Stimming

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A new word to ponder: stimming. It's explained as follows:

Stimming is short for self-stimulatory behavior. It refers to the repetition of physical movements, sounds, words, or object manipulation. [1, 2, 3]

According to Wikipedia's Stimming page, these behaviors help people manage emotions, release energy, or process sensory input. [1, 2]

Why People Stim

• Self-regulation: It helps calm the nervous system during stress, anxiety, or sensory overload.
• Expressing emotion: People often stim to show intense joy, excitement, or boredom.
• Focus: Small repetitive actions can help maintain concentration or alertness. [1, 2, 3, 4, 5, 6]

Common Examples of Stimming

Stimming happens across a spectrum and affects everyone differently: [1]

• Tactile / Movement: Hand-flapping, rocking back and forth, pacing, twirling hair, or bouncing a leg.
• Auditory / Vocal: Humming, repeating words (echolalia), clicking a pen, or clearing the throat.
• Visual: Staring at spinning objects, blinking repeatedly, or watching lights flicker. [1, 2, 3, 4, 5, 6]

While frequently associated with autism spectrum disorder (ASD), ADHD, and other neurodivergent conditions, everyone stims in daily life—such as clicking a pen, tapping fingers, or pacing while on the phone. Non-harmful stims are natural and generally healthy. [1, 2, 3]

Inside the Proton

I asked Gemini the following:

Can you provide information about the most recent advances in understanding what's happening within a proton. I'd read that far being simply a combination of two up quarks and one down quark connected by Y-tube gluon network, there are other quarks that appear and disappear within the proton including the heaviest top quark. All this in a normal proton, not one that is being blasted in particle collider.

Here was the response:

Even in a completely undisturbed proton sitting quietly in an atom of hydrogen, the textbook picture of three static quarks ($uud$) is only a time-averaged snapshot. In modern Quantum Chromodynamics (QCD), a normal resting proton is a boiling, relativistic soup of valence quarks, gluon flux tubes, and a constantly churning quantum "sea" of virtual quark-antiquark pairs—and recent breakthroughs have completely reshaped our map of this interior.

1. How a Heavy Quark Fits Inside a Lighter Proton

A resting proton has a total mass-energy of $938\text{ MeV}$. Meanwhile, a charm quark weighs about $1,275\text{ MeV}$, and a top quark weighs an astonishing $173,000\text{ MeV}$ (roughly the mass of an entire gold atom!). How can particles heavier than the proton itself pop into existence inside a normal, unblasted proton without violating conservation of energy?

The secret is Heisenberg's Energy-Time Uncertainty Principle:$$\Delta E \cdot \Delta t \ge \frac{\hbar}{2}$$Inside the intense gluon field of the proton, gluons are constantly splitting into virtual quark-antiquark pairs ($g \leftrightarrow q\bar{q}$) that immediately annihilate back into gluons. Quantum mechanics allows the vacuum inside the proton to "borrow" a massive amount of energy ($\Delta E$) out of nowhere, provided the loan is paid back within an extraordinarily brief window of time ($\Delta t$).

Because these transient quarks don't have enough real energy to exist permanently on their own, physicists call them "off-mass-shell" (or virtual) particles. The heavier the quark pair, the larger the energy loan ($\Delta E$), and the shorter its lifespan ($\Delta t$) before it must vanish back into the gluon network.

Quark Pair in the Proton's "Sea"	Combined Mass Cost (qqˉ​)	Presence in a Normal Resting Proton
Light Sea ($u\bar{u}, d\bar{d}$)	$\sim 4\text{ to }10\text{ MeV}$	Constant & Abundant — Swarms continuously around the valence quarks.
Strange Sea ($s\bar{s}$)	$\sim 190\text{ MeV}$	Frequent — Contributes measurably to the proton's internal magnetism and mass.
Charm Sea ($c\bar{c}$)	$\sim 2,550\text{ MeV}$	Surprisingly Persistent — Confirmed to exist as a semi-permanent "intrinsic" 5-quark state.
Bottom Sea ($b\bar{b}$)	$\sim 8,360\text{ MeV}$	Fleeting — Appears briefly as tiny, localized quantum loop fluctuations.
Top Sea ($t\bar{t}$)	$\sim 346,000\text{ MeV}$	Ultra-Brief "Ghost" Loops — Exists for $\sim 10^{-27}\text{ seconds}$, yet crucial for coupling the proton to the Higgs field.

