The Natural Philosophy Of The Cosmos (graphs) (c)
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QUICK REFERE CE GRAPH “T U3 vs. H β”: Figure G.1 Av. Cosmological Temperature
1
31 3.5 .10 e
5 .µ
2
3 .1031
Av. Cosmological Temperature (K)
2.5 .1031
31 2 .10
T U3 H β 1 T U3 e
5 .µ
2 1.5 .1031
31 1 .10
5 .1030
1
0.1
0.01
1 .10 3 Hβ Dimensionless Range Variable
Average Cosmological Temperature Maximum Av. Cosmological Temperature
35
1 .10 4
1 .10 5
1 .10 6
QUICK REFERE CE GRAPH
-1 “T U3 vs. t = (HβHα) ” (i): Fi gure G.2 p
p
p
p
p
p
p
Av. Cosmological Temperature vs. Age
1
31 3.5 .10
2
1 Hα
e
5 .µ . 1 Hα
3 .1031
Av. Cosmological Temperature (K)
2.5 .1031
31 2 .10
T U3 H β 1 T U3 e
5 .µ
2
1.5 .1031
31 1 .10
5 .1030
1 .10 43
1 .10 42
1 .10 41
1 .10 40
1 .10 39 1
H β .H α Cosmological Age (s)
36
1 .10 38
1 .10 37
1 .10 36
QUICK REFERE CE GRAPH
“T U3 vs . t = (H βH α)-1” (ii ): Figure G .3 p
p
p
p
p
p
p
Av. Cosmological Temperature vs. Age 1 Hα
31 3.5 .10
t1
3 .1031
2.5 .1031
Av. Cosmological Temperature (K)
T U3 H β 1 T U3 e
T U3 e
T U3 e
5 .µ
2
31 2 .10 2 10 .µ 1 2 2 5 .µ . 5 .µ 1
1.5 .1031
2 2 2 15 .µ . 5 .µ 2 2 2 2 . . . . . 2 5µ 5µ 5µ 3
31 1 .10
5 .1030
1 .10 43
1 .10 42
1 .10 41
1 .10 40
1 .10 39 1
H β .H α Cosmological Age (s)
37
1 .10 38
1 .10 37
1 .10 36
QUICK REFERE CE GRAPH
-1 “T U3 vs. t = (HβHα) ” (ii i): Fi gure G.4 p
p
p
p
p
p
p
Av. Cosmological Temperature vs. Age t2
31 3.5 .10
t3
3 .1031
2.5 .1031
Av. Cosmological Temperature (K)
T U3 H β 1 T U3 e
T U3 e
T U3 e
5 .µ
2
31 2 .10 2 10 .µ 1 2 2 5 .µ . 5 .µ 1
1.5 .1031
2 2 2 15 .µ . 5 .µ 2 2 2 2 . . . . . 2 5µ 5µ 5µ 3
31 1 .10
5 .1030
1 .10 43
1 .10 42
1 .10 41
1 .10 40
1 .10 39 1
H β .H α Cosmological Age (s)
38
1 .10 38
1 .10 37
1 .10 36
QUICK REFERE CE GRAPH “T U3 vs. H = (Hβ Hα)” (i): Figure G.5 Av. Cosmological Temp. vs. Hubble Cons.
31 3.5 .10 1 t1
Hα
31 3 .10
2.5 .1031
Av. Cosmological Temperature (K)
T U3 H β 1 T U3 e
2 5 .µ 2 .1031 2
T U3 e
T U3 e
10 .µ 1 2 2 5 .µ . 5 .µ 1 31 2 2 1.5 .10 15 .µ . 5 .µ 2 2 2 2 2 2 5 .µ . 5 .µ . 5 .µ 3
31 1 .10
5 .1030
1 .1043
1 .1042
1 .1041
1 .1040
1 .1039 H β .H α
Hubble Constant (Hz)
39
1 .1038
1 .1037
1 .1036
QUICK REFERE CE GRAPH “T U3 vs. H = (Hβ Hα)” (ii): Figure G.6 Av. Cosmological Temp. vs. Hubble Cons.
