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The materials contained in this book correspond to the research that was started in 1973.

One might wonder why we should want to revise the chronology of ancient history today and base our revision on new empirico-statistical methods. It would be worthwhile to remind the reader that in the XVI-XVII century chronology was considered to be a subdivision of mathematics, prior to having gradually transformed into a field of historical studies considered complete in general, and only requiring minor eventual clarifications leaving the actual edifice of chronology intact. And yet we discover that the contemporary official version of the chronology of ancient history is full of prodigious contradictions and inconsistencies which deserve an attempt of partial clarification and rectification based on the methods of modern statistics at the very least.

One often hears the question about what could possibly motivate a mathematician into wanting to study a seemingly historical problem. The answer is as follows. My primary interests are those of a professional mathematician; they are thus rather distant from historical and chronological issues. However, in the early 70's, namely, in 1972-1973,1 had to deal with the dates of ancient eclipses during my studies of one of the key problems in celestial mechanics (see Chroni, Chapter 2 for more details). It had to do with computing the so-called coefficient D " in the Theory of Lunar Motion. The parameter characterizes acceleration and is computed as a time function on a large historical interval. The computations were performed by Robert Newton, a contemporary American astronomer and astrophysicist. Upon their completion, he had made the unexpected discovery of parameter D " behaving in the most peculiar manner, namely, performing an inex plicable leap on the interval ofVIII-X century a.d. This leap cannot be explained by conventional gravitational theory, and is improbable to the extent of making Robert Newton invent mysterious "extra-gravitational forces" in the Earth-Moon system that suspiciously refuse to manifest in any other way.

This inexplicable effect attracted the professional interest of the mathematician in me. The verification of R. Newton's work showed that his computations conformed to the highest scientific standards and contained no errors. This made the gap in the diagram even more enigmatic. A prolonged pondering of this topic led me to the idea of checking the exactitude of datings of the ancient eclipses that the D" parameter computations were based upon since they implicitly affected the result. This idea turned out to have been unprecedented for the scientists that had dealt with the problem previously. Robert Newton himself, an eminent expert in the field of astronavigation and theoretical dynamics of natural and artificial celestial bodies, trusted the ancient historical dates completely and attempted to explain the leap in the behaviour of parameter D" from within his professional paradigm. That is to say, without the merest hint of the very idea of questioning ancient chronology. I was more fortunate in that respect: I found out that N. A. Morozov, a renowned Russian scientist and encyclopedist, had analyzed the datings of ancient eclipses and claimed most of them to be in need of revision. This happened as early as the beginning of the XX century. He offered new datings for a large number of eclipses that were considerably more recent. Having obtained his tables, I have repeated Newton's calculations using Morozov's dates in lieu of the consensual ones as input data. I was amazed to discover that the D" graph altered instantly and drastically, having transformed into a rather even horizontal line that concurred with the conventional gravitational theory perfectly. The enigmatic leap disappeared along with the necessity to invent fictitious "extra-gravitational forces".

The satisfaction from having finished a body of scientific work successfully was accompanied by a sudden awareness of a very knotty point arising in this respect, one of great peculiarity and paramount importance. Namely, that of whether the consensual chronology of ancient history was to be trusted at all.

It was true that the new datings of many ancient eclipses offered by N. A. Morozov led to the equalization of the D" function diagram, the elimination of a strange contradiction from celestial mechanics, and to the discovery of the conformance of an important parameter in the theory of lunar motion to perfectly normal patterns of behaviour.

It was equally true, however, that fitting something like the idea that the three ancient eclipses described in the History of the prominent ancient author Thu-cydides took place in the XI or even the XII century a.d. and not in the V b.c. as it is believed today into one's perception proved quite impossible. The issue here is that the dating of the "triad of Thucydides" can only correspond to these two astronomically precise solutions (see Chroni, Chapter 2). The inevitable question that arose in this respect was that of which discipline had been correct in this case, astronomy or contemporary chronology.

I had to address several distinguished historians with this quandary, including the ones from our very own Moscow State University. Their initial reaction was that of polite restraint. According to them, there was no point whatsoever in questioning the consensual chronology of ancient history since all the dates in question can easily be verified by any textbook on the subject and have been proved veracious a long time ago. The fact that the diagram of some parameter D" started to look natural after revised calculations based on some flimsy new chronology was hardly of any relevance. Moreover, it would perhaps be better for the mathematicians to occupy themselves with mathematics and leave history to historians. The same sentiment was expressed to me by L. N. Gumilyov. I refrained from arguing with him.

