Open Advanced Search

Log in
Enterprise Plans
Free Trial

Log in
Free Trial
Enterprise Plans
Browse
Features
Pricing

DeepDyve

Advanced Search

show/hide query preview

With all of the words or DOIs:

DeepDyve's default query mode: search by keyword or DOI.

With the exact phrase:

Require these words, in this exact order. Do not surround your terms in double-quotes ("") in this field.

With at least one of the words:

Find any of these words, separated by spaces

Without the words:

Exclude each of these words, separated by spaces

With words in the article title:

Search for these terms only in the title of an article

Published between the years:

With the following authors:

Most effective as: LastName, First Name or Lastname, FN

With words in the journal name:

Search for articles published in journals where these words are in the journal name

Reset filters

Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

DeepDyve requires Javascript to function. Please enable Javascript on your browser to continue.

The Cellular Automaton Interpretation of Quantum Mechanics

Part of the Fundamental Theories of Physics Book Series (volume 185)

DOI: 10.1007/978-3-319-41285-6

ISBN: 978-3-319-41284-9

Publisher: Springer International Publishing - Springer Journals

Sep 3, 2016

11 - 20 of 23 Chapters

LitStream

Introduction to Part II

’t Hooft, Gerard

Pages: 121 –127

[A general introduction is presented to the more technical Part II of this book. It is explained how we arrive at our choice of notation, how we attempt and sometimes fail to make the notation completely consistent and straightforward throughout the book.]
LitStream

More on Cogwheels

’t Hooft, Gerard

Pages: 129 –134

[The prototype of the simplest periodic deterministic systems is a model whose states move on a circle. The prototype of the quantum mechanical periodic system is the harmonic oscillator. In line with the philosophy on which this book it based, these two models can be mapped one onto the other....
LitStream

The Continuum Limit of Cogwheels, Harmonic Rotators and Oscillators

’t Hooft, Gerard

Pages: 135 –139

[It is shown how the mathematics has to be set up that is needed to relate classical and quantum mechanical periodic worlds, in the case both contain large numbers of states, while, eventually, we wish to introduce perturbations and interactions.]
LitStream

Locality

’t Hooft, Gerard

Pages: 141 –145

[The usual ‘proofs’ that deterministic hidden variable models for quantum mechanics cannot be completely local, are based on rather indirect arguments, using thought experiments, free will, and the like. In this chapter we show how difficulties emerge when we wish to construct mathematical...
LitStream

Fermions

’t Hooft, Gerard

Pages: 147 –167

[Classical theories starting with continuous degrees of freedom will typically generate bosonic quantum objects; fermionic quantum objects in turn, arise when a classical system contains discrete degrees of freedom—typically: flip-flops. Here, we explain how anti-commuting operators enter the...
LitStream

PQ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathit{PQ}$\end{document} Theory

’t Hooft, Gerard

Pages: 169 –179

[What is badly needed is an elegant mathematical scheme that replaces position and momentum operators q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}...
LitStream

Models in Two Space–Time Dimensions Without Interactions

’t Hooft, Gerard

Pages: 181 –214

[Sooner or later, we shall have to contemplate multi-particle systems and quantized field theories. These naturally arise whenever quantum mechanics confronts Einstein’s Special Relativity. The prototype is the theory of bosons in one space-, one time dimension. First, we consider the massless,...
LitStream

Symmetries

’t Hooft, Gerard

Pages: 215 –226

[In classical, deterministic systems, we may have classical symmetries, transforming ontological states into other ontological states. In line with our general philosophy, we now extend the group of symmetries using quantum symmetries, where ontological states are compared with superimposed...
LitStream

The Discretized Hamiltonian Formalism in PQ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathit{PQ}$\end{document} Theory

’t Hooft, Gerard

Pages: 227 –243

[In standard quantum mechanics, the construction of the Schrödinger equation requires a Hamiltonian operator, which must obey some important restrictions. Most of our deterministic models are, to some extent, discrete. How do we carry over the standard Hamiltonian formalism to a discretized...
LitStream

Quantum Field Theory

’t Hooft, Gerard

Pages: 245 –260

[Since the finiteness of the speed of light, and other considerations of special relativity, play such an important role in arguments concerning the interpretation of quantum mechanics, a good understanding of quantum field theory is a prerequisite. In this chapter, a brief summary is presented...

results per page

Browse All eBooks

Features

Search and discover articles on DeepDyve, PubMed, and Google Scholar
Read the full-text of open access and premium content
Organize articles with folders and bookmarks
Collaborate on and share articles and folders

Info

Pricing
Enterprise Plans
Browse Journals & Topics
About DeepDyve

Help

Help
Publishers
Contact Us

Sign up for your 14-Day Free Trial Now!

Read and print from thousands of top scholarly journals.

System error. Please try again!

Continue with Facebook

By signing up, you agree to DeepDyve’s Terms of Service and Privacy Policy.

Already have an account? Log in

Save Article to Bookmarks

Bookmark this article. You can see your Bookmarks on your DeepDyve Library.

To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.

Subscribe to Journal Email Alerts

To subscribe to email alerts, please log in first, or sign up for a DeepDyve account if you don’t already have one.

Follow a Journal

To get new article updates from a journal on your personalized homepage, please log in first, or sign up for a DeepDyve account if you don’t already have one.

Our policy towards the use of cookies

All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.

cookie policy