Abstract: Modern fundamental physics theories such as the Standard Model (SM) contain many assumptions. So where do all these assumptions come from? This is not real understanding. It is curve fitting. So why bother?
This theory in contrast has only one simple postulate:
So there is reason to be excited. The 1 in the postulate of 1 generates the 1∪1≡1+1 list-define algebra (eg.,2AI, eq.3.6) underpinning of the rational numbers:
define the real number 1 from a Cauchy sequence of rational numbers (Cantor) using iteration zN+1=zNzN+C (eq.1a), δC=0 (eq.1b). In that regard solve 1a for noise C in δC=0 (eq.1b) and get δ(zN+1-zNzN) =0 implying zN is finite since ∞-∞ cannot equal 0. So as N→∞, C→0 then zN+1 (defined to be z then) has to approach 1 so eq.1a zN+1=zNzN+C turns uniquely into z=zz+C (eq.1) (eg.,1=1X1+0) thereby
defining real#1 in the postulate of 1 as we must. Alternatively:
Solve the same eq.1a, 1b for C and z(eigenvalues,eq.3.6): So plug eq.1 into eq.1b getting Special Relativity(SR) and a unbroken degeneracy Clifford algebra (sect.2). Equation 1a explicitly defines the Mandelbrot set CM (since zN+1 finite) with a fractal (¼)MMandlebulbs and (1040)NXcosmology. CM turns SR into GR and breaks that 2D degeneracy into 4D Clifford algebra of Mandlebulbleptons (eq.9) and associated triplets and singlets (i.e., SM Bosons (sect.4).
Summary: This “self contained reasoning” (1→ (1U1)natural numbers→ rational numbers→real numbers→1) implies we need just one postulate (1). That 4D implies we got not more and not less than the physical universe.
Also given the fractalness, astronomers are observing from the inside of what particle physicists are studying from the outside, that ONE thing (eq.9) we postulated. So by knowing essentially nothing (i.e.,ONE) you know everything! We finally do understand.
Table of Contents
Part I 1U1 states (eq.2AI)
Part II 1U1U1 states
Part III Mixed State