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We propose a constructive interpretation of truth which resolves the standard semantic paradoxes.

Logic · Mathematics 2010-04-14 Nik Weaver

Arising out of an attempt at a new foundations of mathematics, in which relations are more primitive than sets, and out of the theoretical physicists' concept of underlying causes of empirical phenomena, the idea of a purely mathematical…

History and Philosophy of Physics · Physics 2011-11-22 Helier Robinson

After a brief review of current scenarios for the resolution and/or avoidance of the Big Bang, an alternative hypothesis is put forward implying an infinite increase in complexity towards the initial singularity. This may result in an…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Hermann Nicolai

What are the important unanswered questions in cosmology? The choice as to which are the most important is somewhat personal. In the view of the author, the ten topics chosen here for discussion must be included among the most fundamental.…

Astrophysics · Physics 2007-05-23 Reuven Opher

Is the universe finite or infinite, and what shape does it have? These fundamental questions, of which relatively little is known, are typically studied within the context of the standard model of cosmology where the universe is assumed to…

General Relativity and Quantum Cosmology · Physics 2022-06-02 Gregory J. Galloway , Marcus A. Khuri , Eric Woolgar

An introductory account is given of the modern understanding of the physics of the early Universe. Particular emphasis is placed on the paradigm of cosmological inflation, which postulates a period of accelerated expansion during the…

Astrophysics · Physics 2008-02-03 Andrew R Liddle

Brane cosmology presents many interesting possibilities including: phantom acceleration (w<-1), self-acceleration, unification of dark energy with inflation, transient acceleration, loitering cosmology, new singularities at which the Hubble…

Astrophysics · Physics 2008-11-25 Varun Sahni , Yuri Shtanov

We connect a possible solution for the ``cosmological constant problem'' to the existence of a (postulated) conformal fixed point in a fundamental theory. The resulting cosmology leads to quintessence, where the present acceleration of the…

High Energy Physics - Theory · Physics 2009-11-07 C. Wetterich

Although cosmology is usually considered an observational science, where there is little or no space for experimentation, other approaches can (and have been) also considered. In particular, we can change rather drastically the above, more…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Stefano Ansoldi , Eduardo I. Guendelman

We overview our recent studies of cosmological models with expansion and global rotation. Problems of the early rotating models are discussed, and the class of new viable cosmologies is described in detail. Particular attention is paid to…

General Relativity and Quantum Cosmology · Physics 2016-10-26 V. A. Korotky , Yu. N. Obukhov

Problems with uniform probabilities on an infinite support show up in contemporary cosmology. This paper focuses on the context of inflation theory, where it complicates the assignment of a probability measure over pocket universes. The…

History and Philosophy of Physics · Physics 2023-09-11 Sylvia Wenmackers

This paper deals with the philosophical issues of the notion of nothingness and pre-inflationary stage of the universe in physical cosmology. We presuppose that, in addition to cosmological limits, there may be both anthropic and…

History and Philosophy of Physics · Physics 2020-06-19 Kristina Šekrst

A cosmological version of the holographic principle is proposed. Various consequences are discussed including bounds on equation of state and the requirement that the universe be infinite.

High Energy Physics - Theory · Physics 2007-05-23 W. Fischler , L. Susskind

I motivate and discuss some recent work on theories with varying constants, and consider some possible observational consequences and tests. Particular emphasis is given to models which can (almost) exactly mimic the predictions of standard…

Astrophysics · Physics 2017-08-23 C. J. A. P. Martins

Questions such as whether we live in a spatially finite universe, and what its shape and size may be, are among the fundamental open problems that high precision modern cosmology needs to resolve. These questions go beyond the scope of…

Astrophysics · Physics 2007-05-23 M. J. Reboucas , G. I. Gomero

Observational evidence indicating that the expansion of the universe is accelerating has surprised cosmologists in recent years. Cosmological models have sought to explain this acceleration by incorporating `dark energy', of which the…

Astrophysics · Physics 2010-03-26 Luke Barnes , Matthew J. Francis , Geraint F. Lewis , Eric V. Linder

The idea of possible time or space variations of the `fundamental' constants of nature, although not new, is only now beginning to be actively considered by large numbers of researchers in the particle physics, cosmology and astrophysics…

Astrophysics · Physics 2009-11-07 C. J. A. P. Martins

An introductory account is given of the inflationary cosmology, which postulates a period of accelerated expansion during the Universe's earliest stages. The historical motivation is briefly outlined, and the modelling of the inflationary…

Astrophysics · Physics 2007-05-23 Andrew R Liddle

Quantum mechanics (QM) has attracted a considerable amount of mysticism, in public opinion and even among academic researches, due to some of its conceptually puzzling features, such as the modification of reality by the observer and…

History and Philosophy of Physics · Physics 2011-12-01 Giorgio Torrieri

I will review some results of observational cosmology which critically cast doubt upon the foundations of the standard cosmology: 1) The redshifts of the galaxies are due to the expansion of the Universe; 2) The cosmic microwave background…

Astrophysics · Physics 2007-05-23 Martin Lopez-Corredoira