While in string theory the subject of sources in imaginary time has received some attention, we demonstrate the power of imaginary sources by proving that they constitute in several field theories a complete basis for all smooth and time dependent source free solutions. These proofs promote the study of imaginary sources to a new and crucial viewpoint for understanding time dependent background...

In this study, we examined the construct of the imaginary audience (Elkind & Bowen, 1979), presumably a precipitant of adolescent egocentrism, as it relates to public individuation and self-consciousness. We hypothesized that the imaginary audience inhibits public individuation and represents a critical form of public self-consciousness. We also argued that the imaginary audience is a normal as...

This expository paper is based on the theory of imaginary geometry, due to Sheffield and Miller. We aim to explain enough of the theory for the reader to understand the main constructions and some basic interactions between them in a short time. We suppress the more technical aspects when possible to focus attention on building geometric intuition.

Unlike the Metelli monochrome transparencies, when overlays and their backgrounds have chromatic content, the inferred surface colors may not always be physically realizable. In these cases, the inferred chromatic transmittance or reflectance of the overlay is imaginary, lying outside the RGB spectral boundaries. Using the classical Metelli configuration, we demonstrate this illusion, and brief...