I had not "vibe-coded" at all. I decided to learn I would build a game I would be passionate about. I jumped in head first with Claude Code and am absolutely blown away with the power and ease of use. I went from just an idea to a v1 prototype to a staging environment for 2.0 to production 2.0 with even more features than I initially planned in less than a month. The lesson is, if you're brand new, like I was, just jump in and use the tools for something you care about. You will quickly learn more than you thought possible and have fun at the same time.
No, I don't write code at all. I'm in engineering leadership and manage many engineers (devs, SREs, QAs, etc.) but am not a software engineer myself. The goal for me was to really understand the landscape and to be able to confidently speak about the tools from first-hand experience, not just what I read daily. I absolutely recommend non-coders check the coding tools out. If you were trying to become a coder it may not be the best approach to start that way, but if you're someone who has ideas that you want to build and iterate on without needing to involve a coder, and learn a ton about all the design aspects, hosting considerations, etc. it's gold (bit much cheaper).
While reading the Jelly-UI source I learned that you can use slot tags to effectively punch holes in the shadowdom on a web component. The elements passed in as component children can be assigned to a slot[1] within the component's shadowdom, and the external styles on them continue untouched.
I used Python webview to make some little desktop utilities.
Most modern frameworks feel like they have so much bloat and overhead. I wanted to make some simple things is a simple way, and it seemed like a good solution for that.
Quantum Mechanics (ongoing), Sturm-Lioville theory, Special Relativity (ongoing), Tensors (going towards General Relativity)
What finally clicked: Hermitian matrix, self-adjoint operators, quantum operators for energy and momentum, the Metric (for modeling spacetime curvature), etc.
Would be hard to explain without some equations. Here's an outline:
Nature follows differential equations.
Differential equations are generally complex to solve but have properties that are helpful. E.g., a second order differential equations would have two independent constants of integration in the solution. If two have already been found, a third independent one won't be needed and you already know that you have a complete solution.
For linear equations, if you find enough orthogonal basis functions that are each a solution, even if by hook or crook, you would have found all solutions.
Some functions and operators yield a function with the same form as the original function. E.g., derivative of exponentiation, second derivative of sine, etc.
The differential equation can happen to be such that a function of the above type then cancels out from the equation. This simplifies the equation.
If the above process yields enough orthonormal basis functions, then we know we have the entire space of solutions.
When the operator happens have some properties, the above happens.
Euler's equation links exponential to sine and cosine. That makes complex numbers useful. Then exponentiation covers sine and cosine too.
Magnitude of complex numbers is the number multiplied by its complex conjugate.
The math proofs extend from real numbers (actually needed by Physics) to complex numbers by using complex conjugates.
Hermitian matrices and self-adjoint operators are special cases that bring orthogonal basis functions, real-valued solutions (in spite of using complex numbers), etc.
1. https://github.com/jelly-org/ui/blob/main/src/components/res...
Most modern frameworks feel like they have so much bloat and overhead. I wanted to make some simple things is a simple way, and it seemed like a good solution for that.
What finally clicked: Hermitian matrix, self-adjoint operators, quantum operators for energy and momentum, the Metric (for modeling spacetime curvature), etc.
Nature follows differential equations.
Differential equations are generally complex to solve but have properties that are helpful. E.g., a second order differential equations would have two independent constants of integration in the solution. If two have already been found, a third independent one won't be needed and you already know that you have a complete solution.
For linear equations, if you find enough orthogonal basis functions that are each a solution, even if by hook or crook, you would have found all solutions.
Some functions and operators yield a function with the same form as the original function. E.g., derivative of exponentiation, second derivative of sine, etc.
The differential equation can happen to be such that a function of the above type then cancels out from the equation. This simplifies the equation.
If the above process yields enough orthonormal basis functions, then we know we have the entire space of solutions.
When the operator happens have some properties, the above happens.
Euler's equation links exponential to sine and cosine. That makes complex numbers useful. Then exponentiation covers sine and cosine too.
Magnitude of complex numbers is the number multiplied by its complex conjugate.
The math proofs extend from real numbers (actually needed by Physics) to complex numbers by using complex conjugates.
Hermitian matrices and self-adjoint operators are special cases that bring orthogonal basis functions, real-valued solutions (in spite of using complex numbers), etc.
References:
Spectral Theorem
Sturm Liouville Theory