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SUPER COMPUTERS AND PI


October 9th 2022

In 2019, two employee's at Google used generally acquirable hardware including Google Cloud and then they broke down the Mathematical constant of Pi to a World Record of 31.4 trillion digits.

Nevertheless, in a uniquely fascinating twist… the general public has shown little to no interest in Yee and Iwao’s work, despite these results being a huge Mathematical achievement! Whereby, this video now stands at a measly 3,000 YouTube Views despite being on Google’s corporate YouTube page. Regardless, Yee is one of the scientist’s in charge of this experiment and he had set a previous World Record for calculating Pi back in 2016, perhaps dampening the reaction a little bit by already meeting these astronomical expectations in the past.

EPIPHANY(S)

Nevertheless, I inquired about this information after coming to a Mathematical epiphany myself this afternoon which was that, “Pi is more than likely NOT infinite!” In fact, this is one of those scientific epiphany’s that only a prodigious child would have. Yet, at 36 years old I hope that I wasn’t too late for the CIA to notice. However, similarly to the Ai thing (*I own an Ai start-up as well, artificialintelligenceproject.com) breakthrough’s in science often require sheer confidence in order to even THINK beyond that which is socially accepted or scholarly feasible. Whereby, scientist’s Yee and Iwao were more than likely empowered by those around them and they clearly were strong enough people to undertake such a project and become successful. Similarly, just noticing that Pi is more than likely NOT infinite requires quite a bit of confidence and the ability to reason beyond that which is generally accepted as, “fact.” Which in this case was the academic fairy tale that, “Pi is infinite,” which I now realize is probably not true.

And actually let’s get into that because the odds are, “infinitely higher,” that Pi is NOT infinite! Quite literally!

So this afternoon I was pondering infinity… and how infinity is infinitely longer than I can comprehend and I realized, “that if Pi is actually infinitely long then there’s another infinite possibility that it’s not, which is the paradox of, ‘infinity.'”

Nevertheless, I came to that epiphany this afternoon pondering my Ai work and watching YouTube when I thought, “modern computers are getting better and better but how far have we as a species taken Pi?” When I then came across this YouTube video describing how Iwao and Yee took Pi to the 31.4 trillionth digit and then Yee spends half an hour explaining how memory intensive that task is on a modern CPU.

NAMING NUMBERS

However, what was almost more fascinating for me to discover is that super computers reserved for academia were not available to Yee, a Google employee, who actually calculated Pi to it’s new world record length using home computers. Which then got me thinking, “a network of 25 home computer’s could probably calculate Pi to a higher digit in 2-3-10 years, especially since Yee only ran the program for 9 months.” What if we ran the calculation for 10 years? Could we find the end to Pi? And then obviously the big question, “where does Pi end?” And I have no idea where Pi ends but it could end at a lot of places. Whereby, a guguplex is something like 35 followed by 10 ^100 zeroes in just comma’s… and number placements alone, spanning 1,000’s of times larger than trillions. Furthermore, a guguplex –which is generally regarded as the highest number that humans have named thus far, is 1 followed by 10 ^100 zeroes; that is a 1 followed by a, “googol,” of zeroes.

Or in other words at that level of Mathematics we’re now actually DISCOVERING and NAMING integers/digits… for example 1 million, 1 billion, 1 trillion, 1 quadrillion, 1 cintillian etc etc…

So it’s actually about NAMING the integers at that point. Where we don’t even have a name for numbers over 1 followed by 10 ^100 zeroes, as of yet, but as space science becomes more accessible I suspect that this type of Math will become more ordinary and understandable for the general public in the years to come. And that's the only realm where these numbers even have any practical use is in terms of closing systems containing as many parts as galaxies or even the entire universe!

Regardless; with modern hardware even a home computer could probably calculate Pi to 1-5 billion digits over the course of 8-9 months, let alone a network of 100 home computer’s or a super computer. However, what also fascinated me about Yee’s study was that they weren’t entitled access to a super computer, meaning that someone could probably break Yee’s record with 20-50 home computers set-up in a network… which is fascinating. Furthermore, this means that Google has once again, “beaten me to the chase,” and that in our lifetime or in the near future it wouldn’t entirely surprise me if the END OF PI was discovered! And in reality, I believe that Pi will more than likely end… at some random number like 780 Quadrillion digits, for example.

98 quintillion digits, 5 sextillian digits, 4 googol digits long... it'll end somewhere.

RATIONALE SCIENCE

And this is what I consider to be, “RATIONALE SCIENCE,” or science that might stretch the human mind intellectually but when you start thinking bigger then it’s really no different than crossing the Atlantic Ocean for the first time in pre-history or building the first pyramid. Whereby, in Mathematics especially, “invention,” is often a product of RATIONAL SCIENCE… or rather, a discovery of this nature is a logical next step, even more-so than it is, “an invention,” in my opinion.

Where to be specific, in my opinion some science is almost NATURAL SCIENCE… but this is a very controversial topic in American, “business,” today. Nevertheless, natural science deserves more credit than other branches of science in my opinion. Where in a way, “Mathematics itself,” is NATURAL SCIENCE in that every new discovery is simply a logical next step from the previous discovery. Furthermore; I’ve written about this concept before, in 2017, when I published a blog article entitled, “Metaphorical Physics – Where Math Meets Theology,” and that article deals with this same concept of NATURAL or RATIONALE SCIENCE.

http://civiliansnews.com/civilians-news/metaphorical-math-physics-meets-theology/

And I don’t personally have the time or the resources to break down Pi myself, particularly as I’m currently, “ball’s deep,” on a robotics/Ai development but it’s a good idea and it’s an experiment that is definitely worth an attempt by an ambitious data scientist. Whereby, this video was rather fascinating to me because as a novice coder I can code a PHP script that would break down the factor’s of Pi similarly to the way that Yee coded his, “Y Cruncher program.” Still, notice that Yee was NOT given access to a super computer and that he found his results to the 31.4 trillionth integer on his own, with only 200k dollars in computer equipment. Whereby, I guarantee that Google has taken this experiment further but off of the record… and this is almost the new, “hiring process,” at big time tech firms, today.

