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Re:How Many Elementary Particles Are There, Really? by jerf on Saturday June 27, 2026 @10:45AM (#48698753)
You don't have to wonder, because they are. They're manifestations of fields.

I think it is a reasonable answer to tell people "if you're looking for the short list of simplest things, the number of types of fields there are is probably what you're looking for".

That doesn't invalidate this question in general, though the number of different answers from people looking at the same thing suggests it may be underspecified.

Re:How Many Elementary Particles Are There, Really? by HarHarVeryFunny on Saturday June 27, 2026 @11:34AM (#48699145)
But of course one can then question why are there exactly N different types of fields, with their specific types of interaction (at least in our universe)? Why should we suppose that this is the most fundamental description of reality, rather than being emergent from something else?
Re:How Many Elementary Particles Are There, Really? by frutiger on Saturday June 27, 2026 @12:18PM (#48699505)
> But of course one can then question why are there exactly N different types of fields, with their specific types of interaction (at least in our universe)?

Even that has a (still unsatisfactory) answer.

Poincaré symmetry imposes constraints on the kinds of fields we can have. Gauge symmetry shows us how they may couple.

There are still some arbitrary selections of the possible permutations that nature has “picked”.

Re:How Many Elementary Particles Are There, Really? by HarHarVeryFunny on Saturday June 27, 2026 @01:45PM (#48700181)
Interesting, but (way out of my depth here) why do these symmetries have to exist?

It would be much more satisfying (not that nature exists to be satisfying) if we could explain our universe starting from some universal constraints on things that must be true of any non-random mechanistic universe, plus some set of (< N) non-forced "it must be A or B" additional constraints, then be able to derive everything known about our universe - fields and symmetries etc - (& ideally predict something unknown) as resulting from some particular selection of those additional constraints.

This seems about as close as we could get to explaining our universe... Basically saying that god flipped a coin marked A and B, and it come down A so here we are. Maybe god kept on flipping sets of coins and created a whole bunch of other universes too, whose physics we could also derive.... and maybe one day visit and confirm.

Re:How Many Elementary Particles Are There, Really? by behringer on Saturday June 27, 2026 @02:13PM (#48700407)
You might not want to visit because it's probable you would explode or have some other horrific death due to incompatibility between your fields and theirs.
Re:How Many Elementary Particles Are There, Really? by HarHarVeryFunny on Saturday June 27, 2026 @03:52PM (#48701148)
Yes, probably would not turn out well. Will put it on my bucket list next to "visit black hole event horizon".
Re:How Many Elementary Particles Are There, Really? by skirmish on Saturday June 27, 2026 @05:20PM (#48701869)
See "Schild's Ladder" by Greg Egan: a science experiment creates a bubble of new physics expanding at 0.5 c, and humanity is forced to flee the expansion while some stay right next to the expanding boundary to investigate the inside.
Re:How Many Elementary Particles Are There, Really? by jerf on Saturday June 27, 2026 @12:12PM (#48699454)
I completely agree that's a reasonable question.

I'd also observe that between dark matter and dark energy, there's good reason to believe that we may not have a full accounting of all fields.

I am just observing that if you have a non-scientist asking the question "how many fundamental particles are there", with the expectation that "995.5" is not really the right answer, "the number of fields" is a reasonable response that probably gets closer to what they are looking for. Even if someday someone does get them to all be some manifestations of a single field it would arguably still be the case that people are more interested in the answer of the current number of fields then being told "1", because "1" is in many ways not a helpful answer to "how many types of things are there". Even if there is a profound sense in which it was true, there would still be a profound sense in which it was false, too.

Re:How Many Elementary Particles Are There, Really? by tsimionescu on Saturday June 27, 2026 @11:49AM (#48699278)
Well, why would there be fewer than N? There is no general principle that we can impose on the world, it just is, we can only discover what the laws and components of the world are (hopefully). I'm not claiming it's impossible for there to be fewer fields than we think right now. But there is no reason to believe there should be.
Re:How Many Elementary Particles Are There, Really? by HarHarVeryFunny on Saturday June 27, 2026 @12:13PM (#48699464)
I'm not saying fewer fields, but perhaps a more fundamental substrate to reality than fields that fields emerge from. Maybe the N fields are just vibrational modes or attractor dynamics of something simpler.

It seems there has to be a reason WHY there are exactly N fields, and WHY they interact in the ways they do.

Re:How Many Elementary Particles Are There, Really? by tsimionescu on Saturday June 27, 2026 @06:20PM (#48702330)
I think it's very obvious no such answer is even possible in principle. Mathematics has no limits, you can describe anything you like by picking some axioms. Do you want to make sense of the expression 1+1=3? I can find axioms in which this is true.

