Natural Unit of Time
A nonlinear time integral is discussed, and two results are presented, both yielding results that fall within 0.5% of direct observation through various CMB dipole surveys.
Absolute time, in astronomy, is distinguished from relative, by the equation or correction of the apparent time. For the natural days are truly unequal, though they are commonly considered as equal, and used for a measure of time; astronomers correct this inequality that they may measure the celestial motions by a more accurate time.
It may be, that there is no such thing as an equable motion, whereby time may be accurately measured. All motions may be accelerated and retarded, but the flowing of absolute time is not liable to any change.
If we define
While this model proposes a nature of time that is velocity dependent, such that
there must exist a transformation that satisfies our mathematics as they currently exist.
Application of nonlinear time
Let us again consider
which is equivalent to
While current models of space and time indicate that
If
then this dilation of space is clearly nonlinear. If time itself is this dilation of space, then time should follow a proportional nonlinearity.
Nonlinear time applied to & velocity relative to the CMB dipole
In the truest sense,
 The spatially integrated form as
 the differential form:
While both give different numerical results, once this nonlinear time transformation is applied, both yield a peculiar velocity within 1% of recent calculations deriving such a value from the CMB dipole.^{1}
Modifying both forms of
Integration of nonlinear time
Let us first consider the integrated form of
Applying time in this manner inherently applies the proportionality scalar as proportional to
Note that
is scaled proportionally to , as is integrated over .
By modifying
This value falls within
On the application of time
Note here that
Differentiated nonlinear time
Let us now consider the differentiated form of
As
The above must be undertaken to compensate for the manner with which we currently integrate over time, where even in a so called curvylinear system, the passage of time is treated as if it's linearly proportionate.
Since we measure velocity not as
Revisiting
This value again falls within
Wherefore relative quantities are not the quantities themselves, whose names they bear, but those sensible measures of them (either accurate or inaccurate), which are commonly used instead of the measured quantities themselves. And if the meaning of words is to be determined by their use, then by the names time, space, place and motion, their measures are properly to be understood; and the expression will be unusual, and purely mathematical, if the measured quantities themselves are meant.
Footnotes

See On the gravitational nature of time for more. ↩

As I'm writing this while homeless and without access to the internet for more than 20 or 30 minutes each day, I'm unable to provide more citations. However, research on the matter is readily available and remarkably consistent. ↩