Publications

  • Since early 2020, I am placing/announcing most of my articles on this ‘Concepts of Shape’ web domain.
  • A few are being published elsewhere; these will eventually be listed here as well.

198 Global Nature of Physical Law: Posing of highly sharpened Global Problem of Time between Background Independent and Background Dependent Laws of Physics (2020).

199 Physically-Rooted Social Distancing: Generalization due to Airflow (2020).

200 Geometrical Packing Theory Applied to Social Distancing (2020).

201 Physically Why Droplets of Different Sizes Travel Qualitatively Differently (2020).

202 Topological-Level Graph Theory of Packing Equal Discs in a Square (2020).

203 Lie Theory suffices for Local Classical Resolution of Problem of Time. 0. Preliminary Relationalism as implemented by Lie Derivatives (2020).

204 Lie Theory suffices for Local Classical Resolution of Problem of Time. 1. Closure, as implemented by Lie brackets and Lie’s Algorithm, is Central.
(2020).

205 Lie Theory suffices for Local Classical Resolution of the Problem of Time. 2. Observables as Function Space Algebras of Lie Bracket Commutants.
(2020).

206 Global Problem of Time Sextet. -I. Introduction and Notions of Globality (2020).

207 Global Problem of Time Sextet. O. Relational Preliminaries: Generator Provision and Stratification (2020).

208 A Local Resolution of the Problem of Time (short published version: link forthcoming).

209 On the type of Projection involved in forming Dirac Brackets (2021).

210 Spaces of Graphs (2021).

211 Dirac’s Algorithm for Constrained Systems from the perspective of Order Theory (2021).

212 Relational Variables for Graph Theory (2021).

213 Shape (In)dependent Inequalities for Triangleland’s Jacobi and Democratic-Linear Ellipticity Quantitities (2021).

214-282 Applied Combinatorics (Widely-Applicable Mathematics Series. Volume 0) (Freely Available Book, 2022). (709 pages: in 68 article chapters).

283 Lie Theory Suffices to Resolve the Problem of Time (published long-review form: link forthcoming).