So, there is no way to start from mathematics and find something that must exist in some way, such as "there can only be 100 types of universe". Any such discovery is contingent upon some arbitrary choice of axioms. You can choose axioms that appeal to some ultimately esthetic sense of elegance or simplicity, and that can explain our universe more or less uniquely, but this doesn't mean that they are right to any extent more than the SM is.

Re:How Many Elementary Particles Are There, Really? by antonvs on Sunday June 28, 2026 @12:17PM (#48708727)
We can certainly imagine part of what the GP comment described being true: "a more fundamental substrate to reality than fields that fields emerge from." In fact, many physicists assume that's the case with the Standard Model - that e.g. the similarities between generations of quantum particle are explained by some deeper and (hopefully) simpler construct.

Similarly, "Maybe the N fields are just vibrational modes or attractor dynamics of something simpler" could also be true - Calibi-Yau manifolds in string theory are essentially one such attempt to unify the similar and repetitive aspects of QFT that currently have no theoretically-justified connection in the theory.

Sure, at some level you presumably hit a wall - e.g. "why are there Calabi Yau manifolds?" But I don't think that's what the GP was referring to.

> Any such discovery is contingent upon some arbitrary choice of axioms.

This is true, but we see some wonderful examples of this in the real universe, producing laws that must be true in all universes that satisfy the axioms (assuming we believe that mathematical proofs aren't somehow tied to our universe.)

For example, Noether's theorem tells us mathematically when and why conservation laws, like conservation of energy and momentum, exist (i.e., for any continuous symmetry of the action of a physical system with conservative forces.)

Similarly, the inverse square law applies to anything that propagates, with no losses, outwards from a point in all directions in locally flat three-dimensional space. Again, we expect this to be true in any universe with these properties.

There are quite a number of other examples of this.

Re:How Many Elementary Particles Are There, Really? by GistNoesis on Saturday June 27, 2026 @01:15PM (#48699957)
Elegance. It's Occam's razor. If we can do with only one field, it's probably it.

It's inductive and abductive reasoning. The one field, and it has lot of mathematical characteristics which makes it unique on its own, and also it is the only one that has a chance to fit, is the e8 field popularized by Garrett Lisi.

If a universe were to be designed based using the e8 Lie algebra as an elemental field, it would look a lot like our universe.

Currently the standard model is a patchwork of field added as experiments for observing particles were possible to realize. The big picture's view is a unified theory which fits perfectly all existing data.

Re:How Many Elementary Particles Are There, Really? by tsimionescu on Saturday June 27, 2026 @01:29PM (#48700062)
Occam's razor has nothing to do with this, it only applies once you have multiple competing theories - you can't use Occam's razor to decide that a theory "should" exist.

Currently, we don't have any theory that works that's any simpler than the SM. So that's the theory that Occam's razor currently tells us must be true, as it's the simplest alternative that actually works.

Re:How Many Elementary Particles Are There, Really? by api on Saturday June 27, 2026 @12:41PM (#48699692)
To me it looks like the periodic table. There's an underlying set of levers in terms of quantum characteristics of fields, but not all settings of these levers are stable. This is just like how only atoms with certain combos of protons and neutrons and electrons are neutral and stable.

If you look at histogram plots of protons, neutrons, and stability, it's not a perfectly idealized form. It's a rocky plot. This emerges from the quantized nature of reality.

So a periodic table of particles (fields) that looks kind of weird and ad-hoc to us is the expected result.

What we don't yet fully understand is really two things as far as I know. First, we know less about why these particular values are special. For the periodic table we actually understand this pretty well. Second, we do not know if there are other islands of stability or particles-fields we cannot see (e.g. WIMPS). For the periodic table we are pretty sure there are no large islands of stability at higher weights. Not 100% sure, but if they do exist there's probably only a few exotic mega-atoms that could be stable, not many.

Re:How Many Elementary Particles Are There, Really? by rwmj on Saturday June 27, 2026 @11:03AM (#48698895)
To me that raises the opposite question, why are there so few fields? (Compared to what I'd imagine, infinite)

[Edit: I suppose I'm imagining waves or frequencies of waves, rather than fields, hence why in my imagination there would be an infinite variety]

Re:How Many Elementary Particles Are There, Really? by Filligree on Saturday June 27, 2026 @11:08AM (#48698938)
Not all fields interact with all other fields. You can think of them as a loosely coupled graph…

There might be any number of graph components with no connectivity to our fields at all, and we’d never know. Assuming, of course, that we’re including gravity in this logic.

There’s also might be any number of arbitrarily complex components which are only connected through gravity. That’s a decent candidate for what the dark sector actually is.

Re:How Many Elementary Particles Are There, Really? by TheOtherHobbes on Saturday June 27, 2026 @11:15AM (#48698992)
In QFT every particle type has its own field.
Re:How Many Elementary Particles Are There, Really? by nine_k on Saturday June 27, 2026 @12:01PM (#48699373)
...and a field is just a value that behaves in a particular way. An example outside QFT: phonons [1] behave like particles, but there is no "palpable" sound field, there's only local distribution of implulses of the molecules of air (or whatever medium) where the sound propagates.

