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Check out my Reposts to discover the macro applications of the quantum world! It's worth your time...
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When John F. Kennedy was smacked in the forehead, on November 22, 1963, Jackie Kennedy instinctively jumped on top of him to prevent his further discomfort; the question is, why didn't he sit up and say thank you? This is why he is only a memory... #Reality
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Did you know that the flag of America has a Union Jack in its top left corner, and not an array of stars. #Reality
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There will be a Union Jack hanging from the Greek parliament building, and displayed prominently on the anaktoro.
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King Arthur Alexander Henry George of Britain retweeted
youtu.be/y1jlQ3dor4E?si…
youtu.be/y1jlQ3dor4E?si…
1/ We know what the oxygen is for.
Meyer’s 1986 patents + estate hardware show a closed-loop magnetic pump driving magnetized paramagnetic oxygen (O₂, O₂⁺⁺, O₂⁻) past pickup coils. Not the water cell. A stand-alone Electrical Particle Generator.
Greenyer’s fractal toroidal moments / topological monopoles put the same paramagnetic oxygen inside the high-field core while diamagnetics stay outside. The torsional vector rips oxygen clusters. Cool operation. Excess yield. No big heat dump.
That’s the open channel.
[Unverified] Meyer numbers | [Theoretical] geometry
2/ Geometric constraint (Cartan first):
Non-vanishing torsion T^a ≠ 0 + spin connections ω, ω₀ turn the resonant Coulomb / Ampère-Maxwell laws into open-system equations. When the magnetized O₂ loop hits resonance, the system couples to the residual torsion field. Energy can enter without classical closed-box accounting.
Same geometry that produces Greenyer’s Wheel-within-Wheel-within-Wheel / phase singularity at the core.
UCRC-CG v3.0 map:
academia.edu/170455393/Unif…
Topology ladder:
academia.edu/178519817/RTI_…
3/ Historical magnetized-gas architecture + LOX amplification already written:
academia.edu/170883553/LOX_…
LOX raises paramagnetic susceptibility → stronger coupling to the spin-connection / FTM structure. Explicit resonance-frequency and power-output relations under Eckardt Resonant Coulomb Law + Znidarsic transitional velocity.
B(3) residual control (inside matter only):
academia.edu/171315771/B3_R…
Hopf / residual connection public record:
academia.edu/179690650/Late…
4/ Why it stayed quiet:
Invention Secrecy Act still has thousands of orders. Kuhnian normal-science lock-in + disclosure paradox. The public record already contains hundreds of unconventional devices never closed under proper residual-controlled ledgers.
Governed integration path (computation first, staged release, verification gateways):
academia.edu/179567344/Gove…
Whittaker residual flux as open-system driver:
academia.edu/179144217/Resi…
Author shelf:
ucalgary.academia.edu/ChristopherWulf
youtu.be/y1jlQ3dor4E?si…
1/ We know what the oxygen is for.
Meyer’s 1986 patents + estate hardware show a closed-loop magnetic pump driving magnetized paramagnetic oxygen (O₂, O₂⁺⁺, O₂⁻) past pickup coils. Not the water cell. A stand-alone Electrical Particle Generator.
Greenyer’s fractal toroidal moments / topological monopoles put the same paramagnetic oxygen inside the high-field core while diamagnetics stay outside. The torsional vector rips oxygen clusters. Cool operation. Excess yield. No big heat dump.
That’s the open channel.
[Unverified] Meyer numbers | [Theoretical] geometry
2/ Geometric constraint (Cartan first):
Non-vanishing torsion T^a ≠ 0 + spin connections ω, ω₀ turn the resonant Coulomb / Ampère-Maxwell laws into open-system equations. When the magnetized O₂ loop hits resonance, the system couples to the residual torsion field. Energy can enter without classical closed-box accounting.
Same geometry that produces Greenyer’s Wheel-within-Wheel-within-Wheel / phase singularity at the core.
UCRC-CG v3.0 map:
academia.edu/170455393/Unif…
Topology ladder:
academia.edu/178519817/RTI_…
3/ Historical magnetized-gas architecture + LOX amplification already written:
academia.edu/170883553/LOX_…
LOX raises paramagnetic susceptibility → stronger coupling to the spin-connection / FTM structure. Explicit resonance-frequency and power-output relations under Eckardt Resonant Coulomb Law + Znidarsic transitional velocity.
