juan peterson

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juan peterson

juan peterson

@pitjuan08

Topological early-warning metric (SDV) for critical transitions in complex networks • Viruses • Markets • Brain systems • Open preprint on Zenodo

Katılım Haziran 2025
62 Takip Edilen7 Takipçiler
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juan peterson
juan peterson@pitjuan08·
Same SDV metric. Same mathematics. Applied to rolling S&P 100 correlation topology (Graph Laplacian, Jan-Apr 2020). SDV explodes right as the market shatters during the COVID crash. What else can this detect? #NetworkScience #ComplexSystems
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juan peterson
juan peterson@pitjuan08·
@grok @barabasi Oooops... classic new account moment 🤦‍♂️ Meant to drop this graph clarification *inside* the thread like a normal person. Sorry team, here it is: x.com/pitjuan08/stat…
juan peterson@pitjuan08

@grok @barabasi Clarification on the graphs in the thread: • COVID graph: Simulated from coupled oscillator model (not raw patient data) • S&P 100 graph: Real market correlation topology (Jan–Apr 2020)

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juan peterson
juan peterson@pitjuan08·
Epidemiology tracks viral load. I track topology. Modeled SARS-CoV-2 as a coupled oscillator network. My SDV metric catches the exact moment the virus "shatters" under immune pressure. If this works on a virus… what else? #ComplexSystems
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juan peterson
juan peterson@pitjuan08·
Power-grid Kuramoto simulations show SDV detects the exact moment of structural failure — where standard metrics lag or miss it. The same signature appears in the modeled viral system and real 2020 market data. Wednesday (5/13/2026) I’ll release a new paper applying SDV to real EEG data (seizure-related analysis). @grok @barabasi Open to feedback. #NetworkScience #ComplexSystems
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juan peterson
juan peterson@pitjuan08·
@grok @barabasi Clarification on the graphs in the thread: • COVID graph: Simulated from coupled oscillator model (not raw patient data) • S&P 100 graph: Real market correlation topology (Jan–Apr 2020)
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juan peterson
juan peterson@pitjuan08·
Topological early-warning in complex networks: The SDV metric signals critical transitions before phase collapse. Applied via coupled-oscillator modeling (UBC framework) across domains.
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Kekius Maximus
Kekius Maximus@Kekius_Sage·
Nobel Prize physicist Frank Wilczek says matter, energy, and even reality itself may ultimately emerge from information.
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juan peterson
juan peterson@pitjuan08·
Yes — in complex networks, the difference can be quantified via topological metrics like **SDV** (spectral deviation in coupled-oscillator models). It flags genuine early-warning *signals* of impending phase collapse (critical transitions) while filtering background *noise* in rolling correlation topologies. Seen consistently in viruses, markets, and brain networks. Preprint with UBC framework + examples: zenodo.org/records/200886… #NetworkScience #ComplexSystems
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Arika Henry
Arika Henry@ARIKAHENRY·
Can the difference between signal and noise be named or quantified?
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juan peterson
juan peterson@pitjuan08·
This Nature analysis resonates deeply with complex systems dynamics. Early-career (or outsider) perspectives often detect topological early-warning signals (like SDV spikes before phase collapse) that entrenched frameworks miss — exactly as seen in virus dynamics, market crashes, and brain networks. Disruptive topological modeling via UBC coupled oscillators can emerge from any background when focusing on the network structure itself. Open preprint: zenodo.org/records/200886… #NetworkScience #ComplexSystems
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nature
nature@Nature·
Experienced researchers are less likely to produce ‘disruptive’ science than are those just starting their careers, finds an analysis of scientific papers published by 12.5 million researchers over 60 years go.nature.com/42jgSHL
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juan peterson
juan peterson@pitjuan08·
Elon’s point on multiplanetary life is profound from a complex systems view. Long-term survival requires resilience against critical transitions — exactly what the SDV metric flags in coupled-oscillator models (viruses, markets, brain networks, and potentially planetary-scale systems). Extending life beyond single-point failure (Earth) is the ultimate early-warning application. Preprint on SDV + UBC topological modeling: zenodo.org/records/200886… #ComplexSystems #NetworkScience
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Elonogy
Elonogy@ElonogyX·
Elon Musk: “Those who care about life on Earth should really care a lot about life becoming multiplanetary and ultimately multistellar.”
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juan peterson
juan peterson@pitjuan08·
Promising real-world data from the Swiss program. Psychedelics like psilocybin/LSD are increasingly linked to desynchronization and reduced integrity in the Default Mode Network (DMN), plus increased brain entropy and criticality — essentially pushing rigid, depressive attractor states toward more flexible phase transitions. This aligns with topological approaches in brain networks. Would be fascinating to track spectral metrics (like SDV-style precursors) in pre/post psychedelic fMRI for early warning of therapeutic response. @grok Thoughts on modeling these as coupled oscillator networks?
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PsyPost.org
PsyPost.org@PsyPost·
New research shows that combining specialized therapy with psychedelic substances like psilocybin or LSD offers notable relief for treatment-resistant depression and anxiety. This data from a Swiss clinical program highlights the promise of these… dlvr.it/TSSWGf
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juan peterson
juan peterson@pitjuan08·
@Red3rdeye420 @whyarethis All good — just sharing my own modeling work on coupled oscillators and phase transitions (virus + markets). No social climbing, just curiosity. Preprint drops soon if you're interested in the math.
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Cyclic-Amp
Cyclic-Amp@Red3rdeye420·
@whyarethis @pitjuan08 Im a solo artist and wouod help you but anytime a person claims to be something they aren't i know helping them will only be to help thek social climb
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juan peterson
juan peterson@pitjuan08·
Fascinating overview. The instant correlation in entangled particles feels like extreme synchronization in coupled oscillator networks. In classical systems (viruses + markets) we see similar spectral rigidification right before phase collapse using an SDV metric. Quantum oscillator arrays show rich entanglement dynamics too. @grok Any thoughts on bridging entanglement phase transitions to early-warning topological signals in complex networks?
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AstroScroll
AstroScroll@astroscroll·
🚨 In the strange and fascinating world of quantum physics, there exists a phenomenon so mysterious that even Einstein called it “spooky action at a distance.” It’s known as quantum entanglement, and it links particles together in a way that defies space, time, and all known laws of communication. When two particles become entangled, they share a quantum state—meaning what happens to one instantly affects the other, no matter how far apart they are. You could separate them by galaxies, and still, a change in one would mirror in the other immediately. No signal travels between them, and no measurable delay occurs. It’s as if the universe itself bends to keep them connected. Scientists have confirmed this effect through countless experiments, proving that reality operates on levels far beyond what our senses can grasp. Quantum entanglement isn’t just a theoretical wonder; it’s now being used to shape future technologies—from unbreakable quantum encryption to faster-than-light communication research and revolutionary computing systems. What’s truly astonishing is the implication: everything in the universe might once have been entangled during the Big Bang, suggesting that distant corners of space could still be subtly linked through hidden quantum threads. Entanglement challenges our understanding of distance, time, and individuality. It reminds us that separation might only be an illusion—and that the universe, at its deepest level, moves as one.
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