We present a line by line derivation of canonical quantum mechanics stemming from the compatibility of the statistical geometry of distinguishable observations with the canonical Poisson structure of Hamiltonian dynamics. This viewpoint can be naturally extended to provide a conceptually novel, non-perturbative formulation of quantum gravity. Possible observational implications of this new appr...

Submit Manuscript | http://medcraveonline.com Abbreviations: DOPA: 3,4-Dihydroxy Phenylalanine; MAPs: Mussel Adhesive Proteins; QM: Quantum Mechanics; MM: Molecular Mechanics; PEG: Polyethylene Glycol; LAMBA: Light Activated Mussel-based Bio Adhesive; DFT: Density Functional Theory; EPR: Electron Paramagnetic Resonance; DCTA: DoubleCrosslinked Tissue Adhesives; UFF: Universal Force Field; ONIOM...

The coalgebra approach to the construction of classical integrable systems from Poisson coalgebras is reviewed, and the essential role played by symplectic realizations in this framework is emphasized. Many examples of Hamiltonians with either undeformed or q-deformed coalgebra symmetry are given, and their Liouville superintegrability is discussed. Among them, (quasi-maximally) superintegrable...

There are also four appendices. Let K be a field of characteristic 0, and let C be a commutative K-algebra. which makes C into a Lie algebra, and is a biderivation (i.e. a derivation in each argument). The pair C, {−, −} is called a Poisson algebra. Poisson brackets arise in several ways. Example 1.1. Classical Hamiltonian mechanics. Here K = R, X is an even dimensional differentiable manifold ...