PERIODIC EPISODES

The SI units of duration of (small t) time are not the only scale of duration available to measure (BIG T) TIME. The following two statements are equivalent if the sandglass = 1 hour

1- I will eat dinner in 1 hour.
2- I will eat dinner after the sandglass empties once.

Due to the arbitrary nature of the units used to define the scale of (small t) time, it will be helpful to write a definition of (small t) time irrespective of specifically defined units. It is possible to say that:

[an SI unit of duration of (small t) time] = {the duration separating [event’] ---> and ---> [event’’]}

Let’s check. I will assume that it took a man 60 minutes to walk from the bottom of the Empire State Building to the top. Being at the bottom of the Empire State Building, and being at the top of the Empire State Building are two distinct events. 60 minutes is the measured duration of (small t) time. Therefore:

[60 minutes of duration of (small t) time] = {the duration separating [a man being at the bottom of the Empire State Building] ---> and ---> [a man being at the top of the Empire State Building]}

where:

[event’] = [a man being at the bottom of the Empire State Building]
[event’’] = [a man being at the top of the Empire State Building]
[an SI unit of duration of (small t) time] = 60 minutes

This definition of (small t) time irrespective of units seems logical and equivalent to the definition with SI units. I will substitute this into my original statement:

Time is measured in seconds
Time is measured in {SI units of duration}
(BIG T) TIME is measured in {SI units of duration}
(BIG T) TIME is measured in {SI units of duration of (small t) time}
(BIG T) TIME is measured in {durations separating [event’] ---> and ---> [event’’]}