"We often forget that the act of discovering the laws of nature is a very human and very passionate one. Indeed, the act of creativity in physics research is very similar to the artistic process. Sometimes, scientific and artistic revolutions even go hand-in-hand, for the desire for change and revolution often crosses between art and science."
— Piers Coleman, Introduction to Many-Body Physics, citing Douglas Adams, The Hitchhiker’s Guide to the Galaxy
Elizabeth R. S. Burnim investigates emergent structure, coherence, and spatial organization in complex systems. This independent research, focusing on how structure stabilizes and reorganizes through interaction, bridges theoretical physics and computational models, including visual field-systems.
Emergent Structure: Organization arising from localized interactions rather than external imposition, where collective behavior defines the system.
Coherence: The persistent phase relationships that dictate coordination and transitions between ordered and disordered states.
Field Systems: The study of structure distributed dynamically across a field via continuous, relational interactions.
Current research focuses on experimentally accessible optical interference systems and computational approaches to coherence behavior, perturbation-sensitive structure formation, signal interpretation, and spatial correlation dynamics.
These investigations connect optical interference phenomena with broader questions involving coherent sensing, wave dynamics, photonics, computational imaging, and distributed interacting systems. This mathematical and physical framework operates in tandem with an independent studio practice.
Emergent Structure and Coherence in Interacting Systems
Current Working Paper
This work develops a framework for emergent structure and coherence in interacting systems grounded in condensed matter physics, statistical physics, and nonequilibrium transport theory. Rather than treating organization as a fixed outcome of symmetry-breaking transitions, the framework considers spatial organization as a continuously evolving relational process arising through distributed interactions among many components.
The research examines how coherence, collective behavior, and spatial organization develop across scales in nonequilibrium systems. Order parameters are treated as dynamical quantities encoding evolving correlations rather than static descriptors of equilibrium states. Coherence is understood as an emergent field-like condition capable of formation, stabilization, transport, destabilization, and reorganization.
Computational investigations explore simplified matrix-valued transport systems motivated by quasiclassical formulations of nonequilibrium superconductivity and interacting coherence dynamics. Numerical studies focus on iterative transport behavior, matrix-valued propagator structure, nonlinear operator stability, and self-consistent evolution in interacting systems.
Experimental investigations examine how coherent spatial structure forms, evolves, destabilizes, and reorganizes within perturbed optical interference fields. Using fringe visibility, spatial correlation dynamics, pattern evolution, and perturbation-sensitive coherence behavior as measurable observables, the work connects computational transport investigations with broader questions in photonics, wave dynamics, coherent sensing, computational imaging, and emergent organization in complex interacting systems.
Coherence, Perturbation, and Emergent Spatial Structure in Optical Fields
Proposed Experimental Investigation
This project investigates how coherent spatial structure forms, evolves, destabilizes, and reorganizes within perturbed optical interference systems through experimentally accessible optical measurements combined with computational analysis. Using interferometric optical configurations, the research examines perturbation-sensitive coherence behavior through fringe visibility, interference stability, spatial correlation dynamics, and pattern evolution under controlled conditions.
The investigation establishes a pilot framework for studying coherence-driven spatial organization within optical fields and related wave-based systems. Controlled perturbations — including mechanical displacement, refractive variation, angular disturbance, thermal fluctuation, and optical irregularities — are introduced into coherent optical fields to investigate their effects on measurable interference structure and coherence dynamics. The project connects optical interference phenomena with broader research areas involving photonics, coherent sensing, computational imaging, signal interpretation, and emergent organization in complex interacting systems.