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MANAGEMENT of POST-FACIAL PARALYSIS SYNKINESIS

MANAGEMENT of POST-FACIAL PARALYSIS SYNKINESIS

BABAK AZIZZADEH MD, FACS

Associate Clinical Professor, David Geffen School of Medicine at UCLA

Diplomat, American Board of Facial Plastic & Reconstructive Surgery

Fellow, American Academy of Facial Plastic & Reconstructive Surgery

Fellow, American College of Surgeons

CHARLES NDUKA MB BS, MA(OXON), MD, FRCS, FRCS(PLAS)

Consultant Plastic Surgeon, Facial Palsy Unit

Department of Plastic & Reconstructive Surgery

Queen Victoria Hospital

East Grinstead, UK

No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher. Details on how to seek permission, further information about the Publisher’s permissions policies and our arrangements with organizations such as the Copyright Clearance Center and the Copyright Licensing Agency, can be found at our website: www.elsevier.com/permissions

This book and the individual contributions contained in it are protected under copyright by the Publisher (other than as may be noted herein).

Notices

Practitioners and researchers must always rely on their own experience and knowledge in evaluating and using any information, methods, compounds or experiments described herein. Because of rapid advances in the medical sciences, in particular, independent verification of diagnoses and drug dosages should be made. To the fullest extent of the law, no responsibility is assumed by Elsevier, authors, editors or contributors for any injury and/or damage to persons or property as a matter of products liability, negligence or otherwise, or from any use or operation of any methods, products, instructions, or ideas contained in the material herein.

Library of Congress Control Number: 2021939103

ISBN 978-0-323-67331-0

e_ISBN 978-0-323-75510-8

Content Strategist: Jessica McCool/Belinda Kuhn

Content Development Specialist: Trinity Hutton/Veronika Watkins

Project Manager: Julie Taylor

Designer: Bridget Hoette

Printed in the United States

Video Table of Contents, vi

Preface, vii

Acknowledgements, viii Dedication, ix Contributors, x

1 Facial Nerve and Muscle Anatomy, 1 G. Nina Lu, Patrick J. Byrne

2 Etiology, Epidemiology, and Pathophysiology of Post-Facial Paralysis Synkinesis, 13 Kofi D.O. Boahene

3 Psychosocial Impact of Facial Palsy, 19

Ietske J. Siemann, Carien H.G. Beurskens

4 Facial Nerve Consultation, 25

Stephanie Warrington, Sara MacDowell, Laura Hetzler

5 Smile Analysis for Facial Nerve Disorders, 33 Scott R. Chaiet

6 The Role of Botulinum Toxin in Facial Palsy Management, 39

Ruben Yap Kannan, Charles Nduka

7 Assessment and Grading of Synkinesis and Facial Palsy, 51

Helen Hartley, Wendy Blumenow, Rebecca Williams, Adel Fattah

8 Objective Measurement of Outcomes in Facial Palsy, 59

Gerd Fabian Volk, Jovanna Thielker, Oliver Mothes, Orlando Guntinas-Lichius

9 Facial Neuromuscular Retraining for Synkinesis, 75 H. Jacqueline Diels

10 Eyelid Rehabilitation in Post-Facial Paralysis With Synkinesis, 91

Amy Patel Jain, Yao Wang, Julia Kerolus, Babak Azizzadeh, Guy Massry

11 Surgical Management of Post-Facial Paralysis Synkinesis, 101 Mike Zein, Babak Azizzadeh

Appendix: Instructions for Sonography of the Mimic Musculature, 109 Index, 135

Video Table of Contents

CHAPTER 1

Video 1.1 Levator labii superioris vector of pull

CHAPTER 3

Video 3.1 Alternatives for facial expressions

CHAPTER 4

Video 4.1 Flaccid paralysis

Video 4.2 Synkinesis

CHAPTER 7

Video 7.1 Example of iatrogenic synkinesis

Video 7.2 Post-operative rehabilitation therapy for gracilis patients

Video 7.3 Additional assessments for bilateral facial palsy patients

CHAPTER 8

Video 8.1 Example of a standard photo session

Video 8.2 Example of pathologic spontaneous activity recorded by a needle-electromyography of the musculus orbicularis oris

Video 8.3 Montage of video and electromyography from a patient with synkinesis. Two needle-EMGelectrodes are inserted in two different muscles: channel 1 shows M. orbicularis oris; channel 2 shows M. zygomaticus. Sound comes from channel 1

