Extracting mechanical work from a scalar field potential via dissipative structures

Abstract

Further thermodynamic investigations into the behaviour of a polar dielectric working fluid under non-equilibrium and negative pressure conditions are reported. The establishment of a long-range van der Waals interaction between clathrate hydrates and their former guest molecules is revisited. The dissipative nature of these inclusion compounds appears responsible for second-order phase changes that maintain a constant Hamiltonian function despite distinct changes in phase symmetry. A scalar field potential, as derived from the Lagrangian function, is deemed responsible for the flow of energy within the system. The inclusion compounds are embedded in a geometrically frustrated fluid lattice which together form a spin ice material. The effective magnetic monopoles of the spin ice appear to exchange energy with the long-range van der Waals interaction on a hyperbolic manifold to produce mechanical work. For expansion work, the exchange of energy continues up to a transition point where the auxiliary magnetic field is deemed reach zero potential. However, expansion work continues well beyond this transition point, driven by a gradient energy that now exceeds the expression of curvature on the hyperbolic manifold. Emergent geometry associated with vacuum energy is proposed as the most likely source for the missing energy contribution.