arXiv subjects

Ilja Schmelzer

Publications and source records attributed to Ilja Schmelzer.

9 recordsLinked to original sources

arXiv2019

The Wallstrom objection as a possibility to augment quantum theory

Wallstrom has argued that quantum interpretations which construct the wave function starting from Madelung variables $ψ(q)=ρ(q)\exp(\frac{i}{\hbar}S(q))$, in particular, many variants of Nelsonian stochastics, are not equivalent to quantum theory. Accepting this, we explicitly add the physical restriction $(\forall q\in Q)|ψ(q)|^2>0$ in the configuration space representation to quantum theory. The resulting theories depend on the choice of the configuration space $Q$. The restriction adds possibilities to falsify such theories, making them preferable following Popper's criterion of empirical content until they have been really falsified. Considering the case of a relativistic scalar field, we argue that it is reasonable to expect that the variant based on particle ontology can be (or even has been already) falsified, while to falsify the variant based on field ontology seems much harder, if not impossible. If correct, switching to a field ontology seems a reasonable choice for interpretations based on Madelung variables to circumvent the Wallstrom objection.

quant-ph↗

arXiv2009

General Ether Theory and Graviton Mass

We introduce additional restriction into "general ether theory" - a generalization of Lorentz ether theory to gravity - which fixes the signs of the cosmological constants in this theory. This leads to an oscillating universe, thus, solves the cosmological horizon problem without inflation. We prove the equivalence of the Lagrangian of this theory with Logunov's "relativistic theory of gravity" with massive graviton and a variant of GR with four non-standard scalar fields and negative cosmological constant. We consider the remaining differences between these theories.

gr-qc↗

arXiv2009

Why the Hamilton operator alone is not enough

In the many worlds community seems to exist a belief that the physics of a quantum theory is completely defined by it's Hamilton operator given in an abstract Hilbert space, especially that the position basis may be derived from it as preferred using decoherence techniques. We show, by an explicit example of non-uniqueness, taken from the theory of the KdV equation, that the Hamilton operator alone is not sufficient to fix the physics. We need the canonical operators p, q as well. As a consequence, it is not possible to derive a "preferred basis" from the Hamilton operator alone, without postulating some additional structure like a "decomposition into systems". We argue that this makes such a derivation useless for fundamental physics.

quant-ph↗

arXiv2003

Space-geometric interpretation of standard model fermions

Based on the geometric interpretation of the Dirac equation as an evolution equation on the three-dimensional exterior bundle /(R^3), we propose the bundle (T x / x /)(R^3) as a geometric interpretation of all standard model fermions. The generalization to curved background requires an ADM decomposition M^4=M^3 x R and gives the bundle (T x / x /)(M^3). As a consequence of the geometric character of the bundle there is no necessity to introduce a tetrad or triad formalism. Our space-geometric interpretation associates colors as well as fermion generations with directions in space, electromagnetic charge with the degree of a differential form, and weak interactions with the Hodge star operator. The space-geometric interpretation leads to different physical predictions about the connection of the SM with gravity, but gives no such differences on Minkowski background.

hep-th↗

arXiv1998

A Metric Theory of Gravity with Condensed Matter Interpretation

We define a metric theory of gravity with preferred Newtonian frame (X^i(x),T(x)) by L = L_{GR} + Ξg^{mn}δ_{ij}X^i_{,m}X^j_{,n} - Υg^{mn}T_{,m}T_{,n} It allows a condensed matter interpretation which generalizes LET to gravity. The Ξ-term influences the age of the universe. Υ>0 allows to avoid big bang singularity and black hole horizon formation. This solves the horizon problem without inflation. An atomic hypothesis solves the ultraviolet problem by explicit regularization. We give a prediction about cutoff length.

gr-qc↗

arXiv1998

Quantization of Gravity Based on a Condensed Matter Model

One way the ultraviolet problem may be solved is explicit physical regularization. In this scenario, QFT is only the long distance limit of some unknown non-Poincare-invariant microscopic theory. One can ask how complex and contrived such microscopic theories should be. We show that condensed matter in standard Newtonian framework is sufficient to obtain gravity. We derive a metrical theory of gravity with two additional to GR cosmological constants. The observable difference is similar to homogeneously distributed dark matter with p = -1/3 epsilon. resp. p = epsilon. The gravitational collapse stops before horizon formation and evaporates by Hawking radiation. The cutoff is not the Planck length, but expanding together with the universe. Thus, in some cosmological future microscopic effects become observable.

gr-qc↗

arXiv1997

Realism And Empirical Evidence

We define realism using a slightly modified version of the EPR criterion of reality. This version is strong enough to show that relativity is incomplete. We show that this definition of realism is nonetheless compatible with the general principles of causality and canonical quantum theory as well as with experimental evidence in the (special and general) relativistic domain. We show that the realistic theories we present here, compared with the standard relativistic theories, have higher empirical content in the strong sense defined by Popper's methodology.

gr-qc↗

arXiv1996

Postrelativity --- A Paradigm For Quantization With Preferred Newtonian Frame

We define a new paradigm --- postrelativity --- based on the hypothesis of a preferred hidden Newtonian frame in relativistic theories. It leads to a modification of general relativity with ether interpretation, without topological problems, black hole and big bang singularities. Semiclassical theory predicts Hawking radiation with evaporation before horizon formation. In quantum gravity there is no problem of time and topology. Configuration space and quasiclassical predictions are different from canonical quantization of general relativity. Uncertainty of the light cone or an atomic structure of the ether may solve ultraviolet problems. The similar concept for gauge fields leads to real, physical gauge potential without Faddeev-Popov ghost fields and Gribov copy problem.

gr-qc↗

arXiv1996

Post-Relativistic Gravity - A Hidden Variable Theory For General Relativity

Post-relativistic gravity is a hidden variable theory for general relativity. It introduces the pre-relativistic notions absolute space, absolute time, and ether as hidden variables into general relativity. Evolution is defined by the equations of general relativity and the harmonic coordinate condition interpreted as a physical equation. There are minor differences in predictions compared with general relativity (i.e. trivial topology of the universe is predicted). The unobservable absolute time is designed to solve the problem of time in quantization of general relativity. Background space and time define a Newtonian frame for the quantization of the gravitational field. By the way, a lot of other conceptual problems of quantization will be solved (i.e. no constraints, no topological foam, no black hole and bib bang singularities, natural vacuum definition for quantum fields on classical background).

gr-qc↗