a.a. nassikas- the hypothesis of the unified field and the principle of its dual interpretation
Post on 06-Apr-2018
220 Views
Preview:
TRANSCRIPT
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
!
"#$%&
' ( '' ( '
)' #( *' # ( '
'#+((##(),'''
(*'#('
'(('#((#
'
'(-.-/.0(
11(2!34
+((##2564-.-.('''57-.
(8#'#(('##(((
# +(# #9 -:. (' -:.
*' #'( ( #98 ( '
#0'#(##8
'#(8''''#
''((((''''
+(#'((;#
#(+('(
(((#<(#'(!3
56(#'
# !3 56
'(##
'' +( ' ' !"# $%& %'(!$%& )*+ $%&&
,!"&-.&",&,"/&0�*&*(0",(&!1$%&."1&*1&*'(
#'((;#*
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 2/13
#56(!3
'#((###((56
!3(+("''(=
0",(&"$%&2%!&&3$&"$!1(0$,&1&*$%&0&*!&"!$&3$"'(0)&#&*0&+"*
"'(,&$4&!1$,!"$"&"&0#'*.&$!$%&(,&$4&$&1+2%,%4$$&0
6 ' *' '' (
'#'(
(0",(&!1$%&*."$&0(0&$$!"!1$%&."1&*1&*5
0",(&(0$,&1&*,"/&*&,0/&*+",!!0*"$&'$&4!1.,*&"(,&+
$%0!.#%(,&$4&2)&1.",$!"2%,%*&"$,2$%$%&(0$,&2)&1.",$!"!1$%&
1&*
0",(& "' (%', 4#"$.*& ," /& &3(0&&*+ " ,!!0*"$& '$&4 !1
.,*&"(,&+/!$%(,&$4&4#"$.*&"*-."$.44#"$.*&
' !3 #( #' '' (
''=
0",(&"$%&2%!&&3$&"$!1(0$,&1&*0&)*!"'$%!&,!"&-.&",&!1$%&
2%,%0&,!4($/&2$%(0",(&++
>' ( '' ( '#
' ( *( *
' * ' #( #' '
''((''0''#'' ('((#*
'##'*?=
!0!0' %& &3$&",&!0$%&"!" &3$&",&!1&"&0#' 4(& $%& &3$&",& !0$%& "!"
&3$&",&!1(,&$4&"*,!"&-.&"$'!1"'#&!4&$0'
'''#*
5623564'##(8#(356-@.
-A. -B. ( ( (
'#
0(24#2#4 ' ' '# #
+(('''(
#(#'###(
'# ( # '' '# # ( (
# '' +( ' (
'(#
'''
'#'('#(
# ' '#
8/3/2019 A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation
http://slidepdf.com/reader/full/aa-nassikas-the-hypothesis-of-the-unified-field-and-the-principle-of-its 3/13
#''##(
('
' '#('' ≠
(# → (# 42 7 χ=χ→χ
7
** → #' # ( #
# (''7
!3 '
#9#-.-.(''C
(#(/
=
DD
DC
CD
7D
7
7D ******
/ δ=δ==
7
D #'##
# Dδ EC#F'#
+(7
* ' '#
'#=
** = (=
/
D
D D
D D
D7D
7
7
D/ ****C*C*** =δ=δ=δ==
(#'# Ω (#'# Ω
' ' '# 9
##(#'#D Ω Ω 2
' 4''(##''G Ω Ω !3
>*'+(#(
#9 #( '#H
(-.=
42
G
G
===ττ
=γ =
4/2 G7 GG
==
I## (#
7 '#
##'# '#
'# ' # 9 #
+2/4(=
42 7G7
∫ =∫ =∫ =Ω
Ω ' ( '# (
##'
, # # ( # ( '# #
#''#
8/3/2019 A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation
http://slidepdf.com/reader/full/aa-nassikas-the-hypothesis-of-the-unified-field-and-the-principle-of-its 4/13
.,*$!"
"$%((&02%&"2&'*&,0($!"$%0!.#%,!!0*"$&'$&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+
*&,0/&*$%0!.#%,!!0*"$&'$&4!1$%&(,&$4&!10&1&0&",&/.$,!00&(!"*$!$%$
(!"$ !1 $%& 1&* 2%,% *&1"&* $%0!.#% $%& $0"1!04$!" !1 *&1!04$' ( ''''''56
J( ( # ('
#
'((+((#
(''''
#((#*-@.-B.=
>δδ 24
'#'(
''#(''+24
7(2424=
7K >δδ ∫ Ω
24324
(+('''
('2B4 ,,!0*"#$!$%&+$0*&,0/&*/'
,!"$".!.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
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 5/13
((+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
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 6/13
(+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=
N # * 1,!.0&+ "!$%"#,!4(& . $!
