You are viewing the historical archive of The Philosophy Forum.
For current discussions, visit the live forum.
Go to live forum

A simple argument against freewill. Miracle?

TheMadFool September 10, 2019 at 08:31 11275 views 65 comments
I'm not a scientist but Newtonian physics applies at the quantum level. If I'm correct that means particles, their position and velocity, are deterministic in behavior.

Knowledge of initial states of particles can be used to predict their properties at some other time in the future.

We're physical, our brains are physical i.e. we're all made up of particles. That implies our brains are deterministic machines if you'll allow me to use that word.

If that's the case then freewill shouldn't exist. It's existence would violate the laws of nature and it would be a true miracle. This can't be.

Your comments...

Comments (65)

Sunnyside September 10, 2019 at 08:39 #326761
Reply to TheMadFool I'm not a physicist but I believe the "problem" (?) with quantum mechanics is that it's random. That wouldn't support free will but it doesn't sound like it supports determinism either. Randomness is a somewhat frightening prospect, possibly worse than just not having any say because of the anxiety of what might happen at any time. The odds aren't ever in our favor.
TheMadFool September 10, 2019 at 09:02 #326767
Quoting Sunnyside
I'm not a physicist but I believe the "problem" (?) with quantum mechanics is that it's random. That wouldn't support free will but it doesn't sound like it supports determinism either. Randomness is a somewhat frightening prospect, possibly worse than just not having any say because of the anxiety of what might happen at any time. The odds aren't ever in our favor.


[quote=Wikipedia]In quantum mechanics, concepts such as force, momentum, and position are defined by linear operators that operate on the quantum state; at speeds that are much lower than the speed of light, Newton's laws are just as exact for these operators as they are for classical objects. At speeds comparable to the speed of light, the second law holds in the original form F = dp/dt, where F and p are four-vectors.[/quote]

What do you think?
Shamshir September 10, 2019 at 09:06 #326771
Before the script is written, it's improvised.
TheMadFool September 10, 2019 at 09:07 #326772
Quoting Shamshir
Before the script is written, it's improvised.


It's still a script :joke:
TheMadFool September 10, 2019 at 09:09 #326774
Our noggins ( :grin: ) could be real miracles!
Shamshir September 10, 2019 at 09:12 #326776
Reply to TheMadFool But it's not scripted.

And that irons out the irony.
Sunnyside September 10, 2019 at 09:15 #326779
Reply to TheMadFool
Wikipedia:In quantum mechanics, concepts such as force, momentum, and position are defined by linear operators that operate on the quantum state...

You lost me. I've always heard it's random, so I don't know?

TheMadFool September 10, 2019 at 09:22 #326782
Reply to Sunnyside I know. I also thought that was the case. Randomness probably applies to sub-atomic phenomena and not at the atomic level. The two are different I believe. Your comments...




TheMadFool September 10, 2019 at 09:25 #326785
Quoting Shamshir
And that irons out the irony.


:smile:
TheMadFool September 10, 2019 at 10:03 #326794
there are laws
everything follows

is it free, my will?
an uncaused skill?

laws, break and bend?
look here my friend

even in chaos random
behold! laws therefrom

what free? what will?
peach tree, peaches fill

an exception no?
like in a freakshow?

it could be you know
something against the flow





PoeticUniverse September 10, 2019 at 16:48 #326959
Quoting TheMadFool
it could be you know
something against the flow


Good poem!

Who's the scribe of my slab written upon?
I ask myself whether I’m stylus or slate,
Or both the dancer and the danced upon?
removedmembershiprc September 10, 2019 at 17:00 #326961
I am wondering why we still treat humans as causal agents with rewards and punishments that are functions of that supposed agency when reality is so obviously determined
Relativist September 10, 2019 at 17:16 #326963
Quoting TheMadFool
I'm not a scientist but Newtonian physics applies at the quantum level.

Not true. Newtonian physics is strictly deterministic. Quantum mechanics is not.
Quoting Sunnyside
I believe the "problem" (?) with quantum mechanics is that it's random.

That's true but imprecise. Quantum mechanics is probabilistically deterministic. This means there is not one discrete possible outcome; rather, there is a well-defined probabilistic distribution of possible outcomes.

Sunnyside September 10, 2019 at 17:44 #326974
Reply to Relativist Quoting Relativist
That's true but imprecise. Quantum mechanics is probabilistically deterministic.

