If a particle is created & decays almost instantly, does or can the wavelength from the created particle carry on kinetically?

If it can, does it also decay or can it contribute to a knock on effect?

I'm thinking of Ke traveling through water after a landslip into that body of water.

23 hours ago, Imagine Everything said:

I'm afraid I'm left wondering if I am asking silly questions sometimes, I see no one replied to the above.

It would be nice for someone to even say that to me as it would help me understand a bit more perhaps.

I won't bite if you think I'm being crankish

No it is not a silly question but then it is also not a simple question (looks can be deceptive) .

I did not answer before partly because of this and partly because a lot of things have been happening in my world just lately, not least including computer failure.

The questions are actually quite deep and you would and a person would only need the answers if he was going to study the subject more widely.

It would also require some preliminary work, but since you have come back and asked again perhaops you are up for that ?

A good place to start would be to compare the normal distribution function with one half cycle of a sine function as they seem so similar at first glance.

But they are actually quite different.

The sine function is cyclic (important new term)

The normal dist function is not cyclic.

(exchemist is not quite right as the 'tails' stretch from negative infinity to positive infinity though it is almost never used in that way)

41 minutes ago, studiot said:

No it is not a silly question but then it is also not a simple question (looks can be deceptive) .

I did not answer before partly because of this and partly because a lot of things have been happening in my world just lately, not least including computer failure.

The questions are actually quite deep and you would and a person would only need the answers if he was going to study the subject more widely.

It would also require some preliminary work, but since you have come back and asked again perhaops you are up for that ?

A good place to start would be to compare the normal distribution function with one half cycle of a sine function as they seem so similar at first glance.

But they are actually quite different.

The sine function is cyclic (important new term)

The normal dist function is not cyclic.

(exchemist is not quite right as the 'tails' stretch from negative infinity to positive infinity though it is almost never used in that way)

Yes quite right, being in a hurry I chose my words clumsily. What I had in mind is that the sine wave repeats its wave pattern indefinitely, whereas the Gaussian is just the one bump.

Thanks @studiot , I will have a look at that.

I guess I started the debate about not being answered because I was waiting 3 weeks ish & still nothing.

I know it was Christmas & I wasn't criticising, it just leaves me wondering whether I'm being silly whilst also frustrating for me because I simply don't know if I have asked stupid questions.

I don't expect you guys to answer everything & perhaps people like that Jacek character put you all off a bit from answering others, I can understand that.

Poor old Mordred came back from a busy rl & walked straight into him or her. For what it's worth I learnt a great deal from the way @Mordred responded to him or her.

I question myself, the things I do or say, more than I do all of you or anyone else.

I still question myself over why I got so dissapointed at perhaps being thought of as possibly crank ish by @MigL in my other post.

I should have embraced that in hindsight, even being wrong is a way to learn.

It feels similar to my thought pattern that what a person says is as important as what someone doesn't say. But in that case, it was me who perhaps said the wrong thing.

The things I've talked about here with you all are very strange to me. This vision thing is very strange to me yet I seem compelled somehow to follow it still, as much as I can anyway.

Anyway, time for me to go look up

56 minutes ago, studiot said:

one half cycle of a sine function

Through normal distribution, when you observe each & every measurement of x, do the individual measurements/observations mean anything to you other than just a single part of the normal distribution?
Is the overall normal distribution the only things that matters?

Hope I said that right.

Also hope you got your computer sorted out, I know how annoying that is.

Edited January 7Jan 7 by Imagine Everything

4 hours ago, Imagine Everything said:

If a particle is created & decays almost instantly, does or can the wavelength from the created particle carry on kinetically?

The created particle will have a wavelength, but is not an entity in and of itself, so asking if the wavelength can carry on is awkward phrasing.

Fir example - a neutron decays into a proton, positron, and neutrino. Each will have a wavelength, because they have momentum and kinetic energy, and they all can interact

4 hours ago, Imagine Everything said:

If it can, does it also decay or can it contribute to a knock on effect?

I'm thinking of Ke traveling through water after a landslip into that body of water.

Decay products can cause secondary ionizations in materials; charged particles can cause quite a few since they don’t need to undergo a direct collision. That’s how the decay products generally lose their energy.

