m
2
g ¼
ħ Á
ffiffiffi ffi
Λ
p
c
2
%
ħ
2
c 2
À V 0
3γ À 1 þ 2N þ
γÁ 3γÀ1
ð
Þ
8πGÁ~ t
2
h
i
1
κ
Z ffiffiffiffiffiffi ffi
Àg
p Á d
3 x
þ 6 Á
€ a
a
þ
_
a
a
2
! !
t¼e t
2
6
6
4
3
7
7
5
e t¼t Planck
ð
Þ
ð3:8Þ
Our next step is to review the input of parameters which may affect Eq. (3.10). To
do so we consider a multi universe generalization of the CCC as given below. This is
done specifically to kill off references to the anthropic principle as far as Eq. (3.8)
(Barrow and Tipler 1988).
3.5 Reviewing Multiverse Generalization of the CCC
of Penrose, and How This Relates to Beckwith’s (2018)
Conclusions
We are extending Penrose’s suggestion of cyclic universes, black hole evaporation,
and the embedding structure our universe is contained within. The following is
largely taken from Beckwith (2014, 2018) and Penrose (2011) and has relevance to
the final part of the conclusion. That there are no fewer than N(Penrose style ccc)
universes undergoing Penrose “infinite expansion” (Penrose) (Beckwith 2014, 2018;
Penrose 2011) contained in a mega universe structure. Furthermore, each of the N
(Penrose style ccc) universes has black hole evaporation, with the Hawking radiation
from decaying black holes. If each of the N(Penrose style ccc) universes is defined by
a partition function, called Ξ i
f g
i1
iN , then there exist an information ensemble of
mixed minimum information correlated as about 10
7
À 10
8 bits of information per
partition function in the set Ξ i
f g
i1
iN
before
, so minimum information is conserved
between a set of partition functions per universe
Ξ i
f g
i1
iN
before
Ξ i
f g
i1
iN
after
ð3:9Þ
However, there is non-uniqueness of information put into each partition function
Ξ i
f g
i1
iN . Furthermore, Hawking radiation from the black holes is collated via a
strange attractor collection in the mega universe structure to form a new big bang for
each of the N (Penrose CCC style) universes represented by Ξ i
f g
i1
iN . The n f value
will be using Ng (2008) S entropy ~n f (Beckwith 2014, 2018; Ng 2008). This assumes
an energy expression as given by Beckwith (2014, 2018) and Poplawski (2011) and
as by Beckwith (2018) will be an energy conservation equation before and right after
the big bang, for the structure of our local universe, so formed in our modified CCC
argument. Then the following holds (Beckwith 2014, 2018; Penrose 2011),
3 Using “Enhanced Quantization” to Bound the Cosmological Constant, (for a. . .
25
2
g ¼
ħ Á
ffiffiffi ffi
Λ
p
c
2
%
ħ
2
c 2
À V 0
3γ À 1 þ 2N þ
γÁ 3γÀ1
ð
Þ
8πGÁ~ t
2
h
i
1
κ
Z ffiffiffiffiffiffi ffi
Àg
p Á d
3 x
þ 6 Á
€ a
a
þ
_
a
a
2
! !
t¼e t
2
6
6
4
3
7
7
5
e t¼t Planck
ð
Þ
ð3:8Þ
Our next step is to review the input of parameters which may affect Eq. (3.10). To
do so we consider a multi universe generalization of the CCC as given below. This is
done specifically to kill off references to the anthropic principle as far as Eq. (3.8)
(Barrow and Tipler 1988).
3.5 Reviewing Multiverse Generalization of the CCC
of Penrose, and How This Relates to Beckwith’s (2018)
Conclusions
We are extending Penrose’s suggestion of cyclic universes, black hole evaporation,
and the embedding structure our universe is contained within. The following is
largely taken from Beckwith (2014, 2018) and Penrose (2011) and has relevance to
the final part of the conclusion. That there are no fewer than N(Penrose style ccc)
universes undergoing Penrose “infinite expansion” (Penrose) (Beckwith 2014, 2018;
Penrose 2011) contained in a mega universe structure. Furthermore, each of the N
(Penrose style ccc) universes has black hole evaporation, with the Hawking radiation
from decaying black holes. If each of the N(Penrose style ccc) universes is defined by
a partition function, called Ξ i
f g
i1
iN , then there exist an information ensemble of
mixed minimum information correlated as about 10
7
À 10
8 bits of information per
partition function in the set Ξ i
f g
i1
iN
before
, so minimum information is conserved
between a set of partition functions per universe
Ξ i
f g
i1
iN
before
Ξ i
f g
i1
iN
after
ð3:9Þ
However, there is non-uniqueness of information put into each partition function
Ξ i
f g
i1
iN . Furthermore, Hawking radiation from the black holes is collated via a
strange attractor collection in the mega universe structure to form a new big bang for
each of the N (Penrose CCC style) universes represented by Ξ i
f g
i1
iN . The n f value
will be using Ng (2008) S entropy ~n f (Beckwith 2014, 2018; Ng 2008). This assumes
an energy expression as given by Beckwith (2014, 2018) and Poplawski (2011) and
as by Beckwith (2018) will be an energy conservation equation before and right after
the big bang, for the structure of our local universe, so formed in our modified CCC
argument. Then the following holds (Beckwith 2014, 2018; Penrose 2011),
3 Using “Enhanced Quantization” to Bound the Cosmological Constant, (for a. . .
25