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http://physics.nist.gov/cuu/Units/second.html
Generally when a unit is defined in science a reference is created based on certain conditions. In the case of the 'second' the cesium frequency is measured at 0 Kelvin.
This ensures that the second does not change depending on temperature.
Why don't they adjust for gravity and acceleration? Shouldn't the second be defined as the frequency of cesium at 0 Kelvin and 0 Gravity and no Acceleration?
If they did redefine the second as such, then time would be the same anywhere because the reference would be adjusted to the conditions.
An example is that Celsius is defined as
If the atmospheric pressure was altered then Celsius does not change but it is adjusted to the new conditions. If you had abnormal atm pressure and the water was boiling it would be incorrect to say that the temperature is 100 deg Celsius.
If the second were to be redefined to include this condition of gravity and acceleration then 1 second in earths gravity would be exactly 1 second in space at the satellite.
Of course time travel would then be impossible since a second is a second is a second is a second no matter what.
Unit of time (second) Abbreviations: CGPM, CIPM, BIPM
The unit of time, the second, was defined originally as the fraction 1/86 400 of the mean solar day. The exact definition of "mean solar day" was left to astronomical theories. However, measurement showed that irregularities in the rotation of the Earth could not be taken into account by the theory and have the effect that this definition does not allow the required accuracy to be achieved. In order to define the unit of time more precisely, the 11th CGPM (1960) adopted a definition given by the International Astronomical Union which was based on the tropical year. Experimental work had, however, already shown that an atomic standard of time-interval, based on a transition between two energy levels of an atom or a molecule, could be realized and reproduced much more precisely. Considering that a very precise definition of the unit of time is indispensable for the International System, the 13th CGPM (1967) decided to replace the definition of the second by the following (affirmed by the CIPM in 1997 that this definition refers to a cesium atom in its ground state at a temperature of 0 K):
The second is the duration of 9 192 631 770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the cesium 133 atom.
The unit of time, the second, was defined originally as the fraction 1/86 400 of the mean solar day. The exact definition of "mean solar day" was left to astronomical theories. However, measurement showed that irregularities in the rotation of the Earth could not be taken into account by the theory and have the effect that this definition does not allow the required accuracy to be achieved. In order to define the unit of time more precisely, the 11th CGPM (1960) adopted a definition given by the International Astronomical Union which was based on the tropical year. Experimental work had, however, already shown that an atomic standard of time-interval, based on a transition between two energy levels of an atom or a molecule, could be realized and reproduced much more precisely. Considering that a very precise definition of the unit of time is indispensable for the International System, the 13th CGPM (1967) decided to replace the definition of the second by the following (affirmed by the CIPM in 1997 that this definition refers to a cesium atom in its ground state at a temperature of 0 K):
The second is the duration of 9 192 631 770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the cesium 133 atom.
Generally when a unit is defined in science a reference is created based on certain conditions. In the case of the 'second' the cesium frequency is measured at 0 Kelvin.
This ensures that the second does not change depending on temperature.
Why don't they adjust for gravity and acceleration? Shouldn't the second be defined as the frequency of cesium at 0 Kelvin and 0 Gravity and no Acceleration?
If they did redefine the second as such, then time would be the same anywhere because the reference would be adjusted to the conditions.
An example is that Celsius is defined as
Of or relating to a temperature scale that registers the freezing point of water as 0° and the boiling point as 100° under normal atmospheric pressure.
If the atmospheric pressure was altered then Celsius does not change but it is adjusted to the new conditions. If you had abnormal atm pressure and the water was boiling it would be incorrect to say that the temperature is 100 deg Celsius.
If the second were to be redefined to include this condition of gravity and acceleration then 1 second in earths gravity would be exactly 1 second in space at the satellite.
Of course time travel would then be impossible since a second is a second is a second is a second no matter what.