31 3.5 .10 1 1 t2 t3
31 3 .10
2.5 .1031
Av. Cosmological Temperature (K)
T U3 H β 1 T U3 e
2 5 .µ 2 .1031 2
T U3 e
T U3 e
10 .µ 1 2 2 5 .µ . 5 .µ 1 31 2 2 1.5 .10 15 .µ . 5 .µ 2 2 2 2 2 2 5 .µ . 5 .µ . 5 .µ 3
31 1 .10
5 .1030
1 .1043
1 .1042
1 .1041
1 .1040
1 .1039 H β .H α
Hubble Constant (Hz)
40
1 .1038
1 .1037
1 .1036
QUICK REFERE CE GRAPH
-1 “T U3 vs. r = (HβH α) c ” (i): Fi gure G.7 p
p
p
p
p
p
p
Av. Cosmological Temperature vs. Size c Hα
31 3.5 .10
t 1 .c
31 3 .10
2.5 .1031
Av. Cosmological Temperature (K)
T U3 H β 1 T U3 e
2 5 .µ
2 .1031 2
T U3 e
T U3 e
10 .µ 1 2 2 1 5 .µ . 5 .µ
31 1.5 .10
2 2 2 15 .µ . 5 .µ 2 2 2 2 2 3 5 .µ . 5 .µ . 5 .µ
31 1 .10
5 .1030
1 .10 34
1 .10 33
1 .10 32
1 .10 31
1 .10 30 1. c
H β .H α EGM Cosmological Size (m)
41
1 .10 29
1 .10 28
1 .10 27
QUICK REFERE CE GRAPH
-1 “T U3 vs. r = (HβH α) c ” (ii ): Figure G.8 p
p
p
p
p
p
Av. Cosmological Temperature vs. Size
31 3.5 .10
t 2 .c t 3 .c
31 3 .10
2.5 .1031
Av. Cosmological Temperature (K)
T U3 H β 1 T U3 e
2 5 .µ
2 .1031 2
T U3 e
T U3 e
10 .µ 1 2 2 1 5 .µ . 5 .µ
31 1.5 .10
2 2 2 15 .µ . 5 .µ 2 2 2 2 2 3 5 .µ . 5 .µ . 5 .µ
31 1 .10
5 .1030
1 .10 34
1 .10 33
1 .10 32
1 .10 31
1 .10 30 1. c
H β .H α EGM Cosmological Size (m)
42
1 .10 29
1 .10 28
1 .10 27
QUICK REFERE CE GRAPH
-1 “dT U4/ dt vs. t = (HβHα) ” (i): Fi gure G.9 p
p
p
p
p
p
p
p
1st Derivative of Av. Cosmological Temp.
1 .1072 t1
t2
71 8 .10
6 .1071
4 .1071
71 2 .10 dT dt
H β .H α
1
(K/s)
dT dt t 1
0
dT dt t 2 dT dt t 3
2 .1071
4 .1071
71 6 .10
71 8 .10
1 .1072
72 1.2 .10 1 .10 42
1 .10 41
1 .10 40 1
H β .H α Cosmological Age (s)
43
1 .10 39
QUICK REFERE CE GRAPH
-1 “dT U4/ dt vs. t = (HβHα) ” (ii): Fi gure G.10 p
p
p
p
p
p
p
p
1st Derivative of Av. Cosmological Temp.
1 .1072 t2
t3
71 8 .10
6 .1071
4 .1071
71 2 .10 dT dt
H β .H α
1
(K/s)
dT dt t 1
0
dT dt t 2 dT dt t 3
2 .1071
4 .1071
71 6 .10
71 8 .10
1 .1072
72 1.2 .10 1 .10 42
1 .10 41
1 .10 40 1
H β .H α Cosmological Age (s)
44
1 .10 39
QUICK REFERE CE GRAPH
2 2 -1 “d T U4/ dt vs . t = (HβHα) ” (i): Fi gure G.11 p
p
p
p
p
p
p
p
p
2nd Derivative of Av. Cosmological Temp.
113 5 .10 t1
t2
0
113 5 .10
(K/s^2)
dT2 dt2
H β .H α
1
1 .10114
dT2 dt2 t 1 dT2 dt2 t 2 dT2 dt2 t 3
114 1.5 .10
2 .10114
114 2.5 .10
114 3 .10 2 .10 42
3 .10 42
4 .10 42
5 .10 42
6 .10 42
7 .10 42
8 .10 42
9 .10 42 1 .10 41 1 H β .H α Cosmological Age (s)
45
1.1 .10 41 1.2 .10 41 1.3 .10 41 1.4 .10 41 1.5 .10 41
QUICK REFERE CE GRAPH
2 2 -1 “d T U4/ dt vs . t = (HβHα) ” (ii): Fi gure G.12 p
p
p
p
p
p
p
p
p
2nd Derivative of Av. Cosmological Temp.
113 5 .10 t2
t3
0
113 5 .10
(K/s^2)
dT2 dt2
H β .H α
1
1 .10114
dT2 dt2 t 1 dT2 dt2 t 2 dT2 dt2 t 3
114 1.5 .10
2 .10114
114 2.5 .10
114 3 .10 2 .10 42
3 .10 42
4 .10 42
5 .10 42
6 .10 42
7 .10 42
8 .10 42
9 .10 42 1 .10 41 1 H β .H α Cosmological Age (s)
46
1.1 .10 41 1.2 .10 41 1.3 .10 41 1.4 .10 41 1.5 .10 41
QUICK REFERE CE GRAPH
3 3 -1 “|d TU4/dt | vs. t = (Hβ Hα ) ” (i): Figure G.13 p
p
p
p
p
3rd Derivative of Av. Cosmological Temp.
157 1 .10 t1
t2
156 1 .10
(K/s^3)
dT3 dt3
H β .H α
1 .10155 1
dT3 dt3 t 1 dT3 dt3 t 2
1 .10154
153 1 .10
152 1 .10 2 .10 42
3 .10 42
4 .10 42
5 .10 42
6 .10 42
7 .10 42
8 .10 42
9 .10 42
1 .10 41 1
H β .H α Cosmological Age (s)
47
1.1 .10 41
1.2 .10 41
1.3 .10 41
1.4 .10 41
1.5 .10 41
QUICK REFERE CE GRAPH
3 3 -1 “|d TU4/dt | vs. t = (Hβ Hα ) ” (ii): Fi gure G.14 p
p
p
p
p
p
3rd Derivative of Av. Cosmological Temp.
