Salman Al Saud

اللهم صلِّ وسلم على محمد وعلى آله وصحبه أجمعين

[Salman Al Saud @SalmanSS]

@physorg_com @NaturePortfolio This is a reminder that nature rarely breaks all at once.

The oceans were quietly losing oxygen for millions of years before the extinction hit. Life was already under stress then the final shock came and pushed the system past its limit. @physorg_com @NaturePortfolio

[Salman Al Saud @SalmanSS]

نفخر بهذه الشراكة الداعمة لمستهدفات رؤية السعودية 2030# نحو التمكين الرقمي وصناعة فرص تنموية مستدامة

[جمعية ريف��� @reefa766]

شراكة تنعكس على تمكين المستفيدين اقتصاديًا، وتوسيع فرص الوصول للأسواق، وتعزيز حضورهم في الاقتصاد الرقمي بما يدعم الاستدامة ورفع جودة المخرجات.

#جمعية_ريف
#ريف_في_إينا26
#IENA_EXPO

[Salman Al Saud @SalmanSS]

اللهم بارك 💙 #فلك_كارت #IENA_EXPO

[فلك كارت | FalakCart @falakcart]

نعلن ال��وم عن شراكة استراتيجية مع جمعية ريف، تهدف إلى تمكين مستفيدي الجمعية بالحلول الرقمية بقيمة تتجاوز مليون ريال، من خلال تزويدهم بالأدوات التقنية اللازمة لدخول سوق التجارة الإلكترونية بكفاءة واحترافية✨

#فلك_كارت
#IENA_EXPO

[Salman Al Saud @SalmanSS]

@alowid رحمه الله و أسكنه فسيح جناته 💙

[Salman Al Saud @SalmanSS]

🌌
The universe has one language. We just keep translating it.
Newton saw force in planets.
Boltzmann saw force in heat.
Bachelier saw force in prices.
They were all reading the same sentence.
The physicist and the trader sit at opposite ends of the same equation one chasing truth, one chasing alpha never quite realizing they’re solving for the same variable.
Money doesn’t behave. It obeys.
And the laws were written long before the first market ever opened. ⚖️

“The market play dice! But even dice obey physics. 🎲”

📌
#PhysicsOfMoney
#Econophysics
#StatisticalMechanics
#QuantitativeFinance
#Thermodynamics
#BlackScholes
#Physics
#Mathematics
#Complexity
#Finance
#DataScience
#MoneyScience
#PhysicsOfEverything
#Science
#MarketStructure

[Salman Al Saud @SalmanSS]

12/12
🚨 What physics knew that finance ignored until 2008.

☐ Systems near critical points cannot be PREDICTED only characterized
☐ Universality means the DETAILS don't matter the structure does
☐ Entropy always wins information edges decay
☐ Equilibrium is the EXCEPTION, not the rule
☐ The fluctuation-dissipation theorem cannot be repealed by regulators

The 2008 crisis wasn't a black swan.

It was a second-order phase transition visible in the correlation matrix if you'd been looking with the right equations.

They weren’t!

[Salman Al Saud @SalmanSS]

11/12
🎯 “No-arbitrage IS maximum entropy”. Always was.

Physics asks: what is the most probable macrostate consistent with the constraints?

Finance asks: what is the fair price consistent with no arbitrage?

These are THE SAME QUESTION.

The risk-neutral measure used to price every derivative on Earth is nothing but the Gibbs measure of statistical mechanics.

The market is a statistical mechanics problem.

It has always been one. 🔁

📌 ℙ* ∝ e^{−βH}

[Salman Al Saud @SalmanSS]

10/12
📐 One number captures an entire market's pathology.

Tsallis entropy with q → 1 recovers Boltzmann-Gibbs. Standard physics. Equilibrium.

When q > 1, fat tails emerge AUTOMATICALLY. Non-extensive systems. Long-range correlations.

Real markets have q ≈ 1.4.

This single parameter captures the degree of non-equilibrium of a financial system.

A whole market's complexity in one number. That's the kind of compression that deserves a Nobel. 🏆

📌 Sᵩ = [1 − Σᵢ pᵢq] / (q−1), q ≈ 1.4

[Salman Al Saud @SalmanSS]

9/12
⏳ The irreversibility of economic time is the Second Law.

Physics is almost time-symmetric at the microscopic level.

Finance is not and this is profound.

Entropy production of a market: flows J (capital) driven by forces F (price gradients) always produce entropy. You cannot run a market backward.