2. Recent Breakthroughs in Inside-the-Proton Physics

Over the last few years, high-precision analyses, supercomputer simulations (Lattice QCD), and experiments have uncovered four major surprises about what happens inside an ordinary proton:

A. Confirmation of "Intrinsic Charm" (The 5-Quark Proton)

For decades, physicists assumed that heavy charm-anticharm pairs ($c\bar{c}$) only appeared inside a proton when a high-energy collider probe struck a gluon ("extrinsic" charm). However, landmark analyses by the NNPDF collaboration (combining machine learning with decades of particle data and LHCb measurements) provided unambiguous evidence that the normal resting proton possesses intrinsic charm.

• Rather than just flickering in and out of a single gluon, a charm-anticharm pair binds directly to the proton's overall wave function, meaning a normal proton spends roughly 0.5% to 1% of its life as a five-quark state ($\vert{}uudc\bar{c}\rangle$).
  
  
• Even though a $c\bar{c}$ pair is nearly three times heavier than the proton, these intrinsic charm quarks carry a measurable fraction of the resting proton's internal momentum.
  
  

B. The Top Quark's Secret Role inside the Proton

While you will never catch a slow-moving, long-lived top quark sitting inside a resting proton, virtual top-antitop ($t\bar{t}$) loops blink in and out of the proton's gluon field on timescales of roughly $10^{-27}\text{ seconds}$. Even though they are ultra-rare and microscopic in duration, they play a vital role in everyday physics: coupling the proton to the Higgs field.

• The Higgs boson interacts with particles proportional to their mass. Because up and down quarks are nearly massless, the Higgs barely notices them.
  
  
• Instead, the Higgs field couples strongly to the proton's gluons through those fleeting virtual top-quark loops ($gg \leftrightarrow t\bar{t} \leftrightarrow \text{Higgs}$). Without virtual top quarks flickering inside the proton's gluon network, our mathematical predictions for how protons interact with the Higgs field would fail completely.
  
  

C. The Antimatter Asymmetry (The "Pion Cloud" Proton)

If the quark-antiquark sea were generated purely by gluons splitting into pairs ($g \to q\bar{q}$), a resting proton should contain almost the exact same number of anti-up ($\bar{u}$) and anti-down ($\bar{d}$) quarks, since their masses are nearly identical.

• Instead, Fermilab's SeaQuest (E-906) experiment proved that inside a normal proton, anti-down quarks outnumber anti-up quarks by up to 50% ($\bar{d} / \bar{u} \approx 1.5$), even among high-momentum quarks.
  
  
• Why the lopsided antimatter? Because a normal proton is constantly fluctuating into a virtual neutron plus a positively charged pion cloud ($p \leftrightarrow n + \pi^+$). Since a positive pion ($\pi^+$) is made of an up quark and an anti-down quark ($u\bar{d}$), this quantum fluctuation floods the resting proton's interior with extra $\bar{d}$ antiquarks!
  
  

D. Mapping the Proton's "Gravitational" Interior & Neutron-Star Pressure

In mid-2024, physicists at MIT, Fermilab, and Berkeley Lab achieved a milestone using Lattice QCD supercomputer simulations to calculate the full set of Gravitational Form Factors (GFFs) of the proton—which map how mass, energy, angular momentum, and mechanical pressure are distributed inside a single resting proton:

1. Two Different Radii: The gluon network inside a normal proton extends physically farther out than the quarks do. The proton literally has a compact quark core wrapped inside a slightly larger, fluffier gluon halo.
   