The reply offered by the historians failed to satisfy me. Firstly due to the fact that chronology, being a problem of calculating dates, bears immediate relevance to applied mathematics. This includes astronomical calculations, the verification of their precision, calendarían problems, the interpretation of old writings based on their frequency characteristics etc, and may present an extensive number of complex issues. Secondly, becoming familiar with the contemporary chronological tables soon proved that the ancient dates were quoted rather arbitrarily, with hardly any references at all given. At best, the first chronological tables get a quote - however, those were compiled relatively recently, in the XVI-XVII century. Delving deeper into the problem showed me that the version of chronology that we agree upon today wasn't the only one available historically. I found out that eminent scientists in various countries expressed the idea that ancient datings required a radical revision. I realized that the answer was the furthest thing from simple, and that shedding some light on the issue would require plenty of time and effort. This is how 1973 saw me commencing work in this direction, aided by colleagues - most of them professional mathematicians and physicists.

The research progressed rapidly. Over the years that passed since 1973 many points have been clarified and a great volume of interesting information obtained. A lot of it was published by myself and my colleagues in a number of books and scientific articles quoted in the literature list. The first related publication saw light in 1980. It has to be noted that over the course of time our opinions on certain chronological problems have changed. Said alterations never concerned the general picture, but occasionally led to significant shifts in our perception of details. Today we feel that the empirico-statistical methods that our chronological research was based upon need to be formulated and coordinated again. This is how the books Chroni and Chroní came to existence.

Chroni is based on the first book I wrote on the subject - Methods of Statistical Analysis of Narrative Texts and their Application to Chronology (Identifying and Dating Dependent Texts, The Statistical Chronology of Ancient History, The Statistics of Ancient Reports of Astronomical Events). It was published by the Moscow State University in 1990; a further revised and extended edition appeared in 1996 under the title

Methods of Mathematical Analysis of Historical Texts and their Applications to Chronology (Moscow, Nauka Publishing, 1996). The present book contains the entire material in a revised, extended, and coordinated form. Chron2 contains an extended version of two of my books: Global Chronology (Moscow, MSU, 1993) and The New Chronology of Greece: The Mediaeval Age of Classics (Moscow, MSU, 1996).

Certain important results that get briefly mentioned in Chroni and Chron2 were achieved with the aid of outstanding scientists - Professor V. V. Kalash-nikov, Doctor of Physical and Mathematical Sciences (Moscow State University and the National Research Institute for System Studies, Moscow, Russia), and the Senior Scientific Associate G. V. Nosovskiy, Candidate of Physical and Mathematical Sciences (the Department of Mathematics and Mechanics, Moscow State University) - experts in fields of probability theory studies and mathematical statistics. The formation of the author's concept of chronology is largely a result of having collaborated with V. V. Kalashnikov and G. V. Nosovskiy for many years, and I would like to express my heartfelt gratitude to both of them.

I would like to state explicitly that over the period of time from 1981 and until presently our collaboration with G. V. Nosovskiy has been constant and very fruitful, as the two of us have published a number of what we consider to be milestones of the new chronology. The formulation of the main principles of reconstructing modern chronology and mediaeval history is a direct result of the work we have done together over these years, which adds particular importance to this period.

Let us briefly describe the structure of Chroni and Chron2. The consensual versions of chronology, as well as those of ancient and mediaeval history, had evolved completely by XVII century AD and appear to contain major flaws. Many prominent scientists have been aware of this and have discussed it for quite a while (see Chroni, Chapter 1). However, the creation of a new concept of history that would be free from inconsistencies proved a truly formidable task.

A group of mathematicians, most of them from the Moscow State University, commenced research on the problem in 1974. The results were most captivating, and got covered in a number of monographs (see bibliography) and several dozens of publications in scientific periodicals. Let us emphasize that the new concept of chronology is based primarily on applying methods of modern statistics to the analysis of historical sources and extensive cybernetic computations.

The main subject of the books Chroni and Chron2 is the research of new empirico-statistical methods of finding dependencies in historical texts and derived procedures of dating historical events.

