Violation of the Inverse Square Law deduced from a Maximum-Likelihood Analysis of Observational Data on Fluxes and Distances of Radio Pulsars

Details Violation of the Inverse Square Law deduced from a Maximum-Likelihood Analysis of Observational Data on Fluxes and Distances of Radio Pulsars Violation of the Inverse Square Law deduced from a Maximum-Likelihood Analysis of Observational Data on Fluxes and Distances of Radio Pulsars

May 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011aas...21832001s&link_type=abstract

American Astronomical Society, AAS Meeting #218, #320.01; Bulletin of the American Astronomical Society, Vol. 43, 2011

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Scientific paper

We have analyzed pulsar fluxes at 1400 MHz (S1400) and distances (d) extracted from the Parkes Multi-beam Survey using the Maximum Likelihood and other statistical methods. The only assumptions of our analyses are that distribution of pulsar luminosities is distance-independent and that the flux varies as 1/dn, with n an adjustable parameter. If pulsars with singly-peaked pulse profiles, and f0w50 < 0.03, where f0 is the rotational frequency in Hz and w50 is the 50% width in seconds, are selected (comprising some 40% of the Parkes database), their flux is found to diminish with distance as 1/d, rather than as the conventional inverse square law. This result is extremely robust, with the error measure for n = 1 being some six orders of magnitude better than that for n = 2. By contrast, when applied to other astronomical objects, the same analysis techniques return the value n = 2 expected for the inverse-square law. Our result supports a model for pulsars based on the emission of radiation by superluminal polarization currents that has also successfully explained the frequency spectrum of the Crab and 8 other pulsars over 16 orders of magnitude of frequency. This work is supported by US Department of Energy LDRD program.

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