Seeking a PhD Home to Explore Visual and Algebraic Physics
Did you know this is what hydrogen atoms look like when you cut them?
I want to make quantum physics visualizable as never before.
Join me on that journey!
My Research Mission
I'm seeking a PhD to advance intuitive, algebra-based visualization of physics using Clifford Algebra.
Differential Geometry
I've been asking how to program computer games in curved spaces—not to play them, but to find the most efficient way to code curvature, forces, and coordinate transformations. I created Transformer Clifford Algebra, an upgrade of Cartan geometry, to make spacetime physics easier and faster for developers. What's the most efficient differential geometry library? I'm on the way to build it. Join me.
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Did you know that atoms in spacetime look like long tubes stretching through time?
That’s what you see when visualizing the Schrödinger equation in 2+1 dimensions.
I'm exploring how to visualize relativistic quantum mechanics—including spin and Lorentz transformations—using real Clifford algebra in 2+1D. Instead of matrix math, I use geometry, making the invisible visible.
There’s beauty hidden in our equations. Let’s draw it—together.
Visualizing Relativistic Quantum Mechanics
Sience Comunication with Visualizations
I'm seeking a PhD to make physics more intuitive and visual through Clifford Algebra.
Concepts like the Lorentz force, Maxwell's equations, and spacetime curvature become geometrically obvious when understood through the right algebra. Equations like
∇∧F=J
reveal the deep structure of electromagnetism — but only if we can see what the symbols mean.
I want to create interactive, visual tools that make this understanding accessible — showing how 3D space and 1D time give rise to six orthogonal planes, how boosts deform space, and how current, field, and geometry are unified.
My goal is to help students around the world explore light, atoms, and geometry not just with equations — but with direct, visual intuition.
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About ME
I’m Henrik, a 25-year-old programmer and physicist (M.Sc.) who has loved visualizing quantum physics and understanding the world at its smallest scale since an early age.
I studied theoretical physics in my free time while focusing on my career in computer vision and AI — developing artificial intelligence for a particle accelerator and founding a computer vision startup.
On that theoretical physics side journey, I stumbled upon the work of David Hestenes and Geometric Algebra. From there, I made — at least for myself — huge advances in understanding Lorentz transformations and the Maxwell equations intuitively, by seeing 4D physics and calculus through a different lens.
My passion for visualizing physics, helping others understand Clifford Algebra, and most importantly, developing new ways to describe nature became unstoppable.
My goal is to make physics more visual and intuitive — and there’s so much I would love to share and explore together with other scientists.
I am looking for a PHD advisor
I’m currently looking for a PhD advisor or co-advisor to join me on my journey of understanding physics through Clifford Algebra.
I know there may not be a working group doing exactly what I’m exploring — and that’s okay. I’m not looking for someone who already works in Clifford Algebra without matrices, but someone open to learning together, and curious about asking familiar questions in new ways.
For example: How can interactive animations and algebraic geometry help us make the structure of Maxwell’s equations more intuitive than ever before? How can we teach and explore physical laws not just through formulas, but through visual, programmable models?
In return, I bring strong programming skills, experience in both high- and low-level languages, and a deep passion for building visual tools and simulations that bring physics to life.
If you’re open to exploring new mathematical perspectives and building something meaningful together, I’d love to hear from you.
Algebra Made Easy
Many modern approaches to algebra focus heavily on formalism — and while that has its place, I believe there’s enormous value in returning to the practical, intuitive roots of Clifford Algebra as envisioned by Grassmann and Clifford themselves.
From a programmer’s perspective, algebra doesn’t need to be abstract or inaccessible. At its core, it’s just a vector space with a multiplication rule — something we can represent clearly with a Cayley table or even a simple lookup table in code.
My goal is to make these powerful mathematical structures approachable and useful again — not just for physicists, but also for programmers, educators, and developers working in simulations, games, and interactive models.
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Meet MAX. He created his own algebra by saying: "I'll use my name as a vector space, so M, A, and X form my basis. Now when I multiply any vector built from my name by my name, the result is my name again, just scaled by numbers." Max even designed a multiplication table to easily find the multiplication rules.
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An algebra is something you can invent to match your needs! Max created his own associative algebra—try making yours!
MAX Algebra
Some Algebras You May Know!
There are a lot of different names—like Quaternions, Lie Algebra, or Exterior Algebra—for what is essentially the same core idea: making vector multiplication smarter.