The task of recognizing the difference between dependent and independent texts is really that of identifying images. One encounters it in various scientific paradigms including applied statistics, linguistics, physics, genetics, historical source studies etc. Finding dependent texts is of great utility as applied to studying historical sources where they may be traced to a common original that had been lost before our time. It is also very useful to be able to tell which texts are independent, or derived from non-correlating sources.

The very concept of text can be interpreted in a wide variety of ways. Any sequence of symbols, signals, and codes can be referred to as "text" - the sequences of genetic code in DNA chains, for instance. The common problem of finding dependent texts is formulated as follows: one has to find "similar fragments" in long signal sequences - that is, fragments of text that duplicate one another.

There is a multitude of methods for recognition of dependencies and identifying "similar images" available today. We offer some new empirico-statistical methods. They might be of use in analyzing historical chronicles, manuscripts, and archive materials as well as in finding the so-called homologous fragments in texts of a significantly different, more general nature.

This book is divided into several parts or topics for the reader's convenience. This should help us to securely differentiate between proven statistical facts and hypotheses. At the same time, one has to state that such topical division is rather artificial since the topics really have lots and lots of points in common.

Solving the problem of statistical recognition of dependent and independent historical texts. Formulating new statistical models and hypotheses, as well as verifying them with extensive experimental material of actual historical chronicles. It turns out we're able to acquire general verifications of the models offered. In other words, we have managed to discover interesting statistical tendencies that define the evolution of textual information over a period of time, such as what really happens to the data contained in the manuscripts during their duplication etc.

Having discovered these tendencies is our first result.

The discovered trends are used as basis for the formulation of new methods of dating the events described in the chronicles. This is achieved by statistical comparison of the chronicles and documents pertinent to the research with the ones possessing confirmed datings. The methods are verified by a large body of correctly dated materials. Their application to the chronicles and documents describing the events of the XVII-XX century appears to confirm the efficacy of these methods. Namely, the statistical datings that we got as a result of our research concur with the ones confirmed by traditional methods. The a priori dependent chronicle pairs turn out to be dependent statistically with the use of our methods. The ones that are independent a priori turn out to be independent statistically as well.

Experimental examination of veraciously dated chronicles describing the events of XVII-XX century a.d. led to the discovery of natural numeral coefficients that allow us to differentiate between a priori dependent chronicles and a priori independent ones in 1974-1979. Basically, these numbers are rather small for a priori dependent pairs and rather large for a priori independent ones. This means that nowadays we can compare arbitrary chronicles X and Y and find out whether their proximity coefficients are within the zone that refers to dependent chronicles or the one that refers to independent ones. It is needless to say that the boundaries of these zones were found experimentally.

The discovery of the hidden dependencies that define the evolution of information in rather large historical chronicles as well as the development and experimental verification of the new dating methods (currently comprising a total of eight) - is the second principal result of our work. The datings achieved by our methods cannot be regarded as finite, so we shall refer to them as "statistical datings" and nothing more. We shall occasionally drop the word "statistical" for the sake of brevity. The above is to say that we regard the empirico-statistical dates that we computed to be a re sult of applying statistical methods to historical materials. Nevertheless, the concurrence of these statistical datings with the ones verified a priori that we have discovered in the interval of XVII-XX century a.d. implies that our results are of an objective nature.

It can also be referred to as critical We analyze the traditional datings of events that occurred in ancient and mediaeval Europe, Asia, the Mediterranean countries, Egypt, and America. Bearing the reader's convenience in mind, we have collected various materials here that can be found scattered across all kinds of scientific literature and are known to specialists of various profiles, but often remain beyond the awareness of the general public. These materials illustrate serious difficulties that are presently inherent to the problem of scientific dating of historical events preceding the XIV century a.d.

We shall inform the reader of the fundamental research conducted by a prominent Russian scientist and encyclopedist Nikolai Aleksandrovich Morozov (1854-1946), honorary member of the USSR Academy of Sciences, who was the first to have formulated the problem of confirming the ancient and mediaeval chronology with the means offered by natural sciences in its entirety in addition to having collected a great volume of critical materials and suggested a number of innovative hypotheses.

We shall also tell of the chronological research conducted by Sir Isaac Newton, who questioned many datings of historical events, and several other representatives of the critical current in history and chronology. We quote from eminent authorities in the fields of archeology, source studies, and numismatics, and a variety of other well-known scientists, and extensively compare different points of view so that the readers could develop their own opinions of the problems in question.

