7 citations · 31 across the 12 of their papers we have counts for
6 papers · 1 filter
On The Arrow of Time
Lucian M. Ionescu
The interface between classical physics and quantum physics is explained from the point of view of quantum information theory (Feynman Processes). The interpretation depends on a h…
The Search for a New Equivalence Principle
Lucian M. Ionescu
The new emerging quantum physics - quantum computing conceptual bridge, mandates a ``grand unification'' of space-time-matter and quantum information (all quantized), with deep imp…
A Survey of Huebschmann and Stasheff's Paper: Formal Solution of the Master Equation via HPT and Deformation Theory
Fusun Akman, Lucian M. Ionescu
These notes, based on the paper "Formal Solution of the Master Equation via HPT and Deformation Theory" by Huebschmann and Stasheff, were prepared for a series of talks at Illinois…
From Lie Theory to Deformation Theory and Quantization
Lucian M. Ionescu
Deformation Theory is a natural generalization of Lie Theory, from Lie groups and their linearization, Lie algebras, to differential graded Lie algebras and their higher order defo…
From operads and PROPs to Feynman Processes
Lucian M Ionescu
Operads and PROPs are presented, together with examples and applications to quantum physics suggesting the structure of Feynman categories/PROPs and the corresponding algebras.
The Feynman Legacy
Lucian M. Ionescu
The article is an overview of the role of graph complexes in the Feynman path integral quantization. The underlying mathematical language is that of PROPs and operads, and their re…