The book is based on the author's PhD thesis, which deals with the concept of time in quantum gravity and its relevance for the physics of the early Universe. It presents a consistent and complete new relational formulation of quantum gravity (more specifically, of quantum mechanics models with diffeomorphism invariance), which is applied to potentially observable cosmological effects. The work provides answers to the following questions: How can the dynamics of quantum states of matter and geometry be defined in a diffeomorphism-invariant way? What is the relevant space of physical states and which operators act on it? How are the quantum states related to probabilities in the absence of a preferred time? The answers can provide a further part of the route to constructing a fundamental theory of quantum gravity. The book is well-suited to graduate students as well as professional researchers in the fields of general relativity and gravitation, cosmology, and quantum foundations.
The book is based on the author's PhD thesis, which deals with the concept of time in quantum gravity and its relevance for the physics of the early Universe. It presents a consistent and complete new relational formulation of quantum gravity (more specifically, of quantum mechanics models with diffeomorphism invariance), which is applied to potentially observable cosmological effects. The work provides answers to the following questions: How can the dynamics of quantum states of matter and geometry be defined in a diffeomorphism-invariant way? What is the relevant space of physical states and which operators act on it? How are the quantum states related to probabilities in the absence of a preferred time? The answers can provide a further part of the route to constructing a fundamental theory of quantum gravity. The book is well-suited to graduate students as well as professional researchers in the fields of general relativity and gravitation, cosmology, and quantum foundations.
Found in the Codex Atlanticus of Leonardo da Vinci's writings and drawings, 'The Prophecies' are a collection of enigmatic divinatory pronouncements, some punning and playful, others dire and ominous. While the author's intentions behind these utterances are unclear, they clearly attest to the artist's fevered and troubled imagination and offer a glimpse into a world very similar to that depicted in his lost painting The Battle of Anghiari.This volume also contains a further selection of Leonardo da Vinci's fragmentary writings, in the form of fables and aphorisms. Taken together, these pieces provide an invaluable insight into the thought processes of one of the Renaissance's most productive minds.
More than fifteen hundred extracts containing the Renaissance genius' maxims, prophecies, fables, letters, and brilliant observations in architecture, painting, physiology, geography, and other fields
The book begins with Prophecies, followed by the Fables on animals, on lifeless objects, on plants, and the Studies on the Life and Habits of Animals, in which Leonardo presents a curious sequence of animals and their description. It ends with the Jests and Tales and the Final Prophecies. Among these delightful and amusing writings, we find satires, fables, aphorisms, anecdotes, prophetic sayings, and enigmatic statements, ingeniously created or reproduced by the unique mind of Leonardo da Vinci.
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