*Abstract: Modern fundamental physics theories such as the Standard Model (SM) contain many assumptions(postulates). So where do all these assumptions come from? This is not real understanding. It is curve fitting. So why bother? So what is that single postulate required for complete understanding?* *Answer: real set*1, *the rigorous way of just saying postulate 1*.

* The fundamental insight that answers this question is that Cantor’s Real Number(eg., 1) requirement of that Cauchy sequence (z_{1},z_{2},..z_{N},..) of rational numbers is here provided by the Mandelbrot set iteration formula (z_{N+1}=z_{N}z_{N}+C) eq.1a ( and 1b) sequence (z_{1},z_{2},..z_{N},…). Note then that you merely postulate 1 to get eq.1a,1b. *

*So in that case the 1set in the postulate of 1→(1∪1≡1+1)whole numbers→ rational numbers→Cauchy sequence Z_{N} of rational numbers_{(same as eq.1a,1b)}real number 1). Eq.1a,1b imply for for z_{1}-z_{∞}for C→*0 that z=zz eq.1 so eq.1 implies (1,0) corresponding to the dichotomy ‘1set always contains nullset

*(1,0) so*

*→*

*∪**0*

*→**0=0+0*

*∪**in our whole number algebra. That makes this choice of 1a,1b the*only one possible

*since it implies both the Cauchy sequence and 1,0. Eq. 1a,1b also implies the math of observables (eq.2AIA). Also this ‘self contained’ circular derivation guarantees we don’t pull in postulates other than 1.*

*So we derive both Rel#mathematics(appendix C) and theoretical physics from one simple postulate 1 (i.e.,real set1) and so have found our single postulate.*

**Cantor’s Cauchy Sequence via Iteration** . *In that regard eq.1a is iteration z _{N+1}=z_{N}z_{N}+C and eq.1beq.1b says that for some C that δ*C

*=0 allowing eigenvalues (giving eq.2AIA). Note if we solve eq.1a for noise C in*

*δC**=0 (1b) we get*(C)=

*δ**δ*

*(z*

_{N+1}

*-z*

_{N}

*z*

_{N}

*)=0 implying z*

_{N+1}

*is finite since*

*∞-∞**cannot equal 0 so that eq.1a,1b defines the Mandelbrot set {C*B

_{M}}.*ut any initial rational finite z*Z

_{1}between 1 and -1 in iteration formula 1a gives rational finite odd_{2N+1}=1-z

_{2N+1},

*even*Z

_{2N}=1+z

_{2N }

*which both of which together make the Cauchy sequence Z*

_{N}with limit 1 that we required.*Next split up our derivation of observables (i.e., 2AI,2AII*C

*→*2AIA) into Big**C**and Small*applications of eq.1a and 1b.*

* Small C (section 1-3, for observables eq.2AIA)*

*Note also for limit1,0 finite z*z

_{N}, central limit k*δ**z=z*

*≡*C*→*0(i.e.,small C) in eq.1a then z_{1}=z_{∞}≡*z+C (eq.1). So we get that (1,0) result and proceed to derive the observables (2AIA) by plugging eq.1 into eq.1b and along the way we get Special Relativity(SR) and a*un

*broken degeneracy Clifford algebra (sect.2 for e and v) and use them to get 2AIA observables..*

* Large C (section 4, many small Cs,)*

*Note for large C we have to normalize the metric on each (¼)*local

^{M}Mandelbulb Reimann surface to get local small C eq.1 so as to obtain an associated*mapping eq.2AIA (observables). Get the 3 Lepton families this way. Next determine what we observe of the next larger and next smaller r*

_{H}fractal scales.**N+1 Fractal scale**Cosmological scale (appendix B). We then get new eigenvalues associated with (10^{40})^{N}Xcosmology. Large fractal self similar baseline C_{M}also turns SR into GR and breaks that 2D degeneracy into**4D**Clifford algebra of MandelbulbLeptons (2AI eq.9 e and v ambient metric). Inputs into Kerr (a/r)^{2}term and ambient metric.**Nth Fractal scale**Subatomic scale (appendixB)*10*^{40}Xsmaller self similarity (eq.2AI e and v)**Many body**3 (2A1) Part II pure state and PartIII mixed state Z_{o},+W,-W r=r_{H}rotations in last 3 Mandelbulbs (appendix A)

*So when you postulate real set1 this is the result* (so just postulate **1**).

^{ }*Summary** 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. *Try looking up at a starry night sky and contemplating that some time.* So by knowing essentially nothing (i.e.,ONE) you know everything! * *We finally do understand* (just postulate 1)

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