"The 7 Strangest Coincidences in the Laws of Nature" (S. Hossenfelder)

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SUMMARY

The forum discussion centers on the analysis of seven peculiar coincidences in the laws of nature as presented by physicist Sabine Hossenfelder. Key coincidences include the proton/electron mass ratio, the Koide formula, and the relationship between dark matter and dark energy densities. The discussion highlights the historical context and theoretical implications of these coincidences, emphasizing the need for further exploration in particle physics and cosmology. Notably, the Koide formula and the cosmological constant's geometric mean are deemed more plausible than others, reflecting ongoing debates in the scientific community.

PREREQUISITES
  • Understanding of particle physics, specifically the Higgs mechanism and quark-gluon interactions.
  • Familiarity with cosmological concepts such as dark energy and the flatness problem.
  • Knowledge of quantum field theory, particularly the concepts of true and false vacuum states.
  • Awareness of the standard model of particle physics and its implications for mass generation.
NEXT STEPS
  • Research the implications of the Higgs mechanism on particle mass generation.
  • Explore the Koide formula and its generalizations in particle physics.
  • Investigate the concept of vacuum decay in quantum field theory.
  • Study the relationship between dark matter and dark energy, focusing on Paul Steinhardt's theories.
USEFUL FOR

Physicists, cosmologists, and students of theoretical physics interested in the intersections of particle physics and cosmology, particularly those exploring the implications of coincidences in fundamental laws of nature.

  • #61
martinbn said:
How could it be! One is trancendental and the other is not.
I have a question to you.
Can a Transcendental number to the power of algebraic number be a Trascendental number?

For example take ##e^{\varphi}##, where ##\varphi## is the golden number solution to ##x^2+x+1=0##, how would one prove that it's transcendental?

Can ##\pi## be a Transcendental number raise to the power of an algebraic number?

That would be interesting if it's possible, and if it's not then I would welcome a proof/argument why it's not.
 
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  • #62
billtodd said:
Can π be a Transcendental number raise to the power of an algebraic number?
π = π1.
 
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  • #63
Looks like its that time again. This thread has run its transcendental course back to itself and so its a good time to close it.

Thank you all for contributing here.

Jedi
 
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