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In this paper I argue for a reassessment of special relativity. The fundamental theory of relativity applicable in this Universe has to be consistent with the existence of the massive Universe, and with the effects of its gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. S. Unnikrishnan

This paper treats the problem of the merging of formations, where the underlying model of a formation is graphical. We first analyze the rigidity and persistence of meta-formations, which are formations obtained by connecting several rigid…

Multiagent Systems · Computer Science 2007-10-16 Julien M. Hendrickx , Changbin Yu , Baris Fidan , Brian D. O. Anderson

Classical, Quantum, Relativistic and Statistical: the four branches of mechanics. However, the Quattro Donna of Physics disagree even about the entities that are supposed to be fundamental, such as space, matter and time. In order to search…

General Physics · Physics 2007-05-23 Roberto Assumpcao

Frauchiger and Renner recently cast doubt on the universal applicability of Quantum Mechanics [1]. In the following, it is pointed out that their conclusion of one of three common-sense conditions, demanded for Quantum Mechanics, being…

General Physics · Physics 2020-04-23 Knud Thomsen

In this paper of "The Epistemology of Contemporary Physics" series we investigate Newton's third law and discuss and analyze its epistemological significance from some aspects with special attention to its relation to the principle of…

Popular Physics · Physics 2024-11-18 Taha Sochi

This paper challenges some of the common assumptions underlying the mathematics used to describe the physical world. We start by reviewing many of the assumptions underlying the concepts of real, physical, rigid bodies and the translational…

Mathematical Physics · Physics 2010-05-06 Philip H. Butler , Niels G. Gresnigt , Peter F. Renaud

It was generally believed throughout the 20-th century that irreversibility is a purely classical event without operator counterpart. However, a classical irreversible system cannot be consistently decomposed into a finite number of…

General Physics · Physics 2009-11-11 Ruggero Maria Santilli

We give a partial review of what is known so far on stability of periodically driven quantum systems versus regularity of the bounded driven force. In particular we emphasize the fact that unbounded degeneracies of the unperturbed…

Mathematical Physics · Physics 2007-05-23 P. Duclos , O. Lev , P. Stovicek , M. Vittot

The fundamental time-reversal invariance of dynamical systems can be broken in various ways. One way is based on the presence of resonances and their interactions giving rise to unstable dynamical systems, leading to well-defined time…

Quantum Physics · Physics 2009-11-11 Robert C. Bishop

When tetrad (metric) fields are not invertible, the standard canonical formulation of gravity cannot be adopted as it is. Here we develop a Hamiltonian theory of gravity for non-invertible tetrad. In contrast to Einstein gravity, this phase…

General Relativity and Quantum Cosmology · Physics 2023-12-13 Sandipan Sengupta

Relational mechanics is a reformulation of mechanics (classical or quantum) for which space is relational. This means that the configuration of an $N$-particle system is a shape, which is what remains when the effects of rotations,…

Quantum Physics · Physics 2021-11-19 Sheldon Goldstein , Nino Zanghi

This is a systematic review of the concept of indistinguishability in both classical and quantum mechanics, with particular attention to Gibbs' paradox. Section 1 is on the Gibbs paradox; section 2 is a defense of the concept of classical…

History and Philosophy of Physics · Physics 2016-09-20 Simon Saunders

The social and economic importance of large bodies of programs and data that are potentially long-lived has attracted much attention in the commercial and research communities. Here we concentrate on a set of methodologies and technologies…

Programming Languages · Computer Science 2010-06-18 Alan Dearle , Graham Kirby , Ron Morrison

The traditional metaphysical debate between static and dynamic views in the philosophy of time is examined in light of considerations concerning the nature of time in physical theory. Adapting the formalism of Rovelli (1995, 2004), I set…

History and Philosophy of Physics · Physics 2012-03-22 Peter W. Evans

In this paper, we introduce the persistence transformation, a novel methodology in Topological Data Analysis (TDA) for applications in time series data which can be obtained in various areas such as science, politics, economy, healthcare,…

Algebraic Topology · Mathematics 2024-01-31 Gideon Klaila , Anastasios Stefanou , Lena Ranke

This paper forms part of a wider campaign: to deny pointillisme. That is the doctrine that a physical theory's fundamental quantities are defined at points of space or of spacetime, and represent intrinsic properties of such points or…

Classical Physics · Physics 2007-05-23 Jeremy Butterfield

Within the framework of Lagrangian mechanics, the conservativeness of the hydrostatic forces acting on a floating rigid body is proved. The representation of the associated hydrostatic potential is explicitly worked out. The invariance of…

Mathematical Physics · Physics 2018-03-08 Enrico Massa , Stefano Vignolo

The now classical replicator equation describes a wide variety of biological phenomena, including those in theoretical genetics, evolutionary game theory, or in the theories of the origin of life. Among other questions, the permanence of…

Populations and Evolution · Quantitative Biology 2016-03-21 Alexander S. Bratus , Vladimir P. Posvyanskii , Artem S. Novozhilov

We give general arguments that any interacting non--conformal {\it classical} field theory in de Sitter space leads to the possibility of constructing a perpetuum mobile. The arguments are based on the observation that massive free falling…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Emil T. Akhmedov , P. V. Buividovich , Douglas A. Singleton

The equations of motion describing all physical systems, except gravity, remain invariant if a constant is added to the Lagrangian. In the conventional approach, gravitational theories break this symmetry exhibited by all other physical…

General Relativity and Quantum Cosmology · Physics 2015-12-22 T. Padmanabhan