Universe creation on a computer

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Abstract

The purpose of this paper is to provide an account of the epistemology and metaphysics of universe creation on a computer. The paper begins with F.J. Tipler's argument that our experience is indistinguishable from the experience of someone embedded in a perfect computer simulation of our own universe, hence we cannot know whether or not we are part of such a computer program ourselves. Tipler's argument is treated as a special case of epistemological scepticism, in a similar vein to ‘brain-in-a-vat’ arguments. It is argued that Tipler's hypothesis that our universe is a program running on a digital computer in another universe, generates empirical predictions, and is therefore a falsifiable hypothesis. The computer program hypothesis is also treated as a hypothesis about what exists beyond the physical world, and is compared with Kant's metaphysics of noumena. It is argued that if our universe is a program running on a digital computer, then our universe must have compact spatial topology, and the possibilities of observationally testing this prediction are considered. The possibility of testing the computer program hypothesis with the value of the density parameter Ω0 is also analysed. The informational requirements for a computer to represent a universe exactly and completely are considered. Consequent doubt is thrown upon Tipler's claim that if a hierarchy of computer universes exists, we would not be able to know which ‘level of implementation’ our universe exists at. It is then argued that a digital computer simulation of a universe, or any other physical system, does not provide a realisation of that universe or system. It is argued that a digital computer simulation of a physical system is not objectively related to that physical system, and therefore cannot exist as anything else other than a physical process occurring upon the components of the computer. It is concluded that Tipler's sceptical hypothesis, and a related hypothesis from Bostrom, cannot be true: it is impossible that our own experience is indistinguishable from the experience of somebody embedded in a digital computer simulation because it is impossible for anybody to be embedded in a digital computer simulation.

Section snippets

The epistemology of universe creation on a computer

Tipler has suggested that our universe could be a computer program running on a computer in another universe (see, for example, Tipler (1989, pp. 240–244) and Tipler (1995, pp. 206–209)). Tipler imagines a perfect computer simulation of our universe, which precisely matches the evolution in time of our own universe, and precisely represents every property of every entity in our universe. Such a simulation would simulate all the people who exist in our own universe. Such simulated people,

The metaphysics of universe creation on a computer

The hypothesis that our universe is a program running on a computer in another universe is not merely a sceptical epistemological hypothesis, but a metaphysical hypothesis, in the sense defined below.

The term ‘metaphysics’ seems to have at least two different meanings. On the one hand, it is the study of that which possibly exists beyond the physical world. On the other hand, it is a whole group of philosophical subjects, such as the studies of time, causation, substance, and universals. These

Deriving empirical predictions from the metaphysical hypothesis

This section proposes that Tipler's metaphysical hypothesis that our universe is a program running on a digital computer, entails that:

  • the universe is discrete;

  • the solutions to the fundamental evolution equations of physics must be computable functions;

  • the spatial universe has compact topology.

These predictions are empirically testable, hence Tipler's metaphysical computer program hypothesis is empirically testable. It will be demonstrated in this section that Tipler's computer program

Supervenience, identity, and universe creation on a computer

The suggestion that a physical system can be perfectly simulated on a computer is consistent with the principle of supervenience, but suggests that a physical system can be realised on more than one medium. Suppose, for example, that a tornado could be perfectly simulated on a computer. A tornado is described by a solution of the Navier–Stokes equations.14

A digital computer simulation of a universe cannot exist as a universe

A digital computer simulation of a physical system cannot exist as (does not possess the properties and relationships of), anything else other than a physical process occurring upon the components of a computer. In the contemporary case of an electronic digital computer, a simulation cannot exist as anything else other than an electronic physical process occurring upon the components and circuitry of a computer. The following argument will be deployed to establish this conclusion:

  • 1.

    A digital

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