described in great detail from different viewpoints. The analysis of the well-known
DOPPLER effect in Chap. 18 will bring surprising statements even for the physicist,
and in Chap. 19, we give an elementary description for the exact relativistic effect
of aberration.
Exact representations of physical context have their price: mathematics. I have
tried to write this book in such a manner that it can still be read, even when
mathematical equations are taken as granted and just left out. Then, again we do not
want to discuss anything that an interested reader cannot himself reproduce
mathematically. The frame of small mathematical pocketbooks of the likes of
BRONSTEIN/SEMENDJAJEW [1] will seldomly be breached. I have placed a few supplementary explanations in Chaps. 24–30 of the appendix. Here, it is once again the
paradox situations that find our interest when we conclusively turn to the tachyon
problem considered in a crystal lattice.
This book is thought of as a lecture for physicists, mathematicians and computer
scientists and concentrates on the students of these fields. It will also hopefully
reach a broad circle of interested readers from the fields of natural sciences and
philosophy. I personally hope that engineers will find this book invigorating.
I owe the inspiration for this theme to H. J. TREDER. I am much obliged to
H. F. GOENNER, E. KRÖNER and D. E. LIEBSCHER for extended discussions, and I am
indebted to J. STACHEL for drawing my attention to the history of the reciprocity
principle.
I want to record my gratitude to MR. C. SHERWOOD for his enormous work in a
primary formulation of the English text.
I would like to thank particularly MR. N. BEHRENT for imperative technical
installations without which the manuscript could not have been written.
Above all, I am deeply grateful to my wife who unbounded patiently read the
manuscript and gave me an invaluable list of corrections.
I express my gratitude to the Springer Publishing House, especially to
Dr. Loyola d’Silva for realising this book in the present revised version.
I would like to thank the Springer team very much for their understanding
cooperation.
Berlin, Germany
Helmut Günther
November 2019
viii
Preface
DOPPLER effect in Chap. 18 will bring surprising statements even for the physicist,
and in Chap. 19, we give an elementary description for the exact relativistic effect
of aberration.
Exact representations of physical context have their price: mathematics. I have
tried to write this book in such a manner that it can still be read, even when
mathematical equations are taken as granted and just left out. Then, again we do not
want to discuss anything that an interested reader cannot himself reproduce
mathematically. The frame of small mathematical pocketbooks of the likes of
BRONSTEIN/SEMENDJAJEW [1] will seldomly be breached. I have placed a few supplementary explanations in Chaps. 24–30 of the appendix. Here, it is once again the
paradox situations that find our interest when we conclusively turn to the tachyon
problem considered in a crystal lattice.
This book is thought of as a lecture for physicists, mathematicians and computer
scientists and concentrates on the students of these fields. It will also hopefully
reach a broad circle of interested readers from the fields of natural sciences and
philosophy. I personally hope that engineers will find this book invigorating.
I owe the inspiration for this theme to H. J. TREDER. I am much obliged to
H. F. GOENNER, E. KRÖNER and D. E. LIEBSCHER for extended discussions, and I am
indebted to J. STACHEL for drawing my attention to the history of the reciprocity
principle.
I want to record my gratitude to MR. C. SHERWOOD for his enormous work in a
primary formulation of the English text.
I would like to thank particularly MR. N. BEHRENT for imperative technical
installations without which the manuscript could not have been written.
Above all, I am deeply grateful to my wife who unbounded patiently read the
manuscript and gave me an invaluable list of corrections.
I express my gratitude to the Springer Publishing House, especially to
Dr. Loyola d’Silva for realising this book in the present revised version.
I would like to thank the Springer team very much for their understanding
cooperation.
Berlin, Germany
Helmut Günther
November 2019
viii
Preface