Constants of Nature (and SM Parameters)

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Discussion Overview

The discussion centers on the nature and calculation of fundamental constants in physics, exploring whether these constants can be derived from first principles or unified theories. Participants raise questions about the implications of these constants in the context of theories like String Theory and Loop Quantum Gravity, as well as the relationships between various constants and their derivations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants question whether any fundamental constants can be calculated from principles, noting that they are currently determined experimentally.
  • There is a discussion about the number of fundamental physical constants defined by NIST, with some participants mentioning that many are duplicates due to dimensionality.
  • Participants explore the relationships between constants, such as the electron gyromagnetic ratio and the tau particle's mass, suggesting that dimensionless analysis reveals interesting connections.
  • Questions arise regarding how permeability and permittivity of free space can be derived from constants like the gravitational constant, Planck constant, and speed of light.
  • Some participants express skepticism about the reliability of certain relationships and calculations, suggesting that they may be influenced by insufficient data for a Unified Theory.
  • There are references to specific equations and derivations related to electromagnetic theory and the implications of spacetime geometry on the nature of these constants.
  • Concerns are raised about the use of low-energy values of constants in calculations, advocating for consideration of their effective values at Grand Unified Theory energy scales.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether fundamental constants can be derived from first principles or unified theories. Multiple competing views are presented, particularly regarding the reliability of certain calculations and the implications of dimensional analysis.

Contextual Notes

Some discussions highlight the limitations of current theories and the uncertainties involved in the relationships between constants. The conversation reflects a variety of assumptions and interpretations regarding the fundamental nature of these constants.

  • #31
You might want to consider the Saha ionization equation and statistical mechanics more generally. Roughly, if an atom's environment's temperature is colder than the atom's ionization energy, the atom's electrons will stay in place. That will happen no matter how low its ionization temperature is. All that's necessary is an even lower environment temperature.
 

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