Bill Swavely

Transformational Healthcare Exec & Digital Strategist Entrepreneur clincaltrials, AI, digitalhealth, quantum physics, guitar
"ipse se nihil scire id unum sciat"

[Bill Swavely @bswavely]

My cat is broken...

[Mathematica @mathemetica]

Vector calculus in its purest form: the gradient, divergence, and curl.

These three operators are the language we use to describe how fields change in space. The gradient shows the direction and rate of steepest increase for a scalar like temperature or pressure. Divergence tells us whether a vector field is spreading out or squeezing in, exactly what you need for fluid flow or electric fields. Curl captures the local rotation or swirling motion inside the field, the reason magnetic fields form loops around currents and why vortices appear in rivers or air.

From weather modeling and aerodynamics to Maxwell’s equations and optimization algorithms, these are the tools that turn raw math into real-world predictions.

[Bill Swavely @bswavely]

@BrianRoemmele Outstanding, Brian! Wow.

[Mathematica @mathemetica]

Unlock the core of vector calculus with this visual guide.

The Del operator (∇) drives three key operations on fields:
- Gradient (∇Φ) points to the steepest increase of a scalar;
- Divergence (∇ · F) quantifies net outflow or inflow;
- Curl (∇ × F) measures local rotation.

> Gauss’s Divergence Theorem states
∯_S F · dA = ∭_V (∇ · F) dV, relating surface flux to volume divergence.
> Stokes’ Theorem, ∮_C F · dl = ∬_S (∇ × F) · dA, relates circulation around a curve to curl over the surface.

These are foundational in electromagnetism, fluid dynamics, and engineering.

[Bill Swavely @bswavely]

@SkinwalkerRyan RIP Duane. Cool Dude. Absolutely loved watching the show with Duane and Chad. Gonna be a different vibe now, but still interesting!

[Mike Maniscalco @mikemaniscalco]

There are a few moments in life when you can feel sound…
Welcome to the Stanley Cup Final in Raleigh.
@Canes vs Vegas

[FoxNashville @FOXNashville]

🚨 MISSING CHILD: Clarksville Police are searching for 3-year-old Tyler Hall, who was reported missing around 11:30 a.m. from the area of Aurelia Lynn Drive.

Tyler was last seen wearing a dinosaur T-shirt, light green shorts and gray socks. Anyone with information is urged to call 911 immediately.

MORE INFO: https://t.co/B7EmeIAF9F

[Jay Anderson @TheProjectUnity]

Ever heard of Perperikon in Bulgaria?

It's the largest megalithic complex in the Balkans.

Also one of the largest in Europe.

[Night Sky Today @NightSkyToday]

🚨: Whenever you feel sad, remember that there are tiny kinesin proteins doing their best to make you happy.

[Braylon Breeze @Braylon_Breeze]

Wednesday’s Game 4 of the Hurricanes–Canadiens Eastern Conference Final averaged 2.061 million viewers on TNT and truTV — the most-viewed CF Game 4 on TNT Sports ever.

Audience peaked at 2.5 million viewers.

[Carolina Hurricanes @Canes]

Jim Valvano taught us to enjoy life and to cherish every moment.

As we continue this journey, we’re reminded that the Stanley Cup Final is about more than hockey. It’s about people, purpose, sacrifice, and appreciating the moments that bring us together.

[Walt Ruff @WaltRuff]

Nikolaj Ehlers discussing this current group of #Canes...

"We play for each other. We care about each other. We know what we need to do to help this team win games, and we’ve done that from day one. It’s been fantastic.”

[Brian Roemmele @BrianRoemmele]

https://t.co/u4ABjufyMz

[Brian Roemmele @BrianRoemmele]

More excellent work Jay @TheProjectUnity:

[Matt Wallace @MattWallace888]

Bernie Sanders caught on camera getting off a luxury private jet 👀

Environmental cutbacks and income equality for you… extreme luxury for him!

[TheNewPhysics @CharlesMullins2]

🚨 SCIENTISTS JUST TOOK A MAJOR STEP TOWARD ATOM-BY-ATOM MANUFACTURING.

Using a scanning tunneling microscope, researchers have demonstrated programmable, positionally controlled placement of carbon fragments onto a hydrogen-passivated silicon surface building precise carbon chains and even complex “X” shapes with yields up to 97% for adjacent units.

This is not random chemistry or spray-and-pray methods.
It’s targeted, repeatable mechanosynthesis at the atomic scale.

Why this matters:
For decades, atomically precise manufacturing has been a holy grail of nanotechnology.

This work shows we can now pick up individual molecular building blocks, place them exactly where we want, and grow structured carbon architectures step by step.

The deeper implication is staggering:
We may be watching the early days of true molecular manufacturing the ability to build matter atom by atom, on demand.

This could eventually transform everything from materials science to medicine, energy storage, and even age-reversal technologies.

The dream of programmable matter is no longer pure science fiction.
What happens when we can routinely construct complex molecular structures with atomic precision?

Follow for more frontier physics and future technology.

[Seattle Police Officers Guild @SPOG1952]

Another example of CCTV cameras helping SPD detectives and SPOG members investigate violent crime in Seattle.

Mayor Katie, how many more examples do you need?

Don’t take away the vital tools officers rely on to identify, locate, and apprehend violent criminals in our city.

#SPOG #Seattle #SeattlePolice #PublicSafety #BackTheBlue #SupportPolice #LawEnforcement #CrimePrevention #CCTV #SaferSeattle #KatiesSeattle @MayorofSeattle

[Travis S Taylor @travisstaylor1]

THIS IS NOT ME!!!!!!!!!!!

[TheNewPhysics @CharlesMullins2]

🚨 FUSION COMPANIES ARE NOW TRYING TO SKIP THE TURBINE ENTIRELY.

Most power plants even nuclear ones still rely on 19th-century technology:
heat water → make steam → spin a giant turbine.

But companies like Helion and TAE are attempting something radically different.
They want to pull electricity directly from the fusion plasma itself using electromagnetic induction.
No boiling water.
No steam turbines.
Just magnetic fields converting the motion of the plasma straight into electrical current.

Why this matters:
Direct energy conversion could make fusion:
• Smaller and cheaper to build
• Significantly more efficient
• Faster to scale globally

Instead of massive power stations, future reactors could behave more like advanced electromagnetic engines.

The deeper implication is staggering:
Humanity may be approaching the moment where we stop “burning” anything for energy.

We would directly manipulate plasma and magnetic fields as programmable energy systems.
Not fire. Not steam.
Controlled stars turned straight into electricity.

The line between reactor, battery, and electromagnetic machine could start to disappear.

What happens when fusion power becomes this direct and scalable?

Follow for more frontier physics and future technology.

[Jay Anderson @TheProjectUnity]

👀👀👀👀👀