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A programmed computer can behave in ways that are considered intelligent. In computer science the Turing Hypothesis states that all intelligence can be reduced to a single program, running on a simple computer, and written in a simple language. The universe contains at least one example of intelligence: ourselves. The computing-element reality model offers an easy explanation for this intelligence, because all intelligence in the universe can spring from the computing elements and their program.
At this point one can make the distinction between two classes of particles: common particles and intelligent particles. Classify all the particles of physics as common particles. Prime examples of common particles are electrons, photons, and quarks. In general, a common particle is a particle with relatively simple state information, consisting only of attribute values. This simplicity of the state information allows the interactions between common particles to be expressed with mathematical equations. This satisfies the requirement of the mathematics-only reality model, so both models allow common particles.
Besides common particles, the computing-element reality model allows the existence of intelligent particles. In general, an intelligent particle is a particle whose state information is much more complex than the state information of a common particle. Specifically, besides current attribute values, the state information of an intelligent particle typically includes learned programs (section 3.6), and data used by those learned programs.
In general, given that the state information of an intelligent particle is much more complex than the state information of a common particle, and given the typical complexity of an intelligent particle’s learned programs, expressing with mathematical equations the interactions involving intelligent particles is impossible. This explains why intelligent particles are absent from the mathematics-only reality model.
Regarding the movement of a particle thru space, the most simple explanation is that this movement is a straightforward copying of that particle’s information block from one computing element to a different computing element, and then erasing the original.