

A164040


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


0



3, 3, 8, 2, 0, 2, 3, 5, 4, 0, 0
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OFFSET

39,1


COMMENTS

The geometric mean of a large N value in Planck square mass units in the midpoint isospin symmetry transition where exists superposition of protonicneutronic degenerate matter in a spherical gravitationally collapsing system.
The sequence data corresponds to the Codata 2010 value alpha = 0.0072973525698 (= A003673, as of today).  M. F. Hasler, Feb 02 2014


REFERENCES

Thibault Damour, 'The Theoretical significance of G', Meas. Sci. Technol., 10 467469 1999
Vincent Icke, 'The force of symmetry', Cambridge University Press, 1995
NIST Physics Laboratory, Constants, Units and Uncertainty, Gaithersburg, MD


LINKS

Table of n, a(n) for n=39..49.
NIST Physics Laboratory, Constants
M. A. Thomas, Math Ontological Basis of Quasi FineTuning in Ghc Cosmologies, HAL preprint Id: hal01232022, 2015.
M. A. Thomas, Number Theoretic Structural Approach to Dimensionless Physics Forms, HAL preprint Id: hal01580821 [math.NT], 2017.


FORMULA

2((1/(alpha))^4 E^((Pi/4)*(1/(alpha)))(2/E)^(0.25))^1


EXAMPLE

2*0.0072973525698^4*exp(Pi/(4*0.0072973525698))*(e/2)^(1/4) = 3.3820235400* 10^38 (dimensionless)


MATHEMATICA

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 *)


CROSSREFS

Cf. A161771, A162916
Sequence in context: A165507 A212636 A282255 * A154178 A276800 A212809
Adjacent sequences: A164037 A164038 A164039 * A164041 A164042 A164043


KEYWORD

nonn,cons,obsc


AUTHOR

Mark A. Thomas, Aug 08 2009


EXTENSIONS

Sequence updated to reflect Codata 2010 value; several corrections.
Edited by Joerg Arndt and M. F. Hasler, Feb 02 2014


STATUS

approved



