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We show that some mathematical results and their negations are both deducible. The derived contradictions indicate the inconsistency of current mathematics. This paper is an updated version of arXiv:math/0606635v3 with additional results…

General Mathematics · Mathematics 2007-08-15 Guang-Liang Li , Victor O. K. Li

In light of recent experimental proposals to measure the free fall acceleration of antihydrogen in the earth's gravitational field, we investigate the bounds that existing experiments place on any asymmetry between the free fall of matter…

High Energy Physics - Phenomenology · Physics 2009-07-24 Daniele S. M. Alves , Martin Jankowiak , Prashant Saraswat

In this paper, we give a simple proof for the small cancellation conditions of the upper presentations of 2-bridge link groups, which holds the key to the proof of the main result of [1]. We also give an alternative proof of the main result…

Group Theory · Mathematics 2012-04-20 Daewa Kim , Donghi Lee

We prove the Burghelea Conjecture for groups satisfying some additional cohomological property.

K-Theory and Homology · Mathematics 2017-03-23 Alexander Dranishnikov

First-principle modeling of dense hydrogen is crucial in materials and planetary sciences. Despite its apparent simplicity, predicting the ionic and electronic structure of hydrogen is a formidable challenge, and it is connected with the…

Earth and Planetary Astrophysics · Physics 2026-05-20 Cesare Cozza , Kousuke Nakano , Saburo Howard , Hao Xie , Ravit Helled , Guglielmo Mazzola

Error in proof of theorem 10.

Combinatorics · Mathematics 2007-05-23 Lorenz Friess

This paper suffers from conceptual difficulties and unjustified approximations that render its conclusions dubious.

Nuclear Theory · Physics 2008-11-26 B. Davids , A. Gruzinov , B. K. Jennings

Theoretical difficulties in reconciling the measured rates for ordinary and radiative muon capture are discussed, based on heavy-baryon chiral perturbation theory. We also examine ambiguity in our analysis due to the formation of p$\mu$p…

Nuclear Theory · Physics 2014-11-18 S. Ando , F. Myhrer , K. Kubodera

Several recent results bring into focus the superintuitionistic nature of most notions of proof-theoretic validity, but little work has been done evaluating the consequences of these results. Proof-theoretic validity claims to offer a…

Logic · Mathematics 2023-05-17 Will Stafford

The possible superfluid transition of supercooled liquid parahydrogen is investigated by quantum Monte Carlo simulations. The cooling protocol adopted here allows for the investigation of a fluid phase down to a temperature T=0.25 K. No…

Statistical Mechanics · Physics 2018-03-07 Massimo Boninsegni

Hydrogen is key in reducing greenhouse gas emissions in materials production. At the same time, it significantly affects mechanical properties, often causing unwanted embrittlement. However, rather than solely addressing these…

Existence of strongly bound water molecules on silicate surfaces, above the desorption temperature of water ice, has been first predicted by computational studies and recently demonstrated by laboratory experiments. Such trapped water may…

Astrophysics of Galaxies · Physics 2024-02-22 Alexey Potapov , Cornelia Jäger , Harald Mutschke , Thomas Henning

Moisture-capturing hydrogels have emerged as attractive sorbent materials capable of converting ambient humidity into liquid water. Recent works have demonstrated exceptional water capture capabilities of hydrogels, while simultaneously,…

Soft Condensed Matter · Physics 2023-11-03 Gustav Graeber , Carlos D. Díaz-Marín , Leon C. Gaugler

To increase the storage time of ultracold neutrons (UCN) inside the material traps it is promising to cover the trap walls by liquid 4He, the material which does not absorb neutrons at all. A rough side wall of UCN trap holds the required…

Instrumentation and Detectors · Physics 2023-08-30 Pavel D. Grigoriev , Arseniy V. Sadovnikov , Vladislav D. Kochev , Alexander M. Dyugaev

This article has been withdrawn due to an error in a proof of the main result.

