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Hadron structure from high-Q^2 gamma^* p scattering processes is often expressed in terms of hadronic matrix elements of nonlocal operators. Properly defining and interpreting these quantities is very important in light of experiments…

High Energy Physics - Phenomenology · Physics 2009-11-10 Daniel Boer

This paper provides a new model to compute the fractal dimension of a subset on a generalized-fractal space. Recall that fractal structures are a perfect place where a new definition of fractal dimension can be given, so we perform a…

Chaotic Dynamics · Physics 2010-07-23 M. A. Sánchez-Granero , Manuel Fernández-Martínez

First, let the fractal dimension D=n(integer)+d(decimal), so the fractal dimensional matrix was represented by a usual matrix adds a special decimal row (column). We researched that mathematics, for example, the fractal dimensional linear…

General Physics · Physics 2007-07-03 Yi-Fang Chang

A way to add an extra dimension is briefly discussed.

Classical Analysis and ODEs · Mathematics 2007-10-15 Stephen Semmes

In the last years there has been a growing interest in the understanding a vast variety of scale invariant and critical phenomena occurring in nature. Experiments and observations indeed suggest that many physical systems develop…

Astrophysics · Physics 2019-08-17 L. Pietronero , F. Sylos Labini , M. Montuori

Galaxy structures are certainly fractal up to a certain crossover scale \lambda_0. A clear determination of such a scale is still missing. Usually, the conceptual and practical implications of this property are neglected and the structures…

Astrophysics · Physics 2007-05-23 Luciano Pietronero , Francesco Sylos Labini

A reflexive relation on a set can be a starting point in defining the causal structure of a spacetime in General Relativity and other relativistic theories of gravity. If we identify this relation as the relation between lightlike separated…

General Relativity and Quantum Cosmology · Physics 2016-06-07 Ovidiu Cristinel Stoica

The study of physics at the Planck scale has garnered significant attention due to its implications for understanding the fundamental nature of the universe. At the Planck scale, quantum fluctuations challenge the classical notion of…

General Relativity and Quantum Cosmology · Physics 2024-11-26 Weihu Ma , Yu-Gang Ma

The principles of the physical description of non-inertial frames of reference are analyzed. The systems of physical reality description (PhRD) are introduced on base of generalization of the relativistic principle in special and general…

General Physics · Physics 2007-05-23 A. V. Novikov-Borodin

Recent experimental data on inclusive and exclusive lepton and hadron scattering off nuclei have renewed the interest in theoretical and experimental studies of Short Range Correlations (SRC), due to the relevant impact they may have not…

Nuclear Theory · Physics 2011-12-15 Chiara Benedetta Mezzetti

We investigate the question: what structures of numbers (as physical quantities) are suitable to be used in special relativity? The answer to this question depends strongly on the auxiliary assumptions we add to the basic assumptions of…

Mathematical Physics · Physics 2014-12-18 Madarász X. Judit , Gergely Székely

We study the formation of fractal structure in one-dimensional many-body systems with attractive power-law potentials. Numerical analysis shows that the range of the index of the power for which fractal structure emerges is limited.…

Pattern Formation and Solitons · Physics 2007-05-23 Hiroko Koyama , Tetsuro Konishi

Five fundamental scales of mass follow from holographic limitations, a self-similar law for angular momentum and the basic scaling laws for a fractal universe with dimension 2. The five scales correspond to the observable universe,…

General Physics · Physics 2008-05-29 Scott Funkhouser

The hadron spectroscopy is studied through the use of fractals and discrete scale invariance (DSI) implying log-periodic corrections to continuous scaling. The masses of mesons and baryons, reported by the Particle Data Group (PDG), agree…

Nuclear Experiment · Physics 2013-03-22 Boris Tatischeff

The duality between partonic and hadronic descriptions of physical phenomena is one of the most remarkable features of strong interaction physics. A classic example of this is in electron-nucleon scattering, in which low-energy cross…

High Energy Physics - Phenomenology · Physics 2014-11-18 W. Melnitchouk , R. Ent , C. Keppel

It is argued that important information on the emergence of space is hidden at the quark/hadron level. The arguments follow from the acceptance of the conception that space is an attribute of matter. They involve in particular the…

General Physics · Physics 2018-09-17 Piotr Zenczykowski

It is shown that, with some reasonable assumptions, the theory of general relativity can be made compatible with quantum mechanics by using the field equations of general relativity to construct a Robertson-Walker metric for a quantum…

High Energy Physics - Theory · Physics 2007-05-23 Vu B Ho

General Relativity in the noncommutative spacetime of ${\cal M}^4 \times Z_2 \times Z_2$ is constructed based on a new type of fermions in addition to the known chiral quark-leptons. While this theory has a finite physical spectrum, all the…

General Relativity and Quantum Cosmology · Physics 2015-12-14 Ai Viet Nguyen

There is a general agreement that galaxy structures exhibit fractal properties, at least up to some small scale. However the presence of an eventual crossover towards homogenization, as well as the exact value of the fractal dimension, are…

Astrophysics · Physics 2016-08-30 Francesco Sylos Labini

We introduce building blocks for the cluster hadronization model in light of a new structure, focusing on cluster fission and cluster decay. We propose theoretically motivated matrix elements for cluster fission and decay as building blocks…

High Energy Physics - Phenomenology · Physics 2025-05-21 Stefan Gieseke , Stefan Kiebacher , Simon Plätzer , Jan Priedigkeit