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Induced quantum gravity from QFT vector models
Matti Raasakka
QFT vector models are a newly developed approach to quantum gravity, which are based on induced gravity in discrete spacetimes. Here we review some basic definitions and properties…
Spacetime granularity from finite-dimensionality of local observable algebras
Matti Raasakka
There are important indications that nature may be locally finite-dimensional, i.e., that any spatially bounded subsystem can be described by a finite-dimensional local observable…
Local Lorentz covariance in finite-dimensional Local Quantum Physics
Matti Raasakka
We show that local Lorentz covariance arises canonically as the group of transformations between local thermal states in the framework of Local Quantum Physics, given the following…
Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure
Matti Raasakka
Motivated by hints of the effective emergent nature of spacetime structure, we formulate a spacetime-free algebraic framework for quantum theory, in which no a priori background ge…
Asymptotic Analysis of the Ponzano-Regge Model with Non-Commutative Metric Boundary Data
Daniele Oriti, Matti Raasakka
We apply the non-commutative Fourier transform for Lie groups to formulate the non-commutative metric representation of the Ponzano-Regge spin foam model for 3d quantum gravity. Th…
Combinatorial Hopf algebra for the Ben Geloun-Rivasseau tensor field theory
Matti Raasakka, Adrian Tanasa
The Ben Geloun-Rivasseau quantum field theoretical model is the first tensor model shown to be perturbatively renormalizable. We define here an appropriate Hopf algebra describing…