,,&($ $%$ $%& 3 !1 " ",!4(0&%&"/& 4#"$.*& 64#"0' 38 %!.* /&
(&0(&"*,.0 $!$%& 3 !1 $%& 0& 4#"$.*& "$%& ,!"$00' $%& (%', &"& !1
)0!. 4#"$.*& #)& &"& $! $%& ,!4(&3 0&(0&&"$$!" (
'#('*'#('
'(/
4 2> ψ = 8+#'
#'*'L(#'*'
θ(24+(
:;
1(+2:4''=
G3
== 2/@4
#( G3 G +(#('(# G3 '
((+2/@4=
G E= G (' →
G = G
G G#∞→→
= 2/A4
G ' ##
' G 0 ' '#
"##"#((#8
''#(
( ( G '
<#+2/A4=
G
G = 2/B4
8/3/2019 A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation
http://slidepdf.com/reader/full/aa-nassikas-the-hypothesis-of-the-unified-field-and-the-principle-of-its 7/13
+2/B4*'+(9''((
/ '(((# GG /
< /4(2 = +( ' →
''(# λ⋅= G ''(#
' 8 56 # ν=
∞→λ→ ν⇒∞→→ G → νλ '
#' ' 9 '#
2 3
=∞= = 4(=
G
G G#∞→→
= #O
= νλ⋅=∞→→ ν
24%.1!0
(,&$4&!10&1&0&",&2$%1"$& 2&%)&1"$& KG =
'' ' ( *9
'#*'+((#""'##(
=
4 2 7 = 4 2>
4 2>7
4 2
= 24
+249## 4 2> '4$$&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$$&0 '' 4 2> *(
* *<∆ =
944 2 4 2 27944 2>4 2>2*9*
><
*/*
*/*
/*
** −=−=
∂∂
=∆ ∫
#('
#' F'##(#'(#''(
′
/ < $('##
8/3/2019 A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation
http://slidepdf.com/reader/full/aa-nassikas-the-hypothesis-of-the-unified-field-and-the-principle-of-its 8/13
%&/&%)!.0!1$%&(0!$!""*!1$%&&&,$0!"
<##"(1C
#"=
/
/= ∫ = 4
2
/
/
/
/
/−−==
∞
∞∫ 24
M(((
<#+24##'
= ∞→ 8'' +24
'# / -@.-A.-B. '# (
/ ''(('
' ( ( # '
'#(''##( G3 GG = G
(#'(#8(
/ AKGK π= (<
( G (#(''#24=
4 2 G 4 2 π= ∫ π= 4 2 G 4 2 24
VEr() E r()<'=
4 24 2
GG
4 24 2 −= 24
1(+242424=
∫
= 4 2
4 2
E G 4 2 π= E G 4 2 π= 2:4
< = G / π=π= ( = G''+
2:4 = 4 2GG = P7(+2:4( /42
+24 = ' '# (
4 2 GG = (242:4=
4 2GG ((
−π===π ∫ 2@4
( *(2@4
( = ( / = 2A4
1(+242@4=
// /
G /
/
G α=πα=π=π== 2B4
+2B4#'+24
( G P0 G α= (
# #( (
8/3/2019 A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation
http://slidepdf.com/reader/full/aa-nassikas-the-hypothesis-of-the-unified-field-and-the-principle-of-its 9/13
!0(0!$!"&-"6<8)&01&$%$$%&(0!*.,$ G ,!"$"$1!0&)&0'&"&0#'$$&
1,$2%,%"#0&&4&"$2$%&-"6=>8"*,!"&-.&"$'2$%$%&(0&&"$%'(!$%&
< /# = (*'=
G # / /( α=π=
(
/
(
/
# =
α=
24
+ 24 ( ?(# ' * (
-@.-B. % 4&" $%$ " &&,$0!" $ $%& &"&0#' &)& /# = /&%)& -."$.4
(,&$4&&"&0#'&)&+1,$2%,%!)&01&$%&(0&&"$%'(!$%&
=,%!&
#5'#-.((
''(
' *' +2/A4 =
KG G =+#' G #
''*'#'*'
;#''
#'(!6#' /α= <'(
('6#6P#P6'2>#4
=
!
