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Forces and Fields
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associated bijections biology category theory causal coequalizer coequalizer-mono commutativity compatible complex systems congruence consider continuous dynamics continuum convection coproduct defined definition density derivative description space diagram dissipative dynamical systems encoding entropy epi-equalizer epimorphisms equation of continuity equivalence relation example field finite flux formal system four-vector function functor galaxies given gradient gravitational hence hierarchy identity implies inertial force informational potential injection interaction isomorphism Lemma Mach's principle mapping mass mathematical momentum monomorphisms morphisms motion N-objects natural systems natural transformations Newtonian paradigm Nicolas Rashevsky Note object observables organismic set organisms particle phase space physics potential energy preceding pseudo-potentials R)-system Rashevsky real-potentials representation retarded potential Rosen S-morphism s-space scalar potential scalar potential energy scale factors Section source term split mono stress tensor structure subset surjective T-topology Theorem theory thermodynamics topology vector potential vector potential energy velocity volume