[Paper Review] Seeking Inspiration from the Standard Model in Order to Go Beyond it

H. B. Nielsen, Svend E. Rugh+1 more|ArXiv.org|Jul 3, 1994

Particle physics theoretical and experimental studies9 references13 citations

TL;DR

This paper explores the Standard Model as a source of inspiration for physics beyond it, focusing on unexplained parameters and structure. By analyzing 90 bits of information in the Standard Model's representation system through four postulates, the authors estimate ~200 useful bits of unexplained information remain, suggesting a path toward new physics at smaller distance scales.

ABSTRACT

We look at various features of the Standard Model with the purpose of exploring some possibilities of how to seek physical laws beyond it, i.e. at even smaller distances. Only parameters and structure which are not calculable from the Standard Model is considered useful information. Ca. $90$ bits of information contained in the system of representations in the Standard Model are explained by four reasonable postulates. A crude estimate is that there is of the order of $\sim 2 imes 10^2$ useful bits of unexplained information left today. There are several signs of the fact that the Standard Model is a low energy tail of a more fundamental theory (not yet known). However, some worries are expressed as concerns how far the exploration of the physics beyond the Standard Model can proceed - if we are to be inspired from these $\sim 2 imes 10^2$ bits alone.

Motivation & Objective

• To identify and analyze features of the Standard Model that could guide the search for a more fundamental theory.
• To distinguish between calculable and uncalculable parameters in the Standard Model to isolate useful information for new physics.
• To estimate the amount of unexplained information in the Standard Model's structure that might point to new physical laws.
• To assess the feasibility of deriving new physics from the remaining unexplained parameters in the Standard Model.
• To explore whether the Standard Model's structure is a low-energy remnant of a deeper, unknown theory.

Proposed method

• Analyzing the representation system of the Standard Model to extract information content, quantified in bits.
• Formulating four postulates that reasonably explain the 90 bits of information found in the Standard Model's representation structure.
• Estimating the total number of useful, unexplained bits in the Standard Model as ~2×10², based on the difference between total information and that explained by the postulates.
• Focusing only on non-calculable parameters and structural features to avoid circular reasoning in theoretical development.
• Using information-theoretic reasoning to assess the potential of the Standard Model as a guide to physics at shorter distances.
• Evaluating the Standard Model as a low-energy effective theory, suggesting it may be part of a more fundamental framework.

Experimental results

Research questions

• RQ1 What aspects of the Standard Model's structure contain unexplained information that could guide new physics?
• RQ2 How many bits of useful, non-calculable information remain in the Standard Model after accounting for known symmetries and postulates?
• RQ3 Can the Standard Model's representation system be explained by a small set of reasonable postulates, and what does this imply for new physics?
• RQ4 To what extent can the Standard Model serve as a guide for physics beyond the Standard Model, based solely on its unexplained parameters?
• RQ5 Is the Standard Model a low-energy remnant of a more fundamental theory, and what evidence supports this?

Key findings

• The Standard Model's representation system contains approximately 90 bits of information that can be explained by four reasonable postulates.
• There are roughly 2×10² useful bits of unexplained information remaining in the Standard Model, which may contain clues to new physics.
• The paper identifies that only non-calculable parameters and structural features in the Standard Model are useful for inspiring new theories.
• The authors express concern about the limited scope of progress in beyond-Standard-Model physics if constrained to rely only on these ~200 bits of information.
• The Standard Model shows signs of being a low-energy effective theory, suggesting it emerges from a deeper, unknown fundamental theory.
• The information-theoretic approach provides a framework to quantify the remaining mystery in the Standard Model, offering a path toward new physics.