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Juan R. González Álvarez

@juanrga.bsky.social

28 followers 19 following 140 posts

Fighting scientific misconceptions # Research on single potential multiscale dynamics # I write technical and popular books # juanrga.com

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Juan R. González Álvarez @juanrga.bsky.social · Nov 21

#Common_misconceptions_in_electrodynamics
Book launch!
Pdf and epub formats ready for download

Book launch!
Pdf and epub editions
214 pages | 128 misconceptions | 71 references
Available on juanrga.com
November 21, 2024

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Juan R. González Álvarez @juanrga.bsky.social · Sep 23

I have finished the research on the geometric foundations of statistics. Now, let us put it to rest so the ideas can mature. My next task will be to prepare a paper on the nonperturbative approach to the strong interaction we conducted a few weeks ago.

Juan R. González Álvarez @juanrga.bsky.social · Sep 17

Outliers. How to identify outliers geometrically?

Juan R. González Álvarez @juanrga.bsky.social · Sep 11

For confidence intervals without probabilistic assumptions, I am using two methods: one is empirical and the other is based on the Chebyshev inequality.

Juan R. González Álvarez @juanrga.bsky.social · Sep 11

The geometric approach naturally leads to s_n, but I found a trivial geometric argument to obtain s_{n-1}. Therefore, both versions of the standard deviation are now derived.

Juan R. González Álvarez @juanrga.bsky.social · Sep 3

For example, the mean m is easily obtained as the value that minimizes the Euclidean distance between the data vector (x₁, x₂, x₃... xₙ) and the diagonal vector (m, m, m... m).

Juan R. González Álvarez @juanrga.bsky.social · Sep 3

Finally, I am developing a purely geometric approach to statistics. We can obtain the formulas for mean, standard deviation, variance, standard error, and regression intuitively. I am currently working on obtaining confidence intervals without probabilistic assumptions.

Juan R. González Álvarez @juanrga.bsky.social · Sep 1

For now, I have selected the median and a measure of dispersion, a procedure for identifying outliers, and I am working on a method for hypothesis testing.

Juan R. González Álvarez @juanrga.bsky.social · Sep 1

I am currently doing research in statistics. Trying to reinvent it! I am looking for a simple, intuitive, and robust approach, free from assumptions about "normality", probability distributions, and hypothetical populations. Any ideas or references to modern approaches?

Juan R. González Álvarez @juanrga.bsky.social · Aug 28

I am not worried that I cannot obtain a constant, as the DESI (Dark Energy Spectroscopic Instrument) survey, when combined with other cosmological observations, shows evidence that dark energy weakens over time, indicating that Λ is not constant.

Juan R. González Álvarez @juanrga.bsky.social · Aug 28

Research update. I finally obtained a gravitational wave equation with a cosmological term. This term is not a constant; it is larger in the past and smaller in the future. However, its current value is consistent with that of the cosmological constant Λ.

Juan R. González Álvarez @juanrga.bsky.social · Aug 25

The energy of a classical particle is K+V, with K the kinetic energy and V the potential energy. The energy of the quantum particle is K+V+Q, with Q the quantum potential. The particle does not 'borrow' energy from the barrier, but has more energy than a classical particle.

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Juan R. González Álvarez @juanrga.bsky.social · Aug 21

Finding a nonperturbative gluon propagator that generalizes the refined Grivob-Zwanziger propagator was a trivial task, but solving the dark energy problem is becoming very difficult. Everything I have tried so far has not worked.

Juan R. González Álvarez @juanrga.bsky.social · Jul 31

The mainstream claim that gluons are physical massless particles is only valid in the k → ∞ approximation.

Juan R. González Álvarez @juanrga.bsky.social · Jul 31

Once demonstrated that gluons are massive because they interact with themselves, I think we would stop talking about gluons and start talking about glueballs.

Juan R. González Álvarez @juanrga.bsky.social · Jul 22

(β₁+β₂)=1 and the N=2 propagator reduces to D = [k² + M²] / [k⁴ + k²m² + γ⁴]. For N=3 we obtain a VRGZ propagator.

Juan R. González Álvarez @juanrga.bsky.social · Jul 22

Using very simple arguments, I have obtained the following spectral representation for the gluon propagator D = ∑ₙ βₙ / (k²+mₙ²). With two terms, we reproduce a Refined Gribov-Zwanzinger propagator D = [k²(β₁+β₂) + β₁m₂² + β₂m₁²] / [k⁴ + k²(m₁²+m₂²) + m₁²m₂²].

Juan R. González Álvarez @juanrga.bsky.social · Jun 30

Nonstandard idea: gluons are massive.

Massless gluons are deduced by considering only the quadratic part of the Yang-Mills action.

Juan R. González Álvarez @juanrga.bsky.social · Jun 23

I am testing some ideas about gravitation and nuclear interaction: specifically, dark energy and confinement. Wish me luck!

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Juan R. González Álvarez @juanrga.bsky.social · Jun 20

I have finished the first draft of my review of Waves in an Impossible Sea. Over 320 pages. I am now preparing figures. Contrary to myth, the particles we observe in experiments are not quanta of fields. Also general relativity does not describe gravity as a gravitational field.

Juan R. González Álvarez @juanrga.bsky.social · Jun 9

2/ He summarizes these secrets in a haiku; because, of course, the ultimate truth of reality must be poetic.

Such a grand conclusion deserves a worthy ending in my own book. It will be difficult to match such a level of excellence, but I will do my best. Hahahaha!

Juan R. González Álvarez @juanrga.bsky.social · Jun 9

1/ I am reviewing the final chapter of Waves in an Impossible Sea, and Strassler closes it with a post-apocalyptic fantasy in which part of his book survives for over 10,000 years in an ancient library, guiding new generations through the 'secrets' of the universe.

Juan R. González Álvarez @juanrga.bsky.social · Jun 3

No one should be surprised if my critical review of "Waves in an Impossible Sea" runs to over 300 pages.

Juan R. González Álvarez @juanrga.bsky.social · May 29

Quantum field theorists: our theory is the most complete and accurately tested in history.

Also quantum field theorists: the "vacuum" of the quantum field is filled with an infinite collection of particles.

Juan R. González Álvarez @juanrga.bsky.social · May 12

I have been wrong for 16 chapters. I thought I was reviewing a physics book, but I am actually reviewing a humor book. So I keep adding sarcasm to my review.

Juan R. González Álvarez @juanrga.bsky.social · May 10

I finally found a solution to the excessive repetition and bombast of Strassler's book. Add a touch of irony to my review. For example: "If this were true, perhaps electrons should start a career in ultrafast percussion".