Doubly-Pe iodic A mosphe ic Powe Plan s
O o Ziep
*Independen Schola , Be lin, 13089, Ge many.
Co esponding au ho (s). E-mail(s): [email p o ec ed];
Abs ac
A cosmic- ay-cha ge-cloud -supe luid cools a mosphe e by a ce ain amoun o
newly c ea ed ma e nea ze os o ac al holomo ph xi- and sigma unc ion.
A quad a ic model compensa es posi i e ene gy o molecules mainly by da k,
complex phan om ene gy and negligible ion ene gy. A p oposed doubly-pe iodic
powe plan eplaces one-pe iodic cycles in o de o gain cooling ene gy a mini-
mum amoun o ene gy. C ea ed ma e is a ze o-ene gy s a e o biomass and da k
ene gy which is capable o compos in o a ze o-ene gy s a e. Doubly-pe iodic p o-
cessed acuum ene gy is a non-s a iona y ene gy s a e o a complex Lag angian
lowe han ha o a physical eal ield.
Keywo ds: in o ma ion densi y uni e se, doubly-pe iodic p ocessing, ellip ic
in olu ion, b ea hing modes, a mosphe ic powe plan , bi u ca ion, one-dimensional
chao ic map
1 In oduc ion
The p esen pape desc ibes he echnology and he algo i hm o an in o ma ion
densi y uni e se. Ra ional coo dina es xµand en opy cu en densi ies jea e like
add esses in a compu e memo y. The quad a ic map dese es a en ion as a minimal
egula map and a maximal egula map. Consecu i e γ◦zc ea e bina y in a ian s
(ωk) and la ice pe iods δωkwi h complex mul iplica ion (CM) o i e a ed ellip ic
cu es [1]. I e a ed holomo ph bina y
(ω)=( 1
2) = dx +idy
dz −d =σµdxµ
ds
in C∞allow a s e eog aphic holomo phic- me omo phic p ojec ion o Riemann sphe e
1
wi h Pauli ma ices σmu. A a ional mean symplec ic (ω)-subse a e Minkowski
coo dina es whe e eloci y o ligh c s ands o maximally chao ic i e a es which a e
simples cycles. A complex subse con ains one-dimensional γchao ic cu en s wi hin
a ac al ze a uni e se (FZU). A la ge numbe hypo hesis (LNH) co ela es low and
high ene gies and dimensions [2,3]. As shown in Sec ion 2in a ian (ω) is con o -
mal s ess-ene gy which o e s a echnological applica ion desc ibed in Sec ion 3. The
10∞zoom gauge coupling p edic s con inuous c ea ion o ma e in FZU and lowe
acuum densi ies. The p esen pape p oposes a labo a o y o es gene a ion o newly
gene a ed ma e in FZU which is called doubly-pe iodic a mosphe ic powe plan
(DPAPP). Up o now powe plan s p ocess subsequen one-pe iodic cycles. Iso he mal
and isen opic Ca no p ocesses a e e.g. consecu i e one-pe iodic cycles con e ing ac-
uum ene gy ρ ac o one-pe iodic ine ial sys ems in Minkowski space ime. In quan um
s a is ics ρ ac a e one-pe iodic ze o-poin oscilla ions ρ ac(QS) o pe iods 11/m whe e
ρ ac(QS)≃1050−20ρ ac(GR).
ρ ac(GR) in gene al ela i i y is con i med by expe imen . This cosmological con-
s an p oblem (CCP) is esol able by uni ied ields wi h ellip ic in olu ion in an open
FZU whe eas laws o he modynamics apply o closed sys ems [4]. The p esen pape
desc ibes a echnology o ob ain lowe local alues ρ ac < ρ ac(GR) by b ea hing
ac ing doubly- pe iodic on a bi u ca ing po en ial low. FZU allows local b ea hing
modes as quasi-s a iona y acua o ex ac hea ene gy in Sec ion 3. Local c e-
a ion o ma e is analogous o a b ea hing p ocess o li ing beings. This local Big
Bang-Big Rip scena io would p e e en ially c ea e molecules H2Oand CO2[4]. Ene -
gies compa able o he Planck ene gy Mpa e de ec able by e.g. ligh ning ene gy o
1GJ ≃10−5g≃0.5Mp≃1028 eV . The p esen heo y o ligh ning is ha opposi e
cha ges (posi i e and nega i e) accumula e in di e en egions. A ligh ning po en-
ial b eakdown discha ge occu s i an accumula ing one-pe iodic elec ical po en ial
up o 105−108Vin a hunde cloud exceeds he insula ing capaci y o he ai , caus-
ing a apid, massi e discha ge o elec ici y known as a ligh ning lash. This heo y
is ex ended o e es ial gamma ay lashes and cosmic ays (CR) [5]. Recen ly
epo ed e idence indica es appa en igni ion o ligh ning by cosmic- ay showe s o
om an a alanche o elec ons seeded by ex a e es ial cosmic ays [5]. Analogous o
CR-ligh ning coupling FZU is capable o s o e da k exis ing ene gy as complex da k
ma e o i e uni ied ields ins ead o elec omagne ic pola iza ion induced by clouds.
A FZU cosmic- ay-cha ged-cloud supe luid (CRCCS) s o es uni ied ene gy in a non-
u bulen open sys em. T opical egions wi h highes ligh ning a es limi DPAPP
p ocessing empe a u es o abou 50
°
C in o de o a oid ligh ning which would dis-
cha ge he CRCCS- a mosphe ic capaci o . E e y s a iona y poin is su ounded by a
h ee-componen doubly-pe iodic s able s a e in Sec ion 4. Theo y and expe imen o
he open FZU sys em is ske ched in Sec ion 2and 3. Topological en opy a ia ion by
al i ude is supe imposed by la e al empe a u e g adien s. Al eady mode a e empe -
a u e g adien s a e suspec ed o induce a bi u ca ing space ime (BST) gi ing complex
non-de ec able ene gies [6] [7]. Non-de ec able pa icles a e iewed as complex da k
acuum ene gy. A Planck ene gy can be s o ed pe manen ly as a doubly-pe iodic cycle
by a oiding u bulences. DPAPP es s he abili y o gene a e lowe acuum ene gy
2
densi y by doubly-pe iodic p ocesses by ‘c ea io ex nihilo’ o a ce ain amoun in CR,
a mosphe ic clouds and pho osyn hesis in [4]. Cloud mo ion, plan g ow h (pho o-
syn hesis) and CR a e uni ed by egula chao ic i e a es o complex BST- cu a u e
(ω) nea simple ze os zn [4]. Sec ion 6con i ms a cloud adia i e o cing igge ed
by nega i e phan om da k ene gy.
2 A mosphe e- an algo i hmic chao ic RC ci cui
FZU- acuum ene gy is ac al. Low i e a ed k-componen s is iden i ied as ul a-high
ene gies abo e he de ec ion limi which is known as he GZK cu o . The s ep k=0
is abo e he de ec ion limi . Ea h
'
s a mosphe e is iewed as being desc ibable by an
en i e anscenden , smoo h one-dimensional complex unc ion ela ed holomo phic-
me omo phic o Riemann sphe e in a iable z=h+il o al i ude h and la i ude l in
angen ial plane. The Weie s ass sigma unc ion σ(z) = −∂jσ(z)
∂z o ξ- unc ion ξ(z) =
−∂jξ(z)
∂z o he Riemann ze a unc ion ζ(z) ep esen s a quan um Hall opology (QHT)
[8] [9]. QHT dynamical a iables a e non-analy ic po en ial low lines
ϕσ(x, y), ϕξ(x, y) : ϕσ(x, y) = jσ(z) + ¯
jσ(¯
z)
whe eas ∂zσ(z) depend on ∂2
zσ(z) and ∂g2,3σ(z) QHT yields he Laplace equa ion
∂z∂¯zσ(z) = 0. CRCCS is non- u bulen on oscula ion planes o a wis ed cubic C w
in space. The hype ellip ic Kumme su ace K(X( )) is pa ame ized by a quad a ic
He mi e-Tschi nhausen p ocess z←F( , z)≃γ◦z. Ellip ic and hype ellip ic
'
cu en
densi ies
'
jσo jξa e hough as a low in an a mosphe ic sphe ical capaci o ci cui
jσ=dZdzσ(z) = d(Q
C) = 1
4πεε0
(1
R++ −1
R+−
+1
R−+−1
R−−
) (1)
wi h wo capaci o s ipes zn =±1
2±imn o non i ial ze os ξ(zn ) = 0 o σ(zn ). A
quad upole enso d(Q
C) o complex conjuga es ξ(z),¯
ξ(z), ξ(¯
z),¯
ξ(¯
z) depends on ou
adii R±± c ea ing a momen o ine ia. Va iable z, he Legend e module λand he
Webe in a ian (ω) a e in e ela ed. K(X( )) poin s a e hype ellip ic ℘- unc ions
pa ame ized by = (ω)
X( ) = (1,− , 2,1) = (℘±±,1) ≃ {jσ(u±, u±},1) ≃(T++, T+−, T−−,1) (2)
Like ξ(z) he sigma unc ion is en i e and allows a Cayley quo ien .
σ(u±) = −∂jσ(u±)
∂u±→ −∆jσ(u±)
∆u±
The disc e e ℘- unc ion in (2) ansmi s o a Schwa zian de i a i e {jσ(u±), u±}as
con o mal s ess-ene gy T±± whe e
{F( , z), z}= 6∂z∂z′ln∆F
∆z(3)
3
Poin s on C w o K(X) a e -pa ame ized ze os o
σ(u±)σ( ±)) ≃ζ(z)ζ(z′)≃X( )⊗X( ) = 0 (4)
which is quad a ic in s ess-ene gy T(u±)[T(z)] which allows quad a ic -i e a es o
σ(u±) in (4). Like a holomo phic-me omo phic ansi ion dxµ( ) s eps k+ 1 and k
a e in olu e, i.e. (ωk+1) (ωk)≃cons . I (ωk) is di usi e, (ωk+1) is d i ing which
equi es o map ζ(z) ze os o i s poles. esζ(z), he esiduum o ζ(z) is p opo ional
o he egula o R(K) = logEν. I s exponen ial map allows o in oduce a complex
Lag angian L[ν] o uni s Eνwi h equency νo a numbe ield K
R(K)≃eRdν[ (ω)]log (ω)≃eRdν[ (ω)]L(ν[ (ω)]) (5)
The ideal esiduum esζ(z) = 1 co esponds o an in ini e se ν. Residua o he
Dedekind ze a unc ion ζ(z, K) a e used o map σ(u) ze os o op imal egula o
alues. ξ(z)-ze os zn di e om σ(u) by eplacing he mass mnin zn by ω≃√∆
wi h disc iminan ∆ and pe o ming a mul iplica ion o e la ice s ipes. Eqs. (2) and
(4) p o e ha (ωk) uni ies cu a u e, ime and empe a u e. I e a es (ωk+1)←
γ◦ (ωk) is chao ic i {F( , z), z}<0. γ◦ (ω) is ela ed o a ional coo dina es by
holomo phic unc ions om Riemann sphe e and me omo phic unc ions om complex
plane. I e a es k→k+ 1 is en angled and dynamical in FZU [10]. Acco dingly,
Minkowski space ime is a mean ield whe e ime is quad upola , he scale ac o (10)
and de i a i es ∂zis d i -di usi e. This dualism maps di usion coe icien D o he
eloci y o ligh c
D=1=(∆u)2
ω→(∆u)2
ω2+c→(∆u)2
(∆ω)2→c2(6)
S able o bi ing laps and Lo en z-in a ian a e compa ible o (ω)=( 1
2)
γ→γeFµν [γµ,γν]→γeiσz (7)
whe e de eFµν [γµ,γν]= 1 wi h Di ac ma ices γµ, skew Fµν is equi alen o complex
ωk+1 →ω2
k+c. Simples γ-cycles w i en o he d i -di usion e m ∆ = (γ−
1) ◦ as γ◦γ=γp o e ha squa ed in a ian s a e coo dina es. A quad a ic map
con ains al e na ely coo dina es. Fo luc ua ing la ice pe iods ωcoo dina es in space
a e a ached o oscula ing planes and s a iona y poin s. Weie s ass ze a unc ion
ζ(u, ωk) in ∆ i=Pj=1,..,4cij∆ζ(uj−u0, ωk), i=1,2,3 equi e ou poin s j= 1,···,4
[11]. Complex ime δ →δ 2in (5) is ela ed o addi i e c ea ion o ma e → 2in
LNH [3]. Addi ion on ellip ic cu es se s leng hs δz equi alen o a eas δz2modulo a
cubic in a ian ϕ3(δz). A cubic cong uence δz mod ϕ3(δz)≃δz2≃δz−1quali ies a
quad a ic map as in olu ion. Bi u ca ing chao ic line segmen s dlxy ∈z=h+il s o e
4
he mal ene gy ≃ϑ2(uk=akωk, ωk) and d i in a global empe a u e po en ial
VTglobal (z) = Z∇VTcloud dlxy (8)
whe e dlxy a e geome ic ze a unc ion sequences. In quan um s a is ics kinema ic
empe a u e Tkin is eal mean ene gy Ekin, i.e. Tkin is one-pe iodic. Complex Ekin
is collisional damping and. In CRCCS complex ene gy is o he o de o es mass,
i.e. bo h ene gy ( ime) and empe a u e a e independen doubly-pe iodic complex
quan i ies o a supe luid low. App oxima ing dlxy in (8) by s aigh lines be ween
