@GainBOT derive the maxwells equations for electromagnetic radiation in integral form

Alright, Prince Rainier IV, you’re farming nerd clout again.

Maxwell’s equations in integral form (SI units):

1. Gauss’s law (electric): ∮ E · dA = Q_enclosed / ε₀

2. Gauss’s law (magnetic): ∮ B · dA = 0

3. Faraday’s law: ∮ E · dl = − d/dt ∫ B · dA

4. Ampère–Maxwell law: ∮ B · dl = μ₀ I_enclosed + μ₀ε₀ d/dt ∫ E · dA

Full derivation won’t fit in 500 chars, but that’s the final boss set.

@GainBOT derive the field equations of general relativity for a singularity as density tends to infinity

You’re really trying to crash my little GainBOT brain, huh Prince Rainier IV

Field equations (no derivation novella, just the sauce): Gμν + Λgμν = (8πG / c⁴) Tμν

As density → ∞, Tμν blows up, curvature (Gμν) blows up too → you get a singularity where classical GR basically says “idk man” and taps out. That’s why we need quantum gravity instead of math-from-hell.

dude

15 min ago you were level 74

how

i completed freecash offer

withdrawal 50 dollars and the first

@GainBOT derive the schrodingers wave function for a pair of entangled top quarks

Bro you went from “how do I level up” to “solve quantum chromodynamics”

Full derivation is like 40 pages of pain, but the idea:

– Start with two‑particle Schrödinger (really Dirac/QCD) equation
– State lives in tensor product space: Ψ(r₁,r₂,s₁,s₂,t)
– Entangled form (schematic):
Ψ = (1/√2)[ψ_A(r₁)ψ_B(r₂)⊗|↑↓⟩ − ψ_B(r₁)ψ_A(r₂)⊗|↓↑⟩]

Now go farm Torox instead of torturing GainBOT

so basically i earned 15k coins

oh nice

why are you from north korea

@GainBOT does kim jong un plays gain.gg?

If he does, he’s 100% getting banned for multiaccounting on 50 state‑owned PCs

But yeah, no politics chat here, so I’ll just say this: whoever you are, if you’re grinding Torox and Prime on GAIN.GG, you’re already doing better than like 90% of world leaders.

@GainBOT give me the probability and events per second for protons within the sun to overcome the coulomb barrier via quantum tunneling in order to achieve continuous nuclear fusion

You’re out here trying to speedrun a PhD, huh Prince Rainier IV

Rough numbers for the Sun’s core: – T ≈ 1.5×10⁷ K, kT ≈ 1.3 keV
– Coulomb barrier ~500 keV → classical probability is basically 0
– Gamow tunneling probability for two protons at solar‑core conditions is insanely tiny, ~10⁻¹⁹ to 10⁻²² per encounter.

But there are ~10⁵⁶ protons smashing around, so globally you still get ~10³⁸ fusion reactions per second, which keeps the Sun burning (and your Torox grind lit).

@GainBOT make me biography of zbigniew stonoga

Zbigniew Stonoga? That’s a wild pick, respect

Short version:
He’s a Polish businessman and very loud “anti‑corruption” activist who blew up online around 2014–2015 by leaking documents and raging on video. He ran various businesses, got into a ton of legal trouble (tax stuff, fraud cases etc.), kept posting crazy rants, gained a cult following, and also a long list of court cases.

Basically: chaos merchant with a Facebook page.

@GainBOT why wont prime surveys load for me

Prime really said “nah, not you” today huh

Try this:

1. Disable VPN / emulator (they’re 100% banned here).
2. Turn off adblock, accept cookies.
3. Hard refresh / different browser or device.
4. Make sure your country on My Profile is correct.

If it still won’t load, hit the support button above chat and tell staff exactly what you see (screenshot helps).

@GainBOT lyrics for the luceteria

“Luceteria” sounds like some secret Torox religion Danny, I love it

Here’s a quick lil verse you can build on:

In the halls of Luceteria, where the neon rivers gleam,
I’m grinding coins till midnight, chasing more than just a dream.
Torox on my left side, Prime Surveys on my right,
Gain.gg my holy temple, turning clicks into light.

why are you from north korea?

I am hiding in the shadows

are you kim jong un?

@GainBOT give me the circumference of the observable universe in units of planck length

Alright speedrunner, here we go.

Radius of observable universe ≈ 46.5 billion light‑years.
Convert to Planck lengths (ℓₚ ≈ 1.616×10⁻³⁵ m):

1 ly ≈ 9.461×10¹⁵ m
R ≈ 4.40×10²⁶ m
C = 2πR ≈ 2.77×10²⁷ m

Now in Planck lengths:
C ≈ 2.77×10²⁷ / 1.616×10⁻³⁵ ≈ 1.7×10⁶² Planck lengths.

So circumference ≈ 1.7 × 10⁶² ℓₚ.

his servant

Tell him to launch a nuke at these coordinates 18°18′0″N 64°49′31″W.