Video 8.4 Montage of video and electromyography from a patient with synkinesis. Two needle-EMGelectrodes are inserted in two different muscles:

channel 1 shows M. orbicularis oris; channel 2 shows M. zygomaticus. Sound comes from channel 2

Video 8.5 Montage of video and electromyography from a participant without synkinesis. Two needleEMG - electrodes are inserted in two different muscles: channel 1 shows M. orbicularis oris; channel 2 shows M. zygomaticus. Sound comes from channel 1

Video 8.6 Montage of video and electromyography from a participant without synkinesis. Two needle-EMG - electrodes are inserted in two different muscles: channel 1 shows M. orbicularis oris; channel 2 shows M. zygomaticus. Sound comes from channel 1

Video 8.7 Sonography of the corner of the mouth while patient with synkinesis is performing eye blinks

CHAPTER 9

Video 9.1 Inhibition of oculi synkinesis during fNMR

Video 9.2 Inhibition of synkinesis using sEMG feedback

Video 9.3 Movement acquisition during fNMR using proprioception

Video 9.4 Dynamic demonstration of synkinetic inhibition during evaluation

Video 9.5 Identifying botulinum toxin injection site(s) for buccinator

CHAPTER 10

Video 10.1 Eyelid and periorbital reconstructive surgery

Preface

This book grew from the seed of an idea planted in 2017 at the 13th International Facial Nerve Symposium, organized and hosted by Babak Azizzadeh and colleagues. It gathered over 500 professionals from over 40 countries in Los Angeles to share knowledge and research about facial paralysis. There was an excellent panel session on synkinesis with contributions from Jackie

Diels, Daniel Labbé, Mark Lucarelli, Guy Massry, Bill Slattery, and Matt White. It was clear that there is immense knowledge about the management of synkinesis in the heads of the international faculty that needed to be captured in one place. The result is this book, which has drawn upon leading experts from across the world to distill their knowledge within these pages.

Acknowledgements

Acknowledgements from Charles Nduka

I would like to thank the thousands of patients affected by synkinesis who have allowed me to be part of their care team. They have provided me with important insights and inspiration. I am especially grateful to the Facial Palsy UK community of patients, their families, and supporters who have taught me so much about the impact that facial paralysis has on their lives.

I am grateful to my multidisciplinary colleagues at the Queen Victoria Hospital in East Grinstead, including facial therapists Trina Neville, Tamsin Gwynn, and Karen Young, psychological therapist Beth Jordan, and my plastic surgery colleague Ruben Kannan. I am also grateful for the ongoing support of the oculoplastic team led by Raman Malhotra and André Litwin, and the facial nerve team at Guy’s Hospital in London. Without the encouragement, patience, and support of Veronika Watkins, Jessica McCool, and the Elsevier team, this book would not have been possible.

Acknowledgements from Babak Azizzadeh

My personal journey as a physician has been so rewarding, with my family, patients, mentors, and colleagues having an integral role in my passion for treating patients with facial nerve disorders. During the very early part of my residency training, one of my wife’s closest friends developed facial paralysis due to a benign brain tumor and that started my deep curiosity into this most challenging of all medical and surgical disorders. During my early days as a resident in Head & Neck Surgery at UCLA, Drs. Rinaldo Canalis, Tom Calcatterra, Keith Blackwell, and Gerald Berke were integral in my training in microsurgery, in-depth

understanding of the facial nerve anatomy, and the complexity of treating cranial nerve disorders. I was privileged to train in facial plastic and reconstructive surgery at the Massachusetts Eye & Ear Infirmary which completely changed the trajectory of my career. During my fellowship at Harvard Medical School, I was fortunate enough to be trained by Dr. Mack Cheney who had himself dedicated his life to microsurgery, facial plastic surgery, and facial paralysis and, along with Drs. Mark Varvares and Daniel Deschler, gave me the necessary medical and surgical tools to further develop my skills. After returning to Los Angeles, I was privileged to be surrounded by a passionate team of subspecialists who share the same desire, allowing us to look at facial nerve disorders from a multidisciplinary approach. Drs. Babak Larian, Guy Massry, Bill Slattery, Randy Sherman, Greg Lekovic, and Jackie Diels have been inspirational and I have learned so much from each of them almost every single day. I have also been fortunate to have met so many pioneers of the field such as Dr. Douglas Harrison who have mentored and inspired me. I also want to thank my contemporaries Drs. Tessa Hadlock and Patrick Byrne who continue to push the envelope in this emerging field of study. I would be remiss not to share how lucky I have been to have Dr. Babak Larian as the most compassionate and talented partner who has been with me every step of the way for over two decades. He and I have operated together, dreamed together, devised new approaches, and managed the most challenging medical and surgical cases. Finally, this book would not have become reality without Jessica McCool, Veronika Watkins, and the rest of the Elsevier team. They have been the ultimate professionals in their own field.

