Related papers: What is moonshine?
Some speculative preliminary ideas relating matrix theory and cosmology are discussed.
Here are a few random thoughts on the interpretations of the quantum double slit experiment, the Mach Zehnder experiment, the delayed-choice experiment and the measurement problem.
We shed the light on the inter-connections between different characterizations leading to the classical, free and quantum Meixner families.
Some thoughts are presented on the inter-relation between beauty and truth in science in general and theoretical physics in particular. Some conjectural procedures that can be used to create new ideas, concepts and results are illustrated…
This is an essay about understanding complexity science, via some peculiarities of the field, as a meeting place for a special kind of scientist. It comes out of my hobby of reading popular-science complex systems books, and builds on notes…
In this paper we complete the proof of Ryba's modular moonshine conjectures. We do this by applying Hodge theory to the cohomology of the monster Lie algebra over the ring of p-adic integers in order to calculate the Tate cohomology groups…
We first propose two conjectural estimates on Diophantine approximation of logarithms of algebraic numbers. Next we discuss the state of the art and we give further partial results on this topic.
Talk given at ICM '98, Berlin, reviewing some of the recent developments in understanding of string theory for a mathematical audience (to appear in Documenta Mathematica).
We discuss a problem initially thought for the Mathematical Olympiad but which has several interpretations. The recurrence sequences involved in this problem may be generalized to recurrence sequences related to a much larger set of…
Translation of a popular article on MOND vs. dark matter that appeared, in Hebrew, in the Israeli magazine "Odyssea", dedicated to "thoughts and ideas in the forefront of science and philosophy".
In this brief write-up, I overview recent developments on the theoretical description of jet quenching.
In this note some philosophical thoughts and observations about mathematics are expressed, arranged as challenges to some common claims.
These notes on string theory are based on a series of talks I gave during my graduate studies. As the talks, this introductory essay is intended for young students and non-string theory physicists.
These informal notes deal with some topics related to analysis on metric spaces.
These are lecture notes on string theory at Fudan University.
Quantum mechanical scattering theory is a subject with a long and winding history. We shall pick out some of the most important concepts and ideas of scattering theory and look at them from the perspective of Bohmian mechanics: Bohmian…
This is an introductory article to the theory of multiple gaps.
The story on the early days of the Quantum Ergodic Theorem. Alternative proof, underlying heuristics, physical analogies and interpretations.
Some formulas and speculations are presented relative to integrable systems and quantum mechanics.
I discuss some compelling suggestions about particles which could be the dark matter in the universe, with special attention to experimental searches for them.