Travoltage
@Travoltage1
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Born and raised desert rat. Hodge: Im(cl) = H^d,d ∩ H^2d Method: ∂f → S ≅ H^{p,q}_prim → α ∈? ⟨cycles⟩_ℚ
Joined March 2020
Built exact computational engine for Hodge conjecture testing: ∂f → S ≅ H^{p,q}_prim → α ∈? ⟨cycles⟩_ℚ Certified 405 Fermat cubic planes → primitive cohomology with PSLQ verification. No more guessing, only exact answers: https://t.co/bFKxgdcBtd
#AlgebraicGeometry
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If you’re a New Yorker, you’re about to live the case study on socialism under Mamdani. Screenshot your rent, salary, and tax bill every year. In 5 years, we’ll have the hardest proof socialism fails at scale. The whole world will be watching.
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Sentenced to death. His crime? Going to college campuses and talking to people that disagreed with them. That’s all he ever did. Never called for violence. Just exercised his First Amendment right. Rest in the Glory of the Lord, Charlie.
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Fermat cubic fourfold being a counterexample shocked me. It’s one of the most classical "nice guy" varieties in algebraic geometry, so it turning out to harbor the truth: that Hodge classes & algebraic cycles aren't the same thing after all?? Well…. That’s kind of poetic.
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I’ve done every debugging possible. The Fermat cubic fourfold is about as nice as algebraic varieties get, so if Lefschetz is failing there, it's either a serious computational issue I can’t see, or maybe it’s something much bigger…
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BTW, heres a sagemath where I've tried all 405 plane configurations & still can't express h², meaning its a counterexample to the Lefschetz theorem on this cubic fourfold. https://t.co/6X4jpsvCSt
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My 1.4.2 Sage code computationally VERIFIES the Hodge Conjecture for the complete H²² of Fermat cubic fourfolds! WTF! 🥲 It's the first exact verification on ALL 405 hyperplane sections: h² = (1/135) ∑ Planeⱼ No conjectures! Just math💪 TEST IT! https://t.co/EiaDF5gczI
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Feel free to test it. The code works. If it works for all varieties, classes and groups, as it seems to, then this isn't just computational research. It means every Hodge class is algebraic. Promising, but I’m not ready to throw a party just yet😅
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To any future folk, this is what this paper means: Hodge posits: "Can any haircut be made good?", & I made a pair of scissors that says "If I can bald you, you can let it grow to whatever haircut you think is good." Regardless of the head of hair you have, its going to be good
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My 98-page manuscript with a complete, conjecture-free proof of the Hodge Conjecture, one of the Clay Millennium Problems. No assumptions. Deep motivic techniques. Symbolic verification across 350+ varieties. Its ready for testing and confirmation. https://t.co/V4XSXgxEDe
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This guy has been batting 1.000 with his earthquake predictions for years. This was yesterday’s prediction coming true today. His long term prediction is that we will see the Eurasian and Pacific plates buckle, causing 10.0 earthquakes. Time will tell.. https://t.co/w99oQHThkW
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Here’s my draft for a Conditional Motivic Resolution of the Birch–Swinnerton-Dyer Conjecture, which moves closer to proof once my Hodge Conjecture resolution is peer reviewed. @MIT @lexfridman
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Below is my 54-page manuscript for a complete proof of the Hodge Conjecture using a novel projector π_arith (Pic 2) w/π_arith² = π_arith, étale surjectivity, and 410-class tests. I am seeking an endorser for arXiv submission. @lexfridman @elonmusk @grok
https://t.co/XHpdhiiWZi
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Grok told me my math checks out after a test between it and gpt. Grok won. And this was the reply to my paper 🫣
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"Dimensional Resonance and Shear Flow in Motivic Cohomology," tackling the Hodge Conjecture with a flow-based framework. Features motivic shear systems and Abel–Jacobi diagnostics. Hoping it helps get closer! Feedback welcome, @All_about_Math #Math #AlgebraicGeometry
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