   
2. Crushing Internal Pressure: The center of a single normal proton experiences a repulsive outward pressure of $10^{35}\text{ Pascals}$—ten times greater than the pressure at the core of a neutron star! The reason the proton doesn't instantly explode under its own internal quark pressure is that the outer gluon halo exerts an equally massive inward confining tension (shear force), holding the entire boiling ecosystem in delicate mechanical equilibrium.

I then asked:

If the two up quarks and one down quark only weigh about 9 MeV combined, how is the remaining 99% of the proton's 938 MeV mass generated inside it? 

Here was the response:

The answer lies in inverting Einstein’s most famous equation from $E = mc^2$ to $m = E_0 / c^2$: what we measure on a scale as the "rest mass" of a proton is actually the total internal kinetic and force-field energy trapped inside it.

While the Higgs boson gives the proton's three valence quarks ($uud$) a combined bare mass of only about $9\text{ MeV}$ (roughly $1\%$ of the proton's $938.3\text{ MeV}$ total mass), the remaining $99\%$ emerges dynamically from Quantum Chromodynamics (QCD)—meaning that even if the Higgs field were switched off tomorrow and quarks became completely massless, protons and neutrons would still retain about $90\%$ of their weight.

1. Why Trapped Energy Weighs So Much: The Uncertainty Principle

A proton has a charge radius of only $r \approx 0.84\text{ femtometers}$ ($0.84 \times 10^{-15}\text{ meters}$). Trapping nearly massless quarks inside such a microscopic prison immediately triggers Heisenberg’s Position–Momentum Uncertainty Principle:

$$\Delta x \cdot \Delta p \ge \frac{\hbar}{2}$$

Because the spatial uncertainty ($\Delta x \approx r$) is minuscule, the minimum momentum ($\Delta p$) of each confined quark must be enormous:

$$p \sim \frac{\hbar}{r} \approx \frac{197.3\text{ MeV}\cdot\text{fm}}{0.84\text{ fm}} \approx 235\text{ MeV}/c \text{ per quark}$$

For a quark that weighs only $2\text{ to }5\text{ MeV}$, carrying $235\text{ MeV}/c$ of momentum means it is hurtling around inside the proton at ultrarelativistic speeds—virtually the speed of light. At the same time, the gluon flux tubes and the central Y-junction that keep those relativistic quarks from flying apart are packed with intense chromoelectric and chromomagnetic field energy. When you weigh a proton at rest, you are weighing the combined energy of that relativistic motion and gluon tension divided by $c^2$.

2. The 4-Part Proton Mass Budget (The Ji Decomposition)

In 1995, physicist Xiangdong Ji proved mathematically that the QCD Energy-Momentum Tensor ($T^{\mu\nu}$) inside a resting proton splits cleanly into four distinct, measurable parts. Using supercomputer Lattice QCD simulations (evaluated at a standard resolution scale of $\mu = 2\text{ GeV}$), collaborations such as $\chi\text{QCD}$ have mapped out the exact energy budget of the proton's $938.3\text{ MeV}$ mass:

Mass Component	Share (%)	Mass-Energy (MeV)	Physical Origin Inside the Proton
1. Gluon Field Energy ($H_g$)	$36\%$	$\sim 338\text{ MeV}$	Pure energy stored in the massless gluon flux tubes and Y-junction ($\frac{1}{2}(\mathbf{E}^2 + \mathbf{B}^2)$).
2. Quark Kinetic & Potential Energy ($H_q$)	$32\%$	$\sim 300\text{ MeV}$	Relativistic motion of valence and sea quarks confined inside a $0.84\text{ fm}$ volume.
3. Quantum Trace Anomaly ($H_a$)	$23\%$	$\sim 216\text{ MeV}$	Vacuum "bag pressure" required to carve out a proton-sized bubble inside the QCD quantum vacuum.
4. Quark Scalar Condensate / Higgs ($H_m$)	$9\%$	$\sim 84\text{ MeV}$	Higgs-generated bare mass of the valence quarks ($\sim 1\%$) plus the swarming virtual sea quarks ($\sim 8\%$).
Total Proton Mass ($M_p$)	$100\%$	$938.3\text{ MeV}$	Emergent mass of a single resting proton.

