2 architectural suggestions for stopping time

While not ‘architectural,’ really – though I’m reminded of Norman Foster’s assertion that the 747 airplane is the single most important architectural design of the 20th century (giving a whole new perspective to September 11th: it was an architectural competition, and the skyscraper lost) – two architectural suggestions for stopping time are as follows:
1) Build a solar-powered airplane and fly it at exactly the speed of the rotation of the earth, against the earth’s rotation. Do this at high-noon, over the equator. The plane will always be in the glow of the sun, never leaving its precise and comfortable position at high-noon. Having become a geostationary structure in a low-atmosphere orbit, the airplane, barring mechanical failure, will never advance forward in time. It will always be noon, technically on the same day. It will be architecture that’s seceded from the aging of the universe.
2) Build a box of perfectly reflective internal surfaces. Light will never be absorbed or dissipated, but endlessly recycled and returned through the box’s mirrored interior. Whatever moment it captures – that is, whatever was happening when the box was sealed: the event, or location, that bounced its reflective way into the box’s hermetic closure – will remain in a constant state of cross-reflection, never dissipating or fading. The image, a kind of 3-dimensional holograph of the event it refers to, can then be sent floating outward from the earth, drifting through space, reflecting, never aging, one moment stuttering through itself over and over again till universal heat-death does us in.
And in both cases – within those two spatial instances, those two pieces of ‘architecture’ – time will effectively be stopped.
(Or so he tells himself.)