“…192,224,225 In standard Casimir force research, such as the AHD experiment, the Lifshitz theory applied in that arena provides, by design, an appropriate tool to capture phenomena that intrinsically arise as a consequence of many-body interactions without the need to make reference to the discrete nature of the interacting boundaries. Since one of the characteristic asymptotic limits of the Lifshitz theory is, in fact, that of a rarefied gas of individual polarizable particles interacting with a boundary, 161,182,187,201,[226][227][228][229] it logically follows that such a formulation can, at least in principle, describe the evolution of the mechanical energy of a neutral beam interacting with a dielectric surface whose optical properties are being manipulated. 192,224,225 In contrast, calculations of the mutual interaction potential of telescoping multi-walled nanotube layers, as well as of atoms and molecules in different positions outside or inside the nanotube, are often carried out a F. Pinto within the full additivity framework either by discrete atomic potential summation in molecular dynamics (MD) simulations 131-136, 140, 207, 230-232 or by continuum approximations.…”