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«The Series on Knots and Everything: is a book series polarized around the theory of knots. Volume 1 in the series is Louis H Kauffman’s Knots and ...»

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Formalizingthe Complex Geometry of Reality


Editor-in-charge: Louis H. Kauffman (Univ. of Illinois, Chicago)

The Series on Knots and Everything: is a book series polarized around the theory of

knots. Volume 1 in the series is Louis H Kauffman’s Knots and Physics.

One purpose of this series is to continue the exploration of many of the themes indicated in Volume 1. These themes reach out beyond knot theory into physics, mathematics, logic, linguistics, philosophy, biology and practical experience. All of these outreaches have relations with knot theory when knot theory is regarded as a pivot or meeting place for apparently separate ideas. Knots act as such a pivotal place.

We do not fully understand why this is so. The series represents stages in the exploration of this nexus.

Details of the titles in this series to date give a picture of the enterprise.


Vol. 1: Knots and Physics (3rd Edition) by L. H. Kauffman Vol. 2: How Surfaces Intersect in Space — An Introduction to Topology (2nd Edition) by J. S. Carter Vol. 3: Quantum Topology edited by L. H. Kauffman & R. A. Baadhio Vol. 4: Gauge Fields, Knots and Gravity by J. Baez & J. P. Muniain Vol. 5: Gems, Computers and Attractors for 3-Manifolds by S. Lins Vol. 6: Knots and Applications edited by L. H. Kauffman Vol. 7: Random Knotting and Linking edited by K. C. Millett & D. W. Sumners Vol. 8: Symmetric Bends: How to Join Two Lengths of Cord by R. E. Miles Vol. 9: Combinatorial Physics by T. Bastin & C. W. Kilmister Vol. 10: Nonstandard Logics and Nonstandard Metrics in Physics by W. M. Honig Vol. 11: History and Science of Knots edited by J. C. Turner & P. van de Griend *The complete list of the published volumes in the series, can also be found at http://www.worldscibooks.com/series/skae_series.shtml Vol. 12: Relativistic Reality: A Modern View edited by J. D. Edmonds, Jr.

Vol. 13: Entropic Spacetime Theory by J. Armel Vol. 14: Diamond — A Paradox Logic by N. S. Hellerstein Vol. 15: Lectures at KNOTS ’96 by S. Suzuki Vol. 16: Delta — A Paradox Logic by N. S. Hellerstein Vol. 17: Hypercomplex Iterations — Distance Estimation and Higher Dimensional Fractals by Y. Dang, L. H. Kauffman & D. Sandin Vol. 18: The Self-Evolving Cosmos: A Phenomenological Approach to Nature’s Unity-in-Diversity by S. M. Rosen Vol. 19: Ideal Knots by A. Stasiak, V. Katritch & L. H. Kauffman Vol. 20: The Mystery of Knots — Computer Programming for Knot Tabulation by C. N. Aneziris Vol. 21: LINKNOT: Knot Theory by Computer by S. Jablan & R. Sazdanovic Vol. 24: Knots in HELLAS ’98 — Proceedings ofthe International Conference on Knot Theory and Its Ramifications edited by C. McA Gordon, V. F. R. Jones, L. Kauffman, S. Lambropoulou & J. H. Przytycki Vol. 25: Connections — The Geometric Bridge between Art and Science (2nd Edition) by J. Kappraff Vol. 26: Functorial Knot Theory — Categories of Tangles, Coherence, Categorical Deformations, and Topological Invariants by David N. Yetter Vol. 27: Bit-String Physics: A Finite and Discrete Approach to Natural Philosophy by H. Pierre Noyes; edited by J. C. van den Berg Vol. 28: Beyond Measure: A Guided Tour Through Nature, Myth, and Number by J. Kappraff Vol. 29: Quantum Invariants — A Study of Knots, 3-Manifolds, and Their Sets by T. Ohtsuki Vol. 30: Symmetry, Ornament and Modularity by S. V. Jablan Vol. 31: Mindsteps to the Cosmos by G. S. Hawkins Vol. 32: Algebraic Invariants of Links by J. A. Hillman Vol. 33: Energy of Knots and Conformal Geometry by J. O’Hara Vol. 34: Woods Hole Mathematics — Perspectives in Mathematics and Physics edited by N. Tongring & R. C. Penner Vol. 35: BIOS — A Study of Creation by H. Sabelli Vol. 36: Physical and Numerical Models in Knot Theory edited by J. A. Calvo et al.