B(3) residual control (inside matter only):
academia.edu/171315771/B3_R…
Hopf / residual connection public record:
academia.edu/179690650/Late…
4/ Why it stayed quiet:
Invention Secrecy Act still has thousands of orders. Kuhnian normal-science lock-in + disclosure paradox. The public record already contains hundreds of unconventional devices never closed under proper residual-controlled ledgers.
Governed integration path (computation first, staged release, verification gateways):
academia.edu/179567344/Gove…
Whittaker residual flux as open-system driver:
academia.edu/179144217/Resi…
Author shelf:
ucalgary.academia.edu/ChristopherWulf
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King Arthur Alexander Henry George of Britain retweeted
Google made another mistake when I asked it to show the steps in finding a geometric series from two points and two slopes: "from two points and two slopes can I define a curve which satisfies a geometric series" The general equation is Y=AB^X+C, and the CORRECT steps to find low:
(base) B = m2/m1^(1/(x2-x1))
(multiplier) A = m1/(logB(B)*B^x1)
(shift) C = y1-AB^x1
Google uses the exponential inverse, ln, instead of the log using the calculated base, B; using ln, assumes the base is e, and the answer will be incorrect. Here is google's solution:
(base) B = m2/m1^(1/(x2-x1))
(multiplier) A = m1/(logB(B)*B^x1)
(shift) C = y1-AB^x1
Google uses the exponential inverse, ln, instead of the log using the calculated base, B; using ln, assumes the base is e, and the answer will be incorrect. Here is google's solution:
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King Arthur Alexander Henry George of Britain retweeted
Every line in these sketches stands for a factor in a calculation.
Two electrons repel by trading a photon. An electron and a positron annihilate into two photons; Feynman drew the positron as an electron line running backward in time. Behind them is the path integral: a th, each weighted by e^(iS/ℏ). Paths near the classical one add in phase; the rest cancel.
⟨x_b|x_a⟩ = ∫ 𝒟x e^(iS/ℏ)
Two electrons repel by trading a photon. An electron and a positron annihilate into two photons; Feynman drew the positron as an electron line running backward in time. Behind them is the path integral: a th, each weighted by e^(iS/ℏ). Paths near the classical one add in phase; the rest cancel.
⟨x_b|x_a⟩ = ∫ 𝒟x e^(iS/ℏ)
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King Arthur Alexander Henry George of Britain retweeted
Learn Gen AI- mltut.com/best-generativ…
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King Arthur Alexander Henry George of Britain retweeted
📊 Lost in the world of statistical tests?
The right test depends on your research question, data type, distribution, and study design. From t-tests and ANOVA to Chi-square, correlation, and regression, choosing the correct method is the first step toward reliable conclusions.
The right test depends on your research question, data type, distribution, and study design. From t-tests and ANOVA to Chi-square, correlation, and regression, choosing the correct method is the first step toward reliable conclusions.
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King Arthur Alexander Henry George of Britain retweeted
The key to quantum computing! But is a circle really square? Find exp(I(pi))!
leonhard euler - swiss mathematician born in basel in 1707 - wrote the equation that now runs inside every nvidia GPU on the planet and sits behind $3.8T in global tech infrastructure. he went completely blind in 1771 and published 400 more papers. this october 2026 paper left behind - and the number that stopped me cold was 278.
that is how many years ago euler wrote e^(iθ) = cos θ + i sin θ. every 5G signal. every AI model generating $4.6T in value right now. every JPEG image ever sent. all of it runs on one line a blind man wrote in 1748 without knowing what it would build.
not metaphorically. literally. every chip. every signal. every transformer architecture processing your prompts. all of it traces back to euler's formula.
e^(iθ) = cos θ + i sin θ. it unifies three things nobody thought were connected: exponential growth, trigonometry, and imaginary numbers. euler proved they are the same mathematical object viewed from different angles. that single insight became the load-bearing infrastructure for every technology built in the last century.
wave interference is the first place it scales into money. z(x, y, t) = A sin(kr₁ - ωt) + A sin(kr₂ - ωt). constructive interference where signals amplify. destructive interference where they cancel. this is how 5G encodes data across 100+ frequency bands. this is how noise-canceling headphones work. this is how MRI machines reconstruct a 3D image of the human brain.
