A geometric theory of cavities built on a single invariant - aperture cardinality - developed first into a trichotomy of sealed voids, pockets, and through-holes, then argued to be a coarsening of the true structure. A unification theorem shows that every pocket arises as the Hausdorff limit of through-holes via aperture-merge deformations, collapsing the trichotomy into a natural dichotomy: voids and holes, with pockets occupying the lowest stratum of a filtration of hole-space.
An assessment of the RK4 method's performance in modelling the chaotic dynamics of a simulated damped driven pendulum, successfully capturing topological features including braiding and unstable periodic orbits.
Reviewing the current and future potential of quantum mechanical applications to technology, with a particular interest in its contributions to the United Nations' Sustainable Development Goals.
An analysis of methanol diffusion in the TIP3P model of water...
Oliver Burch is an emerging theoretical physicist whose work intersects the boundaries of classical and quantum physics with computational modelling. His academic focus lies in the development of strong mathematical tools useful in answering the complex questions posed by thermodynamics and quantum mechanics.
Currently advancing his undergraduate research, Oliver has been recognised for his analytical depth and ability to synthesise complex theoretical frameworks into coherent academic discourse. His portfolio serves as a curated record of his papers, research findings, and reading list that underscores his dedication to the evolving landscape of physics, as well as his own personal development.
Driven by the philosophy that understanding the theoretical foundations of our universe requires both unyielding curiosity and strict mathematical discipline, Oliver seeks to contribute to our collective knowledge through research that is outside of the box while maintaining composure through clarity and focus.
A Nod to the Geometry of Holes
A geometric theory of cavities built on a single invariant - aperture cardinality - developed first into a trichotomy of sealed voids, pockets, and through-holes, then argued to be a coarsening of the true structure. A unification theorem shows that every pocket arises as the Hausdorff limit of through-holes via aperture-merge deformations, collapsing the trichotomy into a natural dichotomy: voids and holes, with pockets occupying the lowest stratum of a filtration of hole-space.
Particle-in-Cell Simulation of Laser-Driven Wakefields in Dense Plasma
A Particle-in-Cell (PIC) simulation built from source, demonstrating a high-intensity laser pulse travelling through a dense plasma medium and successfully extracting and plotting the longitudinal accelerating wakefield it generates. The repository contains the input deck, build configuration, and post-processing scripts used to reconstruct the field structure.
Microscopic Black Hole Decay and Parton Hadronisation
Linked two distinct physics engines — QBH for microscopic black hole production and Pythia8 for parton showering — to model the decay of a microscopic black hole, simulating how the Strong Nuclear Force causes its partons to hadronise into massive particle jets visible in a detector event display.
Detector-Level Simulation of Neutralino Dark Matter Signatures
Modelled neutralino dark matter production using a two-step pipeline: generating raw parton-level collision kinematics with MadGraph, then applying Delphes to simulate realistic detector limitations and calculate the observable Missing Transverse Energy (MET) — the canonical signature of weakly-interacting dark matter at colliders.
A Topological Assessment of the RK4 Method for Chaotic Driven Damped Pendulums
Your Future Quantised; The Practical Superpower of Quantum Mechanics
On the Components of Kinetic Energy During a Barostatted Molecular Dynamics Simulation of Methanol Diffusion in Water
Determining Planck's Constant From Photodiode Responses to LEDs of Differing Wavelengths
Antimatter - A Look Into the Future of Energy
Quantum Field Theory for the Gifted Amateur - Stephan Blundell and Tom Lancaster
Death on the Nile
Friedman–Ramanujan functions in random hyperbolic geometry and application to spectral gaps II
There is no Antimimetics Division - Qntm
For research questions, collaborations, or general inquiries, please use one of the contact details below or alternatively the form below:
olivergtburch@gmail.com
linkedin.com/in/oliver-burch-846b80263
University of Sheffield, UK