Our Numerical Universe by Ajay Pokhrel

Dear Ajay Pokhrel,

i now read your essay. You raise many questions regarding maths. I agree that mathematics seems not only as representing meaning, i think it was invented in a meaningful process - not by humans, but, well by God.

Just look at the multitude of different patterns which are hidden in Pascal's triangle. I cannot count them all, but i remember that even the most elegant series that converges to Pi was found within it. And yes, the fibonacci numbers have also been discovered within it. For me, this triangle is the most astonishing mathematical object (as a layman of course), because it is so simple and contains so much complexity. Even the harmonic series is contained in it (http://www.cut-the-knot.org/arithmetic/algebra/BinomialReciprocalsInPascal.shtml)

Well, a proponent of a mathematical universe would say, yes, that's it - God is much to complicated as a realistic identification with the most fundamental level of reality, maths should be the correct candidate. But i think this conclusion is made to fast. Because for example the Nilakantha series (http://www.cut-the-knot.org/arithmetic/algebra/PiInPascal.shtml) resembles the areas of pythagorean triangles in its denominators, such that the natural numbers are given in an increasing order and is contained in Pascal's triangle. The latter can even be viewed as a Sierpinski triangle, when on cuts out the even numbers. Moreover, the diagonals of a complete Pascal's triangle reproduce the figurate numbers of simplices, starting with a diagonal of only the digit '1', then the diagonal of the natural numbers, the diagonal of the triangular numbers, tetrahedral numbers and pentatope numbers.

Therefore, such a simple pyramid of such simple numbers, ordered in such a simple way, cries out for an explanation. Maths itself does not explain it. Its just a plain fact, like the different digits of Pi and their normal distribution. Nonetheless, all these structures, even those who appear to us as random (for example the different digits of Pi, for there is no obvious reason that this number must necessarily start with the digit 3, there is no obvious threesome property of a circle and its diameter, so why couldn't it not start with the digit 4 or 5? Surely, if so, the whole maths should be altered to make it consistent with it) can be easily compressed by Pascal's triangle.

My conclusion is that maths as well as our ordinary human logics was invented by God, means by an intelligent creator who can in some respect be considered as the personalization of infinity and eternity. Assuming maths to be the fundamental level of existence instead does not make much sense to me, because it does not explain how such an amazingly meaningfull and consistent structure should float around in a sea of nothingness for all eternity and at some point in 'time' should generate a physical world. Even if it does the latter since eternal timespans, it would not make more sense to me. Assuming God has the advantage that only his existence has to be presupposed and some metaphysical properties, and not infinitely many connections and relations as for the case of maths. Alternatively one could assume that logic and maths are properties of God (although not the only ones, because some creative force and power is needed to breath fire into the equations).

Best wishes,

Stefan Weckbach

Great passion, Ajay

I find reading the history of mathematics very enlightening. It shows how much it is a human endeavor and needs human guidance, by those with passion and logic.

I wish you years of enlightenment ahead.

Don

Hi Ajay

I wish I had had half your courage at your age. I would have submitted a lot more essays for review. Since you are very interested in mathematics of numbers, you might want to check out the essays of Yanofsky and Dickau submitted on this forum. They talk about the entire universe of numbers and how that might be relevant for deriving a more complete theory of the universe. It could be what you are looking for as you step up your journey into mathematics. It certainly did expand my horizons.

Kind Regards, Willy

Well done Ajay!

I have mostly positive comments, but a few criticisms too. I like the commentary about numbers and how special they tend to be, even before we try to inject meaning or interpretation. And it's true; people don't tend to realize that 0 is a symbol for what might be a null quantity in any number of dimensions. The common form represents 0 x 1, but the unit Real is normally omitted, so one might write (for complex, quaternion, and octonion null values).

0 = 0 + 0i

0 = 0 + 0i + 0j + 0k

0 = 0 + 0i + 0j + 0k + 0E + 0I + 0J +0K

You state "Every theory in the universe is already proved, but we need someone special to find them." and this is equivalent to what I said in a previous essay, that the Science of the future may supersede our current knowledge, but it already exists and is real - to the extent that it works. Douglas Hofstadter, who wrote "Godel Escher, Bach" got his start because of a fascination with numbers and their properties, to try to find the underlying pattern guiding the universe.

The patterns are real, and we only need someone special to find them. But there is a long journey ahead for you, to see how some of these ideas play out on a larger stage. A lot of interesting Math is hidden behind a wall of symbols, and only once you master their interpretation can they tell you what the underlying Math is really about. That's all for now.

All the Best,

Jonathan

I forgot to add this comment..

When you state "if any number divides zero then the result is zero itself and if zero divides the number then result is indefinite," I know what you mean, and I think you do too, but it is stated exactly backwards - or could be interpreted that way. One way to say it unambiguously would be "zero divided by any number is zero, while any number divided by zero is indefinite." I acknowledge the confusion you mention, but it's best not to inject more.

All the Best,

Jonathan

Best to you Ajay..

Good luck at University, and beyond.

Regards,

Jonathan

Dear Sirs!

Physics of Descartes, which existed prior to the physics of Newton returned as the New Cartesian Physic and promises to be a theory of everything. To tell you this good news I use «spam».

New Cartesian Physic based on the identity of space and matter. It showed that the formula of mass-energy equivalence comes from the pressure of the Universe, the flow of force which on the corpuscle is equal to the product of Planck's constant to the speed of light.

New Cartesian Physic has great potential for understanding the world. To show it, I ventured to give "materialistic explanations of the paranormal and supernatural" is the title of my essay.

Visit my essay, you will find there the New Cartesian Physic and make a short entry: "I believe that space is a matter" I will answer you in return. Can put me 1.

Sincerely,

Dizhechko Boris

Dear Away,

You have made your essay well written with simple arguments which make sense,

and I agree that human brain is designed in such way that comprehends math, we have other aspects that doesn't fit with math at all, like life itself. Based on your argument is will give you high rating.

You are also welcome to read my essay which amoung other things is about math.

Good luck