A Periodicity Rule for Redshift Quantization
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**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.

**Tuesday
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