Other fields can be seen as attributes of the space itself, and "elementary particles" as wrinkles on it. Gravity is special because it bends the very geometry of space.

[1]: https://en.wikipedia.org/wiki/Phonon

Re:How Many Elementary Particles Are There, Really? by tsimionescu on Saturday June 27, 2026 @06:24PM (#48702356)
> Gravity is special because it bends the very geometry of space.

It's important to remember that this is not true in QFT, and QFT is not true in GR. That is, the math of QFT does not work if spacetime can become curved (at least, if it can become significantly curved).

Re:How Many Elementary Particles Are There, Really? by raattgift on Saturday June 27, 2026 @11:07PM (#48703963)
Maybe you want to leaf through a copy of Birrell & Davies or Parker & Toms again. QFTCS is good in strong gravity, and is as good as anything else at transplanckian scale (which is to say there's presently no way of knowing when around there QFTCS becomes a bad approximation to an unknown quantum gravity).

We should also remember the enormous cosmological curvature in which testable quantum systems exist; it's not just about compact objects. Significant? There's observed H-sources above z ~ 15, and of course the CMB photons at z ~ 1100. Indeed, B&D deals with Robertson-Walker spacetimes over several chapters before they get to black holes.

Also at the weak but measurable curvature regime there's e.g. Pound-Rebka, time metrology[1], and so forth, and lots of spacecraft confirming the strong equivalence principle (e.g. MESSENGER, LAGEOS) and thus supporting the LLI one expects to find in relativistic QFTs of the sort one would use to describe the behaviour of laser altimeters, distant astrophysical masers (and the Lyman-alpha forest), the spectral lines in stellar atmospheres and so on.

[1] just because it's neat and directly relevant to your comment: https://journals.aps.org/prxquantum/abstract/10.1103/q188-b1... [2025]

Re:How Many Elementary Particles Are There, Really? by antonvs on Saturday June 27, 2026 @11:27AM (#48699087)
Every particle type has its own field, but the OP article is counting a single particle type multiple times based on properties like spin and polarization. At one point the article reaches the number 118. That corresponds directly to 37 quantum fields once you take the "double counting" into account.
Re:How Many Elementary Particles Are There, Really? by dpark on Saturday June 27, 2026 @12:54PM (#48699796)
Where are you getting 37? The standard model has 17 fields.

If you pick and choose which properties to select as unique fields, maybe you can get the number 37, but at that point why not 118 fields?

Re:How Many Elementary Particles Are There, Really? by antonvs on Saturday June 27, 2026 @03:16PM (#48700884)
> The standard model has 17 fields.

Without qualification, that's false. 17 is a simplified or compressed view of what the Standard Model describes. I gave more detail in this comment:

https://news.ycombinator.com/item?id=48700610

37 is what you get from counting Dirac matter fields (24) plus gauge fields (12) plus the Higgs. That's post-symmetry-breaking, and doesn't account for chirality.

If you count fundamental field components in the electroweak-symmetric Lagrangian, you get 43. I broke down both of those numbers in my comment linked above.

> If you pick and choose which properties to select as unique fields, maybe you can get the number 37, but at that point why not 118 fields?

There's no picking and choosing involved - quite the opposite. It's counting what the QFT math specifies. Particles with e.g. different color charges can't share the same field. To get to 17 from either of the above, you have to ignore quark color charges and the different gluon types. It's essentially a classification of types of particles that combines field together, it's not a count of fields.

Re:How Many Elementary Particles Are There, Really? by dpark on Sunday June 28, 2026 @07:49PM (#48713034)
Thanks. Appreciate the clarification.
Re:How Many Elementary Particles Are There, Really? by someoldgit on Sunday June 28, 2026 @07:47AM (#48706514)
Should the quantum vacuum / zero-point field(s) be counted as well?
Re:How Many Elementary Particles Are There, Really? by antonvs on Sunday June 28, 2026 @11:52AM (#48708463)
No, that's just the vacuum state of any of the standard quantum fields.

"Field" is being used there in its general sense, of a quantity that has a value for every point in space and time. It's saying that in a (region of a) quantum field that contains no activity, there are nevertheless random fluctuations, which can themselves be modeled as a field. But they're not separate from the quantum field that gives rise to them - they have all the same fundamental properties.

Re:How Many Elementary Particles Are There, Really? by antonvs on Saturday June 27, 2026 @11:25AM (#48699069)
> if you're looking for the short list of simplest things, the number of types of fields there are is probably what you're looking for

Definitely. It's rather strange that the OP article doesn't even mention the word "field". It seems that people in general have a hard time letting go of the idea of particles as fundamental.

A good overview of this is "There are no particles, there are only fields" (https://arxiv.org/abs/1204.4616) by physics prof Art Hobson.

