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Cellular Automaton Of Quantum Mechanics

The most famous introduction to this idea is John Horton Conway’s Game of Life, published in 1970. An infinite grid of squares is used for this “zero-player game” where each cell is “alive” or “dead.” Three straightforward guidelines dictate its fate in the upcoming “tick” of time:

• Underpopulation: A living cell dies if it has fewer than two living neighbors.
• Survival: Two or three living neighbors help a living cell survive.
• Overpopulation: When there are more than three living neighbors in a living cell, it dies.
• Reproduction: A dead cell that has precisely three living neighbors turns into a living cell.

Stable “blocks,” vibrating “pulsars,” and “gliders” that move over the grid like microscopic digital animals are just a few examples of the Game of Life’s astounding intricacy despite its seeming simplicity. For many, this is a proof of concept for emergence rather than just a fun hobby. Digital physicists contend that if a two-dimensional grid with fundamental rules can replicate a universal Turing machine a computer that can perform any computation a three-dimensional version might theoretically create the entire physical world.

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“It from Bit”: The Information Revolution

The physicist John Wheeler, the transition to a digital world was best described by the term “It from Bit.” Wheeler suggested that the “bits” of information that describe each particle, field, force, or “it” are what give them their existence. According to this perspective, information is the fundamental substance of reality rather than matter or energy.

The “laws of physics” we witness are only the macroscopic explanations of underlying quantum computing processes if the cosmos is a cellular automaton. The “smooth” space-time of Einstein’s General Relativity may represent an approximation of a discrete, digital lattice, much like a fluid appears smooth to the unaided eye but is actually made up of discrete molecules. The idea that quantum mechanics itself might be viewed as a type of computation in which the laws of physics are algorithms operating on a cosmic computer has been advanced by quantum computing pioneer David Deutsch.

Stephen Wolfram and Computational Irreducibility

Stephen Wolfram has arguably pushed this threshold the furthest. Wolfram contends that conventional differential equation-based mathematical methods have reached a dead end in his book A New Kind of Science. He says that basic quantum algorithms can mimic the “irreducible complexity” found in nature, such as storm turbulence and seashell patterns.

Rule 30, a one-dimensional cellular automaton CA that creates a pattern so intricate it seems random, is Wolfram’s key finding. This leads to the idea of “computational irreducibility,” which holds that you have to operate a system to see what it will do; there is no quick way to know what it will do. Even though the underlying laws are fully deterministic, the future is essentially unpredictable the universe is such a system.

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Bridging the Quantum Divide

Quantum mechanics is one of the biggest obstacles to the theory of cellular automaton CA. The local rules of a digital grid appear to conflict with the “spooky” non-locality of entangled particles. But according to Nobel winner Gerard Hooft’s “Cellular Automaton Interpretation of Quantum Mechanics,” quantum states are mathematical tools that explain a deeper, deterministic classical system that is too small or rapid for us to directly see.

The “collapse of the wavefunction” is merely an update of understanding of the underlying digital state, according to this theory. Additionally, the holographic principle, which was put forth by Leonard Susskind and Hooft, all of the information contained in a volume of space can be represented on its boundary. This is consistent with the CA model, which suggests that impression of three dimensions may be an emergent projection from a grid of cells with a lower dimension.

The Thermodynamics of Forgetting

The Landauer principle also underpins the relationship between information and the material environment. It was created by Rolf Landauer in 1961 and asserts that a minimum energy expenditure is necessary to erase a single piece of data. The physical cost of “forgetting” is implied by this fundamental law of thermodynamics. This energy need might be the primary cause of the universe’s expansion and the arrow of time in a computational world.

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The Quest for Proof

The cellular automaton CA universe is still mostly theoretical, researchers are looking for experimental confirmation. David Wineland and others mimic basic physical systems using trapped ions as qubits. In order to determine whether these artificial systems display the same emergent qualities as the real world, scientists plan to manipulate these atoms. Furthermore, rather than continuous changes that may support a rule-based reality, physicists are searching for discrete symmetries in experimental data transformations that entail precise, definite steps.

In conclusion

The cellular automaton concept raises some shocking philosophical issues if we take it seriously. What is the hardware if the cosmos is a computer? Is the cosmos a “self-excited circuit” that computes itself into existence, or is there a “Great Programmer”?

The lesson is the same whether we are living in a natural digital loom or a cosmic simulation: the universe is an information process. We are the “gliders” of a far bigger game, the emergent patterns traversing a grid whose rules they are just starting to understand.

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