The geometry of quantum potential : entropic information of the vacuum

"In virtue of its features, Bohm's quantum potential introduces interesting and relevant perspectives towards a satisfactory geometrodynamic description of quantum processes. This book makes a comprehensive state-of-the-art review of some of the most significant elements and results about the geometrodynamic picture determined by the quantum potential in various contexts. Above all, the book explores the perspectives about the fundamental arena subtended by the quantum potential, the link between the geometry associated to the quantum potential and a fundamental quantum vacuum. After an analysis of the geometry subtended by the quantum potential in the different fields of quantum physics (the non-relativistic domain, the relativistic domain, the relativistic quantum field theory, the quantum gravity domain and the canonical quantum cosmology), in the second part of the book, a recent interpretation of Bohm's quantum potential in terms of a more fundamental entity called quantum entropy, the approach of the symmetryzed quantum potential and the link between quantum potential and quantum vacuum are analysed, also in the light of the results obtained by the author."-- Publisher's website Machine generated contents note: ch. 1 The Geometry of the Quantum Potential in Different Contexts -- 1.1. Bohm's Original 1952 Approach on the Quantum Potential -- 1.2. The Geometrodynamic Information of the Quantum Potential -- 1.2.1. Grossing's thermodynamic approach to the quantum potential -- 1.2.2. Quantum potential as an information channel of a special superfluid vacuum -- 1.3. About the Link Between Weyl Geometries and the Quantum Potential -- 1.3.1. Weyl's conformal geometrodynamics -- 1.3.2. Santamato's geometric interpretation of quantum mechanics -- 1.3.3. Novello's, Salim's and Falciano's approach of quantum mechanics as a manifestation of the non-euclidean geometry -- 1.4. The Quantum Potential in the Relativistic Domain -- 1.4.1. The quantum potential in Bohm's approach to Klein-Gordon relativistic quantum mechanics -- 1.4.2. About a Bohmian approach to the Dirac relativistic quantum mechanics -- 1.5. The Quantum Potential in Relativistic Quantum Field Theory -- 1.5.1. The quantum potential in bosonic quantum field theory -- 1.5.2. The quantum potential in fermionic quantum field theory -- 1.6. The Quantum Potential in Bohmian Quantum Gravity -- 1.6.1. Bohm's quantum potential in relativistic curved space-time -- 1.6.2. Bohm's quantum potential in quantum gravity -- 1.7. The Quantum Potential in Bohmian Quantum Cosmology -- 1.7.1. F. Shojai's and A. Shojai's geometrodynamic approach to Wheeler-de Witt equation -- 1.7.2. Pinto-Neto's results about bohmian quantum cosmology -- 1.7.3. The quantum potential and the cosmological constant -- 1.8. About the Quantum Potential in the Treatment of Entangled Qubits -- ch. 2 Quantum Entropy and Quantum Potential -- 2.1. The Quantum Entropy as the Ultimate Source of the Geometry of Space in the Non-Relativistic Domain -- 2.2. The Quantum Entropy in Bohm's Approach to the Klein-Gordon Relativistic Quantum Mechanics -- 2.3. About the Quantum Entropy in a Bohmian Approach to the Dirac Relativistic Quantum Mechanics -- 2.4. Perspectives of the Quantum Entropy in Bohm's Relativistic Quantum Field Theory -- 2.5. The Quantum Entropy as the Ultimate Source of the Geometry of Space in the Relativistic de Broglie-Bohm Theory in Curved Space-Time -- 2.6. The Quantum Entropy as the Ultimate Source of the Geometry of Space in Bohmian Quantum Gravity -- 2.7. The Quantum Entropy as the Ultimate Source of the Geometry of Space in Bohmian Quantum Cosmology -- 2.8. About the Geometrodynamics of Bohm's Quantum Potential in an Entropic Approach in the Condition of Fisher Information -- ch. 3 Immediate Quantum Information and Symmetryzed Quantum Potential -- 3.1. The Symmetrized Quantum Potential in the Non-relativistic Domain -- 3.2. The Quantum Geometry in the Symmetrized Quantum Potential Approach -- 3.3. The Symmetrized Quantum Potential Approach in the Relativistic de Broglie-Bohm Theory in Curved Space-time -- 3.4. Towards a Symmetrized Extension of Bohm's Relativistic Quantum Field Theory -- 3.5. The Symmetrized Quantum Potential for Gravity in the Context of Wheeler-deWitt Equation -- ch. 4 The Quantum Potential and the Quantum Vacuum -- 4.1. The Space-time Arena and the Quantum Vacuum -- 4.2. Bohm's Quantum Potential Approach as the Epistemological Foundation of the Quantum Vacuum -- 4.3. From Bohm's View to Kastner's Possibilist Transactional Interpretation and Chiatti's and Licata's Approach about Transactions -- 4.4. From Transactions to a Three-dimensional Timeless Non-local Quantum Vacuum to the Emergence of the Geometrodynamics of Standard Quantum Theory from the Non-local Quantum Vacuum -- 4.5. About the Behaviour of Subatomic Particles in the Three-dimensional Timeless Non-local Quantum Vacuum -- 4.6. Unifying Perspectives of the Non-local Quantum Potential of the Vacuum.