| Others can hopefully chime in with more, but when I first was learning about it, my reaction to the word "hologram" was the same as your (1). My understanding is that when they say "hologram", they're simply meaning an n dimensional object that's encoded in n-1 dimensional space. If you're not familiar with the basics of the Holographic Principle, start here:
https://en.wikipedia.org/wiki/Holographic_principle It's been a while since I've watched these, but IIRC these are very good videos to start with: - http://www.youtube.com/watch?v=2DIl3Hfh9tY - http://www.youtube.com/watch?v=GHgi6E1ECgo EDIT: Key clippings from the wikipedia article- "But Jacob Bekenstein noted that this leads to a violation of the second law of thermodynamics. If one throws a hot gas with entropy into a black hole, once it crosses the event horizon, the entropy would disappear. The random properties of the gas would no longer be seen once the black hole had absorbed the gas and settled down. The second law can only be salvaged if black holes are in fact random objects, with an enormous entropy whose increase is greater than the entropy carried by the gas. Bekenstein argued that black holes are maximum entropy objects—that they have more entropy than anything else in the same volume. In a sphere of radius R, the entropy in a relativistic gas increases as the energy increases. The only limit is gravitational; when there is too much energy the gas collapses into a black hole. Bekenstein used this to put an upper bound on the entropy in a region of space, and the bound was proportional to the area of the region. He concluded that the black hole entropy is directly proportional to the __area__ of the event horizon." (__'s mine) |
If you apply that definition recursively. i.e, n in n - 1 , n - 1 in n - 2 and so on. You can ideally represent every thing in the very first dimension itself.