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Update 08-temporal-regimes.adoc
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english improvement
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chris-little authored Feb 8, 2024
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Expand Up @@ -47,11 +47,11 @@ This regime constitutes a temporal coordinate reference system, with discrete in

This regime takes a clock from the previous regime and assumes that between any two adjacent ticks, it is possible to interpolate indefinitely to finer and finer precision, using ordinary arithmetic, rather than any physical device. Units of measure may be defined that are different from the ticks. For example, a second may be defined as 9,192,631,770 vibrations of the ground-state hyperfine transition of the cesium-133 atom. Alternatively and differently, a second may be defined as 1/86400th of the rotation of the earth on its axis with respect to the sun. The count of rotations is the ticks of an earth-day clock. This latter definition is not precise enough for many uses, as the rotation of the earth on its axis varies from day to day.

Alternatively, it may be that the ticks are not counted but measured, and the precision of the clock is determined by the precision of the measurements, such as depth in an ice core, or angular position of an astronomical body, such as the sun, moon or a star.
Alternatively, it may be that the ticks are not counted but measured, and the precision of the clock is determined by the precision of the measurements, such as depth in an ice core subject to seasonal depositions of snow, or angular position of an astronomical body, such as the sun, moon or a star.

It is also assumed that time can be extrapolated to before the time when the clock started and into the future, possibly past when the clock stops.
It is also assumed that time can be extrapolated before the time when the clock started and into the future, possibly past when the clock stops.

This gives us a continuous number line to perform theoretical measurements. This is a coordinate system. With a datum/origin/epoch, a unit of measure (a name for the ticks on the axis), positive and negative directions and the full range of normal arithmetic. This is a coordinate reference system (CRS).
This gives us a continuous number line to perform theoretical measurements. With a datum/origin/epoch, a unit of measure (a name for the ticks on the axis), positive and negative directions and the full range of normal arithmetic, this is a coordinate reference system (CRS).

In this regime, the <<temporal-knowledge,Allen Operators>> (see <<fig-interval-relations>>) also can be used. If A occurs before B and B occurs before C, it can be correctly deduced that A occurs before C. The full set of operators also covers pairs of intervals. So if B occurs in the interval (A,C), real number arithmetic operations like (B-A) or (C-A) can be performed. This is because a timescale or measurement has been defined, and between any two instants, an infinite number of other instants can be found.

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