arXiv subjects

I. Schmelzer

Publications and source records attributed to I. Schmelzer.

27 records · Page 2Linked to original sources

arXiv2009

A quantum variant of Einstein's hole argument

We extend Einstein's hole argument into the quantum domain, and argue that quantum observables for quasiclassical superpositional states of gravitational fields require additional information to be well-defined, namely, relative positions of the gravitational fields involved in superpositional states. As a consequence, for the definition of these quantum observables we need a common background. The observable is a transition probability in a simple double-slit experiment with partial gravitational measurement of position. It may be easily computed in non-relativistic Schroedinger theory with Newtonian potential.

quant-ph↗

arXiv2003

A doubler-free lattice theory for QCD based on geometric fermions

We present doubler-free gauge-invariant lattice vector gauge action for some real representations of Wilson gauge fields on an octet of fermions. It is based on a geometric representation of the Dirac equation as an evolution equation on the three-dimensional exterior bundle /(R^3) for a single bispinor and of the bundle (/\x/)(R^3) for an octet. We find doubler-free lattice Dirac operators for above bundles. A gauge-invariant connection with Wilson lattice gauge fields is possible for some real representations of the gauge group. The QCD action of SU(3) is of this type. Application in lattice QCD seems useful: We don't have to waste time and memory for doublers as well as for correction terms to suppress them.

hep-lat↗

arXiv2002

A correspondence between standard model fermions and degrees of freedom of polycrystalline materials

We identify natural degrees of freedom of polycrystalline materials -- affine transformations of grains -- with those of a three-dimensional lattice theory for $(T\otimesΩ)(\mathbb{R}^3)$. We define a lattice Dirac operator on this space and identify its continuous limit with the free field limit of the whole fermionic sector of the standard model. Fermion doubling is used here as a tool to obtain the necessary number of steps of freedom. The correspondence extends to important structural properties (families, colors, flavor pairs, electromagnetic charge). We find a lattice version of chiral symmetry similar to the Ginsparg-Wilson approach. This correspondence suggests to propose a ``polycrystalline ether''. Combined with GLET, a general Lorentz ether theory of gravity with GR limit, this becomes a concept for a theory of everything. The extension to gauge fields is the major open problem and requires new concepts.

hep-th↗

arXiv2002

A Lattice Fermion Doublet With A Generalization Of The Ginsparg-Wilson Relation

We present a new staggered discretization of the Dirac operator. In comparison with standard staggered fermions, real and imaginary parts are located in different nodes. Doubling gives only a doublet of Dirac fermions which we propose to interpret as a physical (lepton or quark) doublet. Contrary to usual staggered fermions, we have no exact chiral symmetry but obtain a generalization of the Ginsparg-Wilson relation.

hep-lat↗

arXiv2001

Derivation of the Einstein Equivalence Principle in a Class of Condensed Matter Theories

We consider a class of condensed matter theories in a Newtonian framework with a Lagrange formalism related in a natural way with the classical conservation laws \partial_t ρ+ \partial_i (ρv^i) = 0 \partial_t (ρv^j) + \partial_i (ρv^i v^j + p^{ij}) = 0 We show that for an algebraically defined ``effective Lorentz metric'' g_{μν} and ``effective matter fields'' ϕthese theories are equivalent to material models of a metric theory of gravity with Lagrangian L = L_{GR} + L_{matter} - (8πG)^{-1}(Υg^{00}-Ξ(g^{11}+g^{22}+g^{33}))\sqrt{-g} which fulfils the Einstein equivalence principle and leads to the Einstein equations in the limit Ξ,Υ\to 0.

gr-qc↗

arXiv2000

A Metric Theory of Gravity with Condensed Matter Interpretation

We consider a classical condensed matter theory in a Newtonian framework where conservation laws \partial_t ρ+ \partial_i (ρv^i) = 0 \partial_t (ρv^j) + \partial_i(ρv^i v^j + p^{ij}) = 0 are related with the Lagrange formalism in a natural way. For an ``effective Lorentz metric'' g_{μν} it is equivalent to a metric theory of gravity close to general relativity with Lagrangian L = L_{GR} - (8πG)^{-1}(Υg^{00}-Ξ(g^{11}+g^{22}+g^{33}))\sqrt{-g} We consider the differences between this theory and general relativity (no nontrivial topologies, stable frozen stars instead of black holes, big bounce instead of big bang singularity, a dark matter term), quantum gravity, and the connection with realism and Bohmian mechanics.

gr-qc↗

arXiv2000

General Ether Theory

The paper is an introduction into General Ether Theory (GET). We start with few assumptions about an universal ``ether'' in a Newtonian space-time which fulfils \partial_t ρ+ \partial_i (ρv^i) = 0 \partial_t (ρv^j) + \partial_i(ρv^i v^j + p^{ij}) = 0 For an ``effective metric'' $g_{μν}$ we derive a Lagrangian where the Einstein equivalence principle is fulfilled: L=L_{GR}-(8πG)^{-1}(Υg^{00}-Ξ(g^{11}+g^{22}+g^{33}))\sqrt{-g} We consider predictions (stable frozen stars instead of black holes, big bounce instead of big bang singularity, a dark matter term), quantization (regularization by an atomic ether, superposition of gravitational fields), related methodological questions (covariance, EPR criterion, Bohmian mechanics).

gr-qc↗

arXiv2000

A Metric Theory of Gravity with Condensed Matter Interpretation

We present a metric theory of gravity with Lagrangian L = (8πG)^{-1}(Ξg^{ii} - Υg^{00})\sqrt{-g} + L_{GR} + L_{matter} motivated by classical equations \partial_t ρ+ \partial_i (ρv^i) = 0 \partial_t (ρv^j) + \partial_i (ρv^i v^j + p^{ij}) = 0 for a medium in Newtonian space-time. We obtain stable ``frozen stars'' instead of black holes and a ``big bounce'' instead of a big bang singularity.

gr-qc↗

arXiv1997

Generalization Of Lorentz-Poincare Ether Theory To Quantum Gravity

We present a quantum theory of gravity which is in agreement with observation in the relativistic domain. The theory is not relativistic, but a Galilean invariant generalization of Lorentz-Poincare ether theory to quantum gravity. If we apply the methodological rule that the best available theory has to be preferred, we have to reject the relativistic paradigm and return to Galilean invariant ether theory.

gr-qc↗