Articles, presentations, and so on

See also my articles about libertarian theory.

The best actual presentations of the current state of research of my theories

• The article about the Cellular Lattice Model (CLM): "A Condensed Matter Interpretation of SM Fermions and Gauge Fields";
• The article about General Lorentz Ether Theory (GLET): "A generalization of the Lorentz ether to gravity with general-relativistic limit".
• The beamer presentation I would use if I had to give a talk tomorrow;

Ether theory

The condensed matter interpretation for particle physics

The in my opinion most important paper is that about my ether (condensed matter) model for the standard model of particle physics:

Some background (referee reports, my comments) of this publication.

• Schmelzer, I.: Neutrinos as pseudo-acoustic ether phonons, arXiv:0912.3892v1: Some further ideas, in particular about the smallness of neutrino masses and the zero mass of the photon.

General Lorentz ether theory:
The condensed matter interpretation for gravity

Foundations of quantum theory

• Schmelzer, I.: A solution for the Wallstrom problem of Nelsonian stochastics, arXiv:1101.5774v2: solves the most serious problem of Nelsonian stochastics and other quantum interpretations based on flow variables (density ρ(q)=|ψ(q)|² and velocity v(q)=∇ S(q) = ∇ Im ln ψ(q)) instead of the wave function ψ(q). Wallstrom has objected that in quantum mechanics the integral over a closed path around the zeros of the wave function

  ∫ vⁱ d qⁱ = ∫ ∂_i S(q) d qⁱ = 2 π m

  m has to be an integer, but, instead, for the equations in the flow variables m can be an arbitrary real value. So these interpretation do not derive this "quantization condition". In the paper I propose an additional postulate that Δ ρ has to be positive and finite at points where ρ(q)=0. I prove that this gives the necessary quantization property and give also a justification for this postulate.

• Schmelzer, I.: Why the Hamilton operator alone is not enough, arXiv:0901.3262, published in Found. Phys. vol.39, p. 486 – 498 (2009), DOI 10.1007/s10701-009-9299-4: MWI depends on the assumption that decoherence defines uniquely a preferred basis. We prove, using some well-known facts from the theory of the Korteweg - de Vries equation, that there are physically different choices of the preferred basis, related to different decompositions of the universe into systems.
• Schmelzer, I.: Pure quantum interpretations are not viable, arXiv:0903.4657v3, publised in Found. Phys. vol. 41, 2, p. 159-177 (2011), DOI 10.1007/s10701-010-9484-5: Pure interpretations of quantum theory, which throw away the classical part of the Copenhagen interpretation without adding new structure to its quantum part, are not viable. This is a consequence of the non-uniqueness result for the canonical operators obtained in arXiv:0901.3262.
• Schmelzer, I.: A symmetry problem in the Copenhagen interpretation, arXiv:0909.0175v1: Here I use the non-uniqueness problem to attack the Copenhagen interpretation: While it solves the non-uniqueness problem by their association of the canonical operators with experimental arrangements, this association is necessarily vague. This proves that the vague classical part of the Copenhagen interpretation contains physically important information. But in this case, this vague part is also important for the computation of the symmetry group of the theory. To derive an exact symmetry from a vague theory is impossible in principle, which defines a symmetry problem for the Copenhagen interpretation.
• Schmelzer, I.: Overlaps in pilot wave field theories, arXiv:0904.0764v3, published in Found Phys vol. 40: 289 – 300 (2010), DOI 10.1007/s10701-009-9394-6: The equivalence proof between pilot wave theories and the corresponding quantum theories contains a weak point: One has to show that macroscopically different states do not overlap significantly in the pilot wave variables. It has been questioned that this holds for pilot wave theories with field ontology. We show that the overlap decreases almost exponentially with the number of particles, thus, becomes insignificant for macroscopic particle numbers.
• Schmelzer, I.: About the relation between pilot wave beables and decoherence, arXiv:0907.5284: I consider the relation between pilot wave beables and decoherence-preferred observables for more general choices of beables.

Quantum gravity

• Schmelzer, I.: The background as a quantum observable: Einstein's hole argument in a quasiclassical context, arXiv:0909.1408v1: We present a quantum version of Einstein's hole argument, with a superposition of two gravitational fields. Different from the classical case, it shows that a covariant, background-free theory cannot describe the physics correctly. (A first, more informal version has been rejected by Foundations of Physics.)

In German

• An FAQ about de Broglie-Bohm pilot wave theory.
• An introduction into Nelsonian stochastics.

In Russian

• An older russian version of the beamer presentation.