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Studies on quantum field theory, including a study based on the physics of graphene.

Quantum field theory. --- Heisenberg uncertainty principle. --- Graphene. --- Polycyclic aromatic hydrocarbons --- Indeterminancy principle --- Uncertainty principle --- Quantum theory --- Relativistic quantum field theory --- Field theory (Physics) --- Relativity (Physics)

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Written by philosophers, cosmologists, and physicists, this collection of essays deals with causality, which is a core issue for both science and philosophy. Readers will learn about different types of causality in complex systems and about new perspectives on this issue based on physical and cosmological considerations. In addition, the book includes essays pertaining to the problem of causality in ancient Greek philosophy, and to the problem of God's relation to the causal structures of nature viewed in the light of contemporary physics and cosmology.

Causality (Physics) --- Cosmology. --- Astronomy --- Deism --- Metaphysics --- Causality --- Heisenberg uncertainty principle --- Nuclear physics --- Physics --- Quantum theory --- Philosophy

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Causality and dispersion relations

Causality (Physics). --- Dispersion relations. --- Dispersion relations. Causality (Physics) Potential scattering. --- Potential scattering. --- Nuclear Physics --- Physics --- Physical Sciences & Mathematics --- Causality (Physics) --- Causality --- Nuclear physics --- Quantum theory --- Heisenberg uncertainty principle --- Philosophy --- Dispersion relations --- Potential scattering

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Quantum mechanics, discovered by Werner Heisenberg and Erwin Schrödinger in 1925-1926, is famous for its radical implications for our conception of physics and for our view of human knowledge in general. While these implications have been seen as scientifically productive and intellectually liberating to some, Niels Bohr and Heisenberg, among them, they have been troublesome to many others, including Schrödinger and, most famously, Albert Einstein. The situation led to the intense debate that started in the wake of its discovery and has continued into our own time, with no end appearing to be in sight. Epistemology and Probability aims to contribute to our understanding of quantum mechanics and of the reasons for its extraordinary impact by reconsidering, under the rubric of "nonclassical epistemology," the nature of epistemology and probability, and their relationships in quantum theory. The book brings together the thought of the three figures most responsible for the rise of quantum mechanics—Heisenberg and Schrödinger, on the physical side, and Bohr, on the philosophical side—in order to develop a deeper sense of the physical, mathematical, and philosophical workings of quantum-theoretical thinking. Reciprocally, giving a special emphasis on probability and specifically to the Bayesian concept of probability allows the book to gain new insights into the thought of these figures. The book reconsiders, from this perspective, the Bohr-Einstein debate on the epistemology of quantum physics and, in particular, offers a new treatment of the famous experiment of Einstein, Podolsky, and Rosen (EPR), and of the Bohr-Einstein exchange concerning the subject. It also addresses the relevant aspects of quantum information theory and considers the implications of its epistemological argument for higher-level quantum theories, such as quantum field theory and string and brane theories. One of the main contributions of the book is its analysis of the role of mathematics in quantum theory and in the thinking of Bohr, Heisenberg, and Schrödinger, in particular an examination of the new (vis-à-vis classical physics and relativity) type of the relationships between mathematics and physics introduced by Heisenberg in the course of his discovery of quantum mechanics. Although Epistemology and Probability is aimed at physicists, philosophers and historians of science, and graduate and advanced undergraduate students in these fields, it is also written with a broader audience in mind and is accessible to readers unfamiliar with the higher-level mathematics used in quantum theory.

Schro ̈dinger equation. --- Schro ̈dinger, Erwin,. --- Quantum theory --- Physics --- Knowledge, Theory of --- Complementarity (Physics) --- Wave-particle duality --- Causality (Physics) --- Heisenberg uncertainty principle --- Schrèodinger equation --- Physical Sciences & Mathematics --- Atomic Physics --- History --- Mathematics --- Philosophy --- Knowledge, Theory of. --- Wave-particle duality. --- Heisenberg uncertainty principle. --- Schrd̲inger equation. --- History. --- Mathematics. --- Philosophy. --- Bohr, Niels, --- Schrödinger, Erwin, --- Heisenberg, Werner, --- Indeterminancy principle --- Uncertainty principle --- Causality --- Dualism, Wave-particle --- Duality principle (Physics) --- Wave-corpuscle duality --- Epistemology --- Theory of knowledge --- Geĭzenberg, V. --- Heisenberg, W. --- Heisenberg, Werner --- Schredinger, Ervin, --- Schrödinger, E. --- Boer, Niersi, --- Boerh, Niersi, --- Bohr, N. --- Bohr, Niels Henrik David, --- Bor, Nil's, --- Physics. --- Epistemology. --- Philosophy and science. --- Probabilities. --- Quantum physics. --- Elementary particles (Physics). --- Quantum field theory. --- Elementary Particles, Quantum Field Theory. --- Probability Theory and Stochastic Processes. --- Quantum Physics. --- Philosophy of Science. --- Nuclear physics --- Electromagnetic waves --- Matter --- Radiation --- Wave mechanics --- Psychology --- Constitution --- Schroedinger, Erwin,

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This book evaluates and suggests potentially critical improvements to causal set theory, one of the best-motivated approaches to the outstanding problems of fundamental physics. Spacetime structure is of central importance to physics beyond general relativity and the standard model. The causal metric hypothesis treats causal relations as the basis of this structure. The book develops the consequences of this hypothesis under the assumption of a fundamental scale, with smooth spacetime geometry viewed as emergent. This approach resembles causal set theory, but differs in important ways; for example, the relative viewpoint, emphasizing relations between pairs of events, and relationships between pairs of histories, is central. The book culminates in a dynamical law for quantum spacetime, derived via generalized path summation.

Physics. --- Geometry. --- Topology. --- Gravitation. --- Cosmology. --- Classical and Quantum Gravitation, Relativity Theory. --- Causality (Physics) --- Causality --- Heisenberg uncertainty principle --- Nuclear physics --- Physics --- Quantum theory --- Philosophy --- Mathematics --- Euclid's Elements --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Astronomy --- Deism --- Metaphysics --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Properties