157 1 .10 t2
t3
156 1 .10
(K/s^3)
dT3 dt3
H β .H α
1 .10155 1
dT3 dt3 t 1 dT3 dt3 t 2
1 .10154
153 1 .10
152 1 .10 2 .10 42
3 .10 42
4 .10 42
5 .10 42
6 .10 42
7 .10 42
8 .10 42
9 .10 42
1 .10 41 1
H β .H α Cosmological Age (s)
48
1.1 .10 41
1.2 .10 41
1.3 .10 41
1.4 .10 41
1.5 .10 41
QUICK REFERE CE GRAPH
η -1 “dH/dt vs. (Hβ Hα) ” (i): Fi gure G.15 p
p
p
p
1st Derivative of the Hubble Constant 1.6 .1084
t1
t4
84 1.4 .10
84 1.2 .10 dH dt H β
(Hz^2)
dH dt e
dH dt e
dH dt e
η
5 .µ
1 2
1 .1084 1
1 2 2 5 .µ . 5 .µ
1
8 .1083
2 2 2 5 .µ . 5 .µ 4 2 2 2 2 5 .µ . 5 .µ . 5 .µ 1
83 6 .10
83 4 .10
2 .1083
0
0
1 .10 43
1 .10 42
1 .10 41
1 .10 40
1 .10 39 1
η H β .H α Cosmological Age (s)
49
1 .10 38
1 .10 37
1 .10 36
QUICK REFERE CE GRAPH
η -1 “dH/dt vs. (Hβ Hα) ” (ii ): Figure G.16 p
p
1st Derivative of the Hubble Constant 2 .1084 1 Hα
t1
84 1 .10
0
0
dH dt H β
(Hz^2)
dH dt e
η
5 .µ
1 2
1 .1084
1
84 2 .10 1
dH dt e
2 2 5 .µ . 5 .µ
3 .1084 2
dH dt e
1
2
2 5 .µ . 5 .µ 4 2 2 2 2 5 .µ . 5 .µ . 5 .µ 1
84 4 .10
5 .1084
6 .1084
84 7 .10
1 .10 43
1 .10 42
1 .10 41
1 .10 40
1 .10 39 1
η H β .H α Cosmological Age (s)
50
1 .10 38
1 .10 37
1 .10 36
QUICK REFERE CE GRAPH
η -1 “dH/dt vs. (Hβ Hα) ” (ii i): Figure G.17 p
p
1st Derivative of the Hubble Constant 2 .1084 t2
t3
84 1 .10
0
0
dH dt H β
(Hz^2)
dH dt e
η
5 .µ
1 2
1 .1084
1
84 2 .10 1
dH dt e
2 2 5 .µ . 5 .µ
3 .1084 2
dH dt e
1
2
2 5 .µ . 5 .µ 4 2 2 2 2 5 .µ . 5 .µ . 5 .µ 1
84 4 .10
5 .1084
6 .1084
84 7 .10
1 .10 43
1 .10 42
1 .10 41
1 .10 40
1 .10 39 1
η H β .H α Cosmological Age (s)
51
1 .10 38
1 .10 37
1 .10 36
QUICK REFERE CE GRAPH
η -1 “dH/dt vs. (Hβ Hα) ” (iv ): Figure G.18 p
p
p
1st Derivative of the Hubble Constant 2 .1084 t5
t4
84 1 .10
0
0
dH dt H β
(Hz^2)
dH dt e
η
5 .µ
1 2
1 .1084
1
84 2 .10 1
dH dt e
2 2 5 .µ . 5 .µ
3 .1084 2
dH dt e
1
2
2 5 .µ . 5 .µ 4 2 2 2 2 5 .µ . 5 .µ . 5 .µ 1
84 4 .10
5 .1084
6 .1084
84 7 .10
1 .10 43
1 .10 42
1 .10 41
1 .10 40
1 .10 39 1
η H β .H α Cosmological Age (s)
52
1 .10 38
1 .10 37
1 .10 36
QUICK REFERE CE GRAPH
2 2 -1 “d H/dt vs. (Hβ H α) ” (i): Fi gure G.19 η
p
p
p
p
2nd Derivative of the Hubble Constant 1 Hα
4 .10127
t1
127 3.5 .10
3 .10127
(Hz^3)
2.5 .10127
dH2 dt2 H β
η
127 2 .10
127 1.5 .10
1 .10127
5 .10126
0
0
1 .10 43
1 .10 42
1 .10 41 1
η H β .H α Cosmological Age (s)
53
1 .10 40
QUICK REFERE CE GRAPH
2 2 -1 “d H/dt vs. (Hβ H α) ” (ii ): Figure G.20 η
p
p
p
2nd Derivative of the Hubble Constant t2
4 .10127
t3
127 3.5 .10
3 .10127
(Hz^3)
2.5 .10127
dH2 dt2 H β
η
127 2 .10
127 1.5 .10
1 .10127
5 .10126
0
0
1 .10 43
1 .10 42
1 .10 41 1
η H β .H α Cosmological Age (s)
54
1 .10 40
QUICK REFERE CE GRAPH
2 2 -1 “d H/dt vs. (Hβ H α) ” (ii i): Figure G.21 η
p
p
p
2nd Derivative of the Hubble Constant t5
4 .10127