Fourier analysis is where euler crossed into trillion-dollar territory. every JPEG on the internet uses discrete Fourier transform. every MP3. every WiFi packet. 80% of all digital media compression runs on math euler derived while blind.
modern AI closed the loop. the attention mechanism in every transformer - in GPT-4, in claude, in every model being trained right now - processes positional encodings through complex exponentials. euler's formula is not a historical curiosity. it is running inference on your last prompt.
he said going blind gave him fewer distractions.
278 years later nobody has found a way around his equation. they just keep discovering new industries it already described.
save this.
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King Arthur Alexander Henry George of Britain retweeted
@benitomazzae wave energy levels with phase shift, it looks like it lags 90 and then it continually shifts to leads 90. Particle accelerators always lag 90 and shift to zero 0 - but they do it twice. This system starts with positive feedback and shifts to negative feedback under high frequencies which controls its amplitude (maximum energy). This is a balanced spontaneous system! 🥳
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King Arthur Alexander Henry George of Britain retweeted
Every great physical revolution is simply mathematics finding a deeper language.
It began with Newton and Leibniz capturing the instant through rates of change, expanding outward through variational principles, energy, and spacetime curvature.
At the summit, deterministic nto wavefunctions, binding all reality to operator equations.
Physics is poetry written in the ink of calculus.
It began with Newton and Leibniz capturing the instant through rates of change, expanding outward through variational principles, energy, and spacetime curvature.
At the summit, deterministic nto wavefunctions, binding all reality to operator equations.
Physics is poetry written in the ink of calculus.
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King Arthur Alexander Henry George of Britain retweeted
Learn Advanced ML- mltut.com/best-advanced-…
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King Arthur Alexander Henry George of Britain retweeted
A single number is already a tensor.
Add one index and it becomes a vector. Add a second and you have a matrix. Add a third and the array becomes a cube of numbers. Each step simply increases the number of indices needed to pick out one entry.
Rank is that count: 0 for a 2 for a matrix, 3 or more for a full tensor. The same rules of addition and multiplication apply at every level.
Tensors are not a new kind of object. They are the general case that includes everything else.
Add one index and it becomes a vector. Add a second and you have a matrix. Add a third and the array becomes a cube of numbers. Each step simply increases the number of indices needed to pick out one entry.
Rank is that count: 0 for a 2 for a matrix, 3 or more for a full tensor. The same rules of addition and multiplication apply at every level.
Tensors are not a new kind of object. They are the general case that includes everything else.
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King Arthur Alexander Henry George of Britain retweeted
Every interior point of a steadily heated plate is the average of its neighbours.
That is what ∇²φ = ∂²φ/∂x² + ∂²φ/∂y² = 0 says.
One hot edge leaves the centre at 0.25. Two opposite hot edges give exactly 0.50. A wavy sin(πx) top edge gives about 0.20.
Since every point gs, there are no interior hot spots: extremes live on the boundary.
The same equation governs electrostatic potential. Calm is what averaging looks like.
That is what ∇²φ = ∂²φ/∂x² + ∂²φ/∂y² = 0 says.
One hot edge leaves the centre at 0.25. Two opposite hot edges give exactly 0.50. A wavy sin(πx) top edge gives about 0.20.
Since every point gs, there are no interior hot spots: extremes live on the boundary.
The same equation governs electrostatic potential. Calm is what averaging looks like.
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King Arthur Alexander Henry George of Britain retweeted
🚨 Cambridge just dropped 10 FREE AI & ML textbooks (quietly).
University-level. Zero cost. Absolute gold for builders & learners.
Here’s the list with direct links 🧵👇
1️⃣ Understanding Machine Learning
Theory meets algorithms
lnkd.in/dBME-P8q
2️⃣ Mathematics for ML
Linear aintuitive
lnkd.in/diK8E9N4
3️⃣ Mathematical Analysis of ML
The theory behind the code
lnkd.in/dUBcRTUT
4️⃣ Deep Learning Principles
Neural networks explained clearly
lnkd.in/dkrCCqBM
5️⃣ ML with Networks
Neurons → backpropagation
lnkd.in/dxujdJTM
6️⃣ Deep Learning on Graphs
Graph Neural Networks & modern architectures
lnkd.in/d3-_cZVy
7️⃣ Algorithmic ML
Complexity & optimization theory
lnkd.in/drs_5znT
8️⃣ Probability Theory
Statistical foundations with examples
lnkd.in/dbDN7kyi
9️⃣ Elementary Probability
Beginner-friendly + real-world use
lnkd.in/dTMg54Ez
🔟 Advanced Data Analysis
Statistical learning for production systems
lnkd.in/dvSmYrtc
💡 Free textbooks. Cambridge quality.