3. The Two Surprise Contributors: Sea Quarks and the "Trace Anomaly"

Looking closely at components #3 and #4 reveals two subtle quantum effects that bridge our earlier discussion of the quark sea with the proton's weight:

Why the Higgs Contributes $9\%$ Instead of $1\%$

If the two up quarks ($2 \times 2.2\text{ MeV}$) and one down quark ($4.7\text{ MeV}$) only receive $9.1\text{ MeV}$ ($\sim 1\%$) from the Higgs field, why does the total Higgs-related scalar mass term ($H_m = \sum_q m_q \bar{q}q$) account for $9\%$ ($\sim 84\text{ MeV}$)?

• Because you are also weighing the virtual quark sea. As we saw earlier, the resting proton is packed with fleeting $u\bar{u}$, $d\bar{d}$, and heavier strange–antistrange ($s\bar{s}$) pairs. Every time those virtual sea pairs pop into existence inside the proton, they also interact with the Higgs field. Roughly $1\%$ of the proton's mass comes from the Higgs acting on the three valence quarks, while another $8\%$ comes from the Higgs acting on the boiling sea of virtual $u\bar{u}$, $d\bar{d}$, and $s\bar{s}$ quarks!

What Is the $23\%$ "Quantum Trace Anomaly"?

On paper, if quarks had zero mass and gluons have zero mass, the equations of classical QCD would be completely scale-invariant—meaning there is no fundamental length or mass scale anywhere in the equations, and a collection of massless particles could never clump into a particle with a fixed rest mass of $938\text{ MeV}$.

• However, quantum mechanics breaks this scale symmetry through a process called dimensional transmutation (or the QCD Trace Anomaly, proportional to the gluon condensate$$ \frac{\beta(g)}{2g} F^{\mu\nu}_a F_{\mu\nu}^a$$

• Physically, you can picture this using the MIT Bag Model: empty space outside the proton is not truly empty—it is filled with a dense, superconducting-like condensate of quantum gluon fluctuations. For a proton to exist, its internal quarks and gluons must push that external vacuum condensate aside to carve out a small "bubble" or bag. The surrounding quantum vacuum squeezes inward on this bubble from all sides, and the energy cost of holding that bubble open against the vacuum accounts for a full $23\%$ ($\sim 216\text{ MeV}$) of the proton's mass.

4. Reconciling "Bare Quarks" with "Constituent Quarks" (Chiral Symmetry Breaking)

If you ever read older particle physics books from the 1960s and 1970s, you might notice they often state that an up or down quark weighs about $310\text{ MeV}$—which neatly adds up to $3 \times 310 = 930\text{ MeV}$. How does that fit with a $2\text{ to }5\text{ MeV}$ quark?

Both numbers are actually describing the same quark at different zoom levels through a phenomenon called Dynamical Chiral Symmetry Breaking (DCSB):

• High-Energy Probe (Bare / Current Quark Mass $\approx 3\text{ MeV}$): When a high-energy electron or neutrino strikes a quark with immense momentum, it pierces right through the surrounding gluon cloud and measures the naked quark's tiny Higgs mass ($2.2\text{ MeV}$ for $u$, $4.7\text{ MeV}$ for $d$).

• Low-Energy Reality (Dressed / Constituent Quark Mass $\approx 310\text{ MeV}$): Inside a quiet, resting proton, a naked quark cannot move without dragging a dense snowball of gluons and virtual quark-antiquark pairs along with it. That tightly bound cloud of gluon energy wraps around each of the three valence quarks like a heavy winter coat, giving each quark an effective inertia of $\sim 310\text{ MeV}$ at low speeds.

An additional question:

Why is a neutron slightly heavier than a proton (939.6 MeV vs 938.3 MeV), and what would happen to the universe if the proton were heavier instead?