Fields collapse the zoo described in the article significantly, because particles and antiparticles arise from the same field, and similarly, spin, polarization, and helicity are properties of the same field. Taking this into account, the 118 particles number that the article reaches at one point drops to 37 fields.

Re:How Many Elementary Particles Are There, Really? by AnimalMuppet on Saturday June 27, 2026 @11:56AM (#48699327)
You've said that "37 fields" at least twice. It doesn't seem to come from the arxiv article you linked, though. And it seems rather high to me. (Of course, 118 seems ridiculously high...)

Anyway: Would you list them? Or supply a link to somewhere that does?

Re:How Many Elementary Particles Are There, Really? by antonvs on Saturday June 27, 2026 @02:39PM (#48700610)
First, just to clarify - there are different ways to count the quantum fields, just as there are different ways to count particles, as the article points out. You really need to specify the premises you're using to count them. But either 17 or 37 are natural counts. 17 is a somewhat simplified version, which ignores quark color charges and groups the W and Z bosons together.

Here's how the list of 37 typically breaks down:

18 quark fields: 6 flavors x 3 colors

3 charged leptons: electron, muon, tau

3 neutral leptons: neutrinos corresponding to the charged leptons

12 gauge bosons: 1 photon, 3 electroweak bosons (Z, W+, W-), 8 gluons

1 Higgs boson

(Note: this refers to fields as we observe them today, essentially counting what are known as Dirac fields. These are not the more fundamental fields that were present before the electromagnetic force separated from the weak nuclear force in the early universe, a process known as electroweak symmetry breaking. More on this below.)

In writing that list out, I realized that it skips one of the properties the article mentioned: chirality. If we take that into account, the number of charged lepton fields doubles to 6, and we have 40 fundamental quantum fields.

The reason that distinction is often ignored is that at everyday energies, the left- and right-handed components of particles are essentially blended together, so experiments don’t see them as separate particle types. Treating left- and right-handed chirality as a single field is a simplification of the underlying electroweak theory. Treating them as distinct particles, as the article does, is actually a bit dubious.

Re electroweak symmetry breaking, if we're really looking for "fundamental", then it makes sense to look at the fields before symmetry breaking. In a very real sense, these are more fundamental, because they give rise to the fields we observe.

But, that gets into fields that most non-physicists won't recognize, and that don't even have good names: the weak isospin gauge fields W^1_\mu,\; W^2_\mu,\; W^3_\mu,\; and the hypercharge field B_\mu.

In that scenario, there are 4 Higgs fields, which brings the total field count to 43. After symmetry breaking, those extra 3 Higgs fields became longitudinal polarization modes of the electroweak bosons, which are not counted as extra fields. The article mentions this, "the W+, W−, and Z bosons have a third, “longitudinal” polarization state as well," and adds them to its particle count.

We can relate this all back to the article as follows:

1. To count antiparticles, group the quarks and leptons into fermions - 18 + 3 + 3 = 24, and double that to count antiparticles, giving 48. Bosons are their own antiparticles, so their count doesn't change. The total particle count is now 48 fermions + 12 gauge bosons + 1 Higgs = 61.

2. For spin/polarization, double the number of fermions again to 96, double the number of gluons from to 16, multiply photons by 2, multiply the 3 electroweak bosons by 3 giving 9. This gives 96 fermions + 2 photons + 16 gluons + 9 electroweak bosons + 1 Higgs boson = 124 particles.

That 124 is 6 more than the 118 mentioned in the article, but again it depends on exactly what you're counting. Chirality in particular complicates things, because of the blending issue I mentioned earlier.

Re:How Many Elementary Particles Are There, Really? by antonvs on Saturday June 27, 2026 @03:31PM (#48700995)
Here's a more exact breakdown of the 118 particle number from the article:

72 quarks: 6 flavors x 3 colors x 2 (particle/antiparticle) x 2 (spin up/down)

12 charged leptons: 3 flavors x 2 (particle/antiparticle) x 2 (spin up/down)

6 neutrinos: 3 flavors x 2 (particle/antiparticle)

2 photons: 1 photon field x 2 polarizations

16 gluons: 8 types x 2 polarizations

9 electroweak bosons: 3 types (Z0, W+, W-) x 3 polarizations

1 Higgs boson

That totals 118. Here's a summary of how those come from the 37 fields I listed:

4 x 18 quarks

4 x 3 charged leptons

2 x 3 neutrinos

2 x 1 photons

3 x 3 electroweak bosons

2 x 8 gluons

1 x Higgs boson

Re:How Many Elementary Particles Are There, Really? by tremon on Saturday June 27, 2026 @05:33PM (#48701978)
I'm a bit surprised that the weightier generations of fermions are categorized as fundamentally different fields. Is this a crutch/temporary classification that we expect to be resolved with further research, or are there real indications that the apparent similarities between e.g. up/charm/top are fully independent manifestations?
Re:How Many Elementary Particles Are There, Really? by antonvs on Saturday June 27, 2026 @07:02PM (#48702619)
I can speak definitively on behalf of the Standard Model here:

"No idea, bro!"