I'm having some trouble with this, could you explain it to me?
Sunnyside September 10, 2019 at 17:49 #326977
Reply to TheMadFool Quoting TheMadFool
?Sunnyside I know. I also thought that was the case. Randomness probably applies to sub-atomic phenomena and not at the atomic level. The two are different I believe. Your comments...
What about them?

Echarmion September 10, 2019 at 17:56 #326978
Quoting TheMadFool
We're physical, our brains are physical i.e. we're all made up of particles.


The physical is something that only exists in our heads. How then can we be physical if we contain the physical?
petrichor September 10, 2019 at 18:01 #326982
Quoting TheMadFool
I'm not a scientist but Newtonian physics applies at the quantum level. If I'm correct that means particles, their position and velocity, are deterministic in behavior.

Knowledge of initial states of particles can be used to predict their properties at some other time in the future.


There are things that happen all the time at small scales (with real and obvious effects at large scales) that seem to be truly random. Some interpretations try to restore a deterministic picture, but usually at the cost of some other intuition that we tend to hold, like realism, locality, or counterfactual definiteness.

Even such things as whether a single photon will reflect from or pass through a glass surface appear to involve real randomness.
petrichor September 10, 2019 at 18:07 #326986
Quoting TheMadFool
Randomness probably applies to sub-atomic phenomena and not at the atomic level.


Not so. It applies at all levels.
petrichor September 10, 2019 at 18:19 #326998
Do you know that without quantum indeterminacy, the sun wouldn't shine?
Relativist September 10, 2019 at 19:06 #327021
Reply to Sunnyside
A quantum mechanical system evolves over time in strict accordance with a time-dependent Schroedinger equation. This means that at every point in time, the system is in a deterministic quantum state.

A quantum state is a multivalued vector; i.e. it's not a discrete number, but rather a set of numbers - where "number" is referring to something that can be measured. Prior to measurement, all the values exist simultaneously, in what's called a "superposition". When a measurement is made, only one of the values will be measured. Across multiple measurement, the set of measured values will be consistent with a well-defined probability distribution.
enqramot September 10, 2019 at 19:14 #327027
I've never believed in free will. To me, life looks rather like a multidimensional movie. Apart from the usual sound and vision, we get in the bargain pain, taste, memories, feeling of cold, warm, you name it. Imperfect beings cannot control anything. Our plans are bound to misfire from time to time. Moreover, we don't even control our thoughts. For all I know, they can be served by a foreign agent. How do they come about? Can you invent a thought? Sometimes there's a clear trigger for our thoughts, that trigger not being part of us. Humans are very prone to manipulation. Our feeble minds wouldn't stand a chance to see through such manipulation. The moment you stop believing you're being manipulated, the manipulation becomes 'perfect'. Now, is the future predetermined? It's hard to tell. Another possibility is: it is predetermined but it's not possible to find out what it's gonna be in advance. The truth that cannot be proven or disproven isn't any less true. I can't even imagine a situation where free will would be possible or make any sense.
Sunnyside September 10, 2019 at 19:18 #327030
Reply to Relativist I'm still not sure how probability can factor into determinism, it seems like a contradiction of terms. What decides which value is measured?
Relativist September 10, 2019 at 19:39 #327047
Quoting Sunnyside
?Relativist
I'm still not sure how probability can factor into determinism, it seems like a contradiction of terms.

Do you agree that a system can be considered deterministic if it evolves over time strictly per an equation over time? That is the case with a quantum system. (I'll defer your question about measurement until you consider this).

Terrapin Station September 10, 2019 at 19:40 #327048
Quoting TheMadFool
I'm not a scientist but Newtonian physics applies at the quantum level. If I'm correct that means particles, their position and velocity, are deterministic in behavior.


So one comment is that "I'm not a scientist" should be emphasized there.

Why are you proposing that quantum mechanics is deterministic, exactly?
PoeticUniverse September 10, 2019 at 19:52 #327058
Quoting Relativist
Quantum mechanics is probabilistically deterministic. This means there is not one discrete possible outcome; rather, there is a well-defined probabilistic distribution of possible outcomes.