Vol. 37: Geometry, Language, and Strategy by G. H. Thomas Vol. 38: Current Developments in Mathematical Biology edited by K. Mahdavi, R. Culshaw & J. Boucher Vol. 39: Topological Library Part 1: Cobordisms and Their Applications edited by S. P. Novikov and I. A. Taimanov Vol. 40: Intelligence of Low Dimensional Topology 2006 edited by J. Scott Carter et al.

Vol. 41: Zero to Infinity: The Fountations of Physics by P. Rowlands Vol. 42: The Origin of Discrete Particles by T. Bastin and C. Kilmister Vol. 43: The Holographic Anthropic Multiverse by R. L. Amoroso and E. A. Ranscher KE Series on Knots and Everything — Vol. 43

–  –  –

World Scientific NEW JERSEY • LONDON • SINGAPORE • BEIJING • SHANGHAI • HONG KONG • TAIPEI • CHENNAI Published by World Scientific Publishing Co. Pte. Ltd.

5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE Library of Congress Cataloging-in-Publication Data Amoroso, Richard L.

The holographic anthropic multiverse : formalizing the complex geometry of reality / by Richard L Amoroso & Elizabeth A Rauscher.

p. cm. -- (Series on knots and everything ; v. 43) Includes bibliographical references and index.

ISBN-13: 978-981-283-930-5 (hardcover : alk. paper) ISBN-10: 981-283-930-5 (hardcover : alk. paper)

1. Quantum cosmology. 2. Anthropic Principle. 3. Supersymmetry. I. Rauscher, Elizabeth A.

II. Title.

QB991.Q36A46 2009 523.1--dc22 British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library.

Copyright © 2009 by World Scientific Publishing Co. Pte. Ltd.

All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher.

For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher.

Printed in Singapore.

For Juliette – May the hope we have for the entelechies of our children’s incarnation parallel the conformal scale-invariant hope for the evolution of human consciousness this little volume might engender as reflected in the following musing…

–  –  –

This Is The Greatest Poem Ever Written Though Sheldrake’s morphogenic field finds it so And fundamental Platonic form illuminates it’s glow;

–  –  –

Reference [1] Amoroso, J.R.S. & Amoroso, R.L. (2006) The greatest poem ever written, in Rendevous at the Temple of Love: Poems of Peace, Love & Whimsy, pp. 105-106, Oakland: Noetic Press.

–  –  –

...the right hand side includes all that cannot be described so far in the Unified Field Theory, of course, not for a fleeting moment, have I had any doubt that such a formulation is just a temporary answer, undertaken to give General Relativity some closed expression. This formulation has been in essence nothing more than the theory of the gravitational field which has been separated in a somewhat artificial manner from the unified field of a yet unknown nature - Einstein.

What kind of a book is this? Does it live up to its hype? We suppose critics will have a field day with it as has always been the case when someone goes out on a limb further than the current conquistadores are wont to. This is not a book for those as it were ‘geocentric nay sayers’ who vehemently oppose anything new or who myopically adhere to the status quo. A roiling plethora of physicists these days are deeply troubled by the morose perversity of the conundrum experienced as a result of such ratiocinations; perhaps hundreds or even thousands struggle with additional dimensions, string theory → M-Theory → F-Theory and myriad other issues. Recently a colleague remarked ‘he was finally willing to pay the price to embrace the Everett Many World’s model’; I wanted to answer that I cared nothing for what was considered politically correct and would rather embrace the true intellectual freedom entailed in the fundamental epistemological foundations of science itself, seek only for the truth and apply due diligence to the tiniest indicia if even a scintilla of evidence warranted searching a seemingly spurious path to find it. In that guise ‘we let our hair down’ so to speak and explore avenues that have remained unexplored for far too long to their penultimate conclusions.

We hope thereby dear reader that you might keep an open mind if for no other reason than as an exercise in epistemology. It was the famous

vii The Holographic Anthropic Multiverseviii

{ } paradox or antinomy, R = A A ∉ A of noted philosopher Bertrand Russell who proved that 4 + 5 = 7 [1]. Contrariwise we use no logical trickery but take the usual empirical evidence to follow ‘another’ path of interpretation. For example Hubble discovered cosmological redshift not a Doppler expansion of the universe which has fostered the ‘political’ mindset of the time.