It's one of the biggest open questions about the Standard Model, and it's considered an indication that the model is probably incomplete.

Btw you mentioned "weightier generations", but mass is a consequence of the difference between the generations, not the fundamental difference. Before electroweak symmetry breaking, those particles had no mass, but they already existed as three distinct generations, with different Yukawa couplings. When the Higgs field acquired a vacuum expectation value, those different couplings became different masses.

The Standard Model treats the number of generations and the Yukawa couplings as fundamental inputs to the theory. There's a Nobel Prize waiting for whoever figures out whatever might be behind this.

Even string theory doesn't solve this. Calabi-Yau manifolds provide a model which could explain it in theory, but no actual, concrete solution has been found.

Re:How Many Elementary Particles Are There, Really? by Noaidi on Saturday June 27, 2026 @10:55AM (#48698834)
> They're manifestations of fields.

Or wave. Everything is a quantum wave.

https://www.vlatkovedral.com/everything-in-the-universe-is-a...

Re:How Many Elementary Particles Are There, Really? by GroksBarnacles on Saturday June 27, 2026 @11:08AM (#48698933)
A wave is already what we call a manifestation of a field, maybe I skimmed too quickly but I don't get the author's breakthrough point.
Re:How Many Elementary Particles Are There, Really? by Noaidi on Saturday June 27, 2026 @11:32AM (#48699135)
Yes, the field is the substrate.

"I insist upon the view that 'all is waves'."

    Letter to John Lighton Synge (9 November 1959), as quoted by Walter Moore in Schrödinger: Life and Thought (1989) ISBN 0521437679 
It is not a breakthrough, it is just something we refuse to see, something that was known for a century.

"All is a wave" is the unifying principle. I am no mathematician, but the math needs to start with that fundamental principle.

The very notion of calling it "qunatum" physics is probably wrong since quantum is "a discrete quantity of energy proportional in magnitude to the frequency of the radiation it represents."

And if everything is a wave there are no discrete quantities beyond our definition of what constitutes the end, or borders, of the wave.

Re:How Many Elementary Particles Are There, Really? by dpark on Saturday June 27, 2026 @01:18PM (#48699977)
> I am no mathematician, but the math needs to start with that fundamental principle.

This is a weird sort of hubris. “I’m not qualified to do this job but I can certainly tell you how it needs to be done.”

> And if everything is a wave there are no discrete quantities beyond our definition of what constitutes the end, or borders, of the wave.

This is not true in multiple ways. First, it’s known that these particles exhibit quantum behavior. This is measured and confirmed over and over. Many measures are in fact quantized.

Second, existing as a wave does not mean no discrete quantities. Even in everyday materials we observe situations like standing waves that are effectively quantized.

https://en.wikipedia.org/wiki/Standing_wave

Re:How Many Elementary Particles Are There, Really? by Noaidi on Saturday June 27, 2026 @03:02PM (#48700771)
> This is a weird sort of hubris. “I’m not qualified to do this job but I can certainly tell you how it needs to be done.”

A quantum state is a mathematical entity that represents a physical system. Since waves are not physical can you see where I can assume that the math needs to start from a different place? If it is even useful at all?

> it’s known that these particles exhibit quantum behavior. Many measures are in fact quantized.

To measure is to quantize, so this is circular reasoning. If particles are always waves we would still see the quantum behavior.

> Second, existing as a wave does not mean no discrete quantities.

Where is the precise point a standing wave ends and begins? The best we can do is guess with calculus and differential equations. Again, yoiu are quantifying things that in and of themselves are not quantized outside of our conception.

Re:How Many Elementary Particles Are There, Really? by tsimionescu on Saturday June 27, 2026 @06:30PM (#48702400)
> To measure is to quantize, so this is circular reasoning.

This is a fundamental misunderstanding. Measurement (which is a precisely defined mathematical concept) is not the same thing as quantization. For a very basic example, in all known physics theories, including QFT, SR, and GR, space and time can be measured, and they are not quantized. In fact, there is no theory compatible with SR in which space and time can be quantized, given the nature of the Lorenz transform: SR predicts continuous length contraction from the PoV of observers moving at any velocity relative to each other; for any distance of length 1, some other observer can exist for which the length would be 1/x, with x as a real number.

Re:How Many Elementary Particles Are There, Really? by Noaidi on Sunday June 28, 2026 @12:28PM (#48708850)
> space and time can be measured, and they are not quantized.

Yet…

Because we do not have the formulas does not mean they are not quantized.

https://www.scientificamerican.com/article/is-time-quantized...