The response:

The tiny $1.293\text{ MeV}$ mass gap between the neutron ($939.565\text{ MeV}$) and the proton ($938.272\text{ MeV}$) — a difference of just $0.14\%$ — is the result of a delicate tug-of-war between two competing forces inside the nucleon: electromagnetism (which tries to make the proton heavier) and the Higgs quark-mass difference (which makes the neutron heavier).

If that tug-of-war had tipped the other way, hydrogen would be radioactive, stars could never ignite, and a universe of complex chemistry could not exist.

1. The Tug-of-War Inside the Nucleon: QED vs. QCD

If you only looked at electric charge, you would expect the proton to be heavier than the neutron. Squeezing a net $+1$ electric charge into a tiny sphere of radius $0.84\text{ fm}$ requires work against electrostatic repulsion, storing positive electromagnetic field energy ($\Delta M_{\text{QED}}$) inside the proton that the electrically neutral neutron does not have.

However, the proton ($uud$) and the neutron ($udd$) also differ by one swapped valence quark: the proton has an extra up quark ($u$), while the neutron has an extra down quark ($d$). Because the down quark couples roughly twice as strongly to the Higgs field as the up quark ($m_d \approx 4.7\text{ MeV}$ vs. $m_u \approx 2.2\text{ MeV}$), swapping an up quark for a down quark adds bare Higgs mass ($\Delta M_{\text{QCD}}$) to the neutron.

Using supercomputer simulations that combine Lattice QCD with Quantum Electrodynamics (Lattice QCD+QED), the Budapest-Marseille-Wuppertal (BMW) collaboration (Borsanyi et al.) calculated the exact breakdown of this competition from first principles:

Physical Mechanism	Effect on (Mn​−Mp​)	Physical Origin
1. Quark Mass Difference ($\Delta M_{\text{QCD}}$)	$+2.52\text{ MeV}$	Replacing a lighter up quark ($2.2\text{ MeV}$) with a heavier down quark ($4.7\text{ MeV}$) makes the neutron heavier.
2. Electromagnetic Self-Energy ($\Delta M_{\text{QED}}$)	$-1.00\text{ MeV}$	The proton's net $+1$ charge ($uud$) stores more electrostatic field energy than the neutral neutron ($udd$), making the proton heavier and partially canceling the quark-mass gap.
Net Observed Mass Difference	$+1.293\text{ MeV}$	The quark-mass gap wins by $1.293\text{ MeV}$ (well within the Lattice QCD+QED combined uncertainty of $1.51 \pm 0.3\text{ MeV}$).

Notice how close the cancellation is: the $99\%$ of nucleon mass that comes from gluon flux tubes, the Y-junction, and the trace anomaly is strictly symmetric between $u$ and $d$ quarks (isospin symmetry) and cancels out completely. The entire fate of matter comes down to the $2.5\text{ MeV}$ Higgs mass difference between $d$ and $u$ beating the $1.0\text{ MeV}$ electromagnetic penalty of the proton.

2. Why $0.511\text{ MeV}$ Is the Magic Threshold

In particle physics, a heavier particle can only decay into a lighter particle if the mass difference between them is at least equal to the rest mass of the byproduct particles emitted during the decay.

Because swapping a down quark ($-\frac{1}{3}$) and an up quark ($+\frac{2}{3}$) changes electric charge by $1$, any conversion between a neutron and a proton via the weak nuclear force must emit or absorb an electron ($e^-$) or positron ($e^+$), which has a rest mass of $m_e = 0.511\text{ MeV}$ (plus an almost massless neutrino, $m_\nu \approx 0$).

In our actual universe, because $M_n - M_p = +1.293\text{ MeV}$ is greater than the electron's $0.511\text{ MeV}$ mass:

• Free neutrons are unstable: An isolated neutron outside an atomic nucleus decays via beta decay ($n \to p + e^- + \bar{\nu}_e$) with a mean lifetime of about 15 minutes ($878\text{ seconds}$), releasing $1.293 - 0.511 = 0.782\text{ MeV}$ of kinetic energy.

