Kothari, D. S.
(1939)
*The meson and cosmology*
Nature, 144
.
p. 548.
ISSN 0028-0836

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Official URL: http://www.nature.com/nature/journal/v144/n3647/ab...

Related URL: http://dx.doi.org/10.1038/144548a0

## Abstract

The mean life τ_{0} (τ_{0} ~ 2.5 × 10^{-6} sec.) of a meson at rest gives us a new fundamental constant of the dimension of time which lies intermediate between the 'atomic constant' and the 'cosmological constant' τ_{0} (τ_{0} ~ 2 × 10^{2} years). R_{0} denotes the 'classical radius' of the meson, , where the symbols have their usual meaning. We shall take μ = 170m, where m is the mass of an electron. We can construct from these basic time units (τ_{a}, τ_{0}, τ_{0}) three dimensionless 'large numbers', , and if, following Dirac and others, we make the hypothesis that 'large numbers' are interrelated, we have In comparing such large numbers any differences by factors of about 10^{3} are to be ignored, as these could be easily taken account of by introducing the dimensionless numbers such as the fine-structure constant Rc/e^{2}, μ/m and H/m, H being the mass of a proton. Further, on this hypothesis we can connect the above large numbers with the (familiar) large number e^{2}/Gμ^{2} ~ 1.4 × 10^{28} formed from the gravitational constant G and tho atomic constants e, μ. We have: Equation (3a) in the form has already been given by Blackett1.

Item Type: | Article |
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ID Code: | 32521 |

Deposited On: | 30 Mar 2011 11:17 |

Last Modified: | 09 Jun 2011 08:35 |

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