We mentioned the struggle with ‘political pressure’ in the scientific community that even one of the greatest physicists of all time gave in to and withdrew (what was considered at the time ad hoc) his concept of the cosmological constant calling it ‘his greatest blunder’. We disagree, his greatest blunder was giving in to what was thought to be politically correct. It is said there has been little new in physics in the last hundred years. We insist as Smolin and others have said that this has occurred because of the pressure to be ‘mainstream’ and the severe punishment (being marginalized - no career, no publications, no funding) of those that veer off the beaten track. If science is allowed to be science, this may not have occurred because the seeds of all we relate in this volume have been available for planting for most of this 100 years war.

Admittedly this volume’s contents are avante guarde in 2009, hopefully by 2012 they will be mainstay science if empirical tests are performed. Let us elaborate. This book has been pitched as a ‘Copernican class volume’. How do we know if we have deluded ourselves? More importantly, how can you the reader judge tommyrot and twaddle from truth? Too many of our friends and colleagues insist that the universe is only 4D. One said, ‘of course if you add more degrees of freedom you can do anything!’ Two of the major contributions of this volume are a design for universal bulk quantum computing (Chap. 11) based on a model for surmounting the quantum uncertainty principle (Chap. 9). History has generally shown that when a ‘correct’ theory is found it is elegant, logical and internally consistent and has broad explanatory power. Most saliently this little tome is full of explanatory power. But the point we wish to make regards empirical testing which is the main pragmatic task of science. Moore’s Law named after the founder of Intel, has shown for over 40 years that every 18 months the number of transistors on a CPU doubles and the processing speed doubles. Moore’s Law has never been wrong. In Chap. 11 you will find a graph projecting Moore’s Law into the quantum domain. This seems to occur about 2011 or 2012. The chink in making this prediction

Preface ix

more precisely is that the transition from the usual technology to quantum technology may involve a phase change like the one that occurs when one puts a stick into a pool of water – The image of the stick is bent by a certain small angle. Does such a transition angle apply here? In any case we challenge the quantum computing community to ‘immediately’ build a bulk universal quantum computing prototype using the empirically testable model presented here. Do not let Gordon Moore down. Do not let us down either for that matter because we have use for a special class of quantum computer required to develop new medical technologies.

We state our case(s) here matter-of-factly as axiomatic elements of the new noetic paradigm presented without too much in the way of humble apologetic mumbo jumbo ‘this is highly speculative’, or theoretical etc. That’s too boring for us and now should be obvious since stated up front. Pretty much all of our heretical views are empirically testable in the near term so we take liberty to play with your minds a little. Do the experiments then pick on us or not as the case may be because by then we would doubly deserve it. Why attempt to start such a puerile brouhaha? For two reasons: 1) As Smolin has said ‘we are in an era where brilliant young scientists are not given jobs, tenure or funding unless they rigidly adhere to current thinking’ [2]. Some of us are sick of this and we personally hope this volume finally has enough chutzpah to knock ‘Humpty Dumpty’ permanently off the wall. 2) Gandhi said, ‘first they ignore you, then they laugh at you, then they fight with you, then you win’. So put up your dukes...

It is uncommon to be so brazen, so why do we do it? We want to make certain our point does not go unnoticed. Copernicus and Galileo were almost killed for their ideas; and the modern form of this ‘murder’ is reflected in Smolin’s manifesto noted above. Worse yet, it is said that it took about 150 years before Copernicus’ ideas became generally accepted. More recently for Einstein’s introduction of the photoelectric effect (initially considered absurd) it took ~15 years before the empirical work was performed. ‘Things’ seem to occur asymptotically quicker in current times. We suggest this can be so and hope to force the issue – 150 → 15 → 1.5 years which would be about the 2011 or 2012 predicted by Moore’s Law! Again please do not disappoint Mr. Moore;

it would be breaking the law!

The main ‘claim to fame’ of this little tome’s is the semiformal introduction of a new cosmological paradigm called the Holographic The Holographic Anthropic Multiverse x Anthropic Multiverse (HAM) which we have done our best to make ‘logically coherent and internally consistent’. In spite of its flaws which stem from our inability to have performed better at this point in time;

there is no denying the breath of its explanatory power:

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