The concept of an absolutely synchronised clock implies the concept of an absolute interval of time to synchronise it, synchronisation is a process, so the concept leaves the question: how was the first clock synchronised "absolutely"? (??).
There is no such thing as an absolute interval of time, but there are arbitrary intervals of time--for instance, the interval it takes a particle such as a muon to decay.
Currently are used two standards. Coordinated Universal Time (UTC) and International Atomic Time (TAI)
Also defined here. http://physics.nist.gov/cuu/Units/second.html
Unit of time (second)
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.