Planck time is really a weird topic, if we try to find out that is it time or time interval. It is the time taken by light to travel a Planck LENGTH so it must be time interval. But we also know that Planck length is MOST FUNDAMENTAL and it can't be differentiated anymore. So what's the reality?
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2$\begingroup$ The premises of this question are false. See this old question. $\endgroup$– ACuriousMind ♦Commented Aug 10, 2014 at 14:09
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$\begingroup$ possible duplicate of Is time continuous? $\endgroup$– John AlexiouCommented Aug 10, 2014 at 15:41
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