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Related papers: Reflection principles, generic large cardinals, an…

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We show that theory predictions for volume reflection in bent crystals agree with recent experimental data. This makes possible to predict volume reflection angle and efficiency in a broad range of energy for various crystals. A simple…

Accelerator Physics · Physics 2010-11-11 V. M. Biryukov

We show that Dependent Choice is a sufficient choice principle for developing the basic theory of proper forcing, and for deriving generic absoluteness for the Chang model in the presence of large cardinals, even with respect to…

Logic · Mathematics 2023-06-22 David Asperó , Asaf Karagila

A simple condition is given that is sufficient to determine whether a measure that is absolutely continuous with respect to a Gau{\ss}ian measure on the space of distributions is reflection positive. It readily generalises conventional…

Mathematical Physics · Physics 2024-10-08 Jobst Ziebell

In this paper we continue the study in [Gilton-Levine-Stejskalova] of compactness and incompactness principles at double successors, focusing here on the case of double successors of singulars of countable cofinality. We obtain models which…

Logic · Mathematics 2024-08-13 Thomas Gilton , Šárka Stejskalová

We introduce a simple lattice model in which percolation is constructed on top of critical percolation clusters, and show that it can be repeated recursively any number $n$ of generations. In two dimensions, we determine the percolation…

Statistical Mechanics · Physics 2015-08-05 Youjin Deng , Jesper Lykke Jacobsen , Xuan-Wen Liu

Reflecting diffusions on continuum percolation clusters are considered. Assuming that the occupied region has a unique unbounded cluster and the cluster satisfies geometrical conditions such as volume regularity, isoperimetric conditions,…

Probability · Mathematics 2024-03-08 Yutaka Takeuchi

We determine the large cardinal consistency strength of the existence of a $\lambda$-supercompact cardinal $\kappa$ such that GCH fails at $\lambda$. Indeed, we show that the existence of a $\lambda$-supercompact cardinal $\kappa$ such that…

Logic · Mathematics 2012-07-27 Brent Cody

We develop a quantitative description of giant asymmetry in reflectance, recently observed in semicontinuous metal films. The developed scaling-theory based technique reproduces the spectral properties of semicontinuous composites, as well…

It is well-known that natural axiomatic theories are well-ordered by consistency strength. However, it is possible to construct descending chains of artificial theories with respect to consistency strength. We provide an explanation of this…

Logic · Mathematics 2023-06-22 Fedor Pakhomov , James Walsh

Covering matrices were introduced by Viale in his proof that the Singular Cardinals Hypothesis follows from the Proper Forcing Axiom. In the course of his work and in subsequent work with Sharon, he isolated two reflection principles,…

Logic · Mathematics 2016-05-05 Chris Lambie-Hanson

Conventional time is modelled as the one dimensional continuum R^1 of real numbers. This continuity, however, does {\em not} stem from {\em any} fundamental principle. On the other hand, natural time is {\em not} continuous and its values…

Other Condensed Matter · Physics 2007-05-23 P. A. Varotsos

We consider several variants of Keisler's isomorphism theorem. We separate these variants by showing implications between them and cardinal invariants hypotheses. We characterize saturation hypotheses that are stronger than Keisler's…

Logic · Mathematics 2026-01-30 Tatsuya Goto

We continue [GbSh:568] (math.LO/0003164), proving a stronger result under the special continuum hypothesis (CH). The original question of Eklof and Mekler related to dual abelian groups. We want to find a particular example of a dual group,…

Logic · Mathematics 2007-05-23 Ruediger Goebel , Saharon Shelah

Black hole solutions in the context of a generic matter-coupled two-dimensional dilaton gravity theory are discussed both at the classical and semiclassical level. Starting from general assumptions, a criterion for the existence of black…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Mariano Cadoni

We give an intrinsic criterion to tell whether a reflection factorization in the general linear group is reduced, and give a formula for computing reflection length in the general affine group.

Group Theory · Mathematics 2024-02-07 Elise G. delMas , Joel Brewster Lewis

In [FHK13], the authors considered the question whether model-existence of $L_{\omega_1,\omega}$-sentences is absolute for transitive models of ZFC, in the sense that if $V \subseteq W$ are transitive models of ZFC with the same ordinals,…

Logic · Mathematics 2019-12-11 David Milovich , Ioannis Souldatos

A canonical system of basic invariants is a system of invariants satisfying a set of differential equations. The properties of a canonical system are related to the mean value property for polytopes. In this article, we naturally identify…

Representation Theory · Mathematics 2018-07-09 Norihiro Nakashima , Shuhei Tsujie

Classicalons are self-bound classical field configurations, which include black holes in General Relativity. In quantum theory, they are described by condensates of many soft quanta. In this work, their decay properties are studied in…

High Energy Physics - Theory · Physics 2015-06-19 Florian Kuhnel , Bo Sundborg

We introduce a new symmetry, Light-Cone Reflection (LCR), which interchanges timelike and spacelike intervals. Our motivation is to provide a reason, based on symmetry, why tachyons might exist, with emphasis on application to neutrinos. We…

High Energy Physics - Phenomenology · Physics 2022-09-20 Alan Chodos

We characterize several large cardinal notions by model-theoretic properties of extensions of first-order logic. We show that $\Pi_n$-strong cardinals, and, as a corollary, ``Ord is Woodin" and weak Vop\v{e}nka's Principle, are…

Logic · Mathematics 2025-05-22 Will Boney , Jonathan Osinski
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