East Athenaeum Neocities Portal

eastathenaeum.neocities.org

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YES! Thank you so much for the link! I love how they related the rotations within the multiplication of imaginary numbers to their represenation as both matrices and quaternions...To ramble crazily for a moment: These mathematical connections are *very* important for an understanding of how Steinmetz approached the relationship between energy and time when it comes to oscillating electric waves.
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letslearntogether's avatar letslearntogether 7 months ago

In turn, one can visualize these rotating waves as repeatedly travelling along a type of Riemann surface. When approaching the situation topologically, it is equivalent to how a projection of the 4-D Hopf Fibration yields a 3-D Clifford Torus. Applying this model to Geometrodynamics gives us a way to unify all of the fundamental forces at all scales, providing a coherent spacetime for describing ER=EPR.

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letslearntogether's avatar letslearntogether 7 months ago

Simultaneously, one merges together a bunch of seemingly disparate fields of mathematics, Langland's Program-style...All of this is also connected to something that I've been wanting to share with you ever since you mentioned your work on Relativity: Einstein's version of Energy-Mass Equivalence (i.e.: E=mc^2) is actually a reduction of Heaviside's quadratic (i.e.: E^2 = p^2c^2+m^2c^4).

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letslearntogether's avatar letslearntogether 7 months ago

This has two solutions. The Klein-Fock-Gordon form of this equation shows how it relates to Schrödinger's work in QM. Similar to how the negative solution to Dirac's equation led to the discovery of "antimatter", the mathematician Luigi Fantappiè suggested that the negative solution to the Klein-Fock-Gordon equation implies the existence of a "reverse time", amongst other phenomena.

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letslearntogether's avatar letslearntogether 7 months ago

Modern research into Quantum Backflow seems to hint at it. Precious few have taken T-symmetry and these negative solutions to their fullest logical extent (e.g.: William James Sidis, Hannes Alfvén, etc.). However, its biological effects are measurable (e.g.: experiments demonstrating "pre-stimuli responses" in the body done by HeartMath, Vannini, et al.; Saxton Burr's work on "L-fields"; etc.).

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letslearntogether's avatar letslearntogether 7 months ago

...Phew, still barely scratching the surface there. It is challenging condensing this into something readable, so it probably looks like word salad. I hope it at least triggers some interesting ideas for you.

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eastathenaeum's avatar eastathenaeum 7 months ago

You're most welcome. I'm grateful you found it valuable. That video in particular should have existed 12 years ago so that quaternions would have been intuitive to me before spending entirely too much time trying to understand it. It was a nice refresher and reinforcement that clicks alongside just being told that H is the union of two C's. If only many of the visuals available to us now existed then and before.

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eastathenaeum's avatar eastathenaeum 7 months ago

To be clear, I never worked on relativity and never meant to insinuate it. I've only learned physics as an engineering student, and the rest is just bouncing around trying to understand every (physical/formal) scientific concept as well as I could via Wikipedia, YouTube, and downloaded pdf text books. There was a 2 year period when reading dominated my entire free time. I know of quite a lot, but I'm no physicist.

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letslearntogether's avatar letslearntogether 7 months ago

Right! A good visualization can clarify a lot. I understand too; I myself am not much of a "professional" anything, but it sure is fun to explore together! Part of me has always thought that anyone was [blank] whenever they did [blank], so everyone can be a scientist whenever they choose to practice the scientific method, for example...Anyhoo, thanks again! Going to go study more.

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ninjacoder58's avatar ninjacoder58 7 months ago

That was deep, I'm just chillin in EONJ and your just going cosmic on us all 😂

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kips-corner's avatar kips-corner 7 months ago

Thanks for the add!

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eastathenaeum's avatar eastathenaeum 7 months ago

Thank you as well, I see you've linked back to me. I'm impressed with how new your site is and how much work you've put into it already!

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eastathenaeum's avatar eastathenaeum 7 months ago

Filter added! Going to be spending some time to make the filter more effective with hidden text "tags" on more specific subjects, starting with the simple tag 'materials.' If you happen to check it out, please let me know if there are any others that are lacking. Also I've set up the table and code to start adding direct links for phone apps.

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eastathenaeum's avatar eastathenaeum 7 months ago

Let's Learn Together: If you're seeing this, you should consider adding the YouTube channel Zundamon's Theorem to your list of math resources. They use anime characters to explain concepts and the demonstrations have never been clearer. https://youtu.be/HbUewIIpl6I

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eastathenaeum's avatar eastathenaeum 7 months ago

Xanadu Quantum Technologies and Q-NEXT added

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eastathenaeum's avatar eastathenaeum 7 months ago

I'm just now finding out after app hunting for the download links, when you save a site link shortcut, some pages will give you the option to do so in the form of an app that is not available in the app stores (Android).

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daliwali's avatar daliwali 7 months ago

instructions unclear: i have been myself this entire time.

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eastathenaeum's avatar eastathenaeum 7 months ago

I aim to point out the absurdity of such a statement at a job. Perhaps they need a better one like, "Just be chill."

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miela583's avatar miela583 7 months ago

I had a panel job interview where one of the interviewers became convinced I was using a fake personality and repeatedly demanded I start being myself. It was one of the most bizarre experiences of my professional life.

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eastathenaeum's avatar eastathenaeum 7 months ago

The interviewer was being their self by being aggressively paranoid delusional? 🤣

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letslearntogether's avatar letslearntogether 7 months ago

😂 "You will be assimilated. Resistance is futile."

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eastathenaeum's avatar eastathenaeum 7 months ago

Ways to stay informed added. Sabine Hossenfelder removed. She was our hero for a decade, but chasing ratings on YouTube has caused to her to turn from the expert theoretical debunker to creating false narratives against all research. That is not to say we wouldn't still reference her old content that doesn't get political. It still has value and we still love pre-corruption Sabine.

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letslearntogether's avatar letslearntogether 7 months ago

I haven't been keeping up with her videos. What in particular are you referring to?

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letslearntogether's avatar letslearntogether 7 months ago

Ah, I think I may have an idea now...I went back and watched her "Should we defund academia?" video. I agree with a few points (e.g.: sometimes ivory towers of questionable use can be propped up by grant money), but it seems like strange reasoning overall.

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letslearntogether's avatar letslearntogether 7 months ago

In my opinion, many of the problems within academia actually stem from "privatization" of research (e.g.: the "academic publishing" racket, NDAs and patents on important breakthroughs, etc.). Open and ethical science is always the way to go.

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letslearntogether's avatar letslearntogether 7 months ago

That said, I also think that "nationalizing" critical infrastructure (e.g.: schools, research laboratories, etc.) is just as dangerous. Businesses and governments are often two sides of the same coin (e.g.: https://m.youtube.com/watch?v=meQAKA8SD7w).

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letslearntogether's avatar letslearntogether 7 months ago

*sigh*...I could go on and on about what I think the fundamental social issues are and offer conjecture on how we might resolve them, but I will stop there. Thanks for the heads up. I also identify with the aim of helping others to keep themselves informed.

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