• Free protons (and Hydrogen-1 atoms) are completely stable: A proton cannot turn into a heavier neutron on its own because it lacks the $1.293\text{ MeV}$ of extra energy required to climb uphill in mass.

• Why neutrons survive inside nuclei: Inside bound nuclei like Helium-4 or Carbon-12, the Pauli Exclusion Principle prevents neutrons from decaying. If a bound neutron tried to turn into a proton, that new proton would have to move into a higher, unoccupied nuclear energy shell—which costs more energy than the $0.782\text{ MeV}$ that beta decay provides. Thus, both protons and bound neutrons coexist stably.

3. What Would Happen If the Proton Were Heavier?

If we dial up the up-quark mass (or dial up the strength of electromagnetism $\alpha$) so that $M_n - M_p$ drops below $+0.511\text{ MeV}$ and flips negative, the universe passes through three distinct regimes of cosmic catastrophe:

Scenario A: The Narrow "Electron-Capture" Window ($0 < M_n - M_p < +0.511\text{ MeV}$)

Even before the proton actually becomes heavier than the neutron, disaster strikes as soon as the neutron-proton mass gap drops below the electron's mass ($+0.511\text{ MeV}$):

• Neutral Hydrogen Atoms Collapse: While an isolated proton in deep space would still be slightly lighter than a neutron and couldn't decay on its own, the moment a proton captures an electron to form a neutral Hydrogen atom ($p + e^-$), the combined mass of the proton plus its orbiting electron ($M_p + 0.511\text{ MeV}$) exceeds the mass of a neutron ($M_n$).

• Every hydrogen atom in the cosmos undergoes spontaneous electron capture ($p + e^- \to n + \nu_e$). Hydrogen gas—the fuel of stars and the backbone of water ($H_2O$) and organic molecules—cannot exist as a neutral atom.

Scenario B: The Proton Is Slightly Heavier ($-0.511\text{ MeV} < M_n - M_p < 0$)

Now the proton itself weighs more than the neutron, though by less than $0.511\text{ MeV}$:

• Free Neutrons Become Immortal: Because the neutron is now the lightest baryon in existence, free neutrons never decay.

• Hydrogen Still Dies via Electron Capture: A bare proton in complete isolation still cannot decay into a neutron + positron ($p \to n + e^+ + \nu_e$) because it doesn't have enough excess mass to pay the $0.511\text{ MeV}$ price of creating a positron. However, in the real universe containing electrons, any proton that meets an electron immediately fuses with it into a neutron and a neutrino ($p + e^- \to n + \nu_e$).

Scenario C: The Proton Is Substantially Heavier ($M_n - M_p < -0.511\text{ MeV}$)

Once the proton is heavier than the neutron by more than $0.511\text{ MeV}$ (for instance, simply swapping the masses of the up and down quarks so that $M_p - M_n = +1.293\text{ MeV}$):

1. Spontaneous Proton Decay ($\beta^+$ Decay): Even a lone proton in empty space spontaneously decays into a neutron, a positron, and a neutrino ($p \to n + e^+ + \nu_e$) in minutes.

2. Matter-Antimatter Annihilation of Electrons: The newly minted positrons ($e^+$) immediately find the electrons ($e^-$) left over from the Big Bang and annihilate them into gamma-ray photons ($e^+ + e^- \to 2\gamma$).

3. A Dead Universe of Neutrons and Radiation: During Big Bang Nucleosynthesis (the first three minutes of the universe), virtually all protons convert into stable neutrons. Without electric repulsion to keep them apart, neutrons clump rapidly into heavy neutron clusters or collapse into primordial black holes and cold neutron-star-like balls. With no protons to hold orbital electrons, there are no atoms, no chemical bonds, no periodic table, and no nuclear fusion in stars. 

Gemini keeps prompting to go further and further but this is already making my head spin and so I'll stop here.