According to mathematical induction (MI), if $latex a\in A$, $latex n\in A$, then $latex n+1 \in A$. Many theorems can be proved using MI. Can we use MI method to test physical theories? This will generalize MI to experimental mathematical induction (EMI). Suppose that theory T is tested at place A and it was found... Continue Reading →
Quantification of Thoughts
Thoughts are the noise generated in the form of ideas by human beings. Various diseases and aging are the denial of ideas or thoughts to deposit noise on or inside the body. In my opinion, the messiest part of the human body is the brain. On the other hand, the heart appears to be something... Continue Reading →
My Monologues
Abstract My monologues are ways of talking to myself. Here are a few of them. They are written without context. Here They are not written in chronological order. Humans created the universe, and they also destroyed it. God was the happy idea that made that happen. See all monologues here https://pajandoon.com/wp-content/uploads/2025/07/30cd4-monologues.pdf
A Simple Theory of Everything
Abstract Using the method of maximum entropy we have obtained the following results --- The exact solution of the Schrodinger equation is obtained for an arbitrary potential. The results are surprising. There are no particles. The entire universe is a compact dot that is probabilistic in one universe (dark matter and dark energy) while its... Continue Reading →
A Formula for Composite Numbers
Here we state a theorem that finds composite numbers. Proof will be given elsewhere. Theorem: Let $latex A = \{ a: 1\leq a\leq N\}$ and $latex B = \{b: 1\leq b\leq N\}$ Define $latex x =\frac{a+b+1+\sqrt((a-b)^2+2a+2b+5)}{2}$ for $latex a$ in $latex A$ and $latex b$ in $latex B$. If $latex x\in \mathbb{N}$, then $latex x+1$... Continue Reading →
A New Method of Factoring Large Integers
Abstract In this paper, we reduce a large integer $latex N$ to an integer $latex N^\prime$, which has a smaller number of decimal digits than $latex N$. Then we find the greatest common divisor (gcd) of $latex N$ and $latex N^\prime$ to return a nontrivial factor of $latex N$. Introduction The branch of mathematics that... Continue Reading →
Geometrized Symbols and the Related Codes
In this paper geometry is studied with a novel approach. Every geometrical object is defined as a symbol which satisfies some properties. These symbols are then coded into a class of numbers which are named here as many dots numbers (MDN). The algebraic structure of MDN is established. Assuming the universe as a symbol, the... Continue Reading →
A MATHEMATICAL PROOF OFAFTERLIFE
In mathematics, commutative diagrams are used in several fields such as algebraic topology,homological algebra, category theory, etc. In simple words, a commutative diagram is apictorial way of writing an equation. An equation has two sides, the left and right. Similarly, acommutative diagram has paths. Formally, a commutative diagram is a collection of objects andarrows. The... Continue Reading →
Time, Schrodinger Equation, General Relativity, and Quantum Gravity
In this paper, we propose a solution of the problem of time in quantum gravity. This is done by first defining what time actually is. We find that time is a collection of frozen moments or instants. Time flows at the cost of creating internal or hidden coordinates. The usual rules of calculus do not... Continue Reading →
Fractals in Pictures
Fractals are geometrical objects found in nature. They can also be drawn experimentally and mathematically. Clouds, lightning, and coastlines are natural fractals. Solitons are physical fractals. Mandelbrot set, Cantor set, Julia set, and Sierpinski triangle. we draw below the latter fractals in Python.
Mr. Monologue 