a.a. nassikas- the hypothesis of the unified field and the principle of its dual interpretation

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Page 1: A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

8/3/2019 A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

http://slidepdf.com/reader/full/aa-nassikas-the-hypothesis-of-the-unified-field-and-the-principle-of-its 1/13

!

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)' #( *' # ( '

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Page 2: A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

8/3/2019 A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

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#56(!3

'#((###((56

!3(+("''(=

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''=

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+(('''(

#(#'###(

'# ( # '' '# # ( (

# '' +( ' (

'(#

'''

'#'('#(

# ' '#

Page 3: A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

8/3/2019 A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

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#''##(

('

' '#('' ≠

(# → (# 42 7 χ=χ→χ

7

** → #' # ( #

# (''7

!3 '

#9#-.-.(''C

(#(/

=

DD

DC

CD

7D

7

7D ******

/ δ=δ==

7

D #'##

# Dδ EC#F'#

+(7

* ' '#

'#=

** = (=

/

D

D D

D D

D7D

7

7

D/ ****C*C*** =δ=δ=δ==

(#'# Ω (#'# Ω

' ' '# 9

##(#'#D Ω Ω 2

' 4''(##''G Ω Ω !3

>*'+(#(

#9 #( '#H

(-.=

42

G

G

===ττ

=γ =

4/2 G7 GG

==

I## (#

7 '#

##'# '#

'# ' # 9 #

+2/4(=

42 7G7

∫ =∫ =∫ =Ω

Ω ' ( '# (

##'

, # # ( # ( '# #

#''#

Page 4: A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

8/3/2019 A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

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.,*$!"

"$%((&02%&"2&'*&,0($!"$%0!.#%,!!0*"$&'$&4!1&.,*&"(,&$4&

!10&1&0&",&2&4&"$%&*&,0($!"$%0!.#%$%&$0"1!04$!"!1*&1!04$'2%,%(('

!"$%& &.,*&" (,&$4& !10&1&0&",& 2%,% % "!$ /&&"*&1!04&*/'$%& ,$!" !1 $%&

1&* "' 4#"$.*& !1 $%& 1&* &# 0&$)& $4& !0 0&$)& &"#$% " *0&,$!"n+

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(!"$ !1 $%& 1&* 2%,% *&1"&* $%0!.#% $%& $0"1!04$!" !1 *&1!04$' ( ''''''56

J( ( # ('

#

'((+((#

(''''

#((#*[email protected].=

>δδ 24

'#'(

''#(''+24

7(2424=

7K >δδ ∫ Ω

24324

(+('''

('2B4 ,,!0*"#$!$%&+$0*&,0/&*/'

,!"$".!.1.",$!",,!0*"#$!$%&(0&&"$%'(!$%&2%,%&*$!"&-.$'678+$0

*,!"$".!. ' !3 #

' '## # +242/4(+(2424

9

'' '# #( *'

+((#"" #( ( ( ' +((# " "

#(('' #(# '

#(#'=

3 3 Ψ=Ψ∧

2:4

''= 3 = 2@4

+24((''8=

4 2 7 ∫ Ω

= 2A4

"*

4 2

G

G7 == ∫

Ω2B4

=

= 24

(+2@4

3 == 24

Page 5: A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

8/3/2019 A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

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((+2:4=

3

∧∧

= 2/4

3

∂==

∧∧

24

T '#(*'##'

''# G3 (#

F3=

3

G3 == 24

(G3'#('=

∧∧= KG3

K

∂∂−=

24

< / # = + 24 *' #( # F3 0 +

' ' #

'# / # = ' (

##'#

7(+24=

G3 ψ =ψ ∧∧

G3 G3 ψ =ψ =ψ

∧2:4

<

#F3=

/

//

/

//

>

3 −=−= 2@4

#'+2@4#=

//

/

///

K

*K43 2

∂∂

∂∂−=

∧2A4

1 ' L ( ' #

'8'('''+2A4*'2

42

'''# / # =

('"#('#

#( = ∫ =

4 2 G

G (# '# < '

4 2> =∫ (=

∫ 4 2> ∫ =

4 2 G

4 2>G 4 2 = 2B4

'''#('##(

'#(J('

(#(=

ψ =τ 4 2 2/4

4 2 τ #'*# +((+2B4#'''

ψ ψ = ∗4 2> 2/4

Page 6: A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

8/3/2019 A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

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(+2B4''=/

4 2 3 G4 2>G3 4 2>G 4 2 τ=ψ ψ === ∗

ψ =τ /K 43 G24 2 2//4

356=

ψ ψ ≠∗

4 2> 2/4#=

/

4 2 4 2 τ≠ 2/4

0#=

M(J#= 3 ψ +ψ =ψ 3 ψ ψ ##'J

#*''(= ψ ψ =ψ +ψ =ψ ∗/K/

/3

/ 42

2/4

#*''(=

ψ ψ ≠θψ ψ +ψ +ψ =ψ = ∗/K3 //3 / 4/24 2> 2/:4

/

4 2 4 2 τ=

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'#('*'#('

'(/

4 2> ψ = 8+#'

#'*'L(#'*'

θ(24+(

:;

1(+2:4''=

G3

== 2/@4

#( G3 G +(#('(# G3 '

((+2/@4=

G E= G (' →

G = G

G G#∞→→

= 2/A4

G ' ##

' G 0 ' '#

"##"#((#8

''#(

( ( G '

