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q

e

q

=

basic conceptual

geni

/

/

In Intens Frequency

E=hf

KE= hf-W

=1/

v^

v

/

/billiard

(lump

)

(neuron Boolean

Consciousne

)

(partic graviton

Thomas

electr

)

L=nh' L L L= v

ï¿½

h' = h/2

=1

v=

/

discrete va

L

h'

/ L= )

d=h/mv

v= =

/ / v

r = n h/mv C= nd C

C

standing

v

v

Buccal cavit

v

v +

=

) )

=

= v

v

---------

1

funct P12 1

1 1

v

1

v

1

v v

=0 v

P12=P1+P2

1

-------

h

classical

I=h^2

1

v

1

I1 =|h1|^2 1

curve

=0

^ + ^

^

v I1

I12=|h1+h2|^2

=

(a+b ^ = ^ + ^ +

2ab

I12 = |h1+h2|^2 = |h1|^2 + |h2|^2 + 2|h1| |h2|cos delta = I1 + I2 + 2 sqr I1 I2 cos delta 1

1 1

-----------classical mechanic

"

v 1 1=

1|^2

=

2|^2

1

1

v

1 =

1+

2|^2

!!

1 " !!

v

Double split ex

?

v

state sta state

state

= p

uncertainty principle delta x * delta p> h'/2

/ /

v

v

W v

q

q

d^2 y/dx^2 = 1/v^2 * d^2 y/dt^2 1/v^ y v

y= y0 e^i(kx -wt)

0

y

v q

=

0 e^i/h'(Px-

=

=

= /

)

E=h'w So w= E/h' ----------------------= /

=

/

= /

= / =

) =

)

k=p/h' ) --------------------------------------= 0 ^

=

-

0 ^/

-

v

q

E= KE+PE = 1/2 mv^2 + V(x) = p^2/2m +V(x)

=

^ /

+

------------------------------------= = d/dt

( E=h'w) 0 e^i/h'(Px-Et) = -/ properties -/

)

/ / /

= =

- /

------------------------------------

= /

0 ^/

-

= / =-

/

p^2 = - ^

^ /

^

-------------------------------

= /

=

/

^ /

+

=

- ^ /

- ^ /

^ /

=

^ /

^ +

^ +

------------------

---------------------

----------------------

j

/

=

v

=

0 e^i/h' (Px-Et) classical

probability amplitude =

|^2

=a+bi complex num

-0

0 0

200%

00

0% 0

1

1 100

0

0 1

0 0

1

complex number

j = a+bi j *= a-bi imagina

^ =

*=(a+bi)(a-bi)

=a^2-abi +abi-b^2i^2 =a^2+b^2

0

1

a^2 + b^2 =1 normaliza

0 1

0

infinite

1 1+

1

v

Wavelik v

A + superposition principle =

+

B

=1 + 0 = 0.1 + 0.9 =..... + ....... = 0.5 + 0.5 = .....+....... = 0.9 + 0.1 =0+1 =1 1

)

w v v

B

v

=

+

=

B|^2

^ +

B|^ +

B|cos t +

+

state,wave function,probability v

vec v Hilbert

ih' d/dt

=

v

v

Classical

v v

/ /

=

=

|^2

)

particle

potent

atomic model

so

solar

v

q

spin

q

1 =1

orbital quantum

q v

L^

=

+1 v

^ q +1 =0 1

1

-1

0 01 01

C =0

s

=1

p

=

d

= L 3 dimens

z

m=-l,-l+1,...,0,...,l

1

m=-1,0,1 m=-2,-1,0,1,2 +1 =

m

orientation

=

1/ num

-

spin quantum

q

Componen

1/

-1/

z

1/

orb energy

v ^

112 248 3 9 18 4 16 32 magic number 2,8,18,32

1

elem

+ v q

Symmetry Symmetr Reflect

v symmetry

law o

v

v

charge

sy

La

v

v

diff

Quantum

U1

Electrowea

SU(

Quantu

U g

U

special u

Group the

modular re

v

1

relatively prime

1

1 (1,5)=1

၇ ၇

1

1 0 1 mod5

1

mod n

=1 =0 =1 1

0

relatively p (a,p)=1 ^ -1 = 1 á &#x2026;

v

^ = 1 =1

n

1 1 k

v

(k,n)=1

(1,5)=1 (2,5)=1 (3,5)=1 =1

v

-1

=

(n)= number of k { k=1,2,..,n-1 | (k,n)=1}

1,2,3,4,5,6,7 1 1,3,5,7 =

v ^

=1 v

^ =1 =1

=1 C =

=

v

1 1,2,3,4

C x mod 5 | 1 | 2 | 3 | 4 ______________________ 1|1|2|3|4 _______________________ 2 |2 | 4 | 1 | 3 ________________________ 3|3|1|4|2 ________________________ 4|4|3|2|1 1

1 1

Symmetry 2 (n) el

multiply mod n closure

closure

theory of q

q General solution

q

variable x

^

C

^ ^

Quintic

^ q

q

quinti q

q

infinitely

q x=-b +/- sqr b^2-4ac/ 2a +/-

+

-

cubic

j ၅

j

quintic ၅

set

၅ ၅

j

! !=

1=

shuffle Gene j j j j

cl

1

object != 1

1

1

1

1

1

1

1

1

1

231

(12) (13) 1

1 1

1

1

1

1

1

e , (12) , (13) , (23) , (123) , (132)

S={ e,(12),(13),(23),(123),(132)}

1

1

213

(23)

(1

1

123 1

1

1

(132)

=1

se

set

operati identity element e

1

1 v

operate =

v

[(12)(23)] (13)= (12) [(23)(13)]

defining property

á &#x2026;

