This is what suggests this Scientific American article. Here are some excerpts.
By studying the mysterious properties of black holes, physicists have deduced absolute limits on how much information a region of space or a quantity of matter and energy can hold. Related results suggest that our universe, which we perceive to have three spatial dimensions, might instead be "written" on a twodimensional surface, like a hologram. Our everyday perceptions of the world as threedimensional would then be either a profound illusion or merely one of two alternative ways of viewing reality. A grain of sand may not encompass our world, but a flat screen might.
The author, Jacob D. Bekenstein, looks in detail at entropy, both as a measure of information content and a central concept of thermodynamics. And he examines the thermodynamics of black holes. I'll let you read it, but here is the key point.
Studies of black holes show that, although it defies common sense, the maximum entropy or information content of any region of space is defined not by its volume but by its surface area.
This surprising result  that information capacity depends on surface area  has a natural explanation if the holographic principle is true. In the everyday world, a hologram is a special kind of photograph that generates a full threedimensional image when it is illuminated in the right manner. All the information describing the 3D scene is encoded into the pattern of light and dark areas on the twodimensional piece of film, ready to be regenerated. The holographic principle contends that an analogue of this visual magic applies to the full physical description of any system occupying a 3D region: it proposes that another physical theory defined only on the 2D boundary of the region completely describes the 3D physics.
If the holographic principle is true, can we apply it to our universe?
The real universe is a 4D system: it has volume and extends in time. If the physics of our universe is holographic, there would be an alternative set of physical laws, operating on a 3D boundary of spacetime somewhere, that would be equivalent to our known 4D physics. We do not yet know of any such 3D theory that works in that way. Indeed, what surface should we use as the boundary of the universe? One step toward realizing these ideas is to study models that are simpler than our real universe.
After looking at such models, the author says that holography might be a clue to the ultimate theory of reality.
The proliferation of variations on the holographic motif makes it clear that the subject has not yet reached the status of physical law. But although the holographic way of thinking is not yet fully understood, it seems to be here to stay. And with it comes a realization that the fundamental belief, prevalent for 50 years, that field theory is the ultimate language of physics must give way. Fields, such as the electromagnetic field, vary continuously from point to point, and they thereby describe an infinity of degrees of freedom. Superstring theory also embraces an infinite number of degrees of freedom. Holography restricts the number of degrees of freedom that can be present inside a bounding surface to a finite number; field theory with its infinity cannot be the final story.
For more detailed explanations, please read this fascinating 9page story.
Source: Jacob D. Bekenstein, for Scientific American, July 14, 2003
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