The Vanishing Present: Complex Spacetime, Imaginary Time, and the Geometry of Observation

This study presents a theoretical framework in which spacetime is represented as a complex exponential surface, combining spatial scaling (as real expansion) and temporal rotation (as imaginary time). The core thesis is that all observable phenomena—mass, energy, and surface—exist only as momentary projections at time t = 0, where the real and imaginary components of spacetime briefly align. Outside of this instant, imaginary time acts to rotate real structures out of visibility, rendering the past unobservable not because it is destroyed, but because it has moved beyond the plane of observation. The paper redefines origin, time, and observation using the geometry of complex space, showing that reality is fundamentally a projection across phases of a rotating, closed surface.