A Finite Unified Quantum Field Theory of the Elementary Particle Standard Model and Quantum Gravity: Based on New Quantum Dimensions & a New Paradigm in the Calculus of Variations
This book, A Finite Unified Quantum Field Theory of the Elementary Particle Standard Model and Quantum Gravity Based on New Quantum Dimensions and a New Paradigm in the Calculus of Variations, develops a new formulation of quantum field theory. Within this framework, a finite unified quantum field theory of the known forces of nature - electromagnetism, the weak interactions, the strong interactions and gravity - is created. The conventional Standard Model is the large distance limit of the elementary particle sector of the unified theory. The Quantum Gravity sector is finite in this formulation. Its large distance limit is Einsteinian gravity. This unified theory contains no divergences - thus solving a major problem that has bedeviled quantum field theory for the past seventy years. The theory is based on a new form of hidden dimensions: Quantum Dimensions, that only manifest themselves at ultra-high energies. Some new phenomena that result are: * Unification of QED, Weak Interactions, Strong Interactions and Quantum Gravity.* Finite - No divergences.* Finite also with massive vector bosons: No need for Higgs mechanism.* Low Energy Limit: Approximates Standard Model (and QED) to arbitrary accuracy.* Suggests possible doubly charged dilepton resonances.* Large Distance limit of Quantum Gravity: Newtonian gravitational potential.* No ultra-microscopic Black Holes.* A New form of hidden dimensions: Quantum Dimensions.* A New form of interaction: Dimensional Interactions.* A New paradigm (type of problem) for the Calculus of Variations.
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SOME ISSUES FACING ELEMENTARY PARTICLE PHYSICS TODAY
AN EXTENSION OF THE CALCULUS OF VARIATIONS
QUANTIZATION OF COORDINATE SYSTEMS
7 other sections not shown
asymptotic Blaha block diagonality c-number calculations chapter coherent composition of extrema conserved conventional QED conventional quantum field coordinate system Correspondence Principle Coulomb gauge defined develop divergences electromagnetic Electroweak Theory elementary particles fermion fermions and photons Feynman diagram Feynman propagator finite Fock space free field function gauge field graviton hamiltonian hermitean Higgs high energy internal symmetry Jacobian Jd3k Jd4y Lagrangian large distance low energy massive vector bosons matrix element metric momentum space non-commuting coordinates operator out-states particle fields Particle Propagator path integral perturbation theory Phys Planck mass quantization quantum field theory Quantum Gravity references therein renormalization result scalar field scalar particle separable Lagrangian space-time specified by eq spin Standard Model Superstring theory Two-Tier Coulomb potential Two-Tier gravitational potential two-tier propagator two-tier QED two-tier quantum field two-tier Quantum Gravity two-tier Standard Model two-tier theory two-tier version unified theory unitarity unitary zero