<#+2/A4=

G

G = 2/B4

Page 7: A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

8/3/2019 A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

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+2/B4*'+(9''((

/ '(((# GG /

< /4(2 = +( ' →

''(# λ⋅= G ''(#

' 8 56 # ν=

∞→λ→ ν⇒∞→→ G → νλ '

#' ' 9 '#

2 3

=∞= = 4(=

G

G G#∞→→

= #O

= νλ⋅=∞→→ ν

24%.1!0

(,&$4&!10&1&0&",&2$%1"$& 2&%)&1"$& KG =

'' ' ( *9

'#*'+((#""'##(

=

4 2 7 = 4 2>

4 2>7

4 2

= 24

+249## 4 2> '4$$&0

' '' 4 2> (#F

-B.+(

4 2> '#

/ 4 2>

# = #

# * # 4 2>

4**

4 2>4 2>2

∂+ *#< = *< +(

# * '#' * #

((=

4 2>4 2>

4 2

/

∇=

4 2 4 2

/

∇= 2/4

<"'(# 94**2 / − '#"

4$$&0 '' 4 2> *(

* *<∆ =

944 2 4 2 27944 2>4 2>2*9*

><

*/*

*/*

/*

** −=−=

∂∂

=∆ ∫

#('

#' F'##(#'(#''(

/ < $('##

Page 8: A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

8/3/2019 A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

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%&/&%)!.0!1$%&(0!$!""*!1$%&&&,$0!"

<##"(1C

#"=

/

/= ∫ = 4

2

/

/

/

/

/−−==

∞∫ 24

M(((

<#+24##'

= ∞→ 8'' +24

'# / [email protected]. '# (

/ ''(('

' ( ( # '

'#(''##( G3 GG = G

(#'(#8(

/ AKGK π= (<

( G (#(''#24=

4 2 G 4 2 π= ∫ π= 4 2 G 4 2 24

VEr() E r()<'=

4 24 2

GG

4 24 2 −= 24

1(+242424=

= 4 2

4 2

E G 4 2 π= E G 4 2 π= 2:4

< = G / π=π= ( = G''+

2:4 = 4 2GG = P7(+2:4( /42

+24 = ' '# (

4 2 GG = (242:4=

4 2GG ((

−π===π ∫ 2@4

( *(2@4

( = ( / = 2A4

1(+242@4=

// /

G /

/

G α=πα=π=π== 2B4

+2B4#'+24

( G P0 G α= (

# #( (

Page 9: A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

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1,$2%,%"#0&&4&"$2$%&-"6=>8"*,!"&-.&"$'2$%$%&(0&&"$%'(!$%&

< /# = (*'=

G # / /( α=π=

(

/

(

/

# =

α=

24

+ 24 ( ?(# ' * (

[email protected]. % 4&" $%$ " &&,$0!" $ $%& &"&0#' &)& /# = /&%)& -."$.4

(,&$4&&"&0#'&)&+1,$2%,%!)&01&$%&(0&&"$%'(!$%&

=,%!&

#5'#-.((

''(

' *' +2/A4 =

KG G =+#' G #

''*'#'*'

;#''

#'(!6#' /α= <'(

('6#6P#P6'2>#4

=

!

6 /

>

= -.24

!6!#6 /> == 2/4

3' / !6# +2B4=

G P !6#/G =π= 24

-"6<8)&01&&-"6<?8,!4(&$&'"*,!"&-.&"$'$%&(0&&"$%'(!$%&

+2@4=

G π= 24

< /# = (24= !6#/# / π==π

/

/

!6 = 24

((+2424=

!6

=

π= 2:4

+(99(*'

'9(

=P(+2:4=

!6

= 2@4

19##'((0=

Page 10: A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

8/3/2019 A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

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!6

A

!6A

π=

π= 2 A 4

2& ," "!$,&+ &-"6@8+ 2%,% *&0)&* 10!4 $%& %'(!$%& !1 $%& ."1&* 1&*+ "*

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πAK * +2A4 !3 56 (

' ( #( 0C ' * 2 # # ?( Q"4 ( +2A4 *'#

-.-.

+2/4###''=

4 2>

4 2>

/

∂=

GK4G2>42>4 2> = 42> '

4G2> ' ' *

(# G 4 2> # ' '

(# G ((+2:424=

/6K42> = ((

/ GK4G2>

π=

πππ=

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=

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4 2>

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,!"$$.$& )&2 $%$ *4$ !&' !1 $$$, "$&0(0&$$!" C@D+ CD

'#+((#'#

/+((=

ψ =ψ +ψ ∇−/////

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Page 11: A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

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#< 1 / −= < /K1 ±= /K 1KG ±=

' # (#

#'

+(#')')(

'# #' # "( " '# ' #' * #8*

#'#'(#'#'#

#' # '# # ' #

' (' *' '' (( ' ('

''#'##'#(

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B

<#''(=

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2%,%0&,!4($/&2$%(0",(&++

/ ' # (# +( 2

''# / # = 4'=

3

∂=

∧ V

K

∂∂−=

//

/

///

K

*K43 2

∂∂

∂∂−=

∧'

#'*#=

ψ =τ /K 43 G24 2

= 4 2>7

3 G4 2 4 2

/

/ =ψ =τ=

/

4 2> ψ = #'* ' S #'*

'#*

(24+(

#'##=

4 2 4 2

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4 2

//

∇=∇=

4 2> #''#

Page 12: A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

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'( ( ' # (

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BE

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F'#

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Page 13: A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

8/3/2019 A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation

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E9

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