Re:How Many Elementary Particles Are There, Really? by tsimionescu on Sunday June 28, 2026 @02:30PM (#48710071)
Again, our current theories all agree that space and time are continuous, not quantized. Quantized space or time are not consistent with either QFT or GR.

Now, we do know that QFT and GR are not consistent with each other, so at least one new theory is necessary, at least one of them must be wrong. So the new theory could involve quantized space or time - but it could very well not. We don't know at the moment, and all we know is that our best theories, limited as they may be, require continuous space and time (and other quantities).

Re:How Many Elementary Particles Are There, Really? by Noaidi on Sunday June 28, 2026 @03:38PM (#48710782)
> all we know is that our best theories

Which is why we need new theories, and "everything is a wave" is a new theory.

Re:How Many Elementary Particles Are There, Really? by dpark on Saturday June 27, 2026 @08:12PM (#48703066)
Either you understand this stuff at a level so much deeper than me that I can’t comprehend what you’re getting at or you are way out of your depth because none of this makes any sense to me.

Waves aren’t physical but everything is waves? We can’t measure standing waves but have to “guess” with calculus and differential equations?

Re:How Many Elementary Particles Are There, Really? by Noaidi on Sunday June 28, 2026 @07:02AM (#48706279)
Let’s take calculating the area of a circle. Since pi is in an irrational number that goes on forever, we can only get a closer approximation to an area circle by extending the decimals of pi. But since pi goes on forever, we can never know the exact area of aLet’s take calculating the area of a circle. Since pi is in a irrational number that goes on forever, we can only get a closer approximation to an area circle by extending the decimals of pi. But since pi goes on forever, we can never know the exact area of a circle.

Do you agree or disagree with that statement?

Re:How Many Elementary Particles Are There, Really? by dpark on Sunday June 28, 2026 @11:23AM (#48708157)
Hard pass. The exact area of a circle is pi*r^2. We can calculate decimals of pi arbitrarily far, certainly further than our ability to measure. “Exact area” means we use symbolic math, not that we quibble about significant digits.
Re:How Many Elementary Particles Are There, Really? by Noaidi on Sunday June 28, 2026 @12:01PM (#48708560)
Pi is an infinite number. Each time we calculate the area of a circle with another decimal of pi we get a new answer.

You seem to be avoiding the question of how we can know the exact area of a circle knowing that pi is infinite.

I am saying that the area of a circle is impossible to know. And that has both philosophical and physical ramifications.

Very fact that this well-known scientific truth is hard to accept those people is telling.

https://www.scienceabc.com/pure-sciences/can-the-area-of-a-c...

“Hence, not only is it impossible to ever determine the exact value of the area of a circle, but it is equally impossible to measure any area with 100% accuracy.”

Re:How Many Elementary Particles Are There, Really? by dpark on Sunday June 28, 2026 @01:31PM (#48709520)
> Pi is an infinite number.

Your own link confirms this is not true. Irrational is not the same thing as infinite.

> You seem to be avoiding the question of how we can know the exact area of a circle knowing that pi is infinite.

I’m not avoiding it. I’m saying it’s a meaningless question. 16 digits of pi will be more precise than essentially anything we can measure. Just 3 digits of pi will probably be more precise than you can measure at home.

If you need perfection, you stick with symbolic math. If you need to convert to absolute physical units, your ability to measure will be your limit, not the irrationality of pi.

> Very fact that this well-known scientific truth is hard to accept those people is telling.

It’s not hard to accept. It’s not interesting. There are no physical problems related to this fact. And no interesting philosophical problems.

Your problem isn’t that you lack the knowledge but that you are overconfident in your ignorance. You lack the curiosity to ask why no one is impressed or convinced by your beliefs, instead assuming everyone else is missing the deep insights you believe you possess.

This is why you can cite someone’s article about everything being quantum waves as support for your personal beliefs while also confidently stating that the article’s author is completely wrong for believing in quantum waves. Because you are not looking for information. You are looking for confirmation. You are rendered blind by your hubris.

Re:How Many Elementary Particles Are There, Really? by Noaidi on Sunday June 28, 2026 @03:44PM (#48710835)
> Your own link confirms this is not true. Irrational is not the same thing as infinite.

Huh? From the article:

"Pi is a non-terminating and non-recurring irrational number. When we say that pi is infinite, we intend to say that pi has an infinite expression, not an infinite value."

That is what I meat by infinte, as in the number never ends.

I am not commenting about being more precise. I am talking about exactness. Yes, with every didgit we add to pi we become more precise, and there is a limit to what we need, but to know that there is not exact value we can give to the area of a thing, how can we say that is a thing at a deeper level? If we know things because we "measure them" and measuring is never exact, what do we really know?

Re:How Many Elementary Particles Are There, Really? by dpark on Sunday June 28, 2026 @04:49PM (#48711501)
> to know that there is not exact value we can give to the area of a thing

Pi has an exact value. It is irrational, not inexact.