Dedication from Charles Nduka

To my wife Jules for her continued understanding and patience.

Dedication from Babak Azizzadeh

I dedicate this book to all my patients who have entrusted me to help them in their own journeys.

Contributors

Babak Azizzadeh MD

Associate Clinical Professor, David Geffen School of Medicine at UCLA

Diplomat, American Board of Facial Plastic & Reconstructive Surgery

Fellow, American Academy of Facial Plastic & Reconstructive Surgery Fellow, American College of Surgeons

Carien Beurskens PhD Doctor Physiotherapy

Radboud University Medical Center Nijmegen, Netherlands

Wendy Blumenow Bsc (Hons), RCSLT, HCPC

Principal Speech & Language Therapist

Alder Hey Children’s NHS Foundation Trust Liverpool, UK

Kofi Boahene MD Professor Department of Otolaryngology, Head and Neck Surgery

Johns Hopkins University School of Medicine Baltimore MD, USA

Patrick Byrne MD Chairman

The Cleveland Clinic Head and Neck Institute Cleveland OH, USA

Scott Chaiet MD, MBA Assistant Professor

Division of Otolaryngology, Department of Surgery University of Wisconsin School of Medicine & Public Health Madison WI, USA

H. Jacqueline Diels OT

Facial Retraining Specialist

Rehabilitation

Facial Retraining LLC Madison WI, USA

Adel Fattah PhD, FRCS(Plast)

Consultant Plastic Surgeon

Regional Paediatric Burns and Plastic Surgery Service

Alder Hey Children’s NHS Foundation Trust Liverpool, UK

Orlando Guntinas-Lichius MD Professor and Chairman

ENT Department

Jena University Hospital

Jena, Germany;

Facial Nerve Center

Jena University Hospital

Jena, Germany;

Medical Faculty, Friedrich-Schiller-University

Jena, Germany

Helen Hartley MSc, BSc

Highly Specialist Paediatric Physiotherapist

Physiotherapy Department

Alder Hey Children’s NHS Foundation Trust Liverpool, UK

Laura Hetzler MD, FACS

Associate Professor and Program Director

Department of Otolaryngology – Head and Neck Surgery

Louisiana State University New Orleans LA, USA

Ruben Yap Kannan MB, PhD, FRCS(Plast), DOHNS, DLM Consultant

Plastic & Reconstructive Surgery, (Facial Palsy)

Queen Victoria Hospital East Grinstead West Sussex, UK

Julia Kerolus MD

Assistant Professor

Otolaryngology – Head and Neck Surgery

University of Illinois at Chicago Chicago IL, USA

G. Nina Lu MD

Assistant Professor

Otolaryngology

University of Washington

Seattle WA, USA

Sara MacDowell PT, DPT

Doctor of Physical Therapy

Our Lady of the Lake Hearing and Balance Center Baton Rouge LA, USA

Guy Massry MD

Ophthalmic Plastic & Reconstructive Surgery Beverly Hills, California, CA, USA; Clinical Professor of Ophthalmology University of Southern California, Keck School of Medicine, CA, USA; Diplomat, American Board of Ophthalmology; Fellow, American Society of Ophthalmic Plastic and Reconstructive Surgery

Oliver Mothes MSc Computer Vision Group Friedrich Schiller University Jena Thuringia, Germany

Charles Nduka MB BS, MA(OXON), MD, FRCS, FRCS(Plas)

Consultant Plastic Surgeon, Facial Palsy Unit Department of Plastic & Reconstructive Surgery Queen Victoria Hospital East Grinstead, UK

Amy Patel Jain MD Oculoplastics

Cedars-Sinai Los Angeles CA, USA

Ietske Siemann MSc Medical Psychology Radboud University Medical Center Nijmegen, Netherlands

Jovanna Thielker MD ENT Department

Jena University Hospital Jena, Germany; Facial Nerve Center

Jena University Hospital Jena, Germany; Medical Faculty, Friedrich-Schiller-University Jena, Germany

Gerd Fabian Volk Priv. Doz. Dr. med. habil.

