Douglas Sweetser

Renaissance nerd. Do theoretical physics, recumbent bicycle design, swing dancing and french pastries.

[Douglas Sweetser @visualphysics]

An artist imitating art. https://t.co/kOiPaz87d1

[Douglas Sweetser @visualphysics]

The multi-centered Universe, trying to make sense of it all. https://t.co/0mV8NyiPB2. Long time, no video, but one does need to understand what the most basic numbers mean. https://t.co/ktOuTzRhy2

[Douglas Sweetser @visualphysics]

@gooeyfaze A space-time number = a quaternion = 3-vector-scalar != Lorentz 4-vector. L4-v can be added to another L4-v, multiplied by a scalar, and THAT IS IT. That is too limiting. Also, I have no indices in my work ever, covariant or contra. Squaring OK with space-time numbers, not L4-v

[Douglas Sweetser @visualphysics]

Some math with big implications: you can understand integer and half integer spin using conjugates of space-time numbers (aka quaternions) https://t.co/OMruRn3Hiv

[Douglas Sweetser @visualphysics]

In support... For a simple EM wave, E.B is invariant because it is zero. The norm squared of (B-E) minus the norm squared of (-B-E) is zero since the size of B stays the same and IS 4E.B. Do Euler-Lagrange on E.B, and out pops the no-monopoles and Faraday's law. Nice.

[Douglas Sweetser @visualphysics]

This is how I derive the Maxwell source equations using space-time number differential operators, potentials, and current densities. Kinda quick!

[Douglas Sweetser @visualphysics]

Derive the Maxwell eqs. with space-time numbers, not F^uv. (0, B-E)(0,-B-D)=(B²-E², 2 ExB), then apply the Euler-Lagrange equations. This was the first job I gave my derivative function Dq(). https://t.co/gzAXn348zM

[Douglas Sweetser @visualphysics]

Space-time numbers (aka quaternions) python library. If you want to play symbolically or numerically with space-time numbers in a Jupyter notebook, do a git clone (look at the notebook_template.ipynb first) https://t.co/dQXY0HaU4I

[Douglas Sweetser @visualphysics]

@acapellascience After my 3 shots, I got a variant. The surge is real. The problem is that you cannot test a great idea on a million people without data saying it is a great thing without flaws.

[Douglas Sweetser @visualphysics]

Doing Physics with Quaternions, the Book. Got around to putting it together, a little under 170 pages. Suggestions for edits welcome. https://t.co/kWoA53F6X7

[Douglas Sweetser @visualphysics]

The Here-Future is a Negative Number. Strange but true if you treat events as numbers in space-time. The fact that it goes again conventions is a bonus. (8') https://t.co/LYF18QFF91

[Douglas Sweetser @visualphysics]

Why Quaternions and Not ...? A 17' talk about why I stick with quaternions (or as I prefer to refer to them these days, space-time numbers). Reversibility is essential, which is simple for addition, but a challenge for multiplication. https://t.co/v9jPMkSaod

[Douglas Sweetser @visualphysics]

Understanding Schrödinger's cats, Parts 1 & 2, Space-like Space-time Numbers and The Wave Function. 1 4 minute video + another = 8' video, no extra clicking needed. https://t.co/5FQ2W0uADE

[Douglas Sweetser @visualphysics]

Understanding Schrödingers cats, Part 2 of 2, The Wave Function. It was fun to write out all the wave functions needed for this famous thought experiment. You will have to watch to find out if any of the three cats lived or died. https://t.co/pgQy5YOi6v

[Douglas Sweetser @visualphysics]

Understanding Schrödingers cats, Part 1 of 2, Space-like events and space-time numbers. A 4' video, style inspired by Minute Physics. https://t.co/cY7TKP0oLE

[Douglas Sweetser @visualphysics]

Gravity relativity, hyperbolas we can agree on. I was NOT able to use a Feynman video (cost ~$1.7k). A new idea on inertia: randomize quantum returning-momentum-energy - arrows cancel, energy remains. https://t.co/odjGrhLaNB

[Douglas Sweetser @visualphysics]

@3blue1brown @acapellascience @gurdeepmaurya @BallesterosLoic @virtualvirus5 @M0l4gB4l @Xeroq_Da_Crazy @veritasium @hankgreen @simonoxfphys Zeros mean something. For complex numbers, space is treated as one. For quaternions, space is 3D. For both complex numbers and quaternions, the zeros have the same more familiar name, “here”. I need to make the video arguing that (1, 0,0,0) is past-here, not future-here.

[Douglas Sweetser @visualphysics]

Point with Precision Quantum Mechanics, an 18' presentation https://t.co/ex7PEY8gHk

[Douglas Sweetser @visualphysics]

Conformal quaternion gravity presentation for the April APS meeting, 2021 (9 minutes) https://t.co/DvwFKfFDhO

[Douglas Sweetser @visualphysics]

Inertia and Gravity slides If you want to quickly click through the presentation for the Spiritual Physics Research Discussion Series https://t.co/zar6qRCnj7