented by classes of knotted graphs, equivalent under diffeomorphisms. Thus, it is worthwhile to enumerate and distingu…
Braids as a representation space of SU(5)
Daniel Cartin
The Standard Model of particle physics provides very accurate predictions of phenomena occurring at the sub-atomic level, but the reason for the choice of symmetry group and the la…
Upper limits on the probability of an interstellar civilization arising in the local Solar neighborhood
Daniel Cartin
At this point in time, there is very little empirical evidence on the likelihood of a space-faring species originating in the biosphere of a habitable world. However, there is a te…
Quantifying the Fermi paradox in the local Solar neighborhood
Daniel Cartin
The Fermi paradox highlights the dichotomy between the lack of physical contact with other civilizations and the expectation that technological civilizations are assumed likely to…
Exploration of the local solar neighborhood I: Fixed number of probes
Daniel Cartin
Previous work in studying interstellar exploration by one or several probes has focused primarily either on engineering models for a spacecraft targeting a single star system, or l…
Numerical Techniques in Loop Quantum Cosmology
David Brizuela, Daniel Cartin, Gaurav Khanna
In this article, we review the use of numerical techniques to obtain solutions for the quantum Hamiltonian constraint in loop quantum cosmology (LQC). First, we summarize the basic…