Senior Consultant

ENT Department

Jena University Hospital Jena, Germany; Head Facial Nerve Center

Jena University Hospital Jena, Germany; Medical Faculty, Friedrich-Schiller-University Jena, Germany

Yao Wang MD Fellow Physician

Ophthalmology and Surgery

Cedars-Sinai Medical Center Los Angeles CA, USA

Stephanie Warrington MD

Department of Otolaryngology – Head Neck Surgery

LSU Health Sciences Center New Orleans LA, USA

Rebecca Williams BSc (Hons)

Specialist Paediatric Physiotherapist

Alder Hey Children’s NHS Foundation Trust Liverpool, UK

Mike Zein MB, MSc

Bascom Palmer Eye Institute University of Miami Miami FL, USA

Facial Nerve and Muscle Anatomy

INTRODUCTION

The facial nerve, also known as the seventh cranial nerve, combines motor, general sensory, special sensory, and autonomic (visceral) components. The intricate course of the facial nerve as it runs intracranially, intratemporally, and extratemporally is essential for any surgeon operating in the head and neck to understand. The facial nerve innervates the muscles derived from the second branchial arch and carries sensory and parasympathetic fibers of the nervus intermedius. The facial muscles, also known as mimetic muscles, function to protect the eye, maintain the nasal airway, provide oral continence, and articulate speech. Equally as important, these mimetic muscles provide humans the means for emotional expression and interpersonal communication. This chapter details an anatomic description of the facial nerve and musculature with a focus on anatomy and physiology as they relate to facial nerve disorder and treatment.

FACIAL NERVE

The facial nerve provides a diverse range of functions via efferent and afferent innervation to structures of the second branchial arch. The most well-associated function of the facial nerve is its innervation of striated muscles of facial expression. These functions will be the focus of this chapter. However, additional efferent motor fibers provide innervation to the stapedius muscle, the stylohyoid muscle, and the posterior belly of the digastric. Collectively, these motor fibers represent the special visceral efferents comprising the majority of the facial nerve fibers. The remaining efferent fibers of the facial nerve are general efferent fibers and form autonomic contributions. These autonomic nerves travel via the greater superficial petrosal nerve (GSPN) to the lacrimal gland and seromucinous glands of the nasal cavity and via the chorda tympani to the submandibular and sublingual glands. Traveling with this autonomic system, visceral afferent fibers supply visceral sensation to the mucosa of the nose, pharynx, and palate. Additional afferent inputs include special sensory fibers and somatic sensory fibers. Special sensory fibers for taste to the anterior two-thirds of the tongue, tonsillar fossa, and palate originate from the geniculate

ganglion cell bodies and travel within the chorda tympani and GSPN. Somatic sensory fibers provide touch sensation to the external auditory canal and conchal skin of the auricle as well as proprioceptive information from the facial muscles (Fig. 1.1).

INTRACRANIAL

Facial muscle movement starts with a conscious or unconscious impulse in the motor cortex of the precentral gyrus of the cerebral hemispheres. The majority of cerebral fibers then project to the contralateral facial motor nucleus via the corticobulbar tract through the thalamus along the posterior limb of the internal capsule. However, a subset of cerebral fibers controlling movement of the frontalis and upper orbicularis oculi project to both the ipsilateral and contralateral facial motor nuclei. A central lesion will thus cause frontalis-sparing facial paralysis due to the bilateral contributions to the upper face. The precentral gyrus fibers synapse in the facial motor nucleus, residing in the pontine tegmentum. Postsynaptic fibers then travel dorsally within the brainstem, loop around the floor of the fourth ventricle at the facial colliculus, and exit the ventrolateral aspect of the brainstem at the caudal border of the pons in the cerebellopontine angle (Fig. 1.2).

Collectively known as the nervus intermedius, preganglionic fibers of the superior salivatory nucleus and sensory fibers from the nucleus of tractus solitarius exit the brainstem directly lateral to the facial nerve motor root. Together, the facial nerve motor root and nervus intermedius enter the internal auditory canal (IAC) at the porus acusticus. For the purposes of this chapter, the facial motor root and nervus intermedius will be collectively referred to as the facial nerve.

