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Search: id:A165268
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| 8, 0, 7, 2, 8, 7, 5, 3, 5, 8, 8, 9, 8, 1, 6, 3, 4, 2, 4, 8, 8, 0, 9, 9, 9, 4, 6, 5, 4, 0, 4, 3, 9, 2, 4, 9, 1, 4, 5, 7, 2, 6, 7, 1, 0, 6, 8, 1, 7, 7, 6, 2, 0, 8, 9, 2, 6, 2, 1, 3, 7, 5, 9, 3, 5, 3, 0, 5, 8, 6, 2, 3, 9, 8, 0, 2, 1, 1, 5, 7, 7, 3, 6, 6, 5, 1, 7, 4, 9, 1, 3, 8, 6, 9, 5, 8, 2, 8, 3, 2, 1, 7, 9, 2, 4
(list; cons; graph; listen)
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OFFSET
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57,1
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COMMENT
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This is the number of 'degrees of freedom' of degenerate quantum states bound at or near the event horizon of a black hole based on large N = A161771 Planck mass squared units,
It should be kept in mind that all 4 types of stellar objects; star, dwarf, neutron star and black hole can have masses at the Landau mass scale M_L. The differences are in zero point pressures due to 'equation of state' of matter in these types. The Landau mass scale M_L can be obtained by fixing the number of 'degrees of freedom' by utilising A161771 Planck mass square units as a natural scale: M_L = (1/e)(A161771/2)^(3/2)*2mn = 2.704295722* 10^30 kg, where mn = neutron mass (CODATA 2006) or utilising the Planck mass: M_L = A161771* Mp * 1/e = 2.70415* 10^30 kg, where Mp = Planck mass (CODATA 2006)
According to the literature of stellar formation, typical star mass is noted to be in the range of 10^56 - 10^59 nucleon content.
A165268 rpresents a natural modification of the N^3/2 number in the N sequence of 'magic numbers' propounded by Harrison,
. ...N^-2, N^-3/2, N^-1, N^-1/2, 1, N^1/2, N, N^3/2, N^2,...
Whereas, A165268 representation in the scheme is (1/e)(N/2)^(3/2).
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REFERENCES
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Pranab Ghosh, 'Rotation and accretion powered pulsars', World Scientific Publishing Company, 42-70 April 2007
Edward R. Harrison, 'Cosmology:the science of the universe', Cambridge University Press, 480 1981
Ramzi R. Khuri, 'Remarks on black hole degrees of freedom in string theory', Nuclear Physic B Vol. 617, Issues 1-3, 365-374, December 2001
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LINKS
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NIST Physics Laboratory, Constants
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FORMULA
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(1/e)((exp^2(pi*sqrt163) 70^2)/2)^(3/2)
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EXAMPLE
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(1/e) ((exp^2(pi*sqrt163) 70^2)^(3/2) = 807287535889816342488099946540439249145726710681776208926.2137593530586239802115773665174913869582832179247817
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MATHEMATICA
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(1/E)(((E^(pi Sqrt[163]))^2 70^2)/2)^(3/2)
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CROSSREFS
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Cf. A161771. Related to A165267
Sequence in context: A091474 A059679 A154461 this_sequence A133741 A066606 A048729
Adjacent sequences: A165265 A165266 A165267 this_sequence A165269 A165270 A165271
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KEYWORD
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nonn,cons
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AUTHOR
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Mark A. Thomas (monstrousgaugetheory(AT)gmail.com), Sep 12 2009
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