What is the Smallest Unit of Time for Measuring Acceleration?

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The discussion centers on the concept of the smallest unit of time relevant for measuring acceleration, questioning whether time is quantized. Key terms mentioned include the chronon, which is based on the classical electron radius, and the Planck time, though neither is deemed suitable for classical acceleration studies. There is a debate regarding the quantization of time, with no definitive evidence supporting either side. Some participants recall that if time is quantized, the measure would be significantly smaller than the Planck time, although this remains unverified. Overall, the conversation highlights the complexities and uncertainties surrounding the measurement of time in relation to acceleration.
SinghRP
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Is there a quantum of time?
What’s the smallest interval of time in which acceleration can place? – on the earth? – on the sun? – on a black hole?
A chronon is the time that light takes to cover classical electron radius. The other is the Planck time. But these won't serve my purpose, when I am trying to study (classical) acceleration.
 
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There is no evidence that time is quantized and some folks believe it is, some believe it isn't.

EDIT: I seem to recall reading somewhere that if time IS quantized, then the measure of quantization is WAY less than the Plank time, but I cannot provide you a reference for that and in fact I may misremember it entirely.