An apparatus for constructing, repairing and operating modular electronic systems utilizes peripheral half-capacitors (i.e., conductive plates on the outside of the modules) to communicate non-conductively between abutting modules. Such systems provide lower cost, improved testability/reparability and greater density than conventional modular packaging techniques, such as printed circuit boards and multi-chip modules. The non-conductive interconnection technique of the invention can be applied to all levels in the packaging hierarchy, from bare semiconductor dies to complete functional sub-units. Numerous exemplary systems and applications are described.