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

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Discussion Overview

The discussion centers around the various coincidences in the laws of nature as presented in Sabine Hossenfelder's video, focusing on topics in particle physics and cosmology. Participants explore the implications and interpretations of these coincidences, examining both mainstream and less conventional theories.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants discuss the proton/electron mass ratio being dismissed as a coincidence due to the different mechanisms by which these particles acquire mass, referencing historical perspectives and attempts to explain this ratio.
  • Others mention the Koide formula, noting its origins in preon models and the subsequent shift to Higgs-based explanations, with various generalizations proposed by different contributors.
  • The cosmological constant being the geometric mean of the Planck mass and the mass of the universe is introduced, with participants expressing uncertainty about the best explanations for this coincidence.
  • Discussion on the MOND acceleration constant being proportional to the square root of the cosmological constant includes interpretations suggesting a connection between local dynamics and cosmological conditions.
  • Participants highlight the coincidence of dark matter density being of the same order of magnitude as dark energy density, with references to Paul Steinhardt's views and the anthropic principle, while also exploring non-anthropic explanations.

Areas of Agreement / Disagreement

Participants express a range of views on the coincidences discussed, with no clear consensus on the plausibility or implications of the various theories. Multiple competing interpretations and models remain present throughout the discussion.

Contextual Notes

Some claims rely on historical interpretations and evolving theories, with unresolved mathematical steps and dependencies on specific definitions noted. The discussion reflects ongoing debates in both particle physics and cosmology.

  • #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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