What Are the Discontinuous Processes Found in Nature?

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Discontinuous processes in nature are debated, with acceleration often cited as an example, though some argue it appears continuous when examined closely. Many participants suggest that phenomena like phase transitions and oil-water interfaces exhibit discontinuous characteristics. The discussion emphasizes that most natural processes are quantized, leading to discontinuities at the quantum level. However, there is contention over what qualifies as a "process," with some arguing that many examples do not fit this definition. Overall, the conversation highlights the complexity of identifying true discontinuous processes in nature.
acherentia
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I am wondering if there are any discontinuous processes in nature and which are they, if any. thank you.
 
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Acceleration is often discontinuous. For example starting a car - stepping on the gas changes the acceleration from 0 to something definitely positive.
 
Well if you look at the graphs that's not exactly what seems to happen. You might need to zoom in on time to understand that it's continuous. I don't think acceleration can be considered a discontinuous process.

mathman said:
Acceleration is often discontinuous. For example starting a car - stepping on the gas changes the acceleration from 0 to something definitely positive.
 
Pretty much everything is discontinuous and quantized.

Light, momentum, distance, time, etc... are all quantized so its not continuous.
 
My understanding of discontinuous functions would be something like tan theta where it zooms off to infinity as you approach 90 degrees, then returns from the opposite direction.

I can't think of anything in nature that behaves like that. Even if you found something that appeared to do so, I think that adding another dimension would probably resolve the problem, as it does for tan theta (draw it on a cylinder).
 
acherentia said:
I am wondering if there are any discontinuous processes in nature and which are they, if any. thank you.

I don't know about a *process*, but an oil-water interface is about as discontinuous a phenomenon out there.

In general, the more fine-grained you model a phenomenon, the smoother things appear. Phase transitions can remain discontinuous, so can a few other effects (caustics, for example).
 
that's really more towards my chemical plate, i never thought of phase trasitions. i am not sure what you mean by caustics but i will look it up.
 
Curl said:
Pretty much everything is discontinuous and quantized.

Light, momentum, distance, time, etc... are all quantized so its not continuous.

everything you mention does not fit my definition of a process.
 
Curl said:
Pretty much everything is discontinuous and quantized.

Light, momentum, distance, time, etc... are all quantized so its not continuous.

acherentia said:
everything you mention does not fit my definition of a process.
His point is that any process involving them (at the quantum level) would be discontinuous.
 
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Aha...well I never dragged it one step further. I hope you're right because I will take what you say for granted for now.
 

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