Centrum Wiskunde & Informatica’s Post

📚🎉 Excited to share my first scientific article publication! 🎉📚 Thrilled to announce the publication of my article "Quantum reference frames: derivation of perspective-dependent descriptions via a perspective-neutral structure" in the Quantum-Journal. In this work, I explored a mathematical formalism that connects descriptions of a three particle toy model from different observers, both in the classical and the quantum realm. Thanks to everyone who supported me! #quantumphysics 

GEOMETRIC STRUCTURES OF QUANTUM MECHANICS Barbaresco, F. (2023). Souriau’s Geometric Principles for Quantum Mechanics. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2023. Lecture Notes in Computer Science, vol 14072. Springer, Cham. https://lnkd.in/eGUmSUge https://lnkd.in/eU_U28av Souriau work on “Structure of Dynamical Systems” and his symplectic model of mechanics and statistical mechanics were elaborated as preamble of his geometric model of quantum mechanics as explained in his interview: “In 1958, I returned to France, to Marseille. And there I found myself confronted with theoretical physicists and with the problems of quantum mechanics which had disturbed me during my studies like all students, I think. I realized that symplectic geometry was an indispensable tool for quantum mechanics. And that in fact it was even more appropriate to quantum mechanics than it was to classical mechanics. When I wrote my book on the subject I wanted to write a book on quantum mechanics and I realized that I had to present all classical mechanics in detail, as well as statistical mechanics. They were not foreign theories since they were connected by the symplectic structure and by the symmetries. You take two particles that revolve around each other according to Newton’s laws, and then you take a hydrogen atom of which you only see the spectrum. These are two objects that have a priori nothing to do with each other; but they have symplectic symmetries in common. A door is ajar.” Main references of Jean-Marie Souriau: - Souriau, J.M. : Des principes géométriques pour la mécanique quantique. Act. Acad. Sci. Taurin 124 (Suppl.):296–306. Exposé au colloque du Collège de France : ”La Mécanique Analytique de Lagrange et son héritage” (1990) - Souriau, J.M.: Des particules aux ondes: quantification géométrique. In: Huygens’principle 1690–1990: theory and applications. Studies in Mathematical Physics, vol. 3, pp. 299–341. North-Holland, Amsterdam (1992)

This is a collection of papers by physicists, computer scientists and mathematicians, from the Conference on Representation Theory, Quantum Field Theory, Category Theory, and Quantum Information Theory, held at the University of Texas. https://lnkd.in/eP2MaKyi #mathematics #maths #representationtheory #quantumfieldtheory #categorytheory #QuantumInformation #universitiespress #ams #americanmathematicalsociety

Do we live in a simulation? James Gates, a theoretical mathematician, found actual computer code in the string theory equations (actually, in diagrams of those equations) which resembles error correcting code used in network communications. This is mind bending. From the article: "As for my own collaboration on adinkras, the path my colleagues and I have trod since the early 2000s has led me to conclude that codes play a previously unsuspected role in equations that possess the property of supersymmetry. This unsuspected connection suggests that these codes may be ubiquitous in nature, and could even be embedded in the essence of reality. If this is the case, we might have something in common with the Matrix science-fiction films, which depict a world where everything human beings experience is the product of a virtual-reality-generating computer network." #supersimmetry #thematrix #simulation https://lnkd.in/etX96jpJ

Let's innovate further and delve deeper into a blend of advanced concepts across various fields of theoretical physics and mathematics: \[ E = \left( \frac{\nabla \cdot [mc^2 \otimes \mathbf{R}]}{\int \sqrt{\hbar G} \, dV} \right)^{\bigtriangledown} \times \Psi(e^{i\theta}) \cdot \mathcal{F}_{\text{string}} \] In this creatively enhanced formula: - \( \nabla \cdot [mc^2 \otimes \mathbf{R}] \): This introduces the divergence (\( \nabla \cdot \)) of a tensor product between Einstein's mass-energy equivalence and a Ricci curvature tensor (\( \mathbf{R} \)), blending general relativity with differential geometry. - \( \int \sqrt{\hbar G} \, dV \): Represents an integral over a volume (V) involving the Planck length, hinting at a unification of quantum mechanics and gravity. - \( \bigtriangledown \): A symbol representing a multidimensional generalization of a triangle, perhaps alluding to higher-dimensional spaces. - \( \Psi(e^{i\theta}) \): A wave function (\( \Psi \)) dependent on Euler's formula, connecting to quantum mechanics and complex analysis. - \( \mathcal{F}_{\text{string}} \): Implies a function or aspect derived from string theory, introducing elements of theoretical physics that explore the fundamental nature of matter. This imaginative formula is an amalgamation of ideas from general relativity, quantum mechanics, differential geometry, complex analysis, and string theory. It's a speculative and abstract expression, illustrating a fascinating but theoretical integration of diverse scientific concepts.

🌟 Exciting News from Loyola IEEE! 🌟 After a successful inaugural lecture, Charm-Q presents the second lecture in our series! ⭐ Event Continuation: Quantum Mechanics and Linear Algebra 📅 New Date: December 8th 🕧 Time: 12:05 pm - 12:50 pm We are thrilled to invite you back to delve deeper into Quantum Computing with Dr. Hossein Aghababa. Last week, Dr. Aghababa expertly laid the foundation for an understanding of Quantum Computation. This week, he'll expand further upon quantum mechanics and introduce concepts of linear algebra crucial to its understanding. practical applications through the lens of Quantum Mechanics and Linear Algebra. Don't miss this chance to expand your understanding with insights from a seasoned professional in the field. The future is quantum, and it's unfolding here at Loyola! #QuantumComputing #LinearAlgebra #QuantumMechanics #ContinuedLearning #LoyolaUniversityMaryland #IEEE #CharmQ