On 1/19/2015 2:42 AM, William Unruh wrote:

I quoted from the document you yourself pointed me at. TAI is
continuous. UTC differes from TAI by and interger number of seconds, and
that integer changes when a leap second occurs. If x is continous x-n
where n changes at some time, is NOT continuous.

You clearly misunderstood TF.460, because you still have it wrong. There is no discontinuity, the two scales merely count time differently. This is how the time of the next leap second will be enumerated in each:

UTC                       TAI
2015/Jun/30/23:59:58      2015/Jul/1/00:00:33 (nb:35 second delta)
2015/Jun/30/23:59:59      2015/Jul/1/00:00:34
2015/Jun/30/23:59:60      2015/Jul/1/00:00:35
2015/Jul/01/00:00:00      2015/Jul/1/00:00:36
2015/Jul/01/00:00:01      2015/Jul/1/00:00:37 (nb:36 second delta)

Now, why don't you think a bit, then tell us where you think the discontinuity is in UTC? Hint: if you think there is a discontinuity, keep thinking.
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