[Paper Review] The superstring representation of the universe of codes

Andrea Gregori|arXiv (Cornell University)|Jun 14, 2012

Algorithms and Data Compression7 references3 citations

TL;DR

This paper proposes that the universe's fundamental structure emerges from the entropy-weighted sum of all logical codes, with the continuum limit naturally yielding superstring theory as the effective description. It derives particle masses, couplings, and the strong force from geometric and entropic principles in phase space, predicting observable resonances in high-energy colliders such as the LHC, including excited proton states near 250 GeV and 125 GeV.

ABSTRACT

We discuss the continuum field theory limit of the physical scenario described in Ref. [1], the universe arising from the interpretation of the most general collection of logical codes in terms of distributions of units of energy along units of space. This limit leads in a natural way to string theory as the theory which allows to perturbatively parametrize the geometric structures in terms of propagating particles and fields. We discuss some general properties of the spectrum, masses and couplings, the existence of the strong force, with particular attention to the excited states, and the implications for the physics of high energy colliders.

Motivation & Objective

• To establish a unified framework where the physical universe arises from the statistical sum of all logical codes.
• To derive the emergence of string theory as the continuum limit of a discrete, information-theoretic model of spacetime.
• To explain the origin of particle masses, couplings, and the strong force through entropic dynamics in phase space.
• To predict observable resonances in high-energy proton-antiproton collisions from excited states in the string spectrum.

Proposed method

• Uses the partition function Ψ(E) = ∑_Ψ(E) e^{S(Ψ)} as the generating functional for all observables, with entropy S derived from phase space volume W(Ψ).
• Applies a logarithmic map to transition from discrete combinatorial codes to continuous string field theory in the large-energy limit.
• Derives particle masses and couplings as functions of the universe's age (total energy E), using phase space volume scaling.
• Models the strong force as an entropic consequence of coupling to gravity and non-perturbative phase space constraints.
• Constructs a string path integral to describe resonance phenomena, linking entropy-weighted sums to the Feynman path integral in the field theory limit.
• Predicts excited proton states via multiplicative phase space relations, estimating masses from effective coupling constants.

Experimental results

Research questions

• RQ1 How does the continuum limit of a discrete universe of logical codes lead to superstring theory as the effective physical theory?
• RQ2 What is the origin of particle masses and couplings in a framework where dynamics is purely entropic?
• RQ3 Why does a strong force necessarily emerge in this entropic model, and how is it related to gravity and the Higgs mechanism?
• RQ4 How do resonances in high-energy collisions arise from the entropy-weighted sum of configurations?
• RQ5 What are the predicted masses and decay channels of excited proton and lepton states in this framework?

Key findings

• The continuum limit of the entropy-weighted sum over all logical codes naturally leads to superstring theory as the effective description of spacetime and fields.
• Particle masses and couplings are determined by phase space volumes and energy scaling, with masses scaling as functions of the universe's age (total energy E).
• The strong force emerges as a necessary consequence of coupling to gravity and non-perturbative phase space constraints, not as a fundamental interaction.
• Excited proton states are predicted at approximately 250 GeV from the p̄p bound state, with additional resonances at ~125 GeV from (p e⁻) and (p μ) states.
• The resonance structure in proton-antiproton collisions arises from multiplicative phase space effects, with enhanced cross-sections at specific energy thresholds.
• The path integral in the field theory limit is recovered as a large-N approximation of the entropy-weighted sum, with Gaussian suppression of off-resonance configurations.