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Most empirical studies of networks assume that the network data we are given represent a complete and accurate picture of the nodes and edges in the system of interest, but in real-world situations this is rarely the case. More often the…

社会与信息网络 · 计算机科学 2019-01-02 M. E. J. Newman

We study the formation and evolution of an interconnected string network in large-scale field-theory numerical simulations, both in flat spacetime and in expanding universe. The network consists of gauge U(1) strings of two different kinds…

高能物理 - 理论 · 物理学 2008-11-26 Jon Urrestilla , Alexander Vilenkin

The first version of this paper gave another proof of the Kropholler Conjecture, which gives a relative version of Stallings Ends Theorem, following an earlier incorrect proof. It has been pointed out by Sam Shepherd that the the second…

群论 · 数学 2023-11-27 M. J. Dunwoody

We supplement the string field theory action with boundary terms to make its variational principle well-posed. Central to our considerations is the violation of the stress-energy tensor conservation in non-compact CFTs due to the boundary…

高能物理 - 理论 · 物理学 2025-02-13 Atakan Hilmi Fırat , Raji Ashenafi Mamade

String theory has not even come close to a complete formulation after half a century of intense research. On the other hand, a number of features of the theory suggest that the theory, once completed, may be a final theory. It is argued in…

物理学史与哲学 · 物理学 2018-12-19 Richard Dawid

We prove a conjecture of Roe by constructing unified warped cones that violate the coarse Baum-Connes conjecture. Interestingly, the reason for this is probably not what Roe expected, as the obstruction arises in odd rather than even…

K理论与同调 · 数学 2025-05-23 Christos Kitsios , Thomas Schick , Federico Vigolo

If string theory is correct, then our observable Universe may be a 3-dimensional "brane" embedded in a higher-dimensional spacetime. This theoretical scenario should be tested via the state-of-the-art in gravitational experiments -- the…

天体物理学 · 物理学 2014-10-13 Chris Clarkson , Roy Maartens

This talk considers possible lessons of string theory for low energy physics. These are of two types. First, assuming that string theory is the correct underlying theory of all interactions, we ask whether there are any generic predictions…

高能物理 - 理论 · 物理学 2009-10-22 Michael Dine

It is shown that a recently proposed relativistic field theory of anyons is mathematically flawed and also does not satisfy reasonable criteria for such a theory.

高能物理 - 理论 · 物理学 2009-10-22 C. R. Hagen

The article proposes a new technique for proving the undefinability of logical connectives through each other and illustrates the technique with several examples. Some of the obtained results are new proofs of the existing theorems, others…

人工智能 · 计算机科学 2023-07-04 Sophia Knight , Pavel Naumov , Qi Shi , Vigasan Suntharraj

A new set of boundary conditions for string propagators is proposed in this paper. The boundary conditions are parametrized by a complex number $\lambda$. Under these new boundary conditions, the left-moving and right-moving modes are…

高能物理 - 理论 · 物理学 2021-09-29 Matheus Loss Lize , Bochen Lyu , Warren Siegel , Yu-Ping Wang

A proof of Sendov's conjecture is given.

复变函数 · 数学 2007-05-23 Gerald Schmieder

We have simulated large-amplitude standing waves on an Abelian-Higgs cosmic string in classical lattice field theory. The radiation rate falls exponentially with wavelength, as one would expect from the field profile around a gauge string.…

天体物理学 · 物理学 2009-10-31 Ken D. Olum , J. J. Blanco-Pillado

We consider, in a string theory framework, physical processes of phenomenological interest in models with a low string scale. The amplitudes we study involve tree-level virtual gravitational exchange, divergent in a field-theoretical…

高能物理 - 理论 · 物理学 2011-07-19 E. Dudas , J. Mourad

We continue the work of [4, 2, 3], in which we discuss published assertions that are incorrect or incorrectly proven; that are severely limited or reduce to triviality; or that we improve upon.

几何拓扑 · 数学 2020-01-31 Laurence Boxer

We argue that the behavior of string theory at high temperature and high longitudinal boosts, combined with the emergence of p-branes as necessary ingredients in various string dualities, point to a possible reformulation of strings, as…

高能物理 - 理论 · 物理学 2007-05-23 Oren Bergman

A complete proof is given of relative interpretability of Adjunctive Set Theory with Extensionality in an elementary concatenation theory.

逻辑 · 数学 2017-01-27 Zlatan Damnjanovic

We present a new tool for relating theory and experiment suited for non-Gaussian theories: non-Gaussian spectra. It does for non-Gaussian theories what the angular power spectrum $C_\ell$ does for Gaussian theories. We then show how…

天体物理学 · 物理学 2007-05-23 Joao Magueijo , Alex Lewin

We review a bit our earlier novel string field theory\cite{self2,self8} stressing the interesting property, that it becomes expressed in terms of particle like objects called by us "objects" which in our formalism do not at all develop in…

高能物理 - 理论 · 物理学 2020-11-11 Holger Bech Nielsen , Masao Ninomiya

Using a classical action associated to a point-particle in (1+1)-dimensions the classical string theory is derived. In connection with this result two aspects are clarified: First, the point particle in (1+1)-dimensions is not an ordinary…

广义相对论与量子宇宙学 · 物理学 2015-06-25 J. A. Nieto