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We survey the classical results on the prime number theorem

Number Theory · Mathematics 2007-05-23 Yong-Cheol Kim

This is the first expression of my thoughts and my experiments with Nature about the mathematical description of the Universe. The theories about our surrounding Nature became popular from our ancient civilizations and may be from the…

General Physics · Physics 2021-08-31 Surendra Mund

We upgrade [1] to a complete proof of the conjecture NP = PSPACE. [1]: L. Gordeev, E. H. Haeusler, Proof Compression and NP Versus PSPACE, Studia Logica (107) (1): 55-83 (2019)

Logic in Computer Science · Computer Science 2022-01-11 Lev Gordeev

First, we present a history of the school of thought that the Cosmic Microwave Background Radiation acts as an ether in contemporary popular English. Then we illustrate the properties of this ether and of a hypothetical "test mass" using a…

General Physics · Physics 2017-07-18 Gift Jesubalan , Uzumaki Ashura

Discussion of ``EQUI-energy sampler'' by Kou, Zhou and Wong [math.ST/0507080]

Statistics Theory · Mathematics 2007-06-13 Ying Nian Wu , Song-Chun Zhu

Discussion of ``EQUI-energy sampler'' by Kou, Zhou and Wong [math.ST/0507080]

Statistics Theory · Mathematics 2007-06-13 Ming-Hui Chen , Sungduk Kim

The first papers on neutrino oscillations are shortly reviewed.

High Energy Physics - Phenomenology · Physics 2007-05-23 S. M. Bilenky

The properties of the W boson are reviewed. Particular emphasis is placed on recent measurements from the LEP2 and Tevatron experiments.

High Energy Physics - Experiment · Physics 2009-09-25 Lucas Taylor

Proposed is system of consistent mathematical models describing physical laws of a system of energy emitting bodies in dynamics, relativity and nuclear physics. It is shown the use of developed models for the description of systems,…

Dynamical Systems · Mathematics 2008-01-28 V. O. Groppen

This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.

Logic · Mathematics 2011-12-20 Martin Goldstern , Jakob Kellner , Saharon Shelah , Wolfgang Wohofsky

We reanalyze from a modern perspective the bold idea of G. Helm, W. Ostwald, P. Duhem and others that energy is the fundamental entity composing the physical world. We start from a broad perspective reminding the search for a fundamental…

History and Philosophy of Physics · Physics 2025-06-17 J. E. Horvath , B. B. Martins

Even though the concept has evolved and if the designation as aether is improperly regarded as outdated, nobody today considers that the vacuum is empty. However, the nature and the properties of the substratum, which permeates the entire…

General Physics · Physics 2013-12-18 Joseph Levy

This reply addresses concerns expressed in a comment (arXiv:2508.16689v1) on arXiv:submit/6841332 [physics.gen-ph] 29 Sep 2025 the paper given in the title (arXiv:2501.02022v2), hereafter referred to as the paper.

General Physics · Physics 2025-10-01 Peter J Mohr

We demonstrate that criticisms concerning our work nucl-th/9704043, made in the recent preprint hep-ph/9903352, are unfounded. The improvements over our results claimed in hep-ph/9903352 are in fact spurious, being based mainly on…

Nuclear Theory · Physics 2009-10-31 I. B. Khriplovich , R. A. Sen'kov

Naturalness is an extra-empirical quality that aims to assess plausibility of a theory. Finetuning measures are often deputized to quantify the task. However, knowing statistical distributions on parameters appears necessary. Such…

History and Philosophy of Physics · Physics 2018-11-14 James D. Wells

These are the commentaries for a volume of reprints of my selected papers with commentaries that I am preparing for publication by World Scientific. Contents: Preface; (1)Early Years, and Condensed Matter Physics; (2) High Energy Neutrino…

High Energy Physics - Phenomenology · Physics 2016-11-23 Stephen L. Adler

The QCD treatment of the photon structure is recalled. Emphasis is given to the recently derived momentum sum rule, and to the proper choice of the factorization scheme and/or boundary conditions for the evolution equations beyond the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andreas Vogt

The subject of lepton-hadron scattering is discussed from its earliest beginnings, concentrating on what we have learnt from the HERA electron-proton storage ring. A brief selection of the HERA I results most relevant to LHC are discussed.…

High Energy Physics - Experiment · Physics 2008-11-26 B. Foster

Two-imcompressible phase model of star is briefly revised. Effects of rotation and general relativity are considered.

Astrophysics · Physics 2007-05-23 Zakir F. Seidov