This is increasingly irrelevant and inaccurate rambling I’m engaging with. I’m out. Take care.

Re:How Many Elementary Particles Are There, Really? by antonvs on Sunday June 28, 2026 @12:24PM (#48708806)
> To measure is to quantize

You're confusing "quantify" with "quantize".

To measure is to quantify, not to quantize.

In quantum physics, "quantized" means that a field has a smallest possible excitation, called a quantum, rather than being able to vary continuously.

For example, the quantum of the electromagnetic field is the photon.

A quantum field is fundamentally quantized, so the waves that arise in quantum fields are similarly quantized.

> Again, you are quantifying things that in and of themselves are not quantized outside of our conception.

No, we have extremely strong evidence that the physical fields themselves are quantized. If you try to model physics using classical waves - which we do, e.g. in semiclassical electrodynamics, which models the electromagnetic field as continuous instead of quantized field - you find there are limits to what can accurately be modeled. To get an accurate model, you need to quantize the field.

Re:How Many Elementary Particles Are There, Really? by solid_fuel on Sunday June 28, 2026 @02:42AM (#48704986)
> It is not a breakthrough, it is just something we refuse to see, something that was known for a century.

This sounds like you're about to try selling me a crystal and a magic ritual. The wording here is far too grandiose, and I assure you physicists are not "refusing to see" that "everything is a wave". Whatever you imagine that might mean.

> The very notion of calling it "qunatum" physics is probably wrong since quantum is "a discrete quantity of energy proportional in magnitude to the frequency of the radiation it represents."

> And if everything is a wave there are no discrete quantities beyond our definition of what constitutes the end, or borders, of the wave.

Mumbo-jumbo.

It's called "quantum" physics because of the discovery that many parts of nature do indeed exist in discrete steps. Yes, electron orbitals are described with wave functions - that is, the electron exists as a probability cloud, but the functions themselves are still discrete! When an electron gains energy, it jumps from one orbital to another without passing through a continuous state in the middle. That is the fundamental insight of Quantum Mechanics - energy, momentum, etc are all quantized and not actually continuous.

The wikipedia article on quantum mechanics literally covers this in the intro - https://en.wikipedia.org/wiki/Quantum_mechanics

Re:How Many Elementary Particles Are There, Really? by Noaidi on Sunday June 28, 2026 @12:13PM (#48708669)
Isn’t the wave function only discrete when we measure it?

The field is the continuous state so nothing has to jump through anything.

For example the hydrogen wave function does not tell us where the electron will be located, only where most likely will be located. What is discrete about that?

Re:How Many Elementary Particles Are There, Really? by solid_fuel on Sunday June 28, 2026 @02:30PM (#48710066)
> Isn’t the wave function only discrete when we measure it?

No.

> The field is the continuous state so nothing has to jump through anything.

No.

> For example the hydrogen wave function does not tell us where the electron will be located, only where most likely will be located. What is discrete about that?

Read what I wrote again. The wave function itself is continuous but the jump between states (aka between wave functions) is discrete. This is because energy is quantized and does not exist in continuous quantities. The transfer of energy in quantum systems is therefore discrete, which is the whole reason it is called quantum mechanics.

Re:How Many Elementary Particles Are There, Really? by Noaidi on Sunday June 28, 2026 @03:37PM (#48710768)
> The wave function itself is continuous but the jump between states (aka between wave functions) is discrete.

What exists between the wave functions?

> This is because energy is quantized and does not exist in continuous quantities.

"Quantized" in quantum mechanics means that a physical quantity can take only a discrete set of values rather than any value from a continuous range.

Yes, energy is quantized because we see it separate from a continuum. Because we SEE it as separate from a continuum does not mean it is separate from any continuum. This is the theory of everything is wave in a nutshell.

Since you have another theory, that the wave function can have properties of a particle and a wave, so you disagree with me. To me, the wave function only shows the properties of a wave, after you have made a measurement, the probability of what you have measured suddenly changes to 1, and the wave function appears as a particle, but still has the properties of a wave, which are there, but ignored.

Re:How Many Elementary Particles Are There, Really? by solid_fuel on Sunday June 28, 2026 @03:53PM (#48710931)
> What exists between the wave functions?

There is no state between the stable wave functions, because when energy is delivered to an electron in an orbital it comes as a discrete quantity all at once.

> Yes, energy is quantized because we see it separate from a continuum. Because we SEE it as separate from a continuum does not mean it is separate from any continuum. This is the theory of everything is wave in a nutshell.

Sure, and your "theory" is wrong. Energy only exists in quantized steps, it is not continuous. That's not just an artifact of measurement, it's an artifact of reality.

If you have serious disagreements about quantum physics, derive the math to describe your theory and publish a paper. Show some math. Show some evidence. You're one step away from being written off as a crank right now. Don't just go around talking about how you and you alone have somehow "cracked the code" that physicists just can't get. It's nonsense.