That's a good way of putting it, for the probabilities add to 1, this being what is called 'unitary'.
Sunnyside September 10, 2019 at 20:14 #327069
Reply to Relativist I've done some reading about this and now I have more questions than answers. My answer to your question is that yes, it makes sense that if a system can be modeled by mathematical equations then there should never be any place in time that system varies from where the equations say it should be. That's what I understand as determinism.
Relativist September 10, 2019 at 21:27 #327088
Reply to Sunnyside Great. As I said, a Schroedinger equation indeed does that for a quantum system.

The tricky part is that a measurement does something. What it DOES is subject to interpretation, and there are a variety of interpretations of quantum mechanics. For example, according to the "Copenhagen" interpretation, a measurement causes the wave function to collapse (the Schroedinger equation defines a wave): prior to measurement, all the eigenvalues exist concurrently; after the measurement only one exists: the wave function has collapsed to the single value.

By contrast, in the "many worlds" interpretation, a measurement entails the measurer becomes "entangled" with a single eigenvalue, but the others continue to exist - but not within the world wherein lies the measurer. From the point of view of the measurer, this looks the same as the Copenhagen interpretation.

It is unpredictable which eigenvalue will be collapsed to (Copenhagen) or experienced (Many Worlds), but it is a certainty that it will be one of them, and the probability for each is known. This is not strict determinism, but it is probabilistic determination. This is the term used by physicalist philosopher David Armstrong. The connotation is that these states are still the product of physical laws of nature.
Sunnyside September 10, 2019 at 23:27 #327124
Reply to Relativist So in the many worlds version it's like an observed probability but not an actual one. In the Copenhagen version you say the wave function collapses and leaves only one value to measure, can it be any value? This doesn't entirely make sense to me because if the measurement is causing the particle to exist in only one way then that must have been the way it was before the measurement which means the effect would seem to precede the cause. Does anything determine which way becomes "real" or only the measurement? Is the measurement where the "random" part of quantum mechanics comes from?
mostlywrong September 10, 2019 at 23:32 #327128
Reply to TheMadFool we all hallucinate conscious reality from dmt produced in small fleeting amounts as we go check into that about free will
mostlywrong September 10, 2019 at 23:36 #327132
as far as the test goes scientifically it actually depends on the observer of the results as to where the particle is just to add more confusion it is if it remembers witch observer determining the outcome if we are talking the split particle test using photons units of light particles
Bartricks September 11, 2019 at 01:15 #327145
Reply to TheMadFool We're not physical things, because if we're physical things then what you say is correct - we would not have free will. But we manifestly do have free will, therefore we are not physical things.
Bartricks September 11, 2019 at 01:23 #327147
Reply to TheMadFool What you're doing is assuming that we're physical things. But that's just a dogma of the modern age.
It is a self-evident truth of reason - one you yourself appeal to - that free will is incompatible with our decisions having been antecedently determined.
But it is even more powerfully self-evident that we have free will.
Consider: in the lengthy debate over free will the majority of those who have thought long and hard about the issue still conclude that we do, in fact, have free will. They either conclude that compatibilism is true, or they conclude that incompatbilism is true but that the indeterminism is says is necessary for free will actually obtains (libertarianism). Only a minority (albeit quite a significant minority) conclude that we lack free will. So evidently most of those who think long and hard about this issue recognise that it is powerfully self-evident to reason that we possess free will.
So this premise:

1. We have free will

is exceptionally powerfully supported by our rational intuitions.

Less powerfully supported, by powerfully supported nevertheless, is this premise:

2. Free will is incompatible with everything we do being antecedently determined (that is, if we have free will, then not everything we do is antecedently determined)

The conclusion that follows from these two premises is this:

3. Therefore, not everything we do is antecedently determined.

But as you point out, this premise is also true:

4. If we are physical things, then everything we do is antecedently determined

And what follows from 4 and 5 is this:

5. Therefore we are not physical things.
PoeticUniverse September 11, 2019 at 02:43 #327163
Quoting Bartricks
Therefore we are not physical things.


Shush… they're listening. Too late; here come the white coats; we're all mental!
Bartricks September 11, 2019 at 02:45 #327165
Reply to PoeticUniverse Address the argument.
PoeticUniverse September 11, 2019 at 02:49 #327168
Quoting Bartricks
Address the argument.


Hello argument!

Quoting Bartricks
Less powerfully supported, by powerfully supported nevertheless, is this premise:


Now, really, who's going to notice a slight tape-like delay to consciousness?