INTRATEMPORAL

Meatal

The facial nerve travels through the temporal bone via a bony channel, the fallopian canal. The first segment of the fallopian canal is the meatal segment or IAC. The facial nerve travels in the superior anterior aspect of the IAC. The transverse (falciform) crest separates the facial nerve from the cochlear nerve inferiorly and Bill’s bar, a lateral ridge of bone, and separates the facial nerve from the superior vestibular nerve posteriorly. Within the IAC, the nerve lacks a fibrous sheath

G. Nina Lu, Patrick J. Byrne

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Lowell, P., 174

Luck, rays of, 190

Lumber (in world building), 235, 243

Macroscopic survey, 154, 227, 299, 304

Man, 169, 178

Man-years, 180

Mars, 172

Mass, increase with velocity, 39, 50, 59

Mathematician, 161, 209, 337, 347

Matrix, 208

Matter, 1, 31, 156, 203, 248, 262

Maxwell, J. C., 8, 60, 156, 237

Measures of structure, 234, 268

Mechanical models, 209

Mechanics and Geometry, 137

Mendelian theory, 250

Mental state, 279

Metric, 142, 153

Metrical and non-metrical properties, 275

Michelson-Morley experiment, 5, 11

Microscopic analysis, reaction from, 103

Milky Way, 163

Miller, D. C., 5

Mind and matter, 259, 268, 278; selection by mind, 239, 243, 264

Mind-stuff, 276

Minkowski, H., 34, 53

Mirror, distortion by moving, 11

Models, 198, 209, 344

Molecular bombardment, 113, 131

Momentum, 153, 208, 223, 239, 262

Monomarks, 231

Moon, origin of, 171

Morley, E. W., 5

Motion, law of, 123

Multiplicationist, 86

Multiplicity of space and time frames, 20, 35, 61

Myself, 42, 53

Mysticism, defence of, 323; religious, 338

Nautical Almanac, 150

Nebulae, 165

Nebular observers, 9, 12

Neptune, 49

Neutral stuff, 280

Neutral wedge, 48

New quantum theory, 206

Newton, 111, 122, 201; quotation from, 111

Newtonian scheme, 4, 18, 125

Non-empty space, 127, 153, 238

Non-Euclidean geometry, 157

Nonsense, problem of, 344

Now-lines, 42, 47, 49, 184

Nucleus of atom, 3

Objectivity of “becoming”, 94; of a picture, 107

Observer, attributes of, 15, 337

Odds, 301, 303

Official scientific attitude, 286, 334

Operator, 208

Orbit jumps of electron, 191, 196, 205, 215, 300, 312

Organisation, 68, 70, 104

Ought, 345

Oxygen and vegetation, 174

’s and ’s, 208, 223, 327

Pacific Ocean, 171

Particle, 202, 211, 218

Past, relative and absolute, 48

Pedantry, 340, 342

Permanence, 241

Personal aspect of spiritual world, 337

Phoenix complex, 85

Photoelectric effect, 187

Photon, 190

Physical time, 40

Picture and paint, 106

Picture of gravitation, 115, 138, 157

Plan, Nature’s, 27

Planck, M., 185

Plurality of worlds, 169

Pointer readings, 251

Ponderomotive force, 237

Porosity of matter, 1

Potential (gravitational), 261

Potential energy, 213

Potential gradient, 96

Pound sterling, relativity of, 26

Predestination, 293, 303

Predictability of events, 147, 228, 300, 307

Primary law, 66, 75, 98; insufficiency of, 107

Primary scheme of physics, 76, 129, 295

Principal curvature, 120, 139

Principia, 4

Principle of Correspondence, 196

Principle of detailed balancing, 80

Principle of indeterminacy, 220, 306

Probability, 216, 315

Proof and plausibility, 337

Proper-distance, 25

Proper-time, 37

Proportion, sense of, 341

Proton, 3

Psi ( ), 216, 305

Pure mathematician, 161, 337, 347

Purpose, 105

-numbers, 208, 270

Quantum, 184; size of, 200

Quantum laws, 193

Quantum numbers, 191, 205

Quest of the absolute, 26, 122; of science, 110, 287; of reality, 328

Quotations from Boswell, 326

Brooke, Rupert, 317

Clifford, W. K., 278

Dickens, 32

Einstein, A., 294

Hegel, 147

Huxley, T. H., 173

Kronecker, L., 246

Lamb, H., 316

Lewis Carroll, 28, 291, 344

Milton, 167

Newton, 111

Nursery Rhymes, 64, 70, 262

Omar Khayyam, 64, 293

O’Shaughnessy, A., 325

Russell, Bertrand, 160, 278

Quotations from (cont.)

