Based on Feynman’s lifetime efforts on quantum mechanics and relativity, it is concluded that the basic difference between field theory and string theory is that field theory is based on running waves while string theory should deal with standing waves in the Lorentz-covariant regime. At the 1970 spring meeting of the American Physical Society held in Washington, DC, R. P. Feynman stunned the a...

We show that the symmetry classes of torsion-free covariant derivatives ∇T of r-times covariant tensor fields T can be characterized by LittlewoodRichardson products σ[1] where σ is a representation of the symmetric group Sr which is connected with the symmetry class of T . If σ ∼ [λ] is irreducible then σ[1] has a multiplicity free reduction [λ][1] ∼ ∑ λ⊂μ[μ] and all primitive idempotents belo...

A generalized quantum kinetic equation (RKE) of the Kadanoff-Baym type is obtained on the basis of the Heisenberg equations of motion where the time evolution and space translation are separated from each other by means of the covariant method. The same approach is used also for a covariant modification of the real-time Green's functions method based on the Wigner representation. The suggested ...

Sequence Logos and its variants are the most commonly used method for visualization of multiple sequence alignments (MSAs) and sequence motifs. They provide consensus-based summaries of the sequences in the alignment. Consequently, individual sequences cannot be identified in the visualization and covariant sites are not easily discernible. We recently proposed Sequence Bundles, a motif visuali...

Key aspects of the manifestly-covariant theory of quantum gravity (Cremaschini and Tessarotto 2015–2017) are investigated. These refer, first, to the establishment of the four-scalar, manifestly-covariant evolution quantum wave equation, denoted as covariant quantum gravity (CQG) wave equation, which advances the quantum state ψ associated with a prescribed background space-time. In this paper,...

While the spinor twisted de Rham sequence for orthogonal spin structures is well understood from the point of view of representation theory (see, e.g., Delanghe, Sommen, Souček [4]), its symplectic analogue seems to be untouched till present days. In Riemannian geometry, a decomposition of spinor twisted de Rham sequence (i.e., exterior differential forms with values in basic spinor bundles) in...

This is the first of a series of papers extending a Gauge Invariant and Covariant (GIC) treatment of kinetic theory in curved space-times to a treatment of Cosmic Background Radiation (CBR) temperature anisotropies arising from inhomogeneities in the early universe. This paper deals with algebraic issues, both generically and in the context of models linearised about Robertson-Walker geometries...

In the present paper we review in a fibre bundle context the covariant and massless canonical representations of the Poincaré group as well as certain unitary representations of the conformal group (in 4 dimensions). We give a simplified proof of the well–known fact that massless canonical representations with discrete helicity extend to unitary and irreducible representations of the conformal ...

We give a simple and direct construction of a massless quantum field with arbitrary discrete helicity that satisfies Wightman axioms and the corresponding relativistic wave equation in the distributional sense. We underline the mathematical differences to massive models. The construction is based on the notion of massless free net (cf. Section 3) and the detailed analysis of covariant and massl...