Re:How Many Elementary Particles Are There, Really? by Noaidi on Sunday June 28, 2026 @04:34PM (#48711348)
> Energy only exists in quantized steps, it is not continuous.

The fact that you think I disagree with this means you do not understand me, nor the idea of the wave function.

Re:How Many Elementary Particles Are There, Really? by solid_fuel on Sunday June 28, 2026 @04:38PM (#48711379)
> The fact that you think I disagree with this means you do not understand me, nor the idea of the wave function.

You said

> Yes, energy is quantized because we see it separate from a continuum. Because we SEE it as separate from a continuum does not mean it is separate from any continuum. This is the theory of everything is wave in a nutshell.

It's not that I don't understand you, it's that you clearly don't even understand what you're trying to say.

Right here, you say energy is not quantized but we think that it is because "we SEE it as separate from a continuum does not mean it is separate from any continuum". You are contradicting yourself because you are very far outside your limit of understanding.

Re:How Many Elementary Particles Are There, Really? by Noaidi on Sunday June 28, 2026 @06:03PM (#48712164)
> you say energy is not quantized

Incorrect.

I say when we see (measure) energy we separate it from a continuum (of probabilities) and it is quantized.

Basic:

https://www.asc.ohio-state.edu/mathur.16/quantummechanics27-...

E=hf...you do not get that E without measuring f. That is the quantum in quantum physics. And I think that is why we do not have a unifying law of physics yet, because this measurement is the basis for all quantum physics. We are trying to take particles to a place that is only waves.

Re:How Many Elementary Particles Are There, Really? by solid_fuel on Sunday June 28, 2026 @10:54PM (#48714233)
> I say when we see (measure) energy we separate it from a continuum (of probabilities) and it is quantized.

Read what you wrote. This is not what you said before, and it’s still wrong either way. Energy is not quantized because we measure it, it is quantized because it is quantized. You’re so far out of your depth here that no productive exchange is likely to take place.

Re:How Many Elementary Particles Are There, Really? by dpark on Saturday June 27, 2026 @02:31PM (#48700553)
I am not sure there’s any breakthrough here, but this article is about a different QM interpretation (as opposed to Copenhagen or Many Worlds). Interesting but seems irrelevant to the discussion here of particles and fields.
Re:How Many Elementary Particles Are There, Really? by andrewflnr on Saturday June 27, 2026 @11:42AM (#48699215)
> Now, when I told my editor at Allen Lane about my own interpretation, he immediately said “It’s Many Worlds on steroids!” There is a grain of truth in that, ...

Dude, this is an answer to an entirely different question. He's proposing an interpretation of QM, which is independent from "how many fundamental particles".

Re:How Many Elementary Particles Are There, Really? by antonvs on Saturday June 27, 2026 @11:30AM (#48699108)
A wave is a phenomenon that propagates through a field - i.e. the field is what allows the wave to exist.

(The philosophy of that admittedly gets messy, though, e.g. "are fields real objects?")

Re:How Many Elementary Particles Are There, Really? by Noaidi on Saturday June 27, 2026 @03:03PM (#48700781)
Yes, very messy and ultimately unknowable.
Re:How Many Elementary Particles Are There, Really? by antonvs on Saturday June 27, 2026 @03:34PM (#48701018)
Sure. We can say the same thing about a "quantum wave", though.
Re:How Many Elementary Particles Are There, Really? by Noaidi on Saturday June 27, 2026 @04:06PM (#48701260)
Yes. This is why Physicists will reject the "everything is a wave theory" till the bitter end. They become frustrated when faced with the un-measurable.

There is no "quantum wave", there are only waves. Immeasurable, undefinable waves.

Re:How Many Elementary Particles Are There, Really? by antonvs on Saturday June 27, 2026 @04:52PM (#48701652)
> There is no "quantum wave"

Earlier you wrote, "Everything is a quantum wave." You also linked to an article titled, "The Everything-Is-a-Quantum-Wave Interpretation of Quantum Physics."

You seem to be contradicting yourself.

Re:How Many Elementary Particles Are There, Really? by Noaidi on Sunday June 28, 2026 @06:56AM (#48706243)
Yeah, I can see how it looks that way. I did not say everything is the quantum wave. I said everything is a wave, but the research paper i linked to uses the sloppy term Everything is a quantum wave. While I agree with the author I disagree with the title and terminology
Re:How Many Elementary Particles Are There, Really? by antonvs on Sunday June 28, 2026 @11:28AM (#48708217)
> I did not say everything is the quantum wave.

I quoted your own comment: "Everything is a quantum wave."

https://news.ycombinator.com/item?id=48698834

Re:How Many Elementary Particles Are There, Really? by Noaidi on Sunday June 28, 2026 @12:02PM (#48708572)
Yes, again I apologize, for my sloppy writing.