The primary application of novel empirico-statis-tical methods is the analysis of dates of historical occurrences. This is why we were forced to analyze as many dating versions of events in question as we could find in this day and age. The issue here is that various ancient and mediaeval chronicles frequently demonstrate significant discrepancies in dating certain important events. Attempting to navigate in this chaos of mediaeval versions, we devote special attention to those reflected in the chronicles of XV-XVI century a.d. due to the fact that the chronologists of that epoch were temporally closer to the events described than we are. Subsequent chronological versions of XVII-XX century are often revisions of derivative material, obscuring and heavily distorting the original mediaeval meaning.

Starting with XVI-XVII century a.d., the version of the chronology of ancient history that was created in the works of prominent mediaeval chronologists J. Sca-liger and D. Petavius «rigidifies». The main points of the official version of contemporary chronology coincide with those of Scaliger and Petavius. Hence we are to use the term "Scaligerian chronology" and refer to the consensual datings of ancient events as "Scaligerian datings".

We presume the reader to be more or less familiar with the traditional - Scaligerian de facto - chronology concepts familiar from school and university. We shall thus refrain from quoting the Scaligerian concept in detail, considering this knowledge to be in public domain. On the contrary, we shall be making a special emphasis on its inconsistencies. Further on, we shall give a brief analysis of traditional dating methods: datings based on historical sources, archaeological datings, radiocarbon datings, dendrochronology etc. It is expedient for allowing the reader evaluate the veracity and the precision of these methods as well as their application areas.

In 1975-1979 the author compiled a table that received the name of a "Global Chronological Map", which may be referred to as GCM for the sake of brevity. It maybe regarded as a rather complete "Scaligerian textbook" of ancient and mediaeval history. All the principal events of ancient history with their dates according to Scaliger (the ones used today), lists of main historical characters etc were placed along the horizontal axis of time. All the key original sources that survived and contained descriptions of contemporary life were quoted for each epoch. The resulting chronological map contains tens of thousands of names and dates. The physical space it covers amounts to several dozens of square metres. This map proved a priceless encyclopedia and guide for the edifice of contemporary - Scaligerian de facto - ancient and mediaeval chronology. Due to the large volume of the material, it made its way into Chroni and Chron2 with many expurgations, as small tables and diagrams.

In 1974-1979, the entire arsenal of the new em-pirico-statistical dating methods was applied to the factual material collected on the map of the Scaligerian chronology. This was done by inspecting all manner of pairs of historical epochs and the key original sources pertinent to them. These chronicles were processed statistically and then compared in pairs, and eventually the dependence coefficients of compared historical texts were computed.

If such coefficients for the two compared chronicles X and Y proved to belong to the same numeric order as those of the a priori dependent chronicles from the "certainty interval" of XVII-XX century a.d., we called them statistically dependent. In this case, both correlating epochs (temporal periods) were marked on the map with the same arbitrarily chosen symbol such as the letter R.

If the proximity coefficient (or measure) of the two compared chronicles X and Y proved to belong to the same numeric order as those of the a priori independent chronicles from the "certainty interval" of XVII-XX century a.d., we called them statistically independent. In this case, both correlating epochs (temporal periods) were marked on the map with different arbitrarily chosen symbols such as the letters N and S.

As a result of statistical research, pairs of statistically dependent chronicles and epochs pertinent to them were found and marked in the "Scaligerian history textbook". We called such chronicles and arrays of events they described statistical duplicates.

We discovered that the results of using different empirico-statistical methods correlate very well. Namely, the chronicle pairs "statistically similar" according to one method turned out to be "statistically similar" according to all the others (if such methods are at all applicable to the chronicles in question). This result correlation is perceived as important.

It is vital that our empirico-statistical methods have found no unforeseen duplicates, or chronicles whose dependent nature we weren't aware of a priori, on the interval of XVII-XX century a.d.

At the same time, the same methods found a large number of new statistically similar chronicles (duplicates) that were previously considered underived, independent in all senses of the word and ascribed by contemporary historians to various epochs before the XVII century a.d., preceding the XI century in particular. The compilation of the Scaligerian chronological map and the discovery of statistical duplicates therein amount to the third principal result of this book.

