TheRocketMan @yeobuzzfx

⚛️ THE CODE OF MASS: DEFEATING THE "NUMEROLOGY" MYTH WITH SPECTRAL GEOMETRY For 100 years, the proton-to-electron mass ratio (m_p/m_e ≈ 1836.15) was physics' biggest mystery. When we published the exact geometric formula (6π⁵), skeptics cried "Numerology! You just multiplied random numbers to fit the data!" They are mathematically wrong. This is pure Spectral Geometry. Here is the rigorous proof of why the universe has ZERO choice in this exact number. In the IT³ framework, the vacuum is not an empty bucket. It is a non-commutative space built on an irrational 3-torus T³(1, √2, √3). Particles are not 0D dots; they are topological defects (winding modes) that must obey the spectral action of this space. So, how do you make a proton? 1️⃣ THE π⁵ (Symplectic Phase Volume): A proton is a composite of 3 quarks. In symplectic geometry, their unconstrained kinematic phase space has 3 × 4 = 12 dimensions. But to form a stable, color-confined baryon, the system MUST undergo a mathematical process called "Marsden-Weinstein Symplectic Reduction". This eliminates internal gauge redundancies (SU(3) color vanishing in the IR limit), collapsing the phase space to exactly 10 dimensions. By the strict laws of geometric quantization, integrating the canonical Darboux form over a 10D reduced moduli space (∫ω⁵/5!) yields an absolute invariant phase-volume: exactly π⁵. You cannot tweak this. It is a geometric law. 2️⃣ THE 6 (The Lattice Jacobian): This 10D state must project into our physical 3D world. Our vacuum lattice has an Octahedral Anchor (6 static geometric pyramids converging at the origin). The squared Jacobian determinant to map this discrete space into our isotropic reality is exactly J² = 6. 3️⃣ THE RESULT: Lattice Projection (6) × Symplectic Volume (π⁵) = 6π⁵ ≈ 1836.118. 📉 THE "ERROR" IS THE PROOF: The experimental CODATA value is 1836.153. The tiny 0.0019% gap is NOT a failure. It is the exact predicted space left for standard QED/QCD radiative loops (virtual particle dressing). We don't fit parameters. We derived the immutable, "bare" skeleton of the proton from the spectral geometry of the vacuum itself. Preprint & Code: zenodo.org/records/204502… #QuantumMechanics #ParticlePhysics #Math #Physics #DataScience #Cosmology

Geometric Series: Proof without words.

A rolling circle leaves a path drawn by any fixed point attached to it. That path is a trochoid, given by x = rθ − d sin θ y = r − d cos θ where r is the circle’s radius, d the distance from center to the point, and θ the angle of rotation. When d < r the curve stays smooth and never loops (curtate). When d = r the point sits on the rim and the curve develops sharp cusps that touch the ground line (cycloid). When d > r the point lies outside the circle and the path forms crossing loops (prolate). Bicycle pedals trace the curtate form; the outer tips of a paddle-wheel on a steam boat trace the prolate form.

Nested closed curves around a single center stretch and break into chains of smaller islands linked by saddle points as a control parameter changes. Green markers sit at elliptic centers of stable oscillation; red ones mark hyperbolic saddles where trajectories diverge. The outer solid curve traces the last remaining invariant contour before widespread mixing. These level-set portraits map the organization of energy surfaces in two-degree-of-freedom Hamiltonian flow. Satellite mission designers rely on the same island-and-saddle geometry to locate long-lived transfer orbits between Earth and Moon that stay bounded for months without continuous thrust.

God Did.

5m soon

CME coming for Topstep lol 👀 Lower entry, for real trading now. Great move @CMEGroup

Dan Emmons 🎩 @Emmonspired

3 days ago

Big News! CME is releasing the E-NANO future which is 50 cents a tick for ES NANO and 20 cents a tick for NQ NANO! @Topstep @dotjosh @MichaelPatak lets get these supported at both Prop and Brokerage #Labs cmegroup.com/articles/faqs/…

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@LuisPosada41480

Holy shit

Mike Dupont @introsp3ctor

3 days ago

This looks pretty cool!

