99 citations · 270 across the 30 of their papers we have counts for
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A No-Go Theorem for Quantum Cosmologies with Non-natural Hamiltonians
Christine C. Dantas
The Eisenhart-Duval lift (ED) geometrizes classical dynamics by embedding their trajectories into null geodesics of a higher-dimensional Lorentzian spacetime. However, such a const…
Expanding and Self-Organizing 2D Universe Models Emerging from Frozen Trivalent Spin Networks
Christine C. Dantas
We revisit the topic of self-organized criticality (SOC) in simple statistical graph models, with the purpose of capturing essential processes leading to the emergence of macroscop…
An Inhomogeneous Space-Time Patching Model Based on a Nonlocal and Nonlinear Schrodinger Equation
Christine C. Dantas
We consider an integrable, nonlocal and nonlinear, Schrödinger equation (NNSE) as a model for building space-time patchings in inhomogeneous loop quantum cosmology (LQC). We briefl…
Non-linear (loop) quantum cosmology
Martin Bojowald, Alexander L. Chinchilli, Christine C. Dantas +2
Inhomogeneous quantum cosmology is modeled as a dynamical system of discrete patches, whose interacting many-body equations can be mapped to a non-linear minisuperspace equation by…
An Approach to Loop Quantum Cosmology Through Integrable Discrete Heisenberg Spin Chains
Christine C. Dantas
The quantum evolution equation of Loop Quantum Cosmology (LQC) -- the quantum Hamiltonian constraint -- is a difference equation. We relate the LQC constraint equation in vacuum Bi…
A Note on the Integral Formulation of Einstein's Equations Induced on a Braneworld
Christine C. Dantas
We revisit the integral formulation (or Green's function approach) of Einstein's equations in the context of braneworlds. The integral formulation has been proposed independently b…