Karl Svozil

Unidentified phenomena in space, in the Earth's atmosphere, and in waters are too important to leave their exploration to the military and scientific laypersons. Their proper scientific study is important for a variety of reasons; in particular, scientists and the public at large need to know the basic facts, to be informed about the way evidence is recorded, and to understand the difference been reliable evidence and fiction, as well as between plausible explanations and fantasy. With this objective, the book surveys the history of UFO observations, the variety of recorded phenomena, and recounts the efforts of investigative commissions and their published findings. Although wild rumors are demystified in the process, this is not an exercise in rumor-bashing. An open and at the same time critical mindset is the key. Many narratives and hypothesis appear implausible relative to our present state of knowledge; but this alone should not lead to their outright exclusion. Thus the author also pays attention to UFO sightings that have so far eluded explanation in terms of known physics or meteorology. Here the reader will encounter some of the more speculative but scientifically tenable proposals, for example, relating to sudden zigzag motion without apparent inertia or recognizable propulsion, yet always with a clear guide to their plausibility. Last but not least, the book outlines plans and suggestions for future research capable of revealing the existence and intentions of extraterrestrial intelligences, outer-space engineers, or technologies so far known only from science fiction.

Unidentified Aerial Phenomena: Observations, Explanations and Speculations

UFOs

Recent findings in the computer sciences, discrete mathematics, formal logics and metamathematics have opened up a royal road for the investigation of undecidability and randomness in physics. A translation of these formal concepts yields a fresh look into diverse features of physical modelling such as quantum complementarity and the measurement problem, but also stipulates questions related to the necessity of the assumption of continua.Conversely, any computer may be perceived as a physical system: not only in the immediate sense of the physical properties of its hardware. Computers are a medium to virtual realities. The foreseeable importance of such virtual realities stimulates the investigation of an ?inner description?, a ?virtual physics? of these universes of computation. Indeed, one may consider our own universe as just one particular realisation of an enormous number of virtual realities, most of them awaiting discovery.One motive of this book is the recognition that what is often referred to as ?randomness? in physics might actually be a signature of undecidability for systems whose evolution is computable on a step-by-step basis. To give a flavour of the type of questions envisaged: Consider an arbitrary algorithmic system which is computable on a step-by-step basis. Then it is in general impossible to specify a second algorithmic procedure, including itself, which, by experimental input-output analysis, is capable of finding the deterministic law of the first system. But even if such a law is specified beforehand, it is in general impossible to predict the system behaviour in the ?distant future?. In other words: no ?speedup? or ?computational shortcut? is available. In this approach, classical paradoxes can be formally translated into no-go theorems concerning intrinsic physical perception.It is suggested that complementarity can be modelled by experiments on finite automata, where measurements of one observable of the automaton destroys the possibility to measure another observable of the same automaton and it vice versa.Besides undecidability, a great part of the book is dedicated to a formal definition of randomness and entropy measures based on algorithmic information theory.

Randomness & Undecidability in Physics

Andrei Khrennikov

The last few years have been characterized by a tremendous development of quantum information and probability and their applications, including quantum computing, quantum cryptography, and quantum random generators. In spite of the successful development of quantum technology, its foundational basis is still not concrete and contains a few sandy and shaky slices. Quantum random generators are one of the most promising outputs of the recent quantum information revolution. Therefore, it is very important to reconsider the foundational basis of this project, starting with the notion of irreducible quantum randomness. Quantum probabilities present a powerful tool to model uncertainty. Interpretations of quantum probability and foundational meaning of its basic tools, starting with the Born rule, are among the topics which will be covered by this issue. Recently, quantum probability has started to play an important role in a few areas of research outside quantum physics—in particular, quantum probabilistic treatment of problems of theory of decision making under uncertainty. Such studies are also among the topics of this issue.

Karl Svozil

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