Hello to all,

After the discovery of a mathematical curiosity in the 80s led to conversations with Benoit Mandelbrot about the significance of M and fractals to cosmology; I have been curious about just how deep this connection goes. It is a very deep connection indeed. I took the approach of Feynman to first try to disprove or invalidate what I thought to be true. When that failed after 10 years; I began to explore the possibility I was right once again, and started exploring other avenues. And not long after; there was a shake-up in Cosmology (~2k) and then Pietronero and others wrote that astrophysics suggests the universe is a fractal - so I began to wonder.

I got to present my work at the "Crisis in Cosmology" conference in Port Angeles, WA - where I met a bunch of lovable scientists who were willing to explore an alternative view of the Cosmos - including a few well-respected professionals. Since that time; I have continued to up my game and continue my studies, while attending lectures by and getting to meet some of the top researchers in theoretical Physics alive today - including 7 or 8 Nobel laureates. I don't know if it counts when you meet someone like Barry Barish before he won the award.

I authored the article on 'Fractal cosmology' at Wikipedia, and continued to research the topic thereafter. A paper was published at one point in Chaos, Solitons, and Fractals which is almost a snapshot of that entry when it included material favorable to El Naschie, who was the C,S,&F editor at the time. But I would have thought the book by Baryshev and Teerikopi was a fair indicator that the idea had merit. It has been 'disproved' a few times, but then they find a yet larger void and I wonder.

In the microcausal realm; their existence is uncontested. The Physics shows that fractals appear in a vast array of Quantum Gravity theories including Asymptotic Safety (Quantum Einstein Gravity), Causal Dynamical Triangulations (CDT), Loop Quantum Gravity, Horava Lifshitz gravity, and others. I've had the great privilege to attend lectures by and get to meet the founding researchers for most of those theories. But I've been one of the few talking abou the Mandelbrot Set.

I've given one or two prestigious lectures, but most of my presentations at top Physics conferences has been on posters. I am not the only researcher writing about the value of the Mandelbrot Set to Physics. You can check out Pastor and Romera in Madrid, and Christian Beck in the UK, for starters. But you might want to see my posters for GR22, which was in Valencia last July. So I offer these links from viXra.

Massive Gravity Illustrated in the Mandelbrot Set

https://www.vixra.org/abs/1906.0559Theories of Quantum and Analog Gravity Represented in the Mandelbrot Set

https://www.vixra.org/abs/1906.0558Or you can view the introduction on YouTube in the window below.

All the Best,

Jonathan

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