H. Chris Ransford The Far Horizons of Time Time and Mind in the Universe H. Chris Ransford The Far Horizons of Time Time and Mind in the Universe Managing Editor: Paulina Leśna-Szreter Language Editor: Andrew Laister Published by De Gruyter Open Ltd, Warsaw/Berlin Part of Walter de Gruyter GmbH, Berlin/Munich/Boston This work is licensed under the Creative Commons Attribution- NonCommercial-NoDerivs 3.0 license, which means that the text may be used for non-commercial purposes, provided credit is given to the author. For details go to http://creativecommons.org/licenses/by-nc-nd/3.0/. Copyright © 2014 H. Chris Ransford ISBN 978-3-11-044027-0 e-ISBN 978-3-11-044028-7 Bibliographic information published by the Deutsche Nationalbibliothek The Deutsche Nationalbibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data are available in the Internet at http://dnb.dnb.de. Managing Editor: Paulina Leśna-Szreter Language Editor: Andrew Laister www.degruyteropen.com Cover illustration: © Stocktrek Images Contents Acknowledgements & Thanks Introduction Prologue: Walk Towards A Distant Star 1 Time - Part 1 2 When is Now? 3 The Time Explorer’s Toolkit 4 Infinity & Infinities 5 Our Quantized Reality: Life in the Strobe Lights 6 A Surprisingly Puzzling Reality 7 Wave Functions: Mathematics Is Reality 8 The Most Complex Object in the Known Universe 9 Heisenberg’ls Uncertainty Principle (aka Indeterminacy) 10 Time - Part 2: the Guises of Time 10.1 Time as an Emergent Property? 10.2 Time as a Dimension? 11 Gödel Universes? 12 Big Bangs 13 Bubbles of Time 14 Multiverse Scenarios 15 In Search of OM End Notes Further Reading Index Acknowledgements & Thanks First and foremost, I am indebted to Dr. Paulina Lesna-Szreter at de Gruyter Open who helped make a book out of a rather formless original manuscript, and whose advice was precious at every step of the way. I am also deeply indebted to all the teachers who ignited and then fed a thirst for always understanding “what lies beneath”, why is reality that way and not some other way. They are far too numerous to mention, and some have by now left us, but let me at least mention here Jean-François Guyot and Jean Besson in Grenoble, Klaus Tödheide in Karlsruhe, and Charles Joachain in Brussels. There are also those who have written remarkable contributions in the form of books, articles or treatises and who, by doing so, have extended their influence well beyond their narrow confines of time and space. Some have been kind enough to occasionally correspond with me by email. For their kindness and discussions I am forever indebted to, among others, John D. Barrow, the late Evan Harris Walker, Dieter Zeh. Among those I did not correspond with but whose books and writings inspired me may I cite Stephen Hawking, Charles Joachain, Paul Davies, John Gribbin, Bernard d’Espagnat, Claude Cohen-Tannoudji, all those whose names are cited in the index, and many others. My deep gratefulness extends to my language editor, Andrew Laister, my esteemed friends and colleagues, Jean François Lacoste-Bourgeacq, Jean Bornarel, Bodil Jönsson, France Citrini, Andrew Greentree, Ulrich Mutze, Joachim Kalden, Claus Janew, Issam Sinjab, David Johnson, Daniel Peterson, Ben Thomas, Luciano Cassata, Jacques de Schryver, Charles Hirlimann, Johannes Grünwald, Andrzej Szymanski, Frank Volke, Muhammad Farooq, Erkki Bründas, Jean Claude Dutailly, Abedallah Rababah, Sergio Wechsler, Fethi Belgacem, Costas Drossos, H.E. Lehtihet, Hemanta Baruah, Mohammad Ayaz Ahmad, Vitaly Voloshin, Michael Brückner, Anatolij Prykarpatski, Yuri Gornostyrev, Octav Olteanu, Dmitry Kazansky, Abderrahmane Kadri, Nageswara Posinasetti, and countless others far too numerous to mention, some of whom I may only have interacted with electronically, but who have all proved stimulating, challenging, and enlightening. Of course, the ideas presented herein are mine, and discussion partners may have held different views. Second - therein lies a tale. One of my earliest memories is a class at primary school - it had to be primary one, because that’s when they teach about time and clocks. The teacher, a kind old man - although any man at any age must have looked positively ancient to us youngsters - was telling us about the time and its subdivisions, an hour, a minute, a second, and how they were clearly marked on the faces of our then exclusively analog watches. He then volunteered a pretty odd comment which instantly indelibly etched itself on my young impressionable mind. I still see him, wistfully peering at the bleak outside weather lashing the classroom’s window panes with rain, when he mused half aloud, probably more to himself than to us: “Some people say that there exists a sixtieth of a second too, but that’s just much too small - it does not exist.” This odd pronouncement puzzled me endlessly, and the manifold questions arising from trying to make sense of it just wouldn’t leave me alone. We were also then learning about distance and I recall thinking that if I ran as fast as I could across the schoolyard, then a sixtieth of a second or perhaps even less would be the time it would take to maybe move by an inch or less. I also remember thinking that if we kept adding up enough however small fractions of an inch, then we would inescapably end up with the yard’s full measure - and then some, and that in order to run the length of the yard I had to run those small distances first, in whatever time it took to do so - much certainly less than a sixtieth of a second each. The more I thought about it, the less this pronouncement seemed to make any sense at all. Then time passed and I learnt about calculus - i.e., adding an infinitely large number of infinitely small things - and then even about languages: whereas there is no formal word in English for a sixtieth of a second exactly - a number of words, such as a jiffy, have been proposed but somehow never jelled - a number of other languages, such as both German and French, do have a definite word for it. Thus, my old teacher’s pronouncement appeared doubly wrong - a sixtieth of a second did exist after all, it wasn’t too tiny, and adding up very many vanishingly small things did yield up measurable, ordinary, tangible outcomes. And yet - because time is almost certainly discontinuous in our universe, the old teacher’s pronouncement was, in its essence, not so wide off the mark - albeit wrong by many orders of magnitude as to the actual measurement value of a time quantum. My kind old teacher, who set me
Description: