435
n
p
n p
n
p
n p
b
b
f
f
−
( )= − + ( )
−
( )= − ( )
1
1
,
,
(21.57)
where n(p) ≡ 1/[eβ(p + μ) ∓ 1] is the definite antiparticle function; thus, the variable
A(p || , k) in this interval can be expressed by
A p k
n k p n p
p k p
n k p n p
p k
,
scalars
b
b
f
f
( ) ≡
−
(
) ( )
−
(
)
−
(
) ( )
2
2
,
,
− −
(
)
+ −
(
)
p
p
k p
2
2
2 ,
,
fermions
(21.58)
Thus, the energy E p of a hard quark with momentum |p| is explicitly given by
E
p m
p
m
p
p
p m
p
p =
+
+
+
+
∞
∞
⊥
∞
2
2
2
2
2
2
2
,
(21.59)
Here the asymptotic thermal “mass” is
m
C g T
∞ =
2
2 2
4
f
.
(21.60)
Substituting the explicit form of E p into definition (21.60), it is thus expressed as
δ E
p m
k
p k p
=
+
+
(
)
⊥
∞
2
2
2
.
(21.61)
In the above, it has been derived from the explicit forms of Eqs. (21.52) and
(21.55). Figure 21.6 shows the leading-order heating photoemission rates that maximize the heating photon generation into the given electron time of flight of the
heating-state photons on the earth surface plane to heat the earth naturally at a comfort level.
Conclusions
Due to the climate change, the enormous fluctuation of global temperature on the
earth surface throughout the year is indeed an alarming danger since it creates
uncomfortable thermal dynamics on the earth surface for all living beings against
their comfortable life. Strikingly, this theory revealed a mechanism to deform the
solar photons into cool-state photons (HcP
−
) by integrating the Bose-Einstein (B-E)
Results and Discussion
n
p
n p
n
p
n p
b
b
f
f
−
( )= − + ( )
−
( )= − ( )
1
1
,
,
(21.57)
where n(p) ≡ 1/[eβ(p + μ) ∓ 1] is the definite antiparticle function; thus, the variable
A(p || , k) in this interval can be expressed by
A p k
n k p n p
p k p
n k p n p
p k
,
scalars
b
b
f
f
( ) ≡
−
(
) ( )
−
(
)
−
(
) ( )
2
2
,
,
− −
(
)
+ −
(
)
p
p
k p
2
2
2 ,
,
fermions
(21.58)
Thus, the energy E p of a hard quark with momentum |p| is explicitly given by
E
p m
p
m
p
p
p m
p
p =
+
+
+
+
∞
∞
⊥
∞
2
2
2
2
2
2
2
,
(21.59)
Here the asymptotic thermal “mass” is
m
C g T
∞ =
2
2 2
4
f
.
(21.60)
Substituting the explicit form of E p into definition (21.60), it is thus expressed as
δ E
p m
k
p k p
=
+
+
(
)
⊥
∞
2
2
2
.
(21.61)
In the above, it has been derived from the explicit forms of Eqs. (21.52) and
(21.55). Figure 21.6 shows the leading-order heating photoemission rates that maximize the heating photon generation into the given electron time of flight of the
heating-state photons on the earth surface plane to heat the earth naturally at a comfort level.
Conclusions
Due to the climate change, the enormous fluctuation of global temperature on the
earth surface throughout the year is indeed an alarming danger since it creates
uncomfortable thermal dynamics on the earth surface for all living beings against
their comfortable life. Strikingly, this theory revealed a mechanism to deform the
solar photons into cool-state photons (HcP
−
) by integrating the Bose-Einstein (B-E)
Results and Discussion