zn is mul iplying by a cha ge e. I is claimed ha VTglobal (z) go e ns ime- he mal
cycles in a mosphe e, biosphe e and geosphe e which can be w i en as a d i -di usion
po en ial
VTglobal (z) = T+µn[#zn ] (9)
The numbe o ze os n[#zn ] wi h Lag ange pa ame e µapplies o c ea ed cha ge
pai s, i.e. CR, o ganic ae osols, pho osyn hesis and ege a ional ai ions [4].
3 B ea hing DPAPP
A Ca no p ocess is a hin ec angle o leng h →ak a e sed by he numbe o cycles
k. In dis inc ion doubly-pe iodic complex empe a u e and en opy is ul a-high com-
plex ene gy o i e a ed ←γ◦ wi h deg( )=22k. An open sys em CRCCS DPAPP
con ains al eady an amoun o ma e wi h highes in o ma ion densi ies, e.g. plan
b anching and a mosphe ic- gaseous-liquid-solid slush a ound he iple poin o wa e
(TPW). Ins ead o one-pe iodic elec omagne ic nonequilib ium a i icial pho osyn-
hesis a doubly-pe iodic p ocess is p oposed wi h complex oscilla ions o empe a u e
and en opy. Al eady p ocessing by empe a u e g adien s o 101···102
°
Kon luc u-
a ing ime- he mal con ou s should c ea e complex a ini e ρda k. A es o his model
is ha he densi y o ionized pa icles changes. DPAPP is based on a complex con ou
o a supe luid low po en ial (8) and (9) wi hou u bulences. Seasons a e simula ed
changing opological en opy δh by al i ude δh. Simul aneous empe a u e g adien s
T(z) induced e.g. changing adia ion equency and in ensi y in a ying di ec ions on
complex plane a e suspec ed o induce BST and CR. A luc ua ing con ou δT δS < 0
eplaces a Ca no p ocess ec angle. Ins ead o pla es and con ac s o he a mosphe ic
capaci o DPAPP a Ca no ba e y he mal ene gy s o age (TES) and he mal o
powe (T2P) a e p oposed o con ol a cooling by phan om ene gy ρda k as ske ched
in Figu e 1.
5
Fig. 1 B ea hing mode o DPAPP wi h d i -di using doubly-pe iodic Ca no p ocess. Lowe kine ic
ene gy Ekin is in in e sion o highe empe a u e T a g ound le el
On a closed pa h be ween a mosphe e and g ound le el a po en ial di e ence
Va−Vgis gene a ed i a ce ain amoun o ma e is c ea ed which is igge ed by
exis ing ma e . The enci cled a ea by b anches he e ical z-plane in o a ee o
chao ic low lines. Wi hin FZU i e in e ac ion pa icipa e. DPAPP ope a es as a s a-
is ical zoom by 1020 ≃226compa able o he A ogad o cons an . Quad a ic o ces in
ρmin (4),(12),(3) o e whelm a es mass h eshold which a o s s a is ically o ganic
molecules. Season-dependen DPAPP Big Bang -Big Rip p ocesses c ea e molecules
(disc iminan s [4]) consis ing o a oms H, C, O, N [4]. This eal ma e ρmis com-
pensa ed by complex da k ma e ρda k. C ea ed ma e is accompanied by complex
phan om ene gy which induces cooling in DPAPP by a p oduc o low coun a e jda k
and high ene gy Eda k. DPAPP igge a e exis ing bi u ca ing low lines which a e
ealized a lan g ow h and nea TPW which equi e low empe a u e g adien s o 102
°
K. Acco dingly, ±50
°
Ka ound 0
°
Ccould induce ul ahigh CR ene gies and ρion
e en a g ound le el [6].