á &#x2026;

polynomial

Symmetry 3 group theory operation operati

ge=eg=g v

^-1

gg^-1=e=g^-1g v (g1 g2)g3 =g1 (g2 g3) operati

operation

ge j shape

j

j

Symme

j

0

)

r1 r2 1 u1 u2 u3

j

)

!=

1=

se 1 object

D3={ r0,r1,r2 1

1

}

j symmetry(3)

operation *

1

u1r1=u3 ta 1 1

q Elect

U

Quantum chromodyna C

SU(1) U U

q

j U

gluon

U

U

special unitary group

v Special relativit

Poicare group

j q

v

Gauge theory

v

General

coo background v

Quantum field t

Quantum electrodynamics

Quantum chromodynamics gauge

U1

U

U group

gauge ?

geometry

shape

၅ one

၅ j

v ၅ ၅

၅/ ၅

mental image ၅

á &#x2026;

fancy n

^ + ^ =1

Cartesian

= F=- grad V F= - grad mgh F= - d(mgh)/dh F=-mg v q

one dimensional

=-

0

0

=v

gauge transformatio

cl

gauge

v

v

gr j Symmetry group

j

U1 classical electromagnetism q

v q

zero-sum

decis q

game

q

zero sum Equalibrum q

player

g

prisoner's dilemma

1

) á &#x2026; ?

v

evolution society

social

á &#x2021; civilization

Dynamic of Civilization

archaeology,Culture,

Age of Empero

v -

v

civil

? civilization

v

Babylonian

civil

mesoamer

Fall ofC v

v civil Malthus growth

mod

1 00 v population

let's take a little maths population

/

dp/dt varies with p v

p immigra

k= sq dp/dt = (s-u)p exponential p= pÂ° e^(s-u)t

A

constant of pr

resource

s= rA

=s = (rA - cp)

dp/dt = (rA - cp ) p - up

civilizatio =

-

/

civil v population p v =

v /

/

AÂ° = 2k ( p/A-

resource

colon

q

limiting factor

limit

r driving forc democra v v

cultural re educa

v

logic ,

= a²=ab a²+a²=a²+ab 2a²=a²+ab ²− ²−

= ²+

=1 ²−

²− 2=1 !!

Proof

reasoning

l logical

r

v v

conc

: spec

v

)

=

²−

arit p

i

v

v

induction natural 01

၅ 0

+1

)

0 ၅

၅ 0 "

0+1+2+.....+n=n(n+1)/2 k +1 0=0(0+1)/2=0

+1 1+2+......+k+k+1= k(k+1)/2 +k+1 =k²+k+2k+2/2 =k²+3k+2/2 =(k+1)(K+2)/2 +1

+1 ၅ 0

deduction/induction Deduction /induc

elem

A=B,C=B then A=C) ²= ²+ ²= ²+

)

²= ²

a+b=0 a + b-b=0-b a =-b ၅ ၅

၅ ၅

(

-

spherical geomet

deduction/inductio / de

/ pr Proof

compl Incompleteness th first order logic

C formalL

(

)

/ Nat rational Number,intege

) str struc a*a=2

complex number

Not X

C )C

/ = number (Q)

/

C v

U

rational

"

/

v

/

Peano arithmetic /

halting

/

/ / L

/ /

v O

/ / / /

/

/

/

v

v²=2GM/R v

R=2GM/v²

Rs= 2GM/c²

v

s

)

v v v k

non decreasing property

dA/dt >/= 0

Â˛

²

²

plank Length ²

²

Zeroth law

v First Law

=

+

μ

= / π

+Ω + surface grav Q

Ω / π

Second Law

dA/dt > or = 0 generalized second law

L

Total entropy= S+ A/4

Third Law

v

0

= / Ď&#x20AC; =1/ =

/ Ď&#x20AC;

1/

-

Entanglement tow

) quantum teleportation Quantum teleportat

entanglement

v

Wave functio

EPR

q

axiom

v

1

0

>= 1/

0> + 1> |>

0

1

1/ 1/

1

0

superposition > = a |0> + b|1> Superposit

Tensor pro 1

✪ ₁>

₂>

>=

₁> ✪

₂>

> = a₁ |0>+b₁|1> ✪ a₂|0>+b₂|1> > =a₁a₂|00>+a₁b₂|01>+b₁a₂|10>+b₁b₂|11>

> = 1/

01> + 10> 01>

1

1/

0 0

-1/2

₁ ₂

1

10>

q

1

0

၅ ၅

၅ /၅

counterfactual definitene

counterfactual C v

loca

v

reality local hidde v v inequali = Violation of q

v

L

ER=EPR

C

j hypothe

j

=

á &#x2026;

q

EinsteinRosen b

-

back to t -

v special

v

teleport quantum teleportatio

classical -

v

ER=EPR

# သိပ္ပံ သင်္ချာ နှင့် ရူပဗေဒ ‌‌ဆောင်းပါးများ အပိုင်း(၂)

သိပ္ပံ သင်္ချာ နှင့် ရူပဗေဒ ‌‌ဆောင်းပါးများ အပိုင်း(၂) သိပ္ပံ သင်္ချာ နှင့် ရူပဗေဒ page မှ ကို Thin Aung Htwe (Python) ‌ရေးသားထား‌သော ‌ဆောင်...

# သိပ္ပံ သင်္ချာ နှင့် ရူပဗေဒ ‌‌ဆောင်းပါးများ အပိုင်း(၂)

သိပ္ပံ သင်္ချာ နှင့် ရူပဗေဒ ‌‌ဆောင်းပါးများ အပိုင်း(၂) သိပ္ပံ သင်္ချာ နှင့် ရူပဗေဒ page မှ ကို Thin Aung Htwe (Python) ‌ရေးသားထား‌သော ‌ဆောင်...