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Time evolution of Hamiltonian constraint system: an idea applicable to quantum gravity
Junichi Iwasaki
The Hamiltonian constraint system is the canonical formulation of a physical system with a Hamiltonian constrained to vanish. In terms of the canonical variables, we define what we…
A lattice quantum gravity model with surface-like excitations in 4-dimensional spacetime
Junichi Iwasaki
A lattice quantum gravity model in 4 dimensional Riemannian spacetime is constructed based on the SU(2) Ashtekar formulation of general relativity. This model can be understood as…
A surface theoretic model of quantum gravity
Junichi Iwasaki
A surface theoretic view of non-perturbative quantum gravity as "spin-foams" was proposed by Baez. A possibility of constructing such a model was studied some time ago based on (2+…
Basis states for gravitons in non-perturbative loop representation space
Junichi Iwasaki
A relation between the non-perturbative loop representation space and the semi-classical loop representation space is studied. A sector of (approximate) states and a sector of oper…
Woven Geometries: Black Holes
Junichi Iwasaki
Tangles of loops which approximate an aspect of the Kerr-Newman black hole metrics at large scales compared to the Planck length are constructed. The physical aspect the tangles ap…
A definition of the Ponzano-Regge quantum gravity model in terms of surfaces
Junichi Iwasaki
We show that the partition function of the Ponzano-Regge quantum gravity model can be written as a sum over surfaces in a dimensional space-time. We suggest a geometrical m…
A reformulation of the Ponzano-Regge quantum gravity model in terms of surfaces
Junichi Iwasaki
We reformulate the Ponzano-Regge quantum gravity model in terms of surfaces on a 3-dimensional simplex lattice. This formulation (1) has a clear relation to the loop representation…