6 /
>
= -.24
!6!#6 /> == 2/4
3' / !6# +2B4=
G P !6#/G =π= 24
-"6<8)&01&&-"6<?8,!4(&$&'"*,!"&-.&"$'$%&(0&&"$%'(!$%&
+2@4=
G π= 24
< /# = (24= !6#/# / π==π
/
/
!6 = 24
((+2424=
!6
=
π= 2:4
+(99(*'
'9(
=P(+2:4=
!6
= 2@4
19##'((0=
8/3/2019 A.A. Nassikas- The Hypothesis of the Unified Field and the Principle of its Dual Interpretation
http://slidepdf.com/reader/full/aa-nassikas-the-hypothesis-of-the-unified-field-and-the-principle-of-its 10/13
!6
A
!6A
π=
π= 2 A 4
2& ," "!$,&+ &-"6@8+ 2%,% *&0)&* 10!4 $%& %'(!$%& !1 $%& ."1&* 1&*+ "*
2"#A&-"6>8+4!$,!",*&,( #'
πAK * +2A4 !3 56 (
' ( #( 0C ' * 2 # # ?( Q"4 ( +2A4 *'#
-.-.
+2/4###''=
4 2>
4 2>
/
∂
∂=
GK4G2>42>4 2> = 42> '
4G2> ' ' *
(# G 4 2> # ' '
(# G ((+2:424=
/6K42> = ((
/ GK4G2>
π=
πππ=
/( 6 /
4 2>π
=
( =
4 2>
4 2>
/
∂
∂=
(
/
−=
/(
!6−= *'R
%.&-"6<=8)&01&*"$%&,&!1/,%!&+1,$2%,%)&01&$%&(0&&"$%'(!$%&
0''*#'#8+2/4#'
##('#RC
#( +2/4 *' '
#('8ro '
<%&!,'!4""$&*
>1#-.''
('#F3#(
F3*'#(-.-:."$%%'(!$%&&)&0'
(,& "* $%&0&1!0& &)&0' !,' *!4""$ 1&* 4$$&0 & "* !1 &$%&0 $%&
&3$&",&!12%,%",!4($/&2$%$%&
B
M'''(#
# KG G= ((#(
(#'8'(#
#*''#(##
# ' ' %. $%& *.$' !1 4$$&0 *!& "!$
,!"$$.$& )&2 $%$ *4$ !&' !1 $$$, "$&0(0&$$!" C@D+ CD
'#+((#'#
/+((=
ψ =ψ +ψ ∇−/////
# < /
= > /K
±= ( +
24 /K KG ±= ( G '
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 11/13
#< 1 / −= < /K1 ±= /K 1KG ±=
' # (#
#'
+(#')')(
'# #' # "( " '# ' #' * #8*
#'#'(#'#'#
#' # '# # ' #
' (' *' '' (( ' ('
''#'##'#(
K'#
''''#
((''
B
<#''(=
#+(''"''
('"=
0",(&"$%&2%!&&3$&"$!1(0$,&1&*$%&0&*!&"!$&3$"'(0)&#&*0&+"*
"'(,&$4&!1$,!"$"&"&0#'*.&$!$%&(,&$4&$&1+2%,%4$$&0
0",(&"$%&2%!&&3$&"$!1(0$,&1&*$%&0&*!&"!$&3$"'(0)&#&*0&+"*
"'(,&$4&!1$,!"$"&"&0#'*.&$!$%&(,&$4&$&1+2%,%4$$&0
0",(& (0$,& 1&*," /&*&,0/&* $%0!.#% (,&$4& 2)& 1.",$!"2%,%
*&"$,2$%$%&(0$,&2)&1.",$!"!1$%&1&*
0",(& "' (%', 4#"$.*& ," /& &3(0&&*+ " ,!!0*"$& '$&4 !1
.,*&"(,&+/!$%(,&$4&4#"$.*&"*-."$.44#"$.*&
0",(&"$%&2%!&&3$&"$!1(0$,&1&*0&)*!"'$%!&,!"&-.&",&!1$%&
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
4 2>4 2>
4 2
//
∇=∇=
4 2> #''#
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 12/13
'( ( ' # (
(##(# G =
'
'
:0C'(C*'
'
@ ' # )) #' F38
*'#(
BE
T<((PK@
F'
G >
7 '#
'#
>C
K/U
#6
35((#""
> >##(#
>24>'
4 2> >'>
#'#
3#
35((#""#
I#
τ ?#'*#
F'
GG(#
3(#
G5((#""(#
SM(
HF'#
F'#(
F('=
F'#
F(''=
#(V,'
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 13/13
E9
(>E67!6(7QF'6W
((((
-.(>!7
-/.><BA1!'
-.FM0BAA10#"#111
01#1
-.F0B@:1''>
37/:
-.3<#BA57>;>
-:.XGR>##BA:!(+((#
#37
-@.FBB5((#6>(;??
-A.FBB35((#6>(;??
-B.FB:A5((##6!0RW
-.36196B:(!3
6!0RW
-.M!B@(#3#
>RW
-/.X71DF77B:35((#66!
0RW
-.EBB!3,*;>
-.>1#BA@'(!#>1(?-.0?0BBF!#G
-:.F"6(BB7'',G(?
F3!#G
top related