t4
127 3.5 .10
3 .10127
(Hz^3)
2.5 .10127
dH2 dt2 H β
η
127 2 .10
127 1.5 .10
1 .10127
5 .10126
0
0
1 .10 43
1 .10 42
1 .10 41 1
η H β .H α Cosmological Age (s)
55
1 .10 40
QUICK REFERE CE GRAPH
2 2 -1 “d H/dt vs. (Hβ H α) ” (iv ): Figure G.22 η
p
p
p
2nd Derivative of the Hubble Constant 125 8 .10
t1
t2
7 .10125
125 6 .10
dH2 dt2 H β
(Hz^3)
dH2 dt2 e
dH2 dt2 e
dH2 dt2 e
η
5 .µ
1 2
125 5 .10
1
1 2 2 5 .µ . 5 .µ
4 .10125
1
2 2 2 5 .µ . 5 .µ 4 2 2 2 . . . . . 2 5µ 5µ 5µ 1
125 3 .10
2 .10125
1 .10125 0
0
1 .10125
1 .10 42
1 .10 41 1 η H β .H α Cosmological Age (s)
56
1 .10 40
QUICK REFERE CE GRAPH
2 2 -1 “d H/dt vs. (Hβ H α) ” (v): Fi gure G.23 η
p
p
p
p
2nd Derivative of the Hubble Constant 125 8 .10
t3
t4
7 .10125
125 6 .10
dH2 dt2 H β
(Hz^3)
dH2 dt2 e
dH2 dt2 e
dH2 dt2 e
η
5 .µ
1 2
125 5 .10
1
1 2 2 5 .µ . 5 .µ
4 .10125
1
2 2 2 5 .µ . 5 .µ 4 2 2 2 . . . . . 2 5µ 5µ 5µ 1
125 3 .10
2 .10125
1 .10125 0
0
1 .10125
1 .10 42
1 .10 41 1 η H β .H α Cosmological Age (s)
57
1 .10 40
QUICK REFERE CE GRAPH
2 2 -1 “d H/dt vs. (Hβ H α) ” (vi ): Figure G.24 η
p
p
p
2nd Derivative of the Hubble Constant 125 8 .10
t5
7 .10125
125 6 .10
dH2 dt2 H β
(Hz^3)
dH2 dt2 e
dH2 dt2 e
dH2 dt2 e
η
5 .µ
1 2
125 5 .10
1
1 2 2 5 .µ . 5 .µ
4 .10125
1
2 2 2 5 .µ . 5 .µ 4 2 2 2 . . . . . 2 5µ 5µ 5µ 1
125 3 .10
2 .10125
1 .10125 0
0
1 .10125
1 .10 42
1 .10 41 1 η H β .H α Cosmological Age (s)
58
1 .10 40
QUICK REFERE CE GRAPH
-1 “|H| vs. (H β Hα) ” (i ): Figure G.25 η
p
p
p
p
Mag. of Hubble Cons. vs. Cosm. Age
2.5 .1042
1 Hα
t1
42 2 .10 dH dt H β
dH dt e
5 .µ
η
1 2
1
1.5 .1042
(Hz)
1 dH dt e
dH dt e
2 2 5 .µ . 5 .µ
1
2 2 2 5 .µ . 5 .µ 4 2 2 2 2 1 5 .µ . 5 .µ . 5 .µ
42 1 .10
5 .1041
0 1 .10 43
1 .10 42
1 .10 41
1 .10 40
1 .10 39
1 .10 38
1 .10 37
1 .10 36 1
η H β .H α Cosmological Age (s)
59
1 .10 35
1 .10 34
1 .10 33
1 .10 32
1 .10 31
1 .10 30
QUICK REFERE CE GRAPH
-1 “|H| vs. (H β Hα) ” (i i): Figure G.26 η
p
p
p
Mag. of Hubble Cons. vs. Cosm. Age
2.5 .1042
1 Hα
t4
42 2 .10 dH dt H β
dH dt e
5 .µ
η
1 2
1
1.5 .1042
(Hz)
1 dH dt e
dH dt e
2 2 5 .µ . 5 .µ
1
2 2 2 5 .µ . 5 .µ 4 2 2 2 2 1 5 .µ . 5 .µ . 5 .µ
42 1 .10
5 .1041
0 1 .10 43
1 .10 42
1 .10 41
1 .10 40
1 .10 39
1 .10 38
1 .10 37
1 .10 36 1
η H β .H α Cosmological Age (s)
60
1 .10 35
1 .10 34
1 .10 33
1 .10 32
1 .10 31
1 .10 30
QUICK REFERE CE GRAPH “T U2,3 vs. |H|”: Figure G.27 Av. Cosmological Temp. vs. Hubble Cons.
31 3.5 .10 1 t1
Hα 31 3 .10
Av. Cosmological Temperature (K)
2.5 .1031
T U2
dH dt H β
η 2 .1031
T U3 H β 1 T U3 e
5 .µ
2 31 1.5 .10
31 1 .10
5 .1030
1 .1043
1 .1042
1 .1041
1 .1040
1 .1039
η dH dt H β , H β .H α Hubble Constant (Hz)
61
1 .1038
1 .1037
1 .1036
QUICK REFERE CE GRAPH “T U2 vs. |H|”: Figure G.28 Av. Cosmological Temp. vs. Hubble Cons.
