A Periodicity Rule for Redshift Quantization
Session 56 -- Large-Scale Structure
Display presentation, Tuesday, 10, 1995, 9:20am - 6:30pm

## [56.05] A Periodicity Rule for Redshift Quantization

W. Tifft (U. Ariz.)

Redshift quantization periods are very accurately represented by the equation \begin{displaymath} P = c2^{-{\frac{9D+T}{9}}}, \end{displaymath} where $c$ is the speed of light, $D$ is a positive integer, and $T$ is an integer from 0 to 8. The $T$ values distinguish nine `period doubling' sequences of the type often associated with turbulent decay in chaos theory. The ninth-root structure may imply an underlying 3-dimensional property for time. Periods are now specified with the same accuracy as $c$.

Many redshift samples, and redshift variation patterns, fit the periodicity rule very closely when redshifts are referred to the Cosmic Background rest frame. The most prominent periods fall in the $T = 0$ doubling sequence which includes 146.38, 73.19, and 36.60 km s$^{-1}$, values which match previous empirical determinations. Other common periods match segments of the $T = 6$ series. When phased together using the periodicity rule and a cosmological transformation \begin{displaymath} V_{corr} = 4c\left[ (1+z)^{\frac{1}{4}} - 1\right], \end{displaymath} redshifts concentrate at zero or simple basic fractions of absolute phase. Neither phase nor periods are arbitrary in this representation.