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Perhaps one of the most intriguing questions in philosophy concerns the true nature of external reality. In this paper, we discuss some of the theories that have been put forth regarding the nature of reality and of our perceived universe.…

General Mathematics · Mathematics 2007-05-23 Ashwin Vaidya , Bong-Jae Chung

This paper explores the idea that the universe is a virtual reality created by information processing, and relates this strange idea to the findings of modern physics about the physical world. The virtual reality concept is familiar to us…

Other Computer Science · Computer Science 2008-01-05 Brian Whitworth

Understanding, finding, or even deciding on the existence of real solutions to a system of equations is a very difficult problem with many applications. While it is hopeless to expect much in general, we know a surprising amount about these…

Algebraic Geometry · Mathematics 2011-04-28 Frank Sottile

An approach to modelling the universe based on the requisites of gravitational energy. This model is explained as it relates to the stages of the universal life cycle and the continued existence of the universe as it is known today. The…

Astrophysics · Physics 2007-05-23 Anthony Baldocchi

It is proposed that the physical universe is an instance of a mathematical structure which possesses a dual structure, and that this dual structure is the collection of all possible knowledge of the physical universe. In turn, the physical…

General Physics · Physics 2008-05-26 Gordon McCabe

Here we propose a model of particles and fields based on the mathematical framework of quantum physics. Our model is an interpretation of quantum physics that treats particles and fields as physically real. We analyze four experiments on…

Quantum Physics · Physics 2013-05-28 Eduardo V. Flores

Analysing several characteristic mathematical models: natural and real numbers, Euclidean geometry, group theory, and set theory, I argue that a mathematical model in its final form is a junction of a set of axioms and an internal partial…

History and Overview · Mathematics 2025-03-18 Boris Čulina

Quantum states are the key mathematical objects in quantum theory. It is therefore surprising that physicists have been unable to agree on what a quantum state truly represents. One possibility is that a pure quantum state corresponds…

Quantum Physics · Physics 2015-03-31 Matthew F. Pusey , Jonathan Barrett , Terry Rudolph

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

Some unique source -- the world, W -- must underlie all the information realized in the universe throughout time. Perceived reality, R, is a progressively emerging representation of W in the form of the geometrical universe. Time…

General Physics · Physics 2009-03-11 Martin A. Green

Disputes on the foundations of Quantum Mechanics often involve the conception of reality, without a clear definition on which aspect of this broad concept of reality one refers. We provide an overview of conceptions of reality in classical…

Quantum Physics · Physics 2017-08-08 Gerd Christian Krizek

Ever since its foundations were laid nearly a century ago, quantum theory has provoked questions about the very nature of reality. We address these questions by considering the universe, and the multiverse, fundamentally as complex…

General Physics · Physics 2021-04-13 Alan McKenzie

The world appears to be well described by gauge theories; why? I suggest that gauge is more than mathematical redundancy. Gauge-dependent quantities can not be predicted, but there is a sense in which they can be measured. They describe…

High Energy Physics - Theory · Physics 2016-07-06 Carlo Rovelli

Some contemporary views of the universe assume information and computation to be key in understanding and explaining the basic structure underpinning physical reality. We introduce the Computable Universe exploring some of the basic…

Information Theory · Computer Science 2012-06-05 Hector Zenil

The world is four-dimensional according to fundamental physics, governed by basic laws that operate in a spacetime that has no unique division into space and time. Yet our subjective experience is divided into present, past, and future.…

General Relativity and Quantum Cosmology · Physics 2009-11-10 James B. Hartle

The mathematical universe discussed here gives models of possible structures our physical universe can have.

General Mathematics · Mathematics 2007-05-23 Kannan Nambiar

Realism -- the idea that the concepts in physical theories refer to 'things' existing in the real world -- is introduced as a tool to analyze the status of the wave-function. Although the physical entities are recognized by the existence of…

Quantum Physics · Physics 2009-11-07 A. Matzkin

Modern mathematics is known for its rigorous proofs and tight analysis. Math is the paradigm of objectivity for most. We identify the source of that objectivity as our knowledge of the physical world given through our senses. We show in…

History and Overview · Mathematics 2018-11-07 Anthony Rizzi

Since its emergence, quantum mechanics has been a challenge for an understanding of reality which is based on our intuition in a classical world. Nevertheless, it has often been tried to impose this understanding of reality on quantum…

Quantum Physics · Physics 2010-03-12 Gerd Niestegge

The present study attempts to provide a consistent and coherent account of what the world could be like, given the conceptual framework and results of contemporary quantum theory. It is suggested that standard quantum mechanics can, and…

History and Philosophy of Physics · Physics 2012-03-19 Vassilios Karakostas
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