But we can be informed by brain-consciousness correlation experiments and neurology…
Bartricks September 11, 2019 at 02:55 #327171
Reply to PoeticUniverse There's no delay to consciousness and I doubt you've read the Libet article.
PoeticUniverse September 11, 2019 at 02:59 #327172
Quoting Bartricks
There's no delay to consciousness and I doubt you've read the Libet article.


So, the speed of light is infinite and any processing time is infinitely fast? OK. Time to go mental.
Bartricks September 11, 2019 at 03:01 #327173
No. But we - the conscious things - are not physical things. Try refuting the argument before deciding its conclusion is wrong.
PoeticUniverse September 11, 2019 at 03:11 #327175
Quoting Bartricks
But we - the conscious things - are not physical things.


I, as the conscious thing, am my own cause, or causeless?
Bartricks September 11, 2019 at 03:13 #327177
Definitely causeless, but it may be that something that lacks a cause can, in some sense, also be said to be its own cause.
PoeticUniverse September 11, 2019 at 03:15 #327178
Quoting Bartricks
Definitely causeless, but it may be that something that lacks a cause can, in some sense, also be said to be its own cause.


Either way, where/when does it get its information?
TheMadFool September 11, 2019 at 03:51 #327192
Quoting Bartricks
What you're doing is assuming that we're physical things. But that's just a dogma of the modern age.
It is a self-evident truth of reason - one you yourself appeal to - that free will is incompatible with our decisions having been antecedently determined.
But it is even more powerfully self-evident that we have free will.
Consider: in the lengthy debate over free will the majority of those who have thought long and hard about the issue still conclude that we do, in fact, have free will. They either conclude that compatibilism is true, or they conclude that incompatbilism is true but that the indeterminism is says is necessary for free will actually obtains (libertarianism). Only a minority (albeit quite a significant minority) conclude that we lack free will. So evidently most of those who think long and hard about this issue recognise that it is powerfully self-evident to reason that we possess free will.
So this premise:

1. We have free will

is exceptionally powerfully supported by our rational intuitions.

Less powerfully supported, by powerfully supported nevertheless, is this premise:

2. Free will is incompatible with everything we do being antecedently determined (that is, if we have free will, then not everything we do is antecedently determined)

The conclusion that follows from these two premises is this:

3. Therefore, not everything we do is antecedently determined.

But as you point out, this premise is also true:

4. If we are physical things, then everything we do is antecedently determined

And what follows from 4 and 5 is this:

5. Therefore we are not physical things.


Apart from you begging the question by stating as a premise the very thing I want to prove/disprove, I find your post very interesting. The problem with the lacunae in our body of knowledge that is evident in discussions on topics like free will is that we tend to speculate. This isn't a bad thing but we tend not to make progress and instead offer each other our own conceptions of the issue. Thanks for your views. There's a lot of work that needs to be done.
TheMadFool September 11, 2019 at 03:52 #327193
Quoting mostlywrong
as far as the test goes scientifically it actually depends on the observer of the results as to where the particle is just to add more confusion it is if it remembers witch observer determining the outcome if we are talking the split particle test using photons units of light particles


:ok:
TheMadFool September 11, 2019 at 03:59 #327198
Quoting Terrapin Station
So one comment is that "I'm not a scientist" should be emphasized there.

Why are you proposing that quantum mechanics is deterministic, exactly?


Yes, I'm not a scientist but the Wikipedia article clearly states that particles follow Newtonian physics. I'll quote wikipedia article on Newton's laws of motion below:

[quote=Wikipedia]In quantum mechanics, concepts such as force, momentum, and position are defined by linear operators that operate on the quantum state; at speeds that are much lower than the speed of light, Newton's laws are just as exact for these operators as they are for classical objects. At speeds comparable to the speed of light, the second law holds in the original form F = dp/dt, where F and p are four-vectors.[/quote]

TheMadFool September 11, 2019 at 04:00 #327199
Quoting petrichor
Not so. It applies at all levels.


Quoting petrichor
Do you know that without quantum indeterminacy, the sun wouldn't shine?


Can you show me why? Thanks
TheMadFool September 11, 2019 at 04:01 #327201
Quoting Echarmion
The physical is something that only exists in our heads. How then can we be physical if we contain the physical?


Yes, consciousness is difficult to explain but within existing knowledge paradigms there is no need to assume anything else.
petrichor September 11, 2019 at 04:12 #327208
Quoting TheMadFool
Can you show me why? Thanks


Sure!

link

link
Andrew M September 11, 2019 at 04:15 #327210
Quoting TheMadFool
I'm not a scientist but Newtonian physics applies at the quantum level. If I'm correct that means particles, their position and velocity, are deterministic in behavior.


