186 citations · 1.1k across the 23 of their papers we have counts for
13 papers · 1 filter
Equivalence of approaches to relational quantum dynamics in relativistic settings
Philipp A. Hoehn, Alexander R. H. Smith, Maximilian P. E. Lock
We have previously shown (arXiv:1912.00033) that three approaches to relational quantum dynamics -- relational Dirac observables, the Page-Wootters formalism and quantum deparametr…
Is the local linearity of space-time inherited from the linearity of probabilities?
Markus P. Mueller, Sylvain Carrozza, Philipp A Hoehn
The appearance of linear spaces, describing physical quantities by vectors and tensors, is ubiquitous in all of physics, from classical mechanics to the modern notion of local Lore…
Can chaos be observed in quantum gravity?
Bianca Dittrich, Philipp A. Hoehn, Tim A. Koslowski +1
Full general relativity is almost certainly 'chaotic'. We argue that this entails a notion of nonintegrability: a generic general relativistic model, at least when coupled to cosmo…
Canonical linearized Regge Calculus: counting lattice gravitons with Pachner moves
Philipp A. Hoehn
We afford a systematic and comprehensive account of the canonical dynamics of 4D Regge Calculus perturbatively expanded to linear order around a flat background. To this end, we co…
Quantization of systems with temporally varying discretization II: Local evolution moves
Philipp A Hoehn
Several quantum gravity approaches and field theory on an evolving lattice involve a discretization changing dynamics generated by evolution moves. Local evolution moves in variati…
Quantization of systems with temporally varying discretization I: Evolving Hilbert spaces
Philipp A. Hoehn
A temporally varying discretization often features in discrete gravitational systems and appears in lattice field theory models subject to a coarse graining or refining dynamics. T…
Effective relational dynamics of a nonintegrable cosmological model
Philipp A Hoehn, Emilia Kubalova, Artur Tsobanjan
We apply the effective approach to evaluating semiclassical relational dynamics to the closed Friedman--Robertson--Walker cosmological model filled with a minimally coupled massive…
Effective relational dynamics
Philipp A. Hoehn
We provide a synopsis of an effective approach to the problem of time in the semiclassical regime. The essential features of this new approach to evaluating relational quantum dyna…
Canonical formalism for simplicial gravity
Philipp A. Hoehn
We summarise a recently introduced general canonical formulation of discrete systems which is fully equivalent to the covariant formalism. This framework can handle varying phase s…
Canonical simplicial gravity
Bianca Dittrich, Philipp A Hoehn
A general canonical formalism for discrete systems is developed which can handle varying phase space dimensions and constraints. The central ingredient is Hamilton's principal func…
An effective approach to the problem of time
Martin Bojowald, Philipp A Hoehn, Artur Tsobanjan
A practical way to deal with the problem of time in quantum cosmology and quantum gravity is proposed. The main tool is effective equations, which mainly restrict explicit consider…
Encoding cosmological futures with conformal structures
Philipp A Hoehn, Susan M Scott
Quiescent cosmology and the Weyl curvature hypothesis possess a mathematical framework, namely the definition of an Isotropic Singularity, but only for the initial state of the uni…
From covariant to canonical formulations of discrete gravity
Bianca Dittrich, Philipp A Hoehn
Starting from an action for discretized gravity we derive a canonical formalism that exactly reproduces the dynamics and (broken) symmetries of the covariant formalism. For lineari…