To measure time, two tools are required:
1- A periodic phenomenon, like the movements of the Earth and clocks.
2- The chromnesia or temporary memory.
With no chromnesia we would only think of the present. Because of chromnesia, older people think in decades or even centuries. But Physics only considers the use of clocks.
In the chromnesia we relate the different units and periods of time.
We measure the past time (duration) and we project this measure into the future.
The most accurate clocks would not be useful if we did not have chromnesia.
In the others magnitudes (length, temperature, mass, etc,) only is required that the observer verifies the measure (in the instrument).
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