Macarie

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Macarie

Macarie

@macarie58

Clifford algebra is the only math you need.

Katılım Aralık 2025
51 Takip Edilen23 Takipçiler
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Macarie
Macarie@macarie58·
Anyone who spent enough time doing mainstream physics or hardcore electrical engineering knows deep inside that, to quote a famous paper by Oliver Consa, something is rotten in the state of QED. If I were to take just electromagnetism, I personally believe that potentials are the real deal, that we need a more topological approach to it, and that it'a real shame that Clifford lost the vector algebra war. Does that make me a schizo? Maybe... But that can be easily cured with megadoses of vitamin B3, as shown by Abram Hoffer more than half a century ago.
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Macarie
Macarie@macarie58·
This is only used by people who are not familiar with Clifford (or geometric) algebra, where geometric objects like spheres and circles that are usually required in kinematics algorithms are simply represented by algebraic objects. Hence, no need for complex numbers, quaternions, spinors and all the fancy matrix multiplication just to rotate an object.
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Jyotirmai Singh
Jyotirmai Singh@SinghJyotirmai·
Learned today that robotics uses SU(2)! Is this actually true can any robotics person confirm? I thought SU(2) was useful only in quantum mechanics
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Macarie
Macarie@macarie58·
@brockpierson Apparently the Gateway Voyage from The Monroe Institute is designed to do just that. They claim to take you "far beyond the limits of physical matter reality".
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⭕ Brock Pierson
⭕ Brock Pierson@brockpierson·
Without doing drugs or alcohol, what's the best way to escape reality?
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Macarie
Macarie@macarie58·
@charrlie3045 Learn Clifford algebra, also called geometric algebra. It makes EE and physics in general much more simple. Not to mention DSP and computer graphics, if you're into that kind of stuff. Here's something to whet your appetite: ieeexplore.ieee.org/document/68761…
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Toluwanimicharles
Toluwanimicharles@charrlie3045·
As an electrical engineering student interested in pure mathematics, I’ve given an elementary real-analytic proof of the Gaussian integral relying only on algebraic inequalities, trigonometric substitution, and the Squeeze Theorem, no complex analysis or multivariable methods.
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Macarie
Macarie@macarie58·
@drxwilhelm I'm still amazed that this incredible piece of math is not more widely known. Once you've had a tase of Clifford algebra you can never go back to the old ways. It simplifies everything, from physics to signal processing and computer graphics. Such a shame Clifford died young...
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Dr. Paul Wilhelm | Advanced Rediscovery
✂️ The cross product only works in three dimensions. Heaviside built all of electromagnetism on it anyway. In 4D spacetime there is no unique perpendicular direction to pick, so the cross product has no natural extension. Heaviside's vector calculus cannot be written down in a Lorentz-covariant form without outside help. The algebra that does extend is geometric (Clifford) algebra. In 4D spacetime algebra, Maxwell's four equations collapse to one: ∇F = J. 𝐄 and 𝐁 become a single bivector. Charge and current become one four-vector. The structure was there the whole time. Heaviside replaced Maxwell's quaternion formulation with 3D vectors in 1884. Minkowski recast the equations in spacetime tensor form 24 years later. Neither reached for the geometric algebra that would have made the structure visible in one stroke. Hestenes did, in the 1960s. Most physicists still haven't met it. The 3D shortcut cost a generation.
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Macarie
Macarie@macarie58·
@adagamov You should run it through AI to enhance the colors a bit, remove scratches, etc. With a good prompt, it's going to look so much better. But thanks for the historical snapshot, anyway!
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Рустем Адагамов
Фотографии воскресной ярмарки в мордовском Краснослободске в 1952 году. Потрясающе выглядят женщины в лаптях и вообще весь антураж — телеги, горшки, одежда людей. Как будто там время замерло на сотни лет. А ведь это уже страна с ядерной бомбой. Фото уроженца Краснослободска Георгия Скворцова (1910-1965) 1/2