The fourth principal result is the division of the Scaligerian chronological map into the sum of four chronicle layers discovered by the author. These chronicle layers are nearly identical, but they are shifted in time in relation to each other. These shifts amount to significant amounts of time and their correspondent chronicle layers may be regarded as "short chronicles" of sorts. A very rough description of "The Contemporary Scaligerian Textbook of Ancient and Mediaeval History" would be calling it a sum, or a collage, of four copies of the same short chronicle, statistically speaking.

A criticism of the Scaligerian chronology and the description of the four statistical results mentioned above comprise the main part of the present book. Its other parts are of a hypothetical and interpretational nature. They aid the formulation of a possible answer to the naturally occurring question about the meaning of all the discovered empirico-statistical facts, and what the history was "really like".

This topic can be called interpretational. This is where we offer the hypotheses that may explain the trends we have discovered and the reasons why the "Scaligerian textbook of history" might contain duplicates. Neither this material, nor the "textbook of truncated history" that we offer are to be considered finite in any way. They may only be regarded as offering a possible version that requires a great body of work to be conducted by experts of various profiles, and maybe even special research facilities.

The author's position on a significant number of points raised in Chroni and Chron2 has formed as a result of interaction, collective research, and extensive discussions with specialists from a wide variety of fields, most notably, the field of mathematics and fellow mathematicians. Specifically, the new statistical models and the results we have achieved have all been presented and discussed over the span of the past twenty-plus years:

the Fourth and the Fifth International Probability Theory and Mathematical Statistics Conferences in Vilnius, Lithuania, 1981 and 1985;

the First International Bernoulli Society for Mathematical Statistics and Probability Theory Congress in Tashkent, Uzbekistan, 1986;

the Multi-dimensional Statistical Analysis and Probabilistic Modelling of Real-Time Processes seminar by Prof. S.A. Aivazyan at the Central Institute of Economics and Mathematics of the USSR Academy of Sciences;

several national seminars on Stochastic Model Continuity and Stability by Prof. V. M. Zolotaryov (The V. A. Steklov Mathematics Institute of the Russian Academy of Sciences) and Prof. V. V. Kalashnikov (The National Research Institute for System Studies);

Controllable Processes and Martingales seminars by Prof. A. N. Shiryaev (V. A. Steklov Mathematics Institute of the Russian Academy of Sciences) and Prof. N. V. Krylov (Department of Mathematics and Mechanics, Moscow State University);

Academician V. S. Vladimirov's seminar at the V. A. Steklov Mathematics Institute of the Russian Academy of Sciences;

Academician O. A. Oleinik's seminar at the Department of Mathematics and Mechanics, Moscow State University;

Academician A. A. Samarsky's seminar at the USSR National Mathematical Modelling Centre;

The author would like to give thanks to all of the participants of the discussion, and the members of the audience.

The author also expresses his gratitude to the following members of the Russian Academy of Sciences for their kind support and collaboration: Academician E. P. Velikhov, Academician Y. V. Prokhorov, Academician I. M. Makarov, Academician I. D. Kovalchenko, Academician A. A. Samarsky, and Academician V. V. Kozlov, as well as Corresponding Member S. V. Yab-lonsky.

Thanks to fellow mathematicians, as well as mechanicians, physicists, chemists, and historians, most of them members of the Moscow State University faculty: Prof. V. V. Alexandrov, Prof. V. V. Belokourov, Prof.

N. V. Brandt, Prof. Y. V. Chepurin, Prof. V. G. Dyomin, Cand. Sei. M. I. Grinchouk, Prof. N. N. Kolesnikov, Prof. V. V. Kozlov, member of the Russian Academy of Sciences, Prof. N. V. Krylov, Prof. A. S. Mishchenko, Prof. V. V. Moshchalkov, Prof. Y. M. Nikishin, Prof. V. A. Ouspensky, Prof. V. I. Piterbarg, Prof. M. M. Postnikov, Prof. Y. P. Solovyov, Prof. Y. V. Tatarinov, and Prof. V. I. Trukhin, as well as Prof. V. M. Zolotaryov and Prof. A. N. Shiryaev, Corresponding Member of the Russian Academy of Sciences, both members of the V. A. Steklov Mathematics Institute of the Russian Academy of Sciences; faculty members of the National Research Institute for System Studies of the Russian Academy of Sciences, Prof. V. V. Kalashnikov and Prof. V. V. Fyodorov; faculty member of the Central Institute Of Economics and Mathematics of the Russian Academy of Sciences, Prof. Y. M. Kabanov; faculty member of the National Institute of Scientific Research in Information Transfer Problems, Prof. A. V. Chernavsky; faculty member of the Moscow Oil and Gas Institute, Prof. I. A. Volodin; Prof. S. V. Matveyev, Chelyabinsk University Corresponding Member of the Russian Academy of Sciences; faculty member of the Kiev University, M. V. Mikhalevich, and Prof. V. V. Sharko, staff member of the Ukrainian Academy of Sciences Institute of Mathematics.

