The Master thesis of Moshé Flato

Kibler, M.

doi:10.1007/978-94-015-1276-3_13

Cited by 9 publications

(7 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A seldom mentioned caveat: In molecular spectroscopy, e.g., when a crystalline structure breaks rotational symmetry, which (for trigonal and tetragonal crystals) was the subject of Flato's M.Sc. Thesis [55] under Racah (defended in 1960 and still frontier when its main part was published in 1965 as his French "second thesis"), we know the forces, and their symmetries give the spectra (energy levels). In particle physics things occurred in reverse order: one guessed symmetries from the observed spectra, interpreted experimental data on that basis and developed dynamics compatible with them.…”

Section: A Very Schematic Glimpse On the Context: Hadrons And Their S...mentioning

confidence: 99%

“The Important Thing is not to Stop Questioning”, Including the Symmetries on Which is Based the Standard Model

Sternheimer

2014

Trends in Mathematics

View full text Add to dashboard Cite

New fundamental physical theories can, so far a posteriori, be seen as emerging from existing ones via some kind of deformation. That is the basis for Flato's "deformation philosophy", of which the main paradigms are the physics revolutions from the beginning of the twentieth century, quantum mechanics (via deformation quantization) and special relativity. On the basis of these facts we describe two main directions by which symmetries of hadrons (strongly interacting elementary particles) may "emerge" by deforming in some sense (including quantization) the Anti de Sitter symmetry (AdS), itself a deformation of the Poincaré group of special relativity. The ultimate goal is to base on fundamental principles the dynamics of strong interactions, which originated half a century ago from empirically guessed "internal" symmetries. After a rapid presentation of the physical (hadrons) and mathematical (deformation theory) contexts, we review a possible explanation of photons as composites of AdS singletons (in a way compatible with QED) and of leptons as similar composites (massified by 5 Higgs, extending the electroweak model to 3 generations). Then we present a "model generating" multifaceted framework in which AdS would be deformed and quantized (possibly at root of unity and/or in manner not yet mathematically developed with noncommutative "parameters"). That would give (using deformations) a space-time origin to the "internal" symmetries of elementary particles, on which their dynamics were based, and either question, or give a conceptually solid base to, the Standard Model, in line with Einstein's quotation: "The important thing is not to stop questioning. Curiosity has its own reason for existing."

show abstract

Section: A Very Schematic Glimpse On the Context: Hadrons And Their S...mentioning

confidence: 99%

“The Important Thing is not to Stop Questioning”, Including the Symmetries on Which is Based the Standard Model

Sternheimer

2014

Trends in Mathematics

View full text Add to dashboard Cite

show abstract

“…The "chemistry" that immediately developed with Elliott was increased by the fact that some of Elliott's first papers have a common background with Moshe's first interests in physics, in particular with Moshe's 1960 M.Sc. Thesis with Racah on ionic energy levels in crystals [Ki00,Fl65].…”

Section: Our Mathematical Physics Around the Seventiesmentioning

confidence: 99%

Some multifaceted aspects of mathematical physics, our common denominator with Elliott Lieb

Sternheimer¹

2022

Preprint

View full text Add to dashboard Cite

Mathematical physics has many facets, of which we shall briefly give a (very partial) description, centered around those of main interest for Elliott and us (Moshe Flato and I). In our case these aspects had as a corollary a variety of "parascientific activities", in particular the foundation of IAMP (the International Association of Mathematical Physics) and of the journal LMP (Letters in Mathematical Physics), both of which were strongly impacted by Elliott, and Elliott's long insistence that publishers do not demand "copyright transfer" as a precondition for publication but are satisfied with "consent to publish", which is increasingly becoming standard. Since this article is testimony to the huge scientific impact of Elliott, the latter intertwined aspects constitute the core of the present contribution.

show abstract

“…in Moshe Flato's M.Sc. thesis under Racah [19]). There one knows the forces and symmetries make calculations feasible.…”

Section: Symmetries Of Elementary Particlesmentioning

confidence: 99%

The Reasonable Effectiveness of Mathematical Deformation Theory in Physics

Sternheimer

2019

Trends in Mathematics

View full text Add to dashboard Cite

show abstract

The Master thesis of Moshé Flato

Cited by 9 publications

References 27 publications

“The Important Thing is not to Stop Questioning”, Including the Symmetries on Which is Based the Standard Model

“The Important Thing is not to Stop Questioning”, Including the Symmetries on Which is Based the Standard Model

Some multifaceted aspects of mathematical physics, our common denominator with Elliott Lieb

The Reasonable Effectiveness of Mathematical Deformation Theory in Physics

Contact Info

Product

Resources

About