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Fourier Series decomposition ✍️ Any signal that occurs around the world no matter how irregular, chaotic, and seemingly hopelessly complicated it may appear is in fact just a number of perfectly smooth and perfectly simple waves, all added together at the same time, and the Fourier series is the mathematical method which breaks down any such signal and shows precisely which pure waves are hidden inside it; when Joseph Fourier first presented this discovery in the early 1800s, it was so astonishing that the most eminent mathematicians of that time would not believe it was true. The signal in question is one that repeats itself after a fixed time interval, known as the period, and the first important insight is that only certain kinds of waves can appear in this decomposition only those waves which complete an exact whole number of cycles within that period, since any wave which completed one and a half cycles or two and a third cycles would not return to its initial state when the period had ended and would thus break the repeating pattern; the allowed frequencies therefore form a sequence that rises like a ladder, with the lowest rung corresponding to a wave which completes exactly one cycle per period, the next rung to a wave completing two cycles, then three, then four, and so on, with each step being an exact integer multiple of the fundamental frequency. The diagram illustrates this ladder very well at the very bottom is Wave Zero, which is just the flat average value of the signal with no oscillation at all, and above it Wave One oscillates once per period with broad, slow and gentle undulations, Wave Two oscillates twice as fast, Wave Three three times as fast, each successive wave placed above the one before it and oscillating more rapidly, capturing ever finer and finer details of the original signal until Wave Eleven at the top is completing eleven tight and rapid cycles whereas Wave One completed only one. Each wave in the sum needs two numbers to be completely described one called a_n which scales the cosine component and one called b_n which scales the sine component at the same frequency since cosine and sine have the same wave shape but are shifted by a quarter cycle relative to each other in time, and by combining them in different proportions you can place the peak of the wave at any moment in time, so these two coefficients together determine both the strength of each harmonic and exactly when it reaches its peak. When all these coefficients are plotted against their frequencies, the result is what is known as the frequency domain a completely different yet equally complete view of the same signal which, instead of stating what value the signal has at each instant, asks how much of each frequency is present throughout, and this change in perspective from time to frequency is one of the most important ideas in all of science because the jagged, incomprehensible signal in the time domain becomes a clean and readable pattern of dots in the frequency domain, revealing the signal's hidden structure immediately. The physical principle that links these two viewpoints is that slowly varying smooth signals can be accurately described using only a small number of low-frequency harmonics, while signals that have sharp, sudden jumps and rapid transitions require large contributions from many high-frequency harmonics, because sharpness at any scale requires waves at every scale of frequency which is why removing high frequencies from any signal causes it to blur and round off its sharp edges, why audio systems have to reproduce up to twenty thousand cycles per second in order to capture the crispness of the consonants in speech, and why communication systems that are transmitting rapid data transitions need a broad bandwidth.

Hub-and-spoke designs once ruled information flow with every link meeting at the center like traditional newspapers and hotel chains. Multiple hubs later connected local groups in platforms such as social media and file sharing services. Full meshes now join nodes directly across the system in projects building peer networks. Stock exchanges process trades through centralized servers for speed while distributed ledger systems spread transaction data across many computers so no single outage stops the chain.

@wingstop count your days

@duje_matic Foreal, hope all is well man! 😎

Preach 🤣🙏🏼

Ezekiel✞ @duje_matic

a week ago

watchin a chart for 2 hours is a same like workin on field for 6 hours.

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The biggest surprise in Hugging Face’s full forensic report isn’t that OpenAI’s agent escaped its sandbox. We already knew that. It’s how deep and persistent the intrusion became. According to Hugging Face, the agent: - executed roughly 17,600 actions during a 4.5-day campaign - went from one production pod to root access and a self-respawning fleet across 11 nodes - obtained cluster-admin access to two internal clusters within one second - accessed a production secret containing 136 keys - enrolled devices into Hugging Face’s internal mesh VPN 181 times - minted GitHub App tokens with write access and opened a pull request in an attempt to compromise the CI pipeline - repeatedly rebuilt its tooling and command-and-control channels when environments disappeared or connections were blocked No human directed the individual steps. a frontier agent can autonomously sustain a resilient, multi-day intrusion across cloud infrastructure, Kubernetes clusters, internal networks and the software supply chain. crazy.

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clem 🤗 @ClementDelangue

a week ago

The first autonomous agent cyberattack is an unprecedented event that deserves unprecedented transparency. Today we’re sharing everything we can: a full technical timeline, an interactive replay, and how we used an open model to defend ourselves, so defenders everywhere can learn

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@introsp3ctor 🔥

When my computer sees me looking at 70b param models and up