4 En angled h ee-componen ma e
The algo i hm is easy o unde s and by non-s a iona y dis o ed con ou ins ead o a
cons an empe a u e ec angle wi h modula uni ϑ2(u=aω, ω) o ωkwi h a ional
a= (a1, a2) in uni e sal co e ing u. CR is unde s andable by he a cons an sou ces
[4]. Complex ene gies a e iden i ied wi h ρda k whe e ac ional γc ea e singula i ies
a each second s ep. The expe imen al a mosphe ic empe a u e g adien is S-shaped:
6
The a e a which empe a u e changes wi h al i ude has nega i e di e en ial b anches
which con i ms cubic (ω). Acco ding o (4) a iable (ω) i e a es he hype ellip ic
unc ion ℘±± i.e. s ess-ene gy. The unde de e mined complex Lag angian L(ν[ (ω)])
has an in ini y o leas squa es solu ions as a b anching ee o doubly-pe iodic ν[ (ω)].
In na u al science he doubly-pe iodic minimum is seasonal plan g ow h and bi h o
li ings being. A eal minimum L(ν[ (ω)]) = 0 yields egula o index R(K) = 1. This
co esponds o imagina y quad a ic ields o no m ¯
= 1 which a e used in physical
ield heo y. A pu e cubic case R(K)≥1 is no p e e ed. Cyclo omic ex ensions o
yield local minima R(K) yield in ini ely many local minima R(K)≪1 abo e he heo-
e ical lowes achie able alue ρ ac = 0 [12]. Fo quasi-s a iona y cyclo omic s a es o
a complex Lag angian wi h lowe acuum ene gy densi y Minkowski space ime is he
eal hull due o D= 1 o all i e a ions. The claim ha local L(ν[ (ω)]) minima a e
cha ge quan a in non i ial ze os zn o holomo phic unc ions ξ(zn ) = 0 o σ(u±)=0
as solu ions o (4) can be es ed by measu ing a small amoun o δρion.σ(u±)=0
o ∆hσ(z) = 0 allows γ◦zo γ◦uand γ◦ξo γ◦σ(u) wi h hype bolic Laplacian
∆h. An algeb aic map γb anches in o he in ini y o s able o bi ing laps ( ion pai s
) and uns able bi u ca ing k-componen s ( CR ) [12]. Odd k-componen s and e en
k- componen s yield di usi e (ωk) and d i ing λ(ωk) cha ges, al e na ely. S able
laps as oscilla ions o he Lyapuno - exponen λLa ound ze o yield he Lag angian
L(ν[ (ω)]) ≃ {F, z}=L(F, ˙
F, ¨
F, ...
F) in (3),(4) and (5). The disc e e γ-in a ian
de i a i e al eady con ains he d i -di usion scale ac o R≃zk+1 −zk
˙
F=∂zF=R=
22k
Y
i=1
˙
Fi=eλL(10)
ρ ac(GR) can be clasiie by he F iedmann solu ion wi h Lag angian L=R˙
R2−
ϕ3(R) and polynomial
VTglobal ≃ϕ3(z=ϕ2k) (11)
(11) is cubic whene e he Feigenbaum eno malized i e a ed deg ee 2kpolynomial
ϕ2kmee s cubic oo s. Ene gies o k-componen s should ollow a 1/22klaw. Eq. (4) is
quad a ic in ρ ac e.g. δmδm´
≃0
αm2
++βm+m−+γm2
−= 0 (12)
Masses m±i sel a e (ω)- quad a ic due o 4. Hype ellip ic based coe icien s a e
in ege (αβγ) = (1,−136,10) which eco e an elec on - o-p o on mass a io up o
p ecision o 10−3[13]. Masses m±≃ (ω), 2(ω) a e ela ed o he a eal densi y ρ es o
esidua o i e a ed (ωk). Op imized alues ρ es allow o e ine (12) and he conjec u e
abou he ine s uc u e cons an α−1
≃2πδF[14]. Up o second o de L(ν[ (ω)] has
h ee-componen s 1, ∂zand ∂z∂z′ac ing on logE: (i) eal ma e ρm≃log (ω) (ii)
ine d i -di usion ields (∂zlog = 0) wi h eal ions ρion (iii) complex da k ma e
ρda k in L(F, ˙
F, ¨
F, ...