The author would like to express his heartfelt gratitude to all of them, along with S. N. Gonshorek for his collaboration and support.

Over various stages the participants of the New Chronology project included the representatives of a variety of scientific paradigms. In their midst: V. V. Bandourkin and Prof. D. Blagoevic (Belgrade University, Belgrade, Yugoslavia), Cand. Phys. Math. Sei. B. E. Brodsky, T. G. Cherniyenko, Y. S. Chernyshov, Prof. B. S. Darkhovski, Prof. I. V. Davidenko, D. V. De-nisenko, Cand. Phys. Math. Sei. T. N. Fomenko, V. P. Fomenko, Cand. Tech. Sei. T. G. Fomenko, I. A. Gol-ubev, N. Gostyev, Cand. Phys. Math. Sei. M. I. Grinchouk, Prof. V. D. Gruba, I. Y. Kalinichenko, Cand. Phys. Math. Sei. N. S. Kellin, G. A. Khroustaliov, Prof. A. Lipkovsky (Belgrade University, Belgrade, Yugoslavia), Prof. A. S. Mishchenko, N. A. Milyakh, A. V. Ner-linsky, Cand. Phys. Math. Sei. I. N. Nikitin, Prof. E. M. Nikishin, M. G. Nikonova, A. A. Onishchenko, Dr. Guillermo Pena Feria (Cuba, Spain), M. E. Polyakov, S. N. Popov, Prof. M. M. Postnikov, N. Z. Rakhimov,

A. Y. Ryabtsev, D. K. Salakhutdinov, Prof. Y. N. Ser-giyenko, Prof. Jordan Tabov (The Bulgarian Academy of Sciences Institute of Mathematics, Sofia, Bulgaria), Y. N. Torkhov, and Y. A. Yeliseyev.

The author would also like to thank Prof. V. K. Abal-akin, V. V. Bandourkin, A. V. Bogdanov, M. A. Bocharov, Prof. R. L. Dobroushin, Prof. E. Y. Gabovitsch, Prof. M. I. Grossman, Prof. A. O. Ivanov, Cand. Phys. Math. Sci. V. Kossenko, Prof. Y. M. Lotman, Dr. Christoph Marx (Switzerland), Prof. A. A. Polikarpov, Prof. V. D. Polikarpov, Cand. Hist. Sci. S. A. Poustovoyt, Prof. M. L. Remnyova, Prof. S. N. Sokolov, and Prof. A. A. Touzhilin, for valuable discussions and insights.

Many thanks for the kind assistance of Professor Peter Gruber (The Technical University, Vienna, Austria) who proved to be most valuable indeed.

The author is indebted to all those who helped with statistical work on original sources, namely N. S. Kel-lin, P. A. Pouchkov, M. Zamaletdinov, A. A. Makarov, N. G. Chebotaryev, E. T. Kouzmenko, V. V. Bashe, B. A. Silberhof, M. Y. Stein, V. P. Fomenko, Cand. Tech. Sci. T. G. Fomenko, and Cand. Phys. Math. Sci. T. N. Fomenko.

Cand. Phys. Math. Sci. N. S. Kellin, Cand. Phys. Math. Sci. N. Y. Rives, Cand. Phys. Math. Sci. I. S. Shi-ganov, P. A. Pouchkov, M. Zamaletdinov, Cand. Phys. Math. Sci. S. Y. Zholkov, and A. V. Kolbasov have all provided much appreciated help with the creation of algorithms and programs, as well as statistical work on the material.

