10 citations · 21 across the 8 of their papers we have counts for
8 papers
Effective dynamics of a homogeneous and isotropic universe with quantum curvature
Ilkka Mäkinen
We consider the effective dynamics of a new, tentative model of a homogeneous and isotropic universe in loop quantum cosmology. The new model consists of modifying the standard Ham…
Emergent Thiemann coherent states in the near-kernel sector of quantum reduced loop gravity
Ilkka Mäkinen, Hanno Sahlmann, Waleed Sherif
We study the near-kernel sector of the Hamiltonian constraint operator in the one-vertex model of quantum reduced loop gravity using variational Monte Carlo methods with neural qua…
Quantum-reduced loop gravity: New perspectives on the kinematics and dynamics
Ilkka Mäkinen
We present a systematic approach to the kinematics of quantum-reduced loop gravity, a model originally proposed by Alesci and Cianfrani as an attempt to probe the physical implicat…
Scalar curvature operator for loop quantum gravity on a cubical graph
Ilkka Mäkinen
We introduce a new operator representing the three-dimensional scalar curvature in loop quantum gravity. The operator is constructed by writing the Ricci scalar classically as a fu…
Graphical calculus of spin networks
Emanuele Alesci, Ilkka Mäkinen, Jinsong Yang
Graphical techniques provide a very useful practical device for calculations involving the so-called spin network states, which encode the quantum degrees of freedom of spatial geo…
Operators of quantum-reduced loop gravity from the perspective of full loop quantum gravity
Ilkka Mäkinen
Quantum-reduced loop gravity is a model of loop quantum gravity, which - from the technical point of view - is characterized by the remarkably simple form of its basic operators. I…
Introduction to SU(2) recoupling theory and graphical methods for loop quantum gravity
Ilkka Mäkinen
We present a pedagogical introduction to SU(2) recoupling theory, focusing on those aspects of the topic which are useful for practical calculations in loop quantum gravity. In par…
Dynamics in canonical models of loop quantum gravity
Ilkka Mäkinen
In this thesis we consider the problem of dynamics in canonical loop quantum gravity, primarily in the context of deparametrized models, in which a scalar field is taken as a physi…