SOFTWARE DESIGN

But, with that being… an aspiring prodigy might be wiser to set-up a home computer network and try to beat Google that way because although 31.4 trillion digits might seem like a lot… about 25 computers working for 2-3 years could probably eclipse that. Or I should say, that while Yee and Iwao have accomplished something extraordinary here, almost anyone who has a basic understanding of software design could do this.

22/7 = 3.14… x(y1) digit… x(y2) digit… x(y3) digit…

Where y=auto increment.

Then the program would need to crunch every digit in order to find the next digit, while saving that digit in a database and running the process all over again through every saved digit, to find the next digit. The issue would arise concerning RAM and the length of the end digit itself, whereby storing a number that large would require several terabytes of RAM.

But the PHP code of the Y CRUNCHER app could literally be coded something like this;

If x= unsolved, then 22/7 = x to the *Y, run process through all solved digits discovered already; y= auto increment.

And then 250 more lines of code assigning databases to data.

And then start, “the Y CRUNCHER APP,” turn on 50 computer’s in a network and let the hardware crunch Pi, as well as your electric bill. *Which by the way might be the inside joke about BitCoin right now.

But that program, “Y Cruncher,” isn’t that complicated in terms of software design and an app for breaking down Math could be as simple as a 1 page PHP script in terms of software design. The real issue/problem here is the hardware and the networking.

THE POWER OF SCIENCE

But ok, say that I stopped doing Ai and I undertook a project like discovering the root of Pi? Theoretically.

Well, once you’ve create the software to break down the integer and set-up the hardware/equipment then the software would need to run through EVERY DIGIT, every single time… to come to a new digit. Meaning, and I’ll end with this… that as the digit got longer the computation time would take longer to add to it. So, by the trillionth digit it could take 2-3 days, 2-3 weeks, 2-3 years to add 1 digit to your findings. But what’s interesting is that that TIME PERIOD in comparison to; time on Earth, time on Mars or time on Venus is but a fragment of time in the grand scheme of science! Whereby, in terms of MATHEMATICAL ENTROPY or the organization of our universe, literally the physics which govern our universe, the computer hacking of Pi would be perfectly analogous to the complexity of our world. This then ties into the concept of other dimensions and the power of cyber space. Whereby, a similarly coded Ai equipped with all of the data of the known world could theoretically hack away at history, thus un-covering the inner thoughts of our ancestors, to precision in a similar fashion. In fact, this is one of the highest functions of Ai, which is decoding, “exact history,” down to people’s intentions and preferences either 1 day or 5000 years ago… or 5000 years into the future.

In conclusion, Pi is kind of a magical number to say the least. Whereby it’s been theorized in the past that PI could hold a code for ALL OF THE DATA in the known universe and that’s another fascinating theory that I think has some CREDIBILITY. Where PI, the formula to define the end of a circle… could actually entail the fundamental root of energy transfer at the sub-atomic level and in that microscopic realm it could also hold all of the data in the known universe, coded in 9 digit strings! And this actually lends itself to a higher theory in Artificial Intelligence as well, where you could use Pi to somehow create a higher level of Artificial Intelligence program, as well.

And they don’t teach that in school...

But who am I?

IN CONCLUSION

In conclusion,, if you pay attention there are still a few CHALLENGES out there in the science community that go un-spoken. Like for me Ai, or building a robot similarly to C3P0, was something that I was inspired to do after see’ing Star Wars and Inside Out the Pixar film. Where those films almost felt like they, “challenged me to actually do it,” nd I’m halfway through building a very important Ai proto-type on ArtificialIntelligenceProject.com, today. But robotics and building a LIGHT SABER, breaking down Pi and even building your own satellite or electronic generator, are all CHALLENGES that kind of go UN-SPOKEN in the scientific community today. There's still work to do with Acids + Bases and the Earth's Iron Core concernig the magnetic systems surrounding planets, that all remains a mystery in science as well! And every great scientist… finds one of these little niches and then has the confidence to try to be great! Where for Einstein I think the question was, “how does spinning feel?” And what is, “exact position?” And is the universe tubular? Or where does space end? And space ends when the amount of energy in the universe can’t stretch it any further! Or does it?

But my point is TO GO BEYOND TEXT BOOKS! Where I’ve taken my Ai work pretty far beyond text books already on ArtificialIntelligenceProject.com and you can too!

*And by the way, my biggest pet peeve is remarking upon someone else’s intelligence... because compared to the aliens we’re all kind of, “dim.”

INTIMIDATION

But my biggest advice to anyone reading this and what that video with 3,000 views really showed me was, “DON’T GET INTIMIDATED!”

Like how Kobe Bryant lectures everyone about, “hard work, 24/7/365, waking up at 3am,” only to then shoot a measly 32% from behind the arc, which wouldn’t even start in today’s NBA. Where I can’t even begin to tell you how many times that I've seen someone in Physics and particularly Physicists, much less IT people, who has tried to, “talk over my head,” and literally just embarrassed themselves by trying, “to sound smart.”

Regardless; you’ll have breakthroughs if you work hard enoguh and your confidence will come from moments like that. Where the; money, college and even text books are often times nothing but remedial aspects of modern day, “science.”

-William Larsen IIIrd