Algebraic Topology · Mathematics 2011-04-15 Mark Grant

We respond to a Comment [arXiv:1407.6854 (2014)] on our recent Nature paper [Nature, 510, 385 (2014)]. We categorically disprove the arguments provided in arXiv:1407.6854 (2014) and thereby further substantiate the evidence we presented in…

Statistical Mechanics · Physics 2014-07-31 Jeremy C. Palmer , Pablo G. Debenedetti , Roberto Car , Athanassios Z. Panagiotopoulos

The hydrogen isotopic (D/H) ratio reflects the global cycling and evolution of water on Earth as it fractionates through planetary processes. We model the water cycle taking seafloor hydrothermal alteration, chemical alteration of…

Earth and Planetary Astrophysics · Physics 2018-07-18 Hiroyuki Kurokawa , Julien Foriel , Matthieu Laneuville , Christine Houser , Tomohiro Usui

The AEgIS collaboration is underway to directly measure the gravitational free-fall of neutral antimatter atoms. The experiment recently succeded in producing a pulsed cold antihydrogen source for the first time, and has now entered into…

High Energy Physics - Phenomenology · Physics 2023-01-18 Benjamin Rienäcker

We do not know whether the main result is true, the proof of theorem 2.1 contains a gap.

Geometric Topology · Mathematics 2020-04-28 Z. Jelonek , H. Zołądek

The topological gap protocol (TGP) is a statistical test designed to identify a topological phase with high confidence and without human bias. It is used to determine a promising parameter regime for operating topological qubits. The…

Mesoscale and Nanoscale Physics · Physics 2025-04-21 Morteza Aghaee , Zulfi Alam , Mariusz Andrzejczuk , Andrey E. Antipov , Mikhail Astafev , Amin Barzegar , Bela Bauer , Jonathan Becker , Umesh Kumar Bhaskar , Alex Bocharov , Srini Boddapati , David Bohn , Jouri Bommer , Leo Bourdet , Samuel Boutin , Benjamin J. Chapman , Sohail Chatoor , Anna Wulff Christensen , Patrick Codd , William S. Cole , Paul Cooper , Fabiano Corsetti , Ajuan Cui , Andreas Ekefjärd , Saeed Fallahi , Luca Galletti , Geoff Gardner , Deshan Govender , Flavio Griggio , Ruben Grigoryan , Sebastian Grijalva , Sergei Gronin , Jan Gukelberger , Marzie Hamdast , Esben Bork Hansen , Sebastian Heedt , Samantha Ho , Laurens Holgaard , Kevin Van Hoogdalem , Jinnapat Indrapiromkul , Henrik Ingerslev , Lovro Ivancevic , Thomas Jensen , Jaspreet Jhoja , Jeffrey Jones , Konstantin V. Kalashnikov , Ray Kallaher , Rachpon Kalra , Farhad Karimi , Torsten Karzig , Maren Elisabeth Kloster , Christina Knapp , Jonne Koski , Pasi Kostamo , Tom Laeven , Gijs de Lange , Thorvald Larsen , Jason Lee , Kyunghoon Lee , Grant Leum , Kongyi Li , Tyler Lindemann , Matthew Looij , Marijn Lucas , Roman Lutchyn , Morten Hannibal Madsen , Nash Madulid , Michael Manfra , Signe Brynold Markussen , Esteban Martinez , Marco Mattila , Robert McNeil , Ryan V. Mishmash , Gopakumar Mohandas , Christian Mollgaard , Michiel de Moor , Trevor Morgan , George Moussa , Chetan Nayak , William Hvidtfelt Padkær Nielsen , Jens Hedegaard Nielsen , Mike Nystrom , Eoin O'Farrell , Keita Otani , Karl Petersson , Luca Petit , Dima Pikulin , Mohana Rajpalke , Alejandro Alcaraz Ramirez , Katrine Rasmussen , David Razmadze , Yuan Ren , Ken Reneris , Ivan A. Sadovskyy , Lauri Sainiemi , Juan Carlos Estrada Saldaña , Irene Sanlorenzo , Emma Schmidgall , Cristina Sfiligoj , Sarat Sinha , Thomas Soerensen , Patrick Sohr , Tomaš Stankevič , Lieuwe Stek , Eric Stuppard , Henri Suominen , Judith Suter , Sam Teicher , Nivetha Thiyagarajah , Raj Tholapi , Mason Thomas , Emily Toomey , Josh Tracy , Michelle Turley , Shivendra Upadhyay , Ivan Urban , Dmitrii V. Viazmitinov , Dominik Vogel , John Watson , Alex Webster , Joseph Weston , Georg W. Winkler , David J. Van Woerkom , Brian Paquelet Wütz , Chung Kai Yang , Emrah Yucelen , Jesús Herranz Zamorano , Roland Zeisel , Guoji Zheng , Justin Zilke