31 3.5 .10 1 t1
Hα 31 3 .10
Av. Cosmological Temperature (K)
2.5 .1031
T U2
dH dt H β
η 2 .1031
1 T U3 e
5 .µ
2 31 1.5 .10
31 1 .10
5 .1030
1 .1043
1 .1042
1 .1041
1 .1040
1 .1039
η dH dt H β Hubble Constant (Hz)
62
1 .1038
1 .1037
1 .1036
1
31 3.5 .10 e
5 .µ
2
3 .1031
Av. Cosmological Temperature (K)
2.5 .1031
31 2 .10
T U3 H β 1 T U3 e
5 .µ
2 1.5 .1031
31 1 .10
5 .1030
1
0.1
0.01
1 .10 3 Hβ Dimensionless Range Variable
Average Cosmological Temperature Maximum Av. Cosmological Temperature
35
1 .10 4
1 .10 5
1 .10 6
QUICK REFERE CE GRAPH
-1 “T U3 vs. t = (HβHα) ” (i): Fi gure G.2 p
p
p
p
p
p
p
Av. Cosmological Temperature vs. Age
1
31 3.5 .10
2
1 Hα
e
5 .µ . 1 Hα
3 .1031
Av. Cosmological Temperature (K)
2.5 .1031
31 2 .10
T U3 H β 1 T U3 e
5 .µ
2
1.5 .1031
31 1 .10
5 .1030
1 .10 43
1 .10 42
1 .10 41
1 .10 40
1 .10 39 1
H β .H α Cosmological Age (s)
36
1 .10 38
1 .10 37
1 .10 36
QUICK REFERE CE GRAPH
“T U3 vs . t = (H βH α)-1” (ii ): Figure G .3 p
p
p
p
p
p
p
Av. Cosmological Temperature vs. Age 1 Hα
31 3.5 .10
t1
3 .1031
2.5 .1031
Av. Cosmological Temperature (K)
T U3 H β 1 T U3 e
T U3 e
T U3 e
5 .µ
2
31 2 .10 2 10 .µ 1 2 2 5 .µ . 5 .µ 1
1.5 .1031
2 2 2 15 .µ . 5 .µ 2 2 2 2 . . . . . 2 5µ 5µ 5µ 3
31 1 .10
5 .1030
1 .10 43
1 .10 42
1 .10 41
1 .10 40
1 .10 39 1
H β .H α Cosmological Age (s)
37
1 .10 38
1 .10 37
1 .10 36
QUICK REFERE CE GRAPH
-1 “T U3 vs. t = (HβHα) ” (ii i): Fi gure G.4 p
p
p
p
p
p
p
Av. Cosmological Temperature vs. Age t2
31 3.5 .10
t3
3 .1031
2.5 .1031
Av. Cosmological Temperature (K)
T U3 H β 1 T U3 e
T U3 e
T U3 e
5 .µ
2
31 2 .10 2 10 .µ 1 2 2 5 .µ . 5 .µ 1
1.5 .1031
2 2 2 15 .µ . 5 .µ 2 2 2 2 . . . . . 2 5µ 5µ 5µ 3
31 1 .10
5 .1030
1 .10 43
1 .10 42
1 .10 41
1 .10 40
1 .10 39 1
H β .H α Cosmological Age (s)
38
1 .10 38
1 .10 37
1 .10 36
QUICK REFERE CE GRAPH “T U3 vs. H = (Hβ Hα)” (i): Figure G.5 Av. Cosmological Temp. vs. Hubble Cons.
31 3.5 .10 1 t1
Hα
31 3 .10
2.5 .1031
Av. Cosmological Temperature (K)
T U3 H β 1 T U3 e
2 5 .µ 2 .1031 2
T U3 e
T U3 e
10 .µ 1 2 2 5 .µ . 5 .µ 1 31 2 2 1.5 .10 15 .µ . 5 .µ 2 2 2 2 2 2 5 .µ . 5 .µ . 5 .µ 3
31 1 .10
5 .1030
1 .1043
1 .1042
1 .1041
1 .1040
1 .1039 H β .H α
Hubble Constant (Hz)
39
1 .1038
1 .1037
1 .1036
QUICK REFERE CE GRAPH “T U3 vs. H = (Hβ Hα)” (ii): Figure G.6 Av. Cosmological Temp. vs. Hubble Cons.
31 3.5 .10 1 1 t2 t3
31 3 .10
2.5 .1031
Av. Cosmological Temperature (K)
T U3 H β 1 T U3 e
2 5 .µ 2 .1031 2
T U3 e
T U3 e
10 .µ 1 2 2 5 .µ . 5 .µ 1 31 2 2 1.5 .10 15 .µ . 5 .µ 2 2 2 2 2 2 5 .µ . 5 .µ . 5 .µ 3
31 1 .10
5 .1030
1 .1043
1 .1042
1 .1041
1 .1040
1 .1039 H β .H α
Hubble Constant (Hz)
40
1 .1038
1 .1037
1 .1036
QUICK REFERE CE GRAPH
-1 “T U3 vs. r = (HβH α) c ” (i): Fi gure G.7 p
p
p
p
p
p
p
Av. Cosmological Temperature vs. Size c Hα
31 3.5 .10
t 1 .c
31 3 .10
2.5 .1031
Av. Cosmological Temperature (K)
T U3 H β 1 T U3 e
2 5 .µ
2 .1031 2
T U3 e
T U3 e
10 .µ 1 2 2 1 5 .µ . 5 .µ
31 1.5 .10
2 2 2 15 .µ . 5 .µ 2 2 2 2 2 3 5 .µ . 5 .µ . 5 .µ
31 1 .10
5 .1030
1 .10 34
1 .10 33
1 .10 32
1 .10 31
1 .10 30 1. c
H β .H α EGM Cosmological Size (m)
41
1 .10 29
1 .10 28
1 .10 27
QUICK REFERE CE GRAPH
-1 “T U3 vs. r = (HβH α) c ” (ii ): Figure G.8 p
p
p
p
p
p
Av. Cosmological Temperature vs. Size
31 3.5 .10
t 2 .c t 3 .c
31 3 .10
2.5 .1031
Av. Cosmological Temperature (K)
T U3 H β 1 T U3 e
2 5 .µ
2 .1031 2
T U3 e
T U3 e
10 .µ 1 2 2 1 5 .µ . 5 .µ
31 1.5 .10
2 2 2 15 .µ . 5 .µ 2 2 2 2 2 3 5 .µ . 5 .µ . 5 .µ
31 1 .10
5 .1030
1 .10 34
1 .10 33
1 .10 32
1 .10 31
1 .10 30 1. c
H β .H α EGM Cosmological Size (m)
42
1 .10 29
1 .10 28
1 .10 27
QUICK REFERE CE GRAPH
-1 “dT U4/ dt vs. t = (HβHα) ” (i): Fi gure G.9 p
p
p
p
p
p
p
p
1st Derivative of Av. Cosmological Temp.
