Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Reintjes, Moritz"'
Autor:
Reintjes, Moritz, Temple, Blake
We introduce a natural, mathematically consistent definition of the essential (highest possible) regularity of an affine connection -- a geometric property independent of atlas -- together with a checkable necessary and sufficient condition for deter
Externí odkaz:
http://arxiv.org/abs/2412.08928
A limiting case is considered in which the causal action principle for causal fermion systems describing Minkowski space gives rise to the linear Fock space dynamics of quantum electrodynamics. The quantum nature of the bosonic field is a consequence
Externí odkaz:
http://arxiv.org/abs/2410.18045
Autor:
Reintjes, Moritz, Temple, Blake
We show that taking account of bounded curvature reduces the threshold regularity of connection coefficients required for existence and uniqueness of solutions to the geodesic equation, to $L^p_\text{loc}$, one derivative below the regularity $W^{1,p
Externí odkaz:
http://arxiv.org/abs/2306.04868
Autor:
Reintjes, Moritz
In this paper we propose a weaker version of Penrose's much heeded Strong Cosmic Censorship (SCC) conjecture, asserting inextentability of maximal Cauchy developments by manifolds with Lipschitz continuous Lorentzian metrics and Riemann curvature bou
Externí odkaz:
http://arxiv.org/abs/2304.04444
Publikováno v:
Adv.Theor.Math.Phys. 27 (2023) 1463-1589
This paper is dedicated to a detailed analysis and computation of quantum states of causal fermion systems. The mathematical core is to compute integrals over the unitary group asymptotically for a large dimension of the group, for various integrands
Externí odkaz:
http://arxiv.org/abs/2207.13157
Autor:
Reintjes, Moritz, Temple, Blake
We announce the extension of optimal regularity and Uhlenbeck compactness to the general setting of connections on vector bundles with non-compact gauge groups over non-Riemannian manifolds, including the Lorentzian metric connections of General Rela
Externí odkaz:
http://arxiv.org/abs/2202.09535
Autor:
Reintjes, Moritz, Temple, Blake
Publikováno v:
In Journal of Differential Equations 25 May 2024 392:306-324
Autor:
Reintjes, Moritz, Temple, Blake
We extend authors' prior results on optimal regularity and Uhlenbeck compactness for affine connections to general connections on vector bundles. This is accomplished by deriving a vector bundle version of the RT-equations, and establishing a new exi
Externí odkaz:
http://arxiv.org/abs/2105.10765
To further confirm the causality and stability of a second-order hyperbolic system of partial differential equations that models the relativistic dynamics of barotropic fluids with viscosity and heat conduction (H. Freist\"uhler and B. Temple, J. Mat
Externí odkaz:
http://arxiv.org/abs/2012.01220
Autor:
Reintjes, Moritz, Temple, Blake
We resolve the problem of optimal regularity and Uhlenbeck compactness for affine connections in General Relativity and Mathematical Physics. First, we prove that any affine connection $\Gamma$, with components $\Gamma \in L^{2p}$ and components of i
Externí odkaz:
http://arxiv.org/abs/1912.12997