> m_tau / m_mu = 16.817... phi^3 = 16.817...
> [...]
> Where did I go wrong?
If phi is the Golden ratio (1+sqrt(5))/2, then
- phi^4 is about 6.8541019662496845446137605
- phi^3 is about 4.23606797749978969640917366873127623544
--
Addendum: the only numerical coincidence that I am aware of concerning the masses of the electron, muon and tau is the Koide formula:
> https://en.wikipedia.org/wiki/Koide_formula
which says
(m_e + m_mu + m_tau)/(sqrt(m_e) + sqrt(m_mu) + sqrt(m_tau))^2 ≈ 2/3.
This is a numerical coincidence that physics cannot yet explain.
> m_tau / m_mu = 16.817... phi^3 = 16.817...
> [...]
> Where did I go wrong?
If phi is the Golden ratio (1+sqrt(5))/2, then
- phi^4 is about 6.8541019662496845446137605
- phi^3 is about 4.23606797749978969640917366873127623544
--
Addendum: the only numerical coincidence that I am aware of concerning the masses of the electron, muon and tau is the Koide formula:
> https://en.wikipedia.org/wiki/Koide_formula
which says
(m_e + m_mu + m_tau)/(sqrt(m_e) + sqrt(m_mu) + sqrt(m_tau))^2 ≈ 2/3.
This is a numerical coincidence that physics cannot yet explain.