Perfect for students, engineers & AI builders.
Save 🔖 | Repost ♻️ | Follow for more AI resources 🤝
#AI #MachineLearning #DeepLearning #FreeResources #DataScience #StudyAI
University-level. Zero cost. Absolute gold for builders & learners.
Here’s the list with direct links 🧵👇
1️⃣ Understanding Machine Learning
Theory meets algorithms
lnkd.in/dBME-P8q
2️⃣ Mathematics for ML
Linear aintuitive
lnkd.in/diK8E9N4
3️⃣ Mathematical Analysis of ML
The theory behind the code
lnkd.in/dUBcRTUT
4️⃣ Deep Learning Principles
Neural networks explained clearly
lnkd.in/dkrCCqBM
5️⃣ ML with Networks
Neurons → backpropagation
lnkd.in/dxujdJTM
6️⃣ Deep Learning on Graphs
Graph Neural Networks & modern architectures
lnkd.in/d3-_cZVy
7️⃣ Algorithmic ML
Complexity & optimization theory
lnkd.in/drs_5znT
8️⃣ Probability Theory
Statistical foundations with examples
lnkd.in/dbDN7kyi
9️⃣ Elementary Probability
Beginner-friendly + real-world use
lnkd.in/dTMg54Ez
🔟 Advanced Data Analysis
Statistical learning for production systems
lnkd.in/dvSmYrtc
💡 Free textbooks. Cambridge quality.
Perfect for students, engineers & AI builders.
Save 🔖 | Repost ♻️ | Follow for more AI resources 🤝
#AI #MachineLearning #DeepLearning #FreeResources #DataScience #StudyAI
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King Arthur Alexander Henry George of Britain retweeted
These symbols are the exact words of mathematical certainty.
∀ claims a property for every element that exists. ∃ asserts that at least one such element is there, while ∃! requires it be the only one. The bar | simply says “such that,” turning conditions into precise filters.
de a collection. ∩ keeps only what belongs to both, ∪ gathers everything from either, and ⊆ nests one set completely inside another without remainder.
Once these marks are fluent, vague ideas become statements that can be proved or broken.
∀ claims a property for every element that exists. ∃ asserts that at least one such element is there, while ∃! requires it be the only one. The bar | simply says “such that,” turning conditions into precise filters.
de a collection. ∩ keeps only what belongs to both, ∪ gathers everything from either, and ⊆ nests one set completely inside another without remainder.
Once these marks are fluent, vague ideas become statements that can be proved or broken.
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King Arthur Alexander Henry George of Britain retweeted
Why does the Sun’s power remain locked behind an exponential wall that only extreme heat and density can breach?
Fusion requires the Lawson product nτ_E to exceed a temperature-dependent threshold so reaction energy outruns losses, while the Gamow factor e^(−kZᵢZₑ/√T) robability through the Coulomb barrier.
Lasers drive inertial confinement by compressing deuterium-tritium capsules until these conditions ignite the D–T reaction releasing 17.6 MeV. The same inequalities that power stars now set the design limits for laboratory ignition.
Nature writes its energy ledger in inequalities we are still learning to balance.
Which physical threshold has most shaped the engineering problems you have worked on?
Fusion requires the Lawson product nτ_E to exceed a temperature-dependent threshold so reaction energy outruns losses, while the Gamow factor e^(−kZᵢZₑ/√T) robability through the Coulomb barrier.
Lasers drive inertial confinement by compressing deuterium-tritium capsules until these conditions ignite the D–T reaction releasing 17.6 MeV. The same inequalities that power stars now set the design limits for laboratory ignition.
Nature writes its energy ledger in inequalities we are still learning to balance.
Which physical threshold has most shaped the engineering problems you have worked on?
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