## Combinatorics, Observables, and String Theory

**Authors:** Andrea Gregori

We investigate the most general "phase space" of configurations, consisting of all possible
ways of assigning elementary attributes, "energies", to elementary positions, "cells". We discuss
how this space possesses structures that can be approximated by a quantum-relativistic
physical scenario. In particular, we discuss how the Heisenberg's Uncertainty Principle and
a universe with a three-dimensional space arise, and what kind of mechanics rules it. String
Theory shows up as a complete representation of this structure in terms of time-dependent
fields and particles. Within this context, owing to the uniqueness of the underlying mathematical
structure it represents, one can also prove the uniqueness of string theory.

**Comments:**
73 pages.

**Download:** **PDF**

### Submission history

[v1] 9 Mar 2011

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