Dr. Nichol Furey

Dr. Nichol Furey forscht auf dem Gebiet der theoretischen Physik, insbesondere der Hochenergiephysik und Quantenfeldtheorie. Ihr Arbeitsschwerpunkt liegt auf der mathematischen Modellierung der Teilchenphysik, wobei sie algebraische Strukturen wie Eichtheorien und nichtlineare Dynamik nutzt, um das Standardmodell zu analysieren. Sie entwickelt neue theoretische Frameworks, die Verbindungen zu Stringtheorie und algebraischer Geometrie aufweisen, um fundamentale Fragen zur Symmetriebrechung und zur Existenz von Fermion-Generationen zu beantworten.

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

  Quelle ↗

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

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

  2018

  Physics Letters B · 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 · 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.