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A symmetry is a `change without change'. As simple as it sounds, this concept is the fundamental cornerstone that unifies all branches of theoretical physics. Virtually all physical laws -- ranging from classical mechanics and…

Molecular Networks · Quantitative Biology 2025-03-25 Hernan A. Makse , Paolo Boldi , Francesco Sorrentino , Ian Stewart

Mathematics and its relation to the physical universe have been the topic of speculation since the days of Pythagoras. Several different views of the nature of mathematics have been considered: Realism - mathematics exists and is…

History and Philosophy of Physics · Physics 2012-12-27 Alex Harvey

A general, incomplete and partisan overview of various areas of the theoretical investigation is presented. Most of this activity stems from the search for physics beyond quantum field theory and general relativity, a titanic struggle that,…

High Energy Physics - Theory · Physics 2011-02-28 Alfredo Iorio

The concept of (global) gauge symmetry breaking plays an important role in many areas of physics. Since the corresponding symmetry is a gauge symmetry, its breaking is actually gauge-dependent. Thus, it is possible to design gauges which…

High Energy Physics - Theory · Physics 2012-11-27 Axel Maas

In standard quantum theory, symmetry is defined in the spirit of Klein's Erlangen Program: the background space has a symmetry group, and the basic operators should commute according to the Lie algebra of that group. We argue that the…

General Physics · Physics 2020-03-30 Felix M. Lev

Evolution and geometry generate complexity in similar ways. Evolution drives natural selection while geometry may capture the logic of this selection and express it visually, in terms of specific generic properties representing some kind of…

Neurons and Cognition · Quantitative Biology 2018-09-05 Birgitta Dresp-Langley

I discuss gauge and global symmetries in particle physics, condensed matter physics, and quantum gravity. In a modern understanding, global symmetries are approximate and gauge symmetries may be emergent. (Based on a lecture at the April,…

High Energy Physics - Theory · Physics 2018-03-14 Edward Witten

Symmetry is a common feature of many combinatorial problems. Unfortunately eliminating all symmetry from a problem is often computationally intractable. This paper argues that recent parameterized complexity results provide insight into…

Artificial Intelligence · Computer Science 2015-05-19 Toby Walsh

Symmetry plays a crucial role in understanding the properties of mathematical structures and optimization problems. Recent work has explored this phenomenon in the context of neural networks, where the loss function is invariant under…

Machine Learning · Computer Science 2025-06-04 Irmi Schneider

A model for a subject's beliefs about a phenomenon may exhibit symmetry, in the sense that it is invariant under certain transformations. On the other hand, such a belief model may be intended to represent that the subject believes or knows…

Statistics Theory · Mathematics 2008-01-15 Gert de Cooman , Enrique Miranda

We consider games in which players search for a hidden prize, and they have asymmetric information about the prize location. We study the social payoff in equilibria of these games. We present sufficient conditions for the existence of an…

Theoretical Economics · Economics 2022-04-19 Gilad Bavly , Yuval Heller , Amnon Schreiber

Firm foundation theory estimates a security's firm fundamental value based on four determinants: expected growth rate, expected dividend payout, the market interest rate and the degree of risk. In contrast, other views of decision-making in…

Statistical Mechanics · Physics 2009-10-31 D. Sornette

There are two very important subjects in physics: Symmetry of dynamical models and nonlinearity. All really fundamental models are invariant under some particular symmetry groups. There is also no true physics, no our Universe and life at…

General Physics · Physics 2010-10-19 Jan Jerzy Sławianowski

The purpose of this article is to propose a new "theory," the Strategic Analysis of Financial Markets (SAFM) theory, that explains the operation of financial markets using the analytical perspective of an enlightened gambler. The gambler…

Econometrics · Economics 2018-01-09 Steven D. Moffitt

A critical review is presented on the most recent attempt to generally explain the notion of "statistical symmetry". This particular explanation, however, is incomplete and misses one important and essential aspect. The aim of this short…

Fluid Dynamics · Physics 2016-02-29 Michael Frewer , George Khujadze , Holger Foysi

A glorious achievement of twentieth century Physics is the identification of the building blocks of nature. A related triumph a deep understanding of the forces of interaction. In particular, it has been possible to understand the four…

History and Philosophy of Physics · Physics 2007-05-23 U. A. Yajnik

Statistical physics has proven to be a very fruitful framework to describe phenomena outside the realm of traditional physics. The last years have witnessed the attempt by physicists to study collective phenomena emerging from the…

Physics and Society · Physics 2009-05-11 Claudio Castellano , Santo Fortunato , Vittorio Loreto

In the first part of the talk, I give a low-resolution overview of the current state of particle physics - the triumph of the Standard Model and its discontents. I review and re-endorse the remarkably direct and (to me) compelling argument…

High Energy Physics - Phenomenology · Physics 2011-04-20 Frank Wilczek

Examples are presented for appearance of geometric symmetry in the shape of various astronomical objects and phenomena. Usage of these symmetries in astrophysical and extragalactic research is also discussed.

Popular Physics · Physics 2022-01-14 László Szabados

This paper discusses serious drawbacks of existing knowledge in macroeconomics and finance in explaining and predicting economic and financial phenomena. Complexity science is proposed as an alternative approach to be used in order to…

General Economics · Economics 2022-01-03 Thitithep Sitthiyot