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Given a computer model of a physical object, it is often quite difficult to visualize and quantify any global effects on the shape representation caused by local uncertainty and local errors in the data. This problem is further amplified…

Computational Geometry · Computer Science 2009-10-22 Chandrajit Bajaj , Andrew Gillette , Samrat Goswami , Bong June Kwon , Jose Rivera

A variational principle is applied to 4D Euclidean space provided with a tensor refractive index, defining what can be seen as 4-dimensional optics (4DO). The geometry of such space is analysed, making no physical assumptions of any kind.…

General Physics · Physics 2007-05-23 Jose B. Almeida

Theories based on General Relativity or Quantum Mechanics have taken a leading position in macroscopic and microscopic Physics, but fail when used in the other extremity. Thus, we try to establish a new structure of united theory based on…

General Physics · Physics 2014-04-14 Chang-kai Zhang

We systematically include central charges into supersymmetric quantum mechanics formulated on curved Euclidean spaces, and explain how the background geometry manifests itself on states of the theory. In particular, we show in detail how,…

High Energy Physics - Theory · Physics 2007-05-23 Michael Faux , David Kagan , Donald Spector

Einstein field equations show how matter curve spacetime, but, does curved spacetime creates matter? And if so, can we have geometrical foundations to every matter in the universe? In this note, we suggest an approach to derive non-general…

General Relativity and Quantum Cosmology · Physics 2019-05-24 Tomer Shushi

The smallness of the cosmological constant is one of the basic problems in particle physics and cosmology. Various attempts have been made to explain this mystery, but no satisfactory solution has been found yet. The appearance of extra…

High Energy Physics - Theory · Physics 2016-09-06 Hans Peter Nilles

We follow the point of view that superstring theory, as the theory of quantum gravity in the number of spacetime dimensions bigger than 4, serves as mathematics for both, 4 dimensional QG and exotic smoothness on open 4-manifolds.…

High Energy Physics - Theory · Physics 2012-05-15 Jerzy Król

A main issue in cosmology and astrophysics is whether the dark sector phenomenology originates from particle physics, then requiring the detection of new fundamental components, or it can be addressed by modifying General Relativity.…

General Relativity and Quantum Cosmology · Physics 2022-02-22 Salvatore Capozziello , Carlo Alberto Mantica , Luca Guido Molinari

Till now, the foundation of quantum physics is still mysterious. To explore the mysteries in the foundation of quantum physics, people always take it for granted that quantum processes must be some types of fields/objects on a rigid space.…

General Physics · Physics 2025-10-24 Su-Peng Kou

The essence of the method of physics is inseparably connected with the problem of interplay between local and global properties of the universe. In the present paper we discuss this interplay as it is present in three major departments of…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Jacques Demaret , Michael Heller , Dominique Lambert

We entertain the possibility that the phenomena typically attributed to dark matter may have a fundamentally emergent nature, rather than arising from new particle degrees of freedom. To illustrate this idea, we consider a field-theoretic…

High Energy Physics - Phenomenology · Physics 2025-11-13 Christian Canete , Archil Kobakhidze

Regge-Teitelboim embedding gravity is the modified gravity based on a simple string-inspired geometrical principle: our spacetime is considered here as a 4-dimensional surface in a flat bulk. This theory is similar to the recently popular…

General Relativity and Quantum Cosmology · Physics 2020-10-13 S. A. Paston

Theories of dark matter that support bound states are an intriguing possibility for the identity of the missing mass of the Universe. This article proposes a class of models of supersymmetric composite dark matter where the interactions…

High Energy Physics - Phenomenology · Physics 2011-09-08 Siavosh R. Behbahani , Martin Jankowiak , Tomas Rube , Jay G. Wacker

This paper develops a conditional framework for understanding the emergence of measurable physical structure from a pre-metric domain. Contemporary physics provides powerful and precise descriptions of relations among already-defined…

History and Philosophy of Physics · Physics 2026-04-20 Jonathon Sendall

The concept of concrete regularity structure gives the algebraic backbone of the operations involved in the local expansions used in the regularity structure approach to singular stochastic partial differential equations. The spaces and the…

Probability · Mathematics 2024-12-18 I. Bailleul , N. Moench

Over the last decades, observations with increasing quality have revolutionized our understanding of the general properties of the Universe. Questions posed for millenia by mankind about the origin, evolution and structure of the cosmos…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-22 Ricardo T. Génova-Santos

Large extra dimensions lower the Planck scale to values soon accessible. Motivated by String Theory, the models of large extra dimensions predict a vast number of new effects in the energy range of the lowered Planck scale, among them the…

High Energy Physics - Phenomenology · Physics 2014-11-18 Sabine Hossenfelder

The physics of a photonic structure is commonly described in terms of its apparent geometric dimensionality. On the other hand, with the concept of synthetic dimension, it is in fact possible to explore physics in a space with a…

Optics · Physics 2018-11-01 Luqi Yuan , Qian Lin , Meng Xiao , Shanhui Fan

Velocity-dependent interactions in a fundamental-string dominated universe lead quite naturally, with reasonable assumptions on initial conditions, to an accelerating expanding universe without assuming the existence of a cosmological…

Astrophysics · Physics 2009-11-07 Ramzi R. Khuri

A general concept of potential field is introduced. The potential field that one puts in correspondence with dark matter, has fundamental geometrical interpretation (parallel transport) and has intrinsically inherent in local symmetry. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ivanhoe Pestov