Black-Scholes earned a Nobel Prize, and has determined stock option price since. It shares roots with the heat equation, but did you know both have a geometric root?
medium.com/p/what-a-50-...
Black-Scholes earned a Nobel Prize, and has determined stock option price since. It shares roots with the heat equation, but did you know both have a geometric root?
medium.com/p/what-a-50-...
By modeling the auditory system as a ledger processing distinct identities (frequencies), we derive the hierarchy of harmonic intervals.
By modeling the auditory system as a ledger processing distinct identities (frequencies), we derive the hierarchy of harmonic intervals.
Anthropic’s Constitution quietly reflects ideas that show up across physics and complex systems.. phase transitions, boundary dynamics, etc.
Here we explore what happens when you treat AI alignment as a geometry problem..
medium.com/p/the-hidden...
Anthropic’s Constitution quietly reflects ideas that show up across physics and complex systems.. phase transitions, boundary dynamics, etc.
Here we explore what happens when you treat AI alignment as a geometry problem..
medium.com/p/the-hidden...
By modeling the auditory system as a ledger processing distinct identities (frequencies), we derive the hierarchy of harmonic intervals.
By modeling the auditory system as a ledger processing distinct identities (frequencies), we derive the hierarchy of harmonic intervals.
Why do some note combinations sound stable and others sound tense?
The answer is geometric, and it's been hiding inside the circle of fifths the whole time.
I wrote the accessible version here: medium.com/@jasonrconne...
Why do some note combinations sound stable and others sound tense?
The answer is geometric, and it's been hiding inside the circle of fifths the whole time.
I wrote the accessible version here: medium.com/@jasonrconne...
because you need them for unistochastic matrices when N > 2.
But there's a deeper question: why does nature instantiate indivisible processes at all?
If reality has finite distinguishability... a fundamental resolution limit... then indivisibility isn't arbitrary.
Barandes, Jacob A. (2026) A Deflationary Account of Quantum Theory and its Implications for the Complex Numbers. [Preprint]
https://philsci-archive.pitt.edu/28062/
because you need them for unistochastic matrices when N > 2.
But there's a deeper question: why does nature instantiate indivisible processes at all?
If reality has finite distinguishability... a fundamental resolution limit... then indivisibility isn't arbitrary.
Turbulence as resolution saturation (advection > diffusion → fractal eddies). Ties to cosmic web.
PDF: zenodo.org/records/1844...
#Math #Physics #Turbulence #MillenniumPrize
Turbulence as resolution saturation (advection > diffusion → fractal eddies). Ties to cosmic web.
PDF: zenodo.org/records/1844...
#Math #Physics #Turbulence #MillenniumPrize
Two axioms → 21 layers → matter, force, gravity, entropy, relativity, quantum mechanics, dark matter, dark energy, black holes, Big Bang.
Two axioms → 21 layers → matter, force, gravity, entropy, relativity, quantum mechanics, dark matter, dark energy, black holes, Big Bang.
The article isn't a rehash of the Verizon outage. No. It looks at the true root cause (hint..it isn't the bad update), then walks through the "how to" of building an early warning system.
When you optimize by collapsing your network to one solution while purging the people who knew the workarounds, you flatten to a 1D line. First shock shatters everything.
The signals are always there before the snap.
medium.com/@jasonrconne...
The article isn't a rehash of the Verizon outage. No. It looks at the true root cause (hint..it isn't the bad update), then walks through the "how to" of building an early warning system.
Full analysis here: medium.com/@jasonrconne...
Full analysis here: medium.com/@jasonrconne...
Spot the signal early: recovery from tiny perturbations slows well before loss explodes. Collapse can be predicted...and sometimes prevented.
The Short: China validated hardware sovereignty at scale. The US announced classified network access for an AI under investigation for kid porn, because it "won't be woke."
I was too optimistic.
medium.com/@jasonrconne...
The Short: China validated hardware sovereignty at scale. The US announced classified network access for an AI under investigation for kid porn, because it "won't be woke."
I was too optimistic.
medium.com/@jasonrconne...
When you optimize by collapsing your network to one solution while purging the people who knew the workarounds, you flatten to a 1D line. First shock shatters everything.
The signals are always there before the snap.
medium.com/@jasonrconne...
When you optimize by collapsing your network to one solution while purging the people who knew the workarounds, you flatten to a 1D line. First shock shatters everything.
The signals are always there before the snap.
medium.com/@jasonrconne...
The Short: China validated hardware sovereignty at scale. The US announced classified network access for an AI under investigation for kid porn, because it "won't be woke."
I was too optimistic.
medium.com/@jasonrconne...
The Short: China validated hardware sovereignty at scale. The US announced classified network access for an AI under investigation for kid porn, because it "won't be woke."
I was too optimistic.
medium.com/@jasonrconne...
Spot the signal early: recovery from tiny perturbations slows well before loss explodes. Collapse can be predicted...and sometimes prevented.
Spot the signal early: recovery from tiny perturbations slows well before loss explodes. Collapse can be predicted...and sometimes prevented.
Spot the signal early: recovery from tiny perturbations slows well before loss explodes. Collapse can be predicted...and sometimes prevented.
The system decides what to trust before it decides what to do. Current defenses intervene after that decision. That's why they always fail.
Open to discussions.. Atlanta-based, remote-friendly.
The system decides what to trust before it decides what to do. Current defenses intervene after that decision. That's why they always fail.
Open to discussions.. Atlanta-based, remote-friendly.
The reason? We are trying to solve a hardware problem with software patches. Current "guardrails" are Tier 3 interventions...the lowest leverage possible.
The reason? We are trying to solve a hardware problem with software patches. Current "guardrails" are Tier 3 interventions...the lowest leverage possible.
medium.com/@jasonrconne...
medium.com/@jasonrconne...
go.nature.com/4pMeAuU