A164040 - OEIS

%I #88 Oct 21 2023 15:51:38

%S 3,3,8,2,0,2,3

%N Decimal expansion of 2*alpha^4*e^(Pi/(4*alpha))*(e/2)^(1/4), where alpha is the fine structure constant A003673.

%C The geometric mean of a large N value in Planck square mass units in the midpoint isospin symmetry transition where exists superposition of protonic-neutronic degenerate matter in a spherical gravitationally collapsing system.

%C The sequence data corresponds to the Codata 2010 value alpha = 0.0072973525..., as of today (= A003673). - _M. F. Hasler_, Feb 02 2014

%D Vincent Icke, The force of symmetry, Cambridge University Press, 1995.

%H Thibault Damour, <a href="https://doi.org/10.1088/0957-0233/10/6/309">The Theoretical significance of G</a>, Meas. Sci. Technol., 10, 467-469 (1999), <a href="https://arxiv.org/abs/gr-qc/9901046">arXiv:gr-qc/9901046</a>, 1999.

%H NIST Physics Laboratory, <a href="http://physics.nist.gov/cuu/Constants/index.html">Constants</a>

%H NIST Physics Laboratory, <a href="https://physics.nist.gov/cuu/pdf/tn1297.pdf">Constants, Units and Uncertainty</a>, Gaithersburg, MD.

%e 2*0.0072973525...^4*exp(Pi/(4*0.0072973525...))*(e/2)^(1/4) = 3.382023...*10^38 (dimensionless).

%t With[{alpha = UnitConvert[Quantity["FineStructureConstant"]]}, First@ RealDigits[2 ((1/(alpha))^4 E^(-Pi/(4 alpha)) (2/E)^(1/4))^-1]] (* _Michael De Vlieger_, Feb 19 2018 *)

%Y Cf. A161771, A162916.

%K nonn,cons,obsc

%O 39,1

%A _Mark A. Thomas_, Aug 08 2009

%E Sequence updated to reflect Codata 2010 value; several corrections.

%E Edited by _Joerg Arndt_ and _M. F. Hasler_, Feb 02 2014