1 .1072 t1
t2
71 8 .10
6 .1071
4 .1071
71 2 .10 dT dt
H β .H α
1
(K/s)
dT dt t 1
0
dT dt t 2 dT dt t 3
2 .1071
4 .1071
71 6 .10
71 8 .10
1 .1072
72 1.2 .10 1 .10 42
1 .10 41
1 .10 40 1
H β .H α Cosmological Age (s)
43
1 .10 39
QUICK REFERE CE GRAPH
-1 “dT U4/ dt vs. t = (HβHα) ” (ii): Fi gure G.10 p
p
p
p
p
p
p
p
1st Derivative of Av. Cosmological Temp.
1 .1072 t2
t3
71 8 .10
6 .1071
4 .1071
71 2 .10 dT dt
H β .H α
1
(K/s)
dT dt t 1
0
dT dt t 2 dT dt t 3
2 .1071
4 .1071
71 6 .10
71 8 .10
1 .1072
72 1.2 .10 1 .10 42
1 .10 41
1 .10 40 1
H β .H α Cosmological Age (s)
44
1 .10 39
QUICK REFERE CE GRAPH
2 2 -1 “d T U4/ dt vs . t = (HβHα) ” (i): Fi gure G.11 p
p
p
p
p
p
p
p
p
2nd Derivative of Av. Cosmological Temp.
113 5 .10 t1
t2
0
113 5 .10
(K/s^2)
dT2 dt2
H β .H α
1
1 .10114
dT2 dt2 t 1 dT2 dt2 t 2 dT2 dt2 t 3
114 1.5 .10
2 .10114
114 2.5 .10
114 3 .10 2 .10 42
3 .10 42
4 .10 42
5 .10 42
6 .10 42
7 .10 42
8 .10 42
9 .10 42 1 .10 41 1 H β .H α Cosmological Age (s)
45
1.1 .10 41 1.2 .10 41 1.3 .10 41 1.4 .10 41 1.5 .10 41
QUICK REFERE CE GRAPH
2 2 -1 “d T U4/ dt vs . t = (HβHα) ” (ii): Fi gure G.12 p
p
p
p
p
p
p
p
p
2nd Derivative of Av. Cosmological Temp.
113 5 .10 t2
t3
0
113 5 .10
(K/s^2)
dT2 dt2
H β .H α
1
1 .10114
dT2 dt2 t 1 dT2 dt2 t 2 dT2 dt2 t 3
114 1.5 .10
2 .10114
114 2.5 .10
114 3 .10 2 .10 42
3 .10 42
4 .10 42
5 .10 42
6 .10 42
7 .10 42
8 .10 42
9 .10 42 1 .10 41 1 H β .H α Cosmological Age (s)
46
1.1 .10 41 1.2 .10 41 1.3 .10 41 1.4 .10 41 1.5 .10 41
QUICK REFERE CE GRAPH
3 3 -1 “|d TU4/dt | vs. t = (Hβ Hα ) ” (i): Figure G.13 p
p
p
p
p
3rd Derivative of Av. Cosmological Temp.
157 1 .10 t1
t2
156 1 .10
(K/s^3)
dT3 dt3
H β .H α
1 .10155 1
dT3 dt3 t 1 dT3 dt3 t 2
1 .10154
153 1 .10
152 1 .10 2 .10 42
3 .10 42
4 .10 42
5 .10 42
6 .10 42
7 .10 42
8 .10 42
9 .10 42
1 .10 41 1
H β .H α Cosmological Age (s)
47
1.1 .10 41
1.2 .10 41
1.3 .10 41
1.4 .10 41
1.5 .10 41
QUICK REFERE CE GRAPH
3 3 -1 “|d TU4/dt | vs. t = (Hβ Hα ) ” (ii): Fi gure G.14 p
p
p
p
p
p
3rd Derivative of Av. Cosmological Temp.
