WE may not yet be able to become invisible, but scientists have succeeded in "cloaking" an object perfectly for the first time, making it invisible to microwaves. Many "invisibility cloak" efforts have been made, but they’ve all reflected some light, making the illusion incomplete.

Microwaves (which are longer wavelengths than we can see, which is why you don’t notice them when you cook something in your microwave oven). The next step is to move the work to different wavelengths–ones which we can see.
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Scientists are working hard to achieve invisibility. A group of researchers have created a cylinder which makes its contents invisible to magnetic fields.

If there’s a military use for this, nobody’s thought of it yet, but there are definitely medical applications. For instance, in the future, similar devices could serve to protect a pacemaker in a patient (so he or she wouldn’t need to stay away from restaurants with microwaves).
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A team of physicists has created a "hole in time," where things that happen are completely undetectable to ordinary observers. It’s as if they never occurred. Called "temporal cloaking," this could eventually provide a way for a country like Iran or North Korea to make nuclear weapons in complete secrecy.

Earlier attempts to make things invisible involved "spatial cloaking," bending light around an object in a way that makes it disappear from view. In the Washington Post, David Brown quotes physicist Moti Fridman as saying, "We think of time in the way that other people think of space. What other people are doing in space, we can do it in time."
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