Classical physics and quantum physics are incompatible descriptions of the world. Though classical physics provides a good approximation in many macroscopic scenarios.

While a quantum state evolves deterministically (as a superposition of states), measurement is non-deterministic (returning a single definite state per the probabilities given by the Born rule). Explaining the latter given the former is known as the measurement problem.

Quoting TheMadFool
Knowledge of initial states of particles can be used to predict their properties at some other time in the future.

We're physical, our brains are physical i.e. we're all made up of particles. That implies our brains are deterministic machines if you'll allow me to use that word.

If that's the case then freewill shouldn't exist. It's existence would violate the laws of nature and it would be a true miracle. This can't be.


I think of it this way. Suppose Alice prefers tea to coffee. If Bob models her preferences accurately, then he will make successful predictions about what she chooses to drink. Yet his model is simply descriptive. The model does not determine what she will drink - Alice does.

Similarly scientists can construct equations that describe the behavior of particles and, in principle, any natural system, including human beings. Yet those equations, even if deterministic, are descriptive not prescriptive.

As long as human choice is considered to operate within the context of natural causality, then there is no miracle or unresolvable conflict. Human beings can make choices based on their preferences AND be described mathematically. If there is a conflict, then it is the math that needs to change to reflect the observed behavior - the math is not prescriptive.
Sunnyside September 11, 2019 at 04:25 #327213
Reply to Andrew M Quoting Andrew M
While a quantum state evolves deterministically (as a superposition of states), measurement is non-deterministic (returning a single definite state per the probabilities given by the Born rule)
You're saying measurement is non-deterministic, I take that to mean random, so maybe I'm asking the wrong question. Tell me if I've got this right: Everything up to a measurement is deterministic, then before a measurement the path splits and there are multiple versions of the same particle, then a measurement happens totally randomly and one of those particles becomes "real". Is that about right?

Sunnyside September 11, 2019 at 04:26 #327214
A "simple" argument against free will.
Andrew M September 11, 2019 at 04:48 #327218
Quoting Sunnyside
You're saying measurement is non-deterministic, I take that to mean random, so maybe I'm asking the wrong question. Tell me if I've got this right: Everything up to a measurement is deterministic, then before a measurement the path splits and there are multiple versions of the same particle, then a measurement happens totally randomly and one of those particles becomes "real". Is that about right?


Not quite - whether there are multiple versions and what is considered real is an interpretive issue. What is universally agreed on is more like this:

If you send a photon through a beam splitter, the quantum state evolution (according to the Schrodinger equation) is:

(1) Photon enters beam splitter
(2) Photon transmitted + Photon reflected

That's deterministic, with state (2) represented as a superposition of two simpler states. When the photon is measured at a detector, you observe just one of those simpler states, e.g.,

(3) Photon reflected

The Schrodinger equation doesn't give (3). Instead the Born rule predicts (3) with 50% probability. The measurement problem is concerned with what (2) means and what measurement involves such that (3) is observed.
petrichor September 11, 2019 at 04:51 #327219
Reply to TheMadFool

As for large objects, they mostly effectively behave like classical physics would predict because the De Broglie wavelength is very small, but effectively is important here.

A single subatomic particle has a fair amount of uncertainty associated with its position and momentum. Put it in a box, look to see where it is, and more than likely, it'll still be in the box. But there is still a significant chance you'll find it outside, which is quite counterintuitive. But take a basketball, and matters are different, but not because it is fundamentally different. If you put a basketball in a box, you'll never come back to find it outside. This is not because there is nothing random here, but rather because it is composed of so many particles. To find all of them, at the same time, suddenly one foot to the left would be astronomically unlikely. If you roll one six-sided die there is a 1 in 6 chance you'll roll a 6. But roll a trillion dice. What are the odds you'll roll sixes on all of them at the same time?

But this isn't the end of the story. There are many ways in which the large uncertainties associated with single small particles can be amplified in such a way that they have large effects on macroscopic objects. You could, for example, measure the spin of a particle and use the result to determine the state of a switch on a train track, such that if the particle is spin up, the train goes to Chicago, and if spin down, it goes to New York. This makes a very large event random.