157 1 .10 t2
t3
156 1 .10
(K/s^3)
dT3 dt3
H β .H α
1 .10155 1
dT3 dt3 t 1 dT3 dt3 t 2
1 .10154
153 1 .10
152 1 .10 2 .10 42
3 .10 42
4 .10 42
5 .10 42
6 .10 42
7 .10 42
8 .10 42
9 .10 42
1 .10 41 1
H β .H α Cosmological Age (s)
48
1.1 .10 41
1.2 .10 41
1.3 .10 41
1.4 .10 41
1.5 .10 41
QUICK REFERE CE GRAPH
η -1 “dH/dt vs. (Hβ Hα) ” (i): Fi gure G.15 p
p
p
p
1st Derivative of the Hubble Constant 1.6 .1084
t1
t4
84 1.4 .10
84 1.2 .10 dH dt H β
(Hz^2)
dH dt e
dH dt e
dH dt e
η
5 .µ
1 2
1 .1084 1
1 2 2 5 .µ . 5 .µ
1
8 .1083
2 2 2 5 .µ . 5 .µ 4 2 2 2 2 5 .µ . 5 .µ . 5 .µ 1
83 6 .10
83 4 .10
2 .1083
0
0
1 .10 43
1 .10 42
1 .10 41
1 .10 40
1 .10 39 1
η H β .H α Cosmological Age (s)
49
1 .10 38
1 .10 37
1 .10 36
QUICK REFERE CE GRAPH
η -1 “dH/dt vs. (Hβ Hα) ” (ii ): Figure G.16 p
p
1st Derivative of the Hubble Constant 2 .1084 1 Hα
t1
84 1 .10
0
0
dH dt H β
(Hz^2)
dH dt e
η
5 .µ
1 2
1 .1084
1
84 2 .10 1
dH dt e
2 2 5 .µ . 5 .µ
3 .1084 2
dH dt e
1
2
2 5 .µ . 5 .µ 4 2 2 2 2 5 .µ . 5 .µ . 5 .µ 1
84 4 .10
5 .1084
6 .1084
84 7 .10
1 .10 43
1 .10 42
1 .10 41
1 .10 40
1 .10 39 1
η H β .H α Cosmological Age (s)
50
1 .10 38
1 .10 37
1 .10 36
QUICK REFERE CE GRAPH
η -1 “dH/dt vs. (Hβ Hα) ” (ii i): Figure G.17 p
p
1st Derivative of the Hubble Constant 2 .1084 t2
t3
84 1 .10
0
0
dH dt H β
(Hz^2)
dH dt e
η
5 .µ
1 2
1 .1084
1
84 2 .10 1
dH dt e
2 2 5 .µ . 5 .µ
3 .1084 2
dH dt e
1
2
2 5 .µ . 5 .µ 4 2 2 2 2 5 .µ . 5 .µ . 5 .µ 1
84 4 .10
5 .1084
6 .1084
84 7 .10
1 .10 43
1 .10 42
1 .10 41
1 .10 40
1 .10 39 1
η H β .H α Cosmological Age (s)
51
1 .10 38
1 .10 37
1 .10 36
QUICK REFERE CE GRAPH
η -1 “dH/dt vs. (Hβ Hα) ” (iv ): Figure G.18 p
p
p
1st Derivative of the Hubble Constant 2 .1084 t5
t4
84 1 .10
0
0
dH dt H β
(Hz^2)
dH dt e
η
5 .µ
1 2
1 .1084
1
84 2 .10 1
dH dt e
2 2 5 .µ . 5 .µ
3 .1084 2
dH dt e
1
2
2 5 .µ . 5 .µ 4 2 2 2 2 5 .µ . 5 .µ . 5 .µ 1
84 4 .10
5 .1084
6 .1084
84 7 .10
1 .10 43
1 .10 42
1 .10 41
1 .10 40
1 .10 39 1
η H β .H α Cosmological Age (s)
52
1 .10 38
1 .10 37
1 .10 36
QUICK REFERE CE GRAPH
2 2 -1 “d H/dt vs. (Hβ H α) ” (i): Fi gure G.19 η
p
p
p
p
2nd Derivative of the Hubble Constant 1 Hα
4 .10127
t1
127 3.5 .10
3 .10127
(Hz^3)
2.5 .10127
dH2 dt2 H β
η
127 2 .10
127 1.5 .10
1 .10127
5 .10126
0
0
1 .10 43
1 .10 42
1 .10 41 1
η H β .H α Cosmological Age (s)
53
1 .10 40
QUICK REFERE CE GRAPH
2 2 -1 “d H/dt vs. (Hβ H α) ” (ii ): Figure G.20 η
p
p
p
2nd Derivative of the Hubble Constant t2
4 .10127
t3
127 3.5 .10
3 .10127
(Hz^3)
2.5 .10127
dH2 dt2 H β
η
127 2 .10
127 1.5 .10
1 .10127
5 .10126
0
0
1 .10 43
1 .10 42
1 .10 41 1
η H β .H α Cosmological Age (s)
54
1 .10 40
QUICK REFERE CE GRAPH
2 2 -1 “d H/dt vs. (Hβ H α) ” (ii i): Figure G.21 η
p
p
p
2nd Derivative of the Hubble Constant t5
4 .10127
t4
127 3.5 .10
3 .10127
(Hz^3)
2.5 .10127
dH2 dt2 H β
η
127 2 .10
127 1.5 .10
1 .10127
5 .10126
0
0
1 .10 43
1 .10 42
1 .10 41 1
