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and substituting G and ƒÂ by their respective values (all values in MKS-metric system), we get:
s
x
s
kg
m
x
m
kg
t
44
2
/
1
2
1
3
11
3
97
10
871
.
3
10
673
.
6
1
10
1
=
=
, (4)
with the result that, “t” resembles much Planck Time (tP = 5.391x10-44 s).
Since there is no other “time” that resembles tP so closely, and provided that “t” is
effectively “tP”, it is legitimate to express G as:
2
1
P
ZPt
G
ƒÂ
=
,
(5)
where: ƒÂZP = ZPF mass-density equivalent.
Finding now ƒÂZP in (5), we are able to calculate the exact value of the ZPF mass-density
equivalent:
3
96
2
/
10
156
.
5
1
m
kg
x
t
GP
ZP
=
=
ƒÂ
,
(6)
which is almost identical to the1097 kg/m3 that Puthoff [5] calculated for the “mass-density
equivalent of the vacuum ZPE fields”.
2. Demonstration that (5) is Correct.
Since the figure of ƒÂZP [5] was an approximate value, this author developed an alternative
way to demonstrate that (5) is correct. In fact, a QV mass-density can be understood per definition
as a Planck mass in a Planck volume:
3
P
P
ZP
l
m
=
ƒÂ
(
)
3
96
3
105
8
3
35
8
10
159
.
5
10
220
.
4
10
177
.
2
10
616
.
1
10
177
.
2
=
=
=
m
kg
x
m
x
kg
x
m
x
kg
x
, (7)
with the values of (6) and (7) being identical to the rounded decimals. The corresponding mean is
5.1575x1096 kg/m3 and in any case, ƒÂZP is equal to rounded 5.16x1096 kg/m3. Since (6) and (7) are
practically identical, it is legitimate to consider that (5) is a correct equation in describing G.
3. Relationship between the ZPF Mass-Density Equivalent and ZPE Density Flow.
Taking Haisch & Rueda’s [6] equation of the ZPF “energy density” flow at the Planck
frequency cutoff (ƒÏZP = 2ƒÎ2c7/G2 ) and finding G2, we get:
ZP
c
G
ƒÏ
ƒÎ
7
2
2
2
=
.
(8)
3
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