We believe that the ordinary physical objects that we perceive continue to exist unperceived; and this is intuitively an aspect of any authentic characterization of how the world appears to us in perception. But how can experience present its objects as continuing to exist beyond that very experience of them? Here I aim to explain this phenomenon. I start with an insight from Evans (1985). Familiar attempts to implement this insight fail in my opinion. Here I introduce, motivate, defend, and elaborate an alternative approach to its implementation that I claim succeeds. Its key is to recognize the role of Evans’s insight in the metaphysics of perceptual experience itself.