η H β .H α Cosmological Age (s)
55
1 .10 40
QUICK REFERE CE GRAPH
2 2 -1 “d H/dt vs. (Hβ H α) ” (iv ): Figure G.22 η
p
p
p
2nd Derivative of the Hubble Constant 125 8 .10
t1
t2
7 .10125
125 6 .10
dH2 dt2 H β
(Hz^3)
dH2 dt2 e
dH2 dt2 e
dH2 dt2 e
η
5 .µ
1 2
125 5 .10
1
1 2 2 5 .µ . 5 .µ
4 .10125
1
2 2 2 5 .µ . 5 .µ 4 2 2 2 . . . . . 2 5µ 5µ 5µ 1
125 3 .10
2 .10125
1 .10125 0
0
1 .10125
1 .10 42
1 .10 41 1 η H β .H α Cosmological Age (s)
56
1 .10 40
QUICK REFERE CE GRAPH
2 2 -1 “d H/dt vs. (Hβ H α) ” (v): Fi gure G.23 η
p
p
p
p
2nd Derivative of the Hubble Constant 125 8 .10
t3
t4
7 .10125
125 6 .10
dH2 dt2 H β
(Hz^3)
dH2 dt2 e
dH2 dt2 e
dH2 dt2 e
η
5 .µ
1 2
125 5 .10
1
1 2 2 5 .µ . 5 .µ
4 .10125
1
2 2 2 5 .µ . 5 .µ 4 2 2 2 . . . . . 2 5µ 5µ 5µ 1
125 3 .10
2 .10125
1 .10125 0
0
1 .10125
1 .10 42
1 .10 41 1 η H β .H α Cosmological Age (s)
57
1 .10 40
QUICK REFERE CE GRAPH
2 2 -1 “d H/dt vs. (Hβ H α) ” (vi ): Figure G.24 η
p
p
p
2nd Derivative of the Hubble Constant 125 8 .10
t5
7 .10125
125 6 .10
dH2 dt2 H β
(Hz^3)
dH2 dt2 e
dH2 dt2 e
dH2 dt2 e
η
5 .µ
1 2
125 5 .10
1
1 2 2 5 .µ . 5 .µ
4 .10125
1
2 2 2 5 .µ . 5 .µ 4 2 2 2 . . . . . 2 5µ 5µ 5µ 1
125 3 .10
2 .10125
1 .10125 0
0
1 .10125
1 .10 42
1 .10 41 1 η H β .H α Cosmological Age (s)
58
1 .10 40
QUICK REFERE CE GRAPH
-1 “|H| vs. (H β Hα) ” (i ): Figure G.25 η
p
p
p
p
Mag. of Hubble Cons. vs. Cosm. Age
2.5 .1042
1 Hα
t1
42 2 .10 dH dt H β
dH dt e
5 .µ
η
1 2
1
1.5 .1042
(Hz)
1 dH dt e
dH dt e
2 2 5 .µ . 5 .µ
1
2 2 2 5 .µ . 5 .µ 4 2 2 2 2 1 5 .µ . 5 .µ . 5 .µ
42 1 .10
5 .1041
0 1 .10 43
1 .10 42
1 .10 41
1 .10 40
1 .10 39
1 .10 38
1 .10 37
1 .10 36 1
η H β .H α Cosmological Age (s)
59
1 .10 35
1 .10 34
1 .10 33
1 .10 32
1 .10 31
1 .10 30
QUICK REFERE CE GRAPH
-1 “|H| vs. (H β Hα) ” (i i): Figure G.26 η
p
p
p
Mag. of Hubble Cons. vs. Cosm. Age
2.5 .1042
1 Hα
t4
42 2 .10 dH dt H β
dH dt e
5 .µ
η
1 2
1
1.5 .1042
(Hz)
1 dH dt e
dH dt e
2 2 5 .µ . 5 .µ
1
2 2 2 5 .µ . 5 .µ 4 2 2 2 2 1 5 .µ . 5 .µ . 5 .µ
42 1 .10
5 .1041
0 1 .10 43
1 .10 42
1 .10 41
1 .10 40
1 .10 39
1 .10 38
1 .10 37
1 .10 36 1
η H β .H α Cosmological Age (s)
60
1 .10 35
1 .10 34
1 .10 33
1 .10 32
1 .10 31
1 .10 30
QUICK REFERE CE GRAPH “T U2,3 vs. |H|”: Figure G.27 Av. Cosmological Temp. vs. Hubble Cons.
31 3.5 .10 1 t1
Hα 31 3 .10
Av. Cosmological Temperature (K)
2.5 .1031
T U2
dH dt H β
η 2 .1031
T U3 H β 1 T U3 e
5 .µ
2 31 1.5 .10
31 1 .10
5 .1030
1 .1043
1 .1042
1 .1041
1 .1040
1 .1039
η dH dt H β , H β .H α Hubble Constant (Hz)
61
1 .1038
1 .1037
1 .1036
QUICK REFERE CE GRAPH “T U2 vs. |H|”: Figure G.28 Av. Cosmological Temp. vs. Hubble Cons.
31 3.5 .10 1 t1
Hα 31 3 .10
Av. Cosmological Temperature (K)
2.5 .1031
T U2
dH dt H β
η 2 .1031
1 T U3 e
5 .µ
2 31 1.5 .10
31 1 .10
5 .1030
1 .1043
1 .1042
1 .1041
1 .1040
1 .1039
η dH dt H β Hubble Constant (Hz)
62
1 .1038
1 .1037
1 .1036
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