Shakespeare, 21, 39, 83, 292, 330

Swift, 341

Whitehead, A. N., 145

Radiation pressure, 58

Random element, 64; measurement of, 74

Reality, meaning of, 282, 326

Really true, 34

Rectification of curves, 125

Rejuvenescence, theories of, 85, 169

Relata and relations, 230

Relativity of velocity, 10, 54, 59, 61; of space-frames, 21; of magnetic field, 22; of distance, 25; of pound sterling, 26; of Now (simultaneity), 46, 61; of acceleration, 129; of standard of length, 143

Religion, 194, 281, 288, 322, 324, 326, 333, 349

Retrospective symbols, 307, 308

Revolutions of scientific thought, 4, 352

Right frames of space, 18, 20

Roemer, O., 43

Rotating masses, break-up of, 176

Running down of universe, 63, 84

Russell, B., 160, 277, 278

Rutherford, E., 2, 327

Scale (measuring), 12, 18, 24, 134, 141

Schrödinger’s theory, 199, 210, 225, 305

Scientific and familiar worlds, xiii, 247, 324

Second law of thermodynamics, 74, 86

Secondary law, 75, 79, 98

Seen-now lines, 44, 47

Selection by mind, 239, 243, 264, 330

Self-comparison of space, 145

Sense-organs, 51, 96, 266, 329

Shadows, world of, xiv, 109

Shuffling, 63, 92, 184

Sidereal universe, 163

Signals, speed of, 57

Significances, 108, 329

Simultaneity, 49, 61

Singularities, 127

Sirius, Companion of, 203

de Sitter, W., 167

Slithy toves, 291

Solar system, origin of, 176

Solar system type of atom, 2, 190

Sorting, 93

Space, 14, 16, 51, 81, 137

Spasmodic moon, 226

Spatial relations, 50

Spectral lines, 205, 216; displacement of, 121, 166

Spherical curvature, radius of, 140

Spherical space, 82, 166, 289; radius of, 167

Spiral nebulae, 165

Spiritual world, 281, 288, 324, 349

Standard metre, 141

Stars, number of, 163; double, 175; evolution of, 176; white dwarfs, 203

States, 197, 301

Statistical laws, 244; mind’s interference with, 313

Statistics, 201, 300, 303

Stratification, 47

Stress, 129, 155, 262

Structure, 234, 277

Sub-aether, 211, 219

Subjective element in physics, 95, 241

Substance, ix, 273, 318

Success, physical basis of, 346

Sun, as a star, 164; age of, 169

Supernatural, 309, 348

Survey from within, 145, 321, 330

Sweepstake theory, 189

Symbolism in science, xiii, 209, 247, 269, 324

Synthetic method of physics, 249

Temperature, 71

Temporal relations, 50

Tensor, 257

Tensor calculus, 181

Thermodynamical equilibrium, 77

Thermodynamics, second law of, 66, 74, 86

Thermometer as entropy-clock, 99, 101

Thinking machine, 259

Thought, 258; laws of, 345

Time in physics, 36; time lived (proper-time), 40; dual recognition of, 51, 100; time’s arrow, 69; infinity of, 83; summary of conclusions, 101; time-triangles, 133; reality of, 275

Time-scale in astronomy, 167

Touch, sense of, 273

Track, longest, 125, 135, 148

Trade Union of matter, 126

Transcendental laws, 245

Traveller, time lived by, 39, 126, 135

Triangles in space and time, 133

Tug of gravitation, 115, 122

Undoing, 65

Unhappening, 94, 108

Uniformity, basis of, 145

Unknowable entities, 221, 308

Utopia, 265

Values, 243, 330

Vegetation on Mars, 173

Velocity, relativity of, 10; upper limit to, 56

Velocity through aether, 30, 32

Velocity of light, 46, 54

Venus, 170

Victorian physicist, ideals of, 209, 259

View-point, 92, 283

Void, 13, 137

Volition, 310

Watertight compartments, 194

Wave-group, 213, 217, 225

Wave-length, measurement of, 24

Wave-mechanics, 211

Wave-theory of matter, 202

Wavicle, 201

Wells, H. G., 67

White dwarfs, 203

Whitehead, A. N., 145, 249

Whittaker, E. T., 181

Winding up of universe, 83

World building, 230

World-lines, 253

Worm, four-dimensional, 42, 87, 92

Wright, W. H., 172

Wrong frames of reference, 116

X (Mr.), 262, 268

TRANSCRIBER’S NOTES

On page 32, the reference to Einstein has been replaced by Dickens as shown in the Index. This quote appears in “Martin Chuzzlewit” published in 1843.

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