Dr. Nichol Furey

Profil

Zusammenfassung

Dr. Nichol Furey entwickelt algebraische Grundstrukturen zur Beschreibung von Elementarteilchenphysik, insbesondere des Standardmodells. Ihre Expertise liegt darin, mathematische Algebren (speziell Divisionsalgebren wie Oktonionen und Quaternionen) zu nutzen, um fundamentale Symmetrien und Strukturen der Teilchenphysik — wie Generationen von Fermionen, Ladungsquantisierung und Symmetriebrechung — aus rein algebraischen Prinzipien herzuleiten. Dies bietet einen neuen theoretischen Zugang zu offenen Fragen der Teilchenphysik jenseits des Standardmodells.

Skills

Name

Dr. Nichol Furey

Titel

Dr.

Fakultät

Mathematisch-Naturwissenschaftliche Fakultät

Institut

Institut für Physik

Arbeitsgruppe

Theoretische Physik (Quantenfeldtheorie jenseits des Standardmodells und Stringtheorie)

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HU-FIS-Profil

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Zuletzt gescrapt

28.6.2026, 01:05:31

• In-Depth Study Into the Algebraic Structure of Elementary Particle Physics

  Quelle ↗

  Förderer: Volkswagen Stiftung Zeitraum: 02/2020 - 12/2028 Projektleitung: Dr. Nichol Furey

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• Three generations, two unbroken gauge symmetries, and one eight-dimensional algebra

  2018

  Physics Letters B · 80 Zitationen · DOI

  A considerable amount of the standard model's three-generation structure can be realised from just the 8C-dimensional algebra of the complex octonions. Indeed, it is a little-known fact that the complex octonions can generate on their own a 64C-dimensional space. Here we identify an su(3)⊕u(1) action which splits this 64C-dimensional space into complexified generators of SU(3), together with 48 states. These 48 states exhibit the behaviour of exactly three generations of quarks and leptons under the standard model's two unbroken gauge symmetries. This article builds on a previous one, [1], by incorporating electric charge.

• Charge quantization from a number operator

  2015

  Physics Letters B · 43 Zitationen · DOI

  We explain how an unexpected algebraic structure, the division algebras, can be seen to underlie a generation of quarks and leptons. From this new vantage point, electrons and quarks are simply excitations from the neutrino, which formally plays the role of a vacuum state. Using the ladder operators which exist within the system, we build a number operator in the usual way. It turns out that this number operator, divided by 3, mirrors the behaviour of electric charge. As a result, we see that electric charge is quantized because number operators can only take on integer values. Finally, we show that a simple hermitian form, built from these ladder operators, results uniquely in the nine generators of SUc(3) and Uem(1). This gives a direct route to the two unbroken gauge symmetries of the standard model.

• Standard model physics from an algebra?

  2019

  Apollo (University of Cambridge) · 27 Zitationen · DOI

  This thesis constitutes a first attempt to derive aspects of standard model particle physics from little more than an algebra. Here, we argue that physical concepts such as particles, causality, and irreversible time may result from the algebra acting on itself. We then focus on a special case by considering the algebra $\mathbb{R}\otimes\mathbb{C}\otimes\mathbb{H}\otimes\mathbb{O}$. Using nothing more than $\mathbb{R}\otimes\mathbb{C}\otimes\mathbb{H}\otimes\mathbb{O}$ acting on itself, we set out to find standard model particle representations. From the complex quaternionic portion of the algebra, we find generalized ideals, and show that they describe concisely all of the Lorentz representations of the standard model. From the complex octonionic portion of the algebra, we find minimal left ideals, and show that they mirror the behaviour of a generation of quarks and leptons under $su(3)_c$ and $u(1)_{em}$. We then demonstrate a rudimentary electroweak model which yields a straightforward explanation as to why $SU(2)_L$ acts only on left-handed states. This holds in the case of leptons. Finally, we demonstrate how $\mathbb{C}\otimes\mathbb{O}$ can generate a 64-$\mathbb{C}$-dimensional algebra, wherein we find the $SU(3)_c$ irreducible representations corresponding to three generations of quarks and leptons. We then conclude by showing how to arrive at all 48 electric charges.

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