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Macarie
Macarie@macarie58·
Vector algebra, matrix algebra, complex numbers, quaternions, sedenions, etc... all easily replaced with the most elegant piece of math we have ever invented: Clifford algebra.
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Anthony Bonato
Anthony Bonato@Anthony_Bonato·
What is the most useless thing you've learned in mathematics?
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Эта страна
Эта страна@RusUslada·
Мне кажется, новая фишка твиттера с переводом это лучшее, что могло бы случиться❤ Такое единение и интерес народов к друг другу. Прямо тепло на душе. Всем привет из России🇷🇺💕
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Macarie
Macarie@macarie58·
@sxhealth101 You should have read this book from 1839 first...
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Sexual Health coach
Sexual Health coach@sxhealth101·
As an ex‑masturbator, here's what masturbation does to you: 1. You won't dislike p*ssy, you'll WORSHIP it. Put it on a pedestal. You'll stop seeing women and start seeing body parts.
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Macarie
Macarie@macarie58·
Dr. Mike, I've noticed that you've been catching a lot of flak lately in the comments, mostly from academics with a background in astronomy. This means you are now at stage 2 of Schopenhauer's mockery → persecution → canonization timeline of truth. Congratulations and keep up the good work!
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Mike McCulloch
Mike McCulloch@memcculloch·
#Quantisedinertia predicts that the cosmic horizon should be hard-wired into the rotation curve of every galaxy. It is! The behaviour changes at the radius where acceleration = c^2/Cosmicscale. Therefore the cause can only be Unruh radiation & #QI. Direct evidence.
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Macarie
Macarie@macarie58·
GR needs to add ridiculous quantities (19×) of *dark stuff* to predict the distribution and dynamics of baryonic matter, with zero observational evidence since 1933. Moreover, as Dr. Mike has already pointed out on numerous occasions, there is no way of directly measuring curved spacetime. However, under a Machian model of gravity, a Rindler horizon should be capable of gravitational shielding, giving us the much sought-after floating brick.
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David Vokrouhlický
David Vokrouhlický@DV0kk·
@memcculloch Both the tweet and the linked paper misunderstand GR. A horizon only prevents new information from catching up to you. It doesn't magically flatten the static spacetime curvature the object is already occupying. You can't 'turn off' Earth's gravity by hiding from its light.
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Mike McCulloch
Mike McCulloch@memcculloch·
Quantised inertia predicts that if you accelerate something then a Rindler horizon forms behind it. The higher the acceleration, the closer the horizon. Can we accelerate summat enough that it can't see the planet? No gravity. Just saying...: progress-in-physics.com/2019/PP-57-05.…
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Macarie
Macarie@macarie58·
Apparently Élie Cartan worked with him, trying to bring some order and consistency. However, the theory was too crude at the time, thus they failed to grasp some of the implications (e.g. that electromagnetism was baked in). Later, Erich Kähler extended Cartan's theory, making it more suitable for quantum mechanics. The Kähler-Dirac equation, a rediscovery of Landau's earlier work, can famously reproduce the fine structure of the hydrogen atom. However, nowadays this is nothing more than a footnote. And don't even get me started on the vector algebra wars between Heaviside & Gibbs vs. Grassmann & Clifford.
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Mike McCulloch
Mike McCulloch@memcculloch·
Einstein was lured away from nature by mathematicians in 1913. It's cost us 113 years of bad road.
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Macarie
Macarie@macarie58·
@John_F_kJr Remindes me of Antoine Prioré and Georges Lakhovsky...
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John F Kennedy Jr
John F Kennedy Jr@John_F_kJr·
•LEAKED: Exposed documents confirm what they never wanted you to see. For over 70 years, a technology capable of cellular regeneration was buried — labs were raided, researchers vanished, and the public was fed pills instead of cures. The suppressed science? Terahertz Frequency Healing. The technology they tried to erase? MedBed Technology. They killed to keep this silent. The silence is over. ❤️
