When we look up at the starry sky and think about the nature of the universe, can we believe that all this is just a projection? In the world of physics, there is a fascinating theory - the holographic principle. This theory claims that all the information of a spatial volume can be described on a certain low-dimensional boundary. That is to say, our three-dimensional universe may just be a hologram of a lower-dimensional surface.
Guard Hoft, a physicist in the 1970s who proposed the holographic principle, once said: "Our three-dimensional world is actually just a projection of information on a two-dimensional surface."
The theory's roots can be traced back to the Bekenstein bound in black hole thermodynamics, which states that the maximum entropy in any region is proportional to its area, not its volume. This means that even the entire information about the interior of a black hole may be completely contained by fluctuations on the surface of the event horizon.
Many physicists are fascinated by the possibility of this theory, especially in the context of exploring quantum gravity. Isabella Scarpa and Leonard Susskind took this line of thought further and emphasized the deep connection between the surface of the universe and our everyday experience.
Scapa wrote: "The three-dimensional world of common experience - the universe with galaxies, stars, planets, houses, boulders and people - is actually a hologram, a map projected onto a distant two-dimensional surface. Realistic image.”
The holographic principle not only sparks debate in cosmology, it also redefines our understanding of intelligence and information. In his article, Bekenstein asked: "Can we see a world in a grain of sand, or is this idea just a poetic exaggeration?" This expresses the endless possibilities for scientists to explore the nature of the universe.
An important discovery is the conceptual equivalence between thermodynamic entropy and information entropy. Claude Shannon, the founder of information theory, discovered early in his work that entropy can be used to quantify the content of information. When we relate Shannon entropy to the thermodynamic definition of entropy, the nature of the two is no longer so obvious.
As Bekenstein states in his article: "Thermodynamic entropy and Shannon entropy are conceptually equivalent."
The structure of black hole interiors has sparked countless debates, especially regarding the question of black hole entropy. According to Bekenstein, the entropy of a black hole is proportional to the area of its event horizon, an idea that leads us to reconsider the traditional definition of entropy. This leads to the emergence of the black hole information paradox, that is, when information enters a black hole, it seems to disappear. Does this violate the principle of information conservation?
The theory of black hole radiation, first proposed by Stephen Hawking, sheds new light on the problem; as black holes emit radiation, they appear to be leaking information about their interior. Hawking's research shows that black holes are not absolutely dark, but like a hot object, they gradually release energy in the cloud. In this case, how does the presence of a black hole affect information? Do they actually preserve, to some degree, what goes into them?
One of the most explicit realizations of the holographic principle is the anti-de Sitter/conformal field theory correspondence (AdS/CFT), which reveals a deep connection between quantum gravity and quantum field theory. This showed that under certain conditions, the quantum theory of strong coupling can be mapped onto a more manageable theory of gravity and provide solutions to complex physical problems. This discovery is crucial to our understanding of how the universe works.
Although the theoretical basis of the holographic principle is very attractive, this view still needs further experimental observations to support it. Scientists are designing various experiments to test whether holographic noise exists in gravitational wave detectors, which could further support the existence of quantum gravity. Bekenstein also tried to design a simple experiment to test the validity of the holographic principle.
In the past few decades, humanity has made amazing progress in its understanding of information, nature, the universe, and black holes. However, we still face many challenges as we explore the profound implications of the holographic principle. Is the universe we live in really just an illusion of light and shadow?