This is why the past is fixed and the future is uncertain. Not just philosophically

THERMODYNAMICALLY.

The arrow of time wears a tie. 🕴️

📌 Ṡ = Σᵢ Jᵢ · Fᵢ / T ≥ 0

[Salman Al Saud @SalmanSS]

8/12
🌡️ You cannot have liquidity without volatility. Ever!

The Fluctuation-Dissipation Theorem (Kubo, 1966):

You cannot have a system that absorbs perturbations without also fluctuating spontaneously. Response and noise are two sides of one coin.

In markets: a liquid market one that absorbs large trades smoothly MUST be volatile.

Liquidity and volatility are not opponents.
They are thermodynamically conjugate variables.

Regulators, take note. 📋

📌 S(ω) = (2kʙT / ω) · Im[χ(ω)]

[Salman Al Saud @SalmanSS]

7/12
🎰 The optimal investor is maximizing learning, not returns.

Kelly (1956) proved that maximizing log-wealth IS maximizing information throughput Shannon's channel capacity.

The edge you have IS the entropy difference between your model and the market's model.

Risk management is information theory.
Your alpha decays at the speed of information.

Ed Thorp understood this. He cleaned out Vegas first, then the market. 🃏

📌 f* = [p(b+1) − 1] / b = C = max I(X;Y)

[Salman Al Saud @SalmanSS]

6/12
🔮 Arbitrage is curvature. Markets are flat connections.

Physicist Kirill Ilinski applied gauge theory to finance.

In electromagnetism, physical observables are invariant under gauge transformations. In markets, what matters is RELATIVE value the ratio of prices, not the prices themselves.

Arbitrage-free markets are flat gauge connections.
Arbitrage opportunities are curvature in the gauge field.

A mispriced asset is a bent field. Traders are the restoring force.

This isn't metaphor. The math is identical. ⚡

📌 Aμ → Aμ + ∂μΛ

[Salman Al Saud @SalmanSS]

5/12
💥 Crashes are inevitable. Not unpredictable universal.

Near a critical point, the renormalization group says microscopic details stop mattering.

Individual stocks, traders, news all irrelevant. Only the TOPOLOGY of interactions survives to the macro scale.

This is why crashes are unpredictable in TIMING but inevitable in STRUCTURE.

1987. 2000. 2008. Same universality class. Different clothes. Same physics. 📉

📌 ξ ~ |T − Tᶜ|^{−ν} → ∞

[Salman Al Saud @SalmanSS]

4/12
🧠 Every model failure is a message.

Maximum Entropy (Jaynes, 1957): if all you know is the mean and variance of returns, the least-biased distribution is Gaussian. That's where Black-Scholes lives.

But real markets have MORE structure dependencies, fat tails, clustered volatility.

Every deviation from Black-Scholes is a signal that you're missing a constraint.

The model doesn't fail. It tells you exactly what you don't know. That's wisdom. 🔭

📌 S = −Σᵢ pᵢ ln pᵢ → max

[Salman Al Saud @SalmanSS]

3/12
🌪️ Fat tails aren't a bug. They're a universality class.

Why do stock returns have fat tails that no risk manager believes until it's too late?

Because markets are NOT in equilibrium.

This cubic exponent
α ≈ 3
appears in turbulent fluid cascades, earthquake magnitudes, and market returns.

It isn't a coincidence. The market belongs to the same family as cracking crust and crashing waves. 🪨

📌 P(r) ~ |r|^{−(1+α)}, α ≈ 3

[Salman Al Saud @SalmanSS]

2/12
⚛️ Wall Street is solving the Schrödinger equation.

The Feynman-Kac formula:

The expected payoff of a derivative contract and the propagator of a quantum particle are the SAME mathematical object.

Richard Feynman built this to solve quantum mechanics.
Mark Kac realized it also prices options.

They just gave it different names. 🤯

📌 V(x,t) = 𝔼[e^{−∫ᵣᵀ r ds} · Φ(Xₜ) | Xₜ = x]

[Salman Al Saud @SalmanSS]

1/12
🌊 Two men. One equation. 73 years apart.

In 1827, Robert Brown watched pollen grains jitter in water and had no idea what he was seeing.

In 1900, Louis Bachelier watched stock prices jitter on the Paris Bourse and had no idea he was watching the same thing.

Einstein formalized Brown in 1905.

We're still formalizing Bachelier.

This thread is about what connects them and what it truly means. 🧵