2 hours ago, Imagine Everything said:

I know it was Christmas &

In addition, the forum was offline for a bit, which affected traffic even after it came back online

16 hours ago, swansont said:

The created particle will have a wavelength, but is not an entity in and of itself, so asking if the wavelength can carry on is awkward phrasing.

Fir example - a neutron decays into a proton, positron, and neutrino. Each will have a wavelength, because they have momentum and kinetic energy, and they all can interact

Thanks @swansont , that's very interesting.

On 1/7/2026 at 9:56 AM, Imagine Everything said:

Poor old Mordred came back from a busy rl & walked straight into him or her. For what it's worth I learnt a great deal from the way @Mordred responded to him or her.

You run into ppl like that. Its one of the reasons I try to supply reference papers for statements I make. However some ppl fail to even look at those reference papers or fail to understand them. However I always consider adding them useful for other readers of the thread as well.

Glad to hear you learned something from that thread.

On 12/17/2025 at 5:45 AM, Imagine Everything said:

Thanks @studiot

Whats the maths equation for that please? It might be useful later on.

And the error could be or is decay/creation interaction?

Just a thought but this almost looks a bit like half a wavelength to me.

Is there an opposite bell curve too?

You asked earlier on this normal distribution. As it is a probability density function you won't have a negative curve. All probability functions regardless of type are positive norm.

However I should note some terminology is a little loose. For example the Dirac Delta function used to describe point mass isn't a true function but a measurement distribution. As such it's handled a little differently via Lebesque integration.

Example here

https://arxiv.org/pdf/2508.11639

Edit forgot to note a simple function has a finite range this isn't the case with Dirac Delta functions

Edited January 13Jan 13 by Mordred

55 minutes ago, Mordred said:

You asked earlier on this normal distribution. As it is a probability density function you won't have a negative curve. All probability functions regardless of type are positive norm.

However I should note some terminology is a little loose. For example the Dirac Delta function used to describe point mass isn't a true function but a measurement distribution. As such it's handled a little differently via Lebesque integration.

Example here

https://arxiv.org/pdf/2508.11639

Thanks @Mordred, that was heavy & reminded me of how much out of my depth I am.

Whilst I do not understand the maths still, perhaps over time I might understand a little more than I currently do.

I appreciate the response.

Forgive my terminology too please, I didn't mean to imply that you are poor or old, it was just a term of endearment. You didn't say anything but I second guess myself a lot & have pondered on that since I wrote it.

One thing I do a lot is watch how people behave or react, I've had to for a long time, perhaps I might loosely call this my own observations.

It helps me to possibly foresee what might proceed certain behaviours in people.

53 minutes ago, Mordred said:

You run into ppl like that. Its one of the reasons I try to supply reference papers for statements I make. However some ppl fail to even look at those reference papers or fail to understand them. However I always consider adding them useful for other readers of the thread as well.

Glad to hear you learned something from that thread.

You asked

No worries one detail when dealing with probability distributions or multi measurements over an ensemble of measurements. The area of the distribution ie highest distribution is what becomes relevant.

For example if you take 100 samples and 20 of those samples are in close proximity to one another while the rest are scattered in without a discernible pattern. The area of those 20 samples is your higher probability region

Here is a simple example of gaussian distribution.

https://introcs.cs.princeton.edu/python/appendix_gaussian/

Edited January 13Jan 13 by Mordred

1 hour ago, Mordred said:

Here is a simple example of gaussian distribution.

https://introcs.cs.princeton.edu/python/appendix_gaussian/

Pretty useless dam if it only lasts 50 years with at 30% chance of flooding.

Must have been designed by a university maths dept.

😀

Edited January 13Jan 13 by studiot

13 minutes ago, studiot said:

Pretty useless dam if it only lasts 50 years with at 30% chance of flooding.

Must have been designed by a university maths dept.

😀

Yeah, you need to know how the theory will stand up to reality, and that's what engineers are for.

Lmao

26 minutes ago, studiot said:

Pretty useless dam if it only lasts 50 years with at 30% chance of flooding.

Must have been designed by a university maths dept.

😀

@StringJunky beat me to the punchline