The author would further like to thank T. G. Zakha-rova, Director of the N. A. Morozov Museum at the Institute for Biology of Inland Water, RAS, the entire staff of the museum, as well as V. B. Biryukov for the exceptionally valuable help in archive studies related to N. A. Morozov and his scientific output they provided.

Starting in 1998, the development of the new chronology was aided by a number of specialists from a variety of unrelated fields and adhering to different cognitive paradigms. The author is grateful to the world chess champion G. K. Kasparov for the materials and the valuable discussion that he provided, to the prominent writer, prominent logician and sociologist, A. A. Zinoviev, for our fruitful and important debates. My thanks also go to the IAELPS Academician M. K. Mous-sin, a merited employee of the oil and gas industry, and all the members of his family who actively took part in the "New Chronology" project. Special thanks to I. R. Moussina for her help in compilation of the Dictionary of Interlingual Parallelisms. The project development was greatly helped by A. V. Podoinitsyn, the economist, and Prof. I. V. Davidenko, the geologist.

Disputes with various historians, philologists, and linguists provided for a significant influence on the development of the new chronology.

The author is greatly beholden to the head of the Philological Department of the Moscow State University, Prof. M. L. Remnyova, for her kind assistance in allowing a reading of a special course in chronological problems and new mathematical methods in history and linguistics, which was read by G. V. Nosov-skiy and the author, at the Philological Department of MSU in 1998. We would like to thank the Professor of the Philological Department, A. A. Polikarpov, who supervises the Laboratory of Computer Methods in Linguistics for his help in organizing this course and valuable discussions.

Thanks to the Freeborn Russia radio station (Moscow) for the informational support of the New Chronology project in 1998-1999, namely, a large series of special weeklies dedicated to our research. Y. S. Cher-nyshov brilliantly presented these programs. The second cycle of these programs appeared in 2001.

The author expresses gratitude to the dozens and dozens of people in complex chronological research, for their help and support.

A fond, special thanks to the author's parents, V. P. Fomenko and T. G. Fomenko, and his wife, T. N. Fomenko, Candidate of Physical and Mathematical Sciences, for the great and invaluable help in processing statistical materials and for their steady, unswerving support during all the years of robust and complex development of the new chronology.

I would like to re-emphasize that over the last couple of years our research has been getting active support of A. Zinoviev, the prominent thinker, logician, sociologist and writer. His support is all the more valuable to us since the period when it is being provided is that of the utmost controversy and difficulty in what concerns the acceptance of the New Chronology by the community of scientists. A. Zinoviev had pointed out the mechanisms used for the falsification of recent history (the XIX-XX century). His concept of "virtual re ality" - the one created and deliberately planted for the distortion of one's perception of reality and the creation of "the necessary myth of the days of yore" concurs well with the results of our research which have helped to remove the veil obscuring the creation of the Scaligerian version of history in the XVI-XVIII century. Many of A. Zinoviev's ideas concerning the necessity of introducing the methods of modern constructive logic (including the logical methods created by himself) into sociology and history gain paramount actuality nowadays. The actual idea of translating of our seven-volume work into foreign languages for increasing the involvement of foreign scientists into the discussion of ancient chronology, as well as the organizational initiative, belong to none other but him. We are most grateful to A. Zinoviev for his support and the numerous scientific disputes covering a great scope of issues including those relevant to chronology. We consider it a great honour and privilege to be able to commune with one of the most eminent thinkers of the XX-XXI century.

The present edition of the seven volumes of Chronology only became feasible due to the creation of a special project for the translation and publication of our works on chronology by Youri Filippov. One has to emphasize that the translation of such a great bulk of complex scientific material is a most grandiose endeavour per se. We would like to express our sincere gratitude to Y. N. Filippov for the gigantic amount of labour invested, and also to the translators and editors for their hard and highly professional work.

The book is dedicated to the memory of Nikolai Aleksandrovich Morozov, brilliant scientist, encyclopedist, and author of the most profound œuvres on chemistry, physics, mathematics, astronomy, and history. He was the first to have fully formulated the problem of finding scientific basis for ancient and mediaeval chronology using natural sciences, and obtaining fundamental results in this direction.

The author would like to express the wish for this seven-volume edition to provide an impetus for the development of new empirico-statistical methods of studying historical texts so that the problems of ancient chronology can be solved in their entirety.

A. T. Fomenko, March 2002

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