# Bulletin of the American Physical Society

# APS March Meeting 2022

## Volume 67, Number 3

## Monday–Friday, March 14–18, 2022; Chicago

### Session G00: Poster Session I (2pm- 5pm CST)

2:00 PM,
Tuesday, March 15, 2022

Room: McCormick Place Exhibit Hall F1

### Abstract: G00.00177 : Full View of the Generalized Newton's Laws and Monodromy Data*

#### Presenter:

Zhi an Luan

(University of British Columbia)

#### Author:

Zhi an Luan

(University of British Columbia)

#### Collaboration:

Zhi-An Luan: Speaker

1.

**Newton's Constant**= 2/3, in the GNL theory, there exist G = 1, √2, √3, 2, ... i.e., a profile on Mass and V, G

^{-1}= 2cos(φ)·sin(2φ).

2.

**Planck Constant**(reduced) h = 2π√3 , h

^{-1}= electron mass = 1/(2π√3) and its dynamic monodromy mass m

_{e}= 3√3 = (√3)

^{3}= 5.1961524227...x GeV... and electron velocity

v

_{e}= 4(1- 27/100)= 292 ... x km/s.

3.

**Boltzmann Constant**k

_{B }= 8√3, gcd(h, k

_{B}) = 2√3 = P

^{1}, which is

**Global Deformation.**

I give out an important lift : k

_{B}

^{N}= N×P

^{1}= N×2√3, i.e., k

_{B}

^{4}= 4×2√3 = 8 √3 = k

_{B}(Ordinary form). In this extended Boltzmann Schme k

_{B}

^{N }is just Abelian symmetric polytopes with N-dimensions, by which we can describe all deformations of Length-l (1-d), Area (2 -d) and Volume(3 -d). I found an important fact that l

_{n}/A

_{n}= G√3,

for example, l

_{3}/A

_{3}=3x6/(3√3x3) =2/√3= 2/3 ·√3; l

_{4}/A

_{4}= 8√3/(2√3)

^{2}= 8√3/12= 2/3 √3 = G·√3. I show that this L/A law is also true for all k

_{B}

^{N→∞},i.e., k

_{B}

^{∞}/h = 1 = Id. But this

*essential enveloping map for V 3-d is false, the equation a*^{3}+ b^{3 }= c^{3}only a zero integer solution, which is an exact, short and robust proof on Fermat's Last Theorem(FLT).4.

**Fine Structure α (or Hubble H**monic monodromy is α/H

_{0})_{0}= √3 -1 = 0.7320508076, or 1/(√3 -1) = 1.3660254038 ≈

**137**x...

5.

**Critical Density Constant**ρ

_{c}= √3 /2 = 0.8660254038..., its complex dual is β= 1/2 + √3i/ 2, its conjugation is β

^{^}= 1/2- √3 i/2, its involution or reflection is ω = -1/2 + √3 i/2 and so

NB: β

^{3}+ ω

^{3}= 0, only zero solution, means that Fermat's Last Theorem(FLT) is true. My monic Elliptic Curve is an exact solution of

**Quantum Vortex Field Equation(QVFE) U**

_{t}= ▽U·△U.6. In APS 2022 March Meeting, I will present a new important universal physical constant :

**Critical Escape Constant ρ**= 1.1180339887, which is just escaping velocity from Earth Surface v

_{esc}= √5 /2_{esc}= 1.118 ...km/s.

*No

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