In fact, when we do measurements and make the results visible to ourselves, we are doing just this. We are amplifying quantum effects.

It isn't inconceivable that such amplifications could happen in such things as biological systems. After all, we have signaling mechanisms operating at very small scales, where in some cases, quantum uncertainties could be large enough to have effects on the behavior of the system. Such sufficienty small mechanisms have not yet been shown to be important in large scale brain behavior, but this isn't completely off the table just yet.

All that said, it is hard to see how randomness is compatible with what we think of as free will. If it is random, it isn't willed. If it is determined, it isn't free. Regardless, I think it is premature for us to rule out free will, as consciousness, time, matter, causality, and so on, are still very mysterious, very poorly understood. Personally, my intuition that I act freely and willfully is so strong that I distrust the ways in which these matters have been presented and understood in human history thus far.
Sunnyside September 11, 2019 at 04:56 #327221
Reply to Andrew M You seem like you know what you're talking about. I'm going to do some reading and get back to you if that's alright.
Bartricks September 11, 2019 at 05:25 #327229
Reply to TheMadFool Ah, I don't think it is question begging. Your argument, I think, is this:

1. If everything we do is antecedently causally determined, then we lack free will.
2. If we are physical things then everything we do is antecedently causally determined
3. Therefore, if we are physical things then we lack free will
4. We are physical things
5. Therefore, we lack free will

What I am doing is arguing that the above argument is weaker than this one:

1. If everything we do is antecedently causally determined, then we lack free will
2. If we are physical things, then everything we do is antecedently causally determined
3. Therefore, if we are physical things then we lack free will
4. We have free will.
5. Theefore we are not physical things.

My argument's premises are all well supported by reason and its conclusion contradicts no truth of reason. But your argument has one premise that is no supported by reason - your premise 4 is just an assumption, not a self-evident truth of reason. And your conclusion contradicts self-evident truths of reason.
petrichor September 11, 2019 at 07:06 #327265
Reply to TheMadFool

Speaking of amplification of quantum effects, quantum cosmology is an interesting area to look into!
Andrew M September 11, 2019 at 09:07 #327292
Quoting Sunnyside
I'm going to do some reading and get back to you if that's alright.


Sure. You may find this comparison of the various interpretations useful, of which de Broglie-Bohm theory and Many Worlds are the main deterministic interpretations.
TheMadFool September 11, 2019 at 10:30 #327326
Quoting Bartricks
4. We have free will.


Prove it!
Deleted User September 11, 2019 at 10:59 #327331
Reply to TheMadFool But you can have qm level effects moving large organisms. But you don't have to worry about this. qm either consider random or statistical - I'd lean towards the latter - doesn't off free will, since if it is, for example, random, well, that ain't you choosing.
TheMadFool September 11, 2019 at 11:15 #327335
Reply to Coben Sorry Coben. Can't understand you.
Deleted User September 11, 2019 at 11:25 #327339
Reply to TheMadFool Earlier in this thread you defended against the idea that qm effects might interfere with pure determinism by quoting wikipedia that at speeds much slower than the speed of light, hey, things follow the classic laws anyway. But you don't even need to go there. Random does not lead to free will. If I make random choices, I am not active freely. That was one point. The other is the qm type effects actually can shift the way, for example, a bird moves. But that's not really necessary for this argument.
TheMadFool September 11, 2019 at 11:37 #327341
Reply to Coben Well, there's an assumption I'm making and that's our will, the way it works, is "explained" through position and velocity of particles. I'm wrong in assuming that particle interaction has such a limited vocabulary. Thanks.
Terrapin Station September 11, 2019 at 14:27 #327406
Quoting TheMadFool
Yes, I'm not a scientist but the Wikipedia article clearly states that particles follow Newtonian physics. I'll quote wikipedia article on Newton's laws of motion below:


https://www.physlink.com/education/askexperts/ae392.cfm <---that's the standard view in physics. That's not to say that it's correct, but it's the conventional view.
TheMadFool September 11, 2019 at 14:58 #327425
Reply to Terrapin Station :ok:

The word "particle" is ambiguous. Thanks.
PoeticUniverse September 11, 2019 at 17:38 #327499
Quoting TheMadFool
The word "particle" is ambiguous.


A particle, as a field quantum, is spread out, as kind of a lump.
Bartricks September 12, 2019 at 02:52 #327671
Reply to TheMadFool Prove I haven't.