Redshift quantization
Redshift quantization, also referred to as redshift periodicity,
In
In 1973, astronomer
Original investigation by William G. Tifft
György Paál (for QSOs, 1971[13]) and William G. Tifft (for galaxies) were the first to investigate possible redshift quantization, referring to it as "redshift-magnitude banding correlation".[14] In 1973, he wrote:
- "Using more than 200 redshifts in Coma, Perseus, and A2199, the presence of a distinct band-related periodicity in redshifts is indicated. Finally, a new sample of accurate redshifts of bright Coma galaxies on a single band is presented, which shows a strong redshift periodicity of 220 km s−1. An upper limit of 20 km s−1 is placed on the internal Doppler redshift component of motion in the Coma cluster".[15]
Tifft suggested that this observation conflicted with standard cosmological scenarios. He states in summary:
- "Throughout the development of the program it has seemed increasingly clear that the redshift has properties inconsistent with a simple velocity and/or cosmic scale change interpretation. Various implications have been pointed out from time to time, but basically the work is observationally driven."[16]
Early research - focused on galaxies rather than quasars
In 1971 from redshift quantization
Studies performed in the 1980s and early 1990s produced confirmatory results:
- In 1989, Martin R. Croasdale reported finding a quantization of redshifts using a different sample of galaxies in increments of 72 km/s or Δz = 2.4×10−4 (where Δz denotes shift in frequency expressed as a proportion of initial frequency).[18]
- In 1990, Bruce Guthrie and William Napier reported finding a "possible periodicity" of the same magnitude for a slightly larger data set limited to bright spiral galaxies and excluding other types.[19]
- In 1992, Guthrie and Napier proposed the observation of a different periodicity in increments of Δz = 1.24×10−4 in a sample of 89 galaxies.[20]
- In 1992, Paal et al. and Holba et al. concluded that there was an unexplained periodicity of redshifts in a reanalysis of a large sample of galaxies.[21][22]
- In 1997, Guthrie and Napier concluded the same:
- "So far the redshifts of over 250 galaxies with high-precision HI profiles have been used in the study. In consistently selected sub-samples of the datasets of sufficient precision examined so far, the redshift distribution has been found to be strongly quantized in the galactocentric frame of reference. ... The formal confidence levels associated with these results are extremely high."[23]
Quasar redshifts
Most recent discourse has focused upon whether
Karlsson's formula
Historically, K. G. Karlsson and G. R. Burbidge were first to note that quasar redshifts were quantized in accordance with the empirical formula[24][25]
where:
- refers to the magnitude of redshift (shift in frequency as a proportion of initial frequency);
- is an integer with values 1, 2, 3, 4 ...
This predicts periodic redshift peaks at = 0.061, 0.30, 0.60, 0.96, 1.41, and 1.9, observed originally in a sample of 600 quasars,[26] verified in later early studies.[27]
Modern discourse
A 2001 study by Burbidge and Napier found the pattern of periodicity predicted by Karlsson's formula to be present at a high
In 2002, Hawkins et al. found no evidence for redshift quantization in a sample of 1647 galaxy-quasar pairs from the 2dF Galaxy Redshift Survey:
- "Given that there are almost eight times as many data points in this sample as in the previous analysis by Burbidge & Napier (2001), we must conclude that the previous detection of a periodic signal arose from the combination of noise and the effects of the window function."[29]
In response, Napier and Burbidge (2003) argue that the methods employed by Hawkins et al. to remove noise from their samples amount to "excessive data smoothing" which could hide a true periodicity. They publish an alternate methodology for this that preserves the periodicity observed in earlier studies.[30]
In 2005, Tang and Zhang found no evidence for redshift quantization of quasars in samples from the Sloan Digital Sky Survey and 2dF redshift survey.[9]
Arp et al. (2005) examined sample areas in the 2dF and SDSS surveys in detail, noting that quasar redshifts:
- "... fit very closely the long standing Karlsson formula and strongly suggest the existence of preferred values in the distribution of quasar redshifts."[31]
A 2006 study of 46,400 quasars in the SDSS by Bell and McDiarmid discovered 6 peaks in the redshift distribution consistent with the decreasing intrinsic redshift (DIR) model.[7] However, Schneider et al. (2007) and Richards et al. (2006) reported that the periodicity reported by Bell and McDiarmid disappears after correcting for selection effects.[32][33] Bell and Comeau (2010) concur that selection effects give rise to the apparent redshift peaks, but argue that the correction process removes a large fraction of the data. The authors argue that the "filter gap footprint" renders it impossible to verify or falsify the presence of a true redshift peak at Δz = 0.60.[34]
A 2006 review by Bajan et al. discovered weak effects of redshift periodization in data from the
A 2007 absorption spectroscopic analysis of quasars by Ryabinkov et al. observed a pattern of statistically significant alternating peaks and dips in the redshift range Δz = 0.0 − 3.7, though they noted no statistical correlation between their findings and Karlsson's formula.[36]
References
- ^
Tifft, W. G. (2006). "Redshift periodicities, The Galaxy-Quasar Connection". S2CID 120143840.
- Bibcode:1971A&A....13..333K.
- S2CID 120014695.
The clusters and the galaxies in them tend to be strong X-ray and radio emitters, and their redshifts occur at preferred redshift values.
- doi:10.1086/151844.
- Bibcode:1981A&A....95..188N.
- S2CID 119570960.
- ^ S2CID 17057129.
- S2CID 119388085.
- ^ S2CID 119052857.
- ^ For examples, see references by nonstandard cosmology proponents
- Ratcliffe, Hilton (2009). "A Review of Anomalous Redshift Data". 2nd Crisis in Cosmology Conference, CCC-2 ASP Conference Series. 413: 109. Bibcode:2009ASPC..413..109R.
- Bell, Moley B. (1973). "A Quantitative Alternative to the Cosmological Hypothesis for Quasars". The Astrophysical Journal. 186: 1–21. doi:10.1086/152474
- Ratcliffe, Hilton (2009). "A Review of Anomalous Redshift Data". 2nd Crisis in Cosmology Conference, CCC-2 ASP Conference Series. 413: 109.
- Kipper, A. Ia. (1979). "periodicity of quasar redshifts ln /1 + z/". Astronomicheskii Zhurnal. 56: 232–236. Bibcode:1979AZh....56..232K.
- Laviolette, P. A. (1986). "Is the universe really expanding?". The Astrophysical Journal. 301: 544. doi:10.1086/163922.
- Barnothy, J. M.; Bibcode:1980BAAS...12..852B.
- ISBN 978-0-9683689-0-9. Archived from the originalon 2006-10-20.
- S2CID 119819755.
- ^
Paál, G. (1971). "The global structure of the universe and the distribution of quasi-stellar objects". S2CID 118710050.
- doi:10.1086/157719.
- Bibcode:1974IAUS...58..243T.
- S2CID 189849264.
- ^
Paál, G. (1971). "The global structure of the universe and the distribution of quasi-stellar objects". S2CID 118710050.
- doi:10.1086/167882.
- Bibcode:1990MNRAS.243..431G.
- .
- S2CID 116951785.
- S2CID 4356867.
- S2CID 73557034.
- doi:10.1086/180265.
- Bibcode:1990A&A...239...50K.
- S2CID 250841536.
- S2CID 118379051.
- S2CID 15751692.
- S2CID 6832490.
- .
- )
- S2CID 14359163.
- S2CID 55346862.
- S2CID 118655062.
- S2CID 15364493.
- S2CID 16270925.