Algebraic quantum theory

Abstract

The main objective consists in endowing the elementary particles with an algebraic space-time structure in the perspective of unifying quantum field theory and general relativity: this is realized in the frame of the Langlands global program based on the infinite dimensional representations of algebraic groups over adele rings. In this context, algebraic quanta, strings and fields of particles are introduced.

137 pp

References in corpus (3)

• Classical Equations for Quantum Systems
• Affine orbifolds and rational conformal field theory extensions of W_{1+infinity}
• n-Dimensional global correspondences of Langlands

Cited by in corpus (20)

• Entropy of a subalgebra of observables and the geometric entanglement entropy
• On the stability of charges in infinite quantum spin systems
• The Devil in the (Implicit) Details. On the AMPS Paradox and its Resolution
• A new track for unifying general relativity with quantum field theories
• From global class field concepts and modular representations to the conjectures of Shimura-Taniyama-Weil,Birch-Swinnerton-Dyer and Riemann
• A Spacetime Calculation of the Calabrese-Cardy Entanglement Entropy
• Spontaneous Symmetry Breaking in Finite Quantum Systems: a decoherent-histories approach
• Humeanism in Light of Quantum Gravity
• Algebraic representations of von Neumann algebras
• Higher algebraic K-theories related to the global program of Langlands
• n-Dimensional geometric-shifted global bilinear correspondences of Langlands on mixed motives III
• Brane and string field structure of elementary particles
• The Thurston's program derived from the Langlands global program with singularities
• GL(2)-structures of the Langlands global program
• Lieb-Robinson bounds, Arveson spectrum and Haag-Ruelle scattering theory for gapped quantum spin systems
• Mass generation of elementary particles and origin of the fundamental forces in algebraic quantum theory
• Random matrices and Riemann hypothesis
• Quantized gravito-electro-magnetic interactions of bilinear type
• Generalized modular forms including the weak Maass forms,the Ramanujan's Theta functions and the Tau function
• The time at the subplanckian scale