Computations via Newtonian and relativistic kinematic systems

DOI10.1016/j.amc.2009.04.052zbMath1400.70002OpenAlexW1994902659MaRDI QIDQ1036523

J. V. Tucker, Edwin J. Beggs

Publication date: 13 November 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.04.052

zbMATH Keywords

computable functions and setsfoundations of computationfoundations of mechanicsNewtonian kinematic systemsnon-computable physical systemsrelativistic kinematic systemstheory of Gedanken experiments

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)

Related Items (8)

Can Newtonian systems, bounded in space, time, mass and energy compute all functions? ⋮ Embedding infinitely parallel computation in Newtonian kinematics ⋮ Definability as hypercomputational effect ⋮ Computational power of infinite quantum parallelism ⋮ Experimental computation of real numbers by Newtonian machines ⋮ Computable analysis with applications to dynamic systems ⋮ Computations via Newtonian and relativistic kinematic systems ⋮ Physically-relativized Church-Turing hypotheses: physical foundations of computing and complexity theory of computational physics

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