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Mike McCulloch
Mike McCulloch@memcculloch·
I've now completed an absolute beauty of a paper deriving the capacitor thrust observed so simply. Where should I submit it? I've tried J. Propulsion & Power. They don't like theory papers. Shall I try EPL? They seem quite closed minded at the moment. Any other suggestions?
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Macarie
Macarie@macarie58·
@memcculloch @robert_zubrin So, is it correct to interpret this in a Le Sage way that a plate with an area of 1 m² produces the same shielding, (in terms of Unruh waves?) as 1 kg of mass?
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Mike McCulloch
Mike McCulloch@memcculloch·
I don't know what this means yet, but it's interesting that in #QI (when mass=area) the gravitational constant G becomes an acceleration. Yes, this unnerves me but it does. Anyway @robert_zubrin then pointed out that if you divide it by the QI minimum acceleration you get Pi.
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Macarie
Macarie@macarie58·
*M*E*A*T* , but you have to cook it! McClellan, W. S., & Du Bois, E. F. (1930). Clinical calorimetry: XLV. Prolonged meat diets with a study of kidney function and ketosis. Journal of Biological Chemistry, 87(3), 651-668. doi.org/10.1016/S0021-…
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Womansplainer
Womansplainer@iWomansplainer·
I wish there was one food I could eat every day that could alone meet all my nutritional needs perfectly. No meal prep, no cooking, no wandering through the grocery store each week. Just one item to keep stocked. Eat it 3x a day, every day, without needing to even think.
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Macarie
Macarie@macarie58·
I sincerely believe that £1 trillion is rather on the short end and that it also depends on the time-scale under consideration. QI is basically the next transistor. Ask anyone in the '50s what the financial impact of the transistor would be and any answer would not even be close to where we are today.
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Mike McCulloch
Mike McCulloch@memcculloch·
One of my potential government funders has said in a email that I could make the case that quantised inertia would have an impact on the UK economy on the order of £1 trillion. It gave me a shock, but I think that is accurate. Satellite thrust, transport options, cheap energy.
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Macarie
Macarie@macarie58·
Yes, Dr. Mike, please give us dc/dt! And along with it, please also bring back the 96% of the cosmos that we've been missing. Even Einstein considered VSL for a while, but somehow the idea ended up in dustbin of history. For those interested, Alexander Unzicker has a good book on the topic - Einstein's Lost Key. Another interesting, but equally abandoned, historical development was the Einstein-Cartan theory which predicts that at high densities a repulsive spin-torsion interaction prevents gravitational singularities, i.e. no black holes. Although incomplete at the time (1920s), it has been picked up and expanded upon in recent decades, by e.g. Jose Vargas and Myron Wyn Evans. As a side note, the no black hole part of it resonates with me, since our whole concept is based on a mistake on behalf of David Hilbert, in his Die Grundlagen der Physik, where he confused the Schwarzschild intermediate magnitude R with a radial coordinate r. French astrophysicist Jean-Pierre Petit has published a really good summary on the topic: jp-petit.org/papers/cosmo/2…
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Mike McCulloch
Mike McCulloch@memcculloch·
The James Webb Telescope is a godsend. I don't like to hypothesise where there's no data, but it can see early galaxies which will enable me to complete the QI cosmology, dc/dt?, while 99.9% of physicists are still lost on metrics. Then the QI cosmology will inform propulsion.
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Macarie
Macarie@macarie58·
@ItIsHoeMath The real question is: how many sigmas away from the mean are you if you're using an analog simulator in the digital era of satellite internet, smartphones and AI?
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hoe_math = PsychoMath
hoe_math = PsychoMath@ItIsHoeMath·
The vast majority of humans will never understand how to see this happening in real life. A few humans may understand the raw math of it. Very very few will ever see this math happening in front of them in the real world.
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Macarie
Macarie@macarie58·
Inspirational quote of the day
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