| _version_ | 1866901718154870784 |
|---|---|
| author | Sheldrick, Adam |
| author_facet | Sheldrick, Adam |
| contents | <p>This work extends the Emergent Condensate Superfluid Medium (ECSM) framework to include dynamical excitation behaviour. Using a unified finite-response transport equation, we demonstrate that localized bound states, discrete energy spectra, and occupancy constraints arise naturally from medium dynamics.</p> <p>An effective finite-range response potential produces confined excitation modes without invoking a fundamental Coulomb interaction. Solving the corresponding eigenvalue problem yields a discrete spectrum including negative-energy bound states and a sequence of confined modes.</p> <p>A nonlinear response-induced occupancy cost produces an effective exclusion-like constraint, leading to structured filling behaviour and emergent shell-like organisation.</p> <p>These results provide a minimal dynamical route to atomic-like structure within ECSM, connecting cosmological propagation physics and matter-like organisation through a single finite-response framework.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20057845 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Dynamical Excitations and Emergent Shell Structure in the ECSM Framework Sheldrick, Adam Emergent Condensate Superfluid Medium, ECSM, emergent physics, finite-response medium, dynamical excitations, bound states, discrete energy spectrum, shell structure, atomic structure analogue, occupancy constraints, exclusion principle analogue, response potential, confinement, emergent quantisation, unified cosmology, non-fundamental spacetime <p>This work extends the Emergent Condensate Superfluid Medium (ECSM) framework to include dynamical excitation behaviour. Using a unified finite-response transport equation, we demonstrate that localized bound states, discrete energy spectra, and occupancy constraints arise naturally from medium dynamics.</p> <p>An effective finite-range response potential produces confined excitation modes without invoking a fundamental Coulomb interaction. Solving the corresponding eigenvalue problem yields a discrete spectrum including negative-energy bound states and a sequence of confined modes.</p> <p>A nonlinear response-induced occupancy cost produces an effective exclusion-like constraint, leading to structured filling behaviour and emergent shell-like organisation.</p> <p>These results provide a minimal dynamical route to atomic-like structure within ECSM, connecting cosmological propagation physics and matter-like organisation through a single finite-response framework.</p> |
| title | Dynamical Excitations and Emergent Shell Structure in the ECSM Framework |
| topic | Emergent Condensate Superfluid Medium, ECSM, emergent physics, finite-response medium, dynamical excitations, bound states, discrete energy spectrum, shell structure, atomic structure analogue, occupancy constraints, exclusion principle analogue, response potential, confinement, emergent quantisation, unified cosmology, non-fundamental spacetime |
| url | https://doi.org/10.5281/zenodo.20057845 |