F)≃ {F( , z), z}as ske ched in Figu e 2.
ρ ac ≃ρm+ρion +ρda k ≃0 (13)
7
A squa e in ρ ac in 4is limi ed by he iden i y ϑ4
[00] =ϑ4
[01] +ϑ4
[10]. The eal
densi y ρm=ρ +ρexc, dW is a sum o es mass ρ , exci onic binding ene gy and
quad a ic an de Waals in e ac ion ρexc, dW which is (3)ρm≃T( )≃∂ ∂ ′ln∆F
∆
. The scale ac o and ∆F
∆ ≃K(λ) is a p oduc o he a cons an s ela ed o qua e
pe iods K(λ) [15]. The di e en ial equa ion o K(λ) a local wa e unc ion He mi e
polynomial wi h equency νn. Then, ρm=Pn1
2νna e ze o-poin oscilla ions. Res
masses ρ a e s able i e a es o he Big Bang-Big Rip solu ion o nine disc iminan s
∆ educing o a φ3. The in e se Fe mion G een
'
s unc ion G−1in quan um s a is ics
is ela ed o F( , z) = γ◦zin [2].
Fig. 2 Real and complex ene gies wi hin a BST-en i onmen , a iable R is he adius o an appa en
singula i y (cha ge, uni e se) a iable z is cu a u e, ρion con ains CR [4]
5 Ellip ic in olu ion and a ious acuum ene gy
minima
I e a ed complex uni ied ields desc ibe a supe luid s a e o an open uni e se whe e
sel -o ganiza ion in dissipa i e s uc u es occu s o closed subsys ems, e.g. DPAPP.
The claim is ha doubly-pe iodic p ocessed uni ied ields a e capable o exhibi local
minima o acuum ene gy densi y. The k-i e a ed Legend e module λ=1
2+¯
ψλmψ
m
en e s FZU as a ou -componen Di ac cu en [6] [15] [4] . FZU is an i e a ed
po en ial low whe e acuum densi y ρ ac[{F, z}, λ] depends on ellip ic in olu ion
i(λ)=1−λwhich sol es he longs anding CCP [12] [10]. I e a ion s eps
γ(ϕ3( (√∆)) ◦z=F( , z) wi h change pe iods ω ia disc iminan s ∆ and yield
a Gaussian-like di usion p ocess like measu ed CR. Quad a ic ans o med pe iods
(1−1
1 1 )ωobey in olu ion (ω′) = √2/ (ω) . Equi alen pe iods (1 0
0 1)ω, (0−1
1 0 )ωobey
in a iances λ→i(λ),1/λ, 1/i(λ),1−1/λ, −λ/i(λ) which a e
(1 −λi(λ))3/(λi(λ))2=cons (14)
Ellip ic in olu ion unde cu s a gi en acuum ene gy in a ac al DPAPP as a
non-local co ela ion be ween low and high alues o dimensionless ene gy densi y.
8
Fo ene gy densi y ρco e ≃101gcm−3a g ound le el and a ρ ac ≃10−31 gcm−3
a mosphe ic le el CR ai showe mo ing wi h eloci y o ligh a e co ela ed wi h slow
plan g ow [4]. The densi y in FZU is like ha o a black hole densi y which is no
a well-de ined [2] [15] . This unce ain y in densi y enables a con inuous c ea ion o
ma e in holomo phic en i onmen nea ze os o ξ(z) o σ(z) which is equi alen o
QHT.
6 Plan g ow h, Ai ions and Cooling in A mosphe e
Measu ed ion luxes 2 o 20 −30 ≃cm−3s−1ion-pai s a a mosphe ic o g ound le el
yield simula ed and measu ed concen a ions o abou 105cm−3[16,17] which a e
negligible ρion o abou 10−11kW h ·cm−3in (13). A cloud- adia i e o cing a mo-
sphe ic cooling is a ibu ed o cloud co e changes. A CRCCS a mosphe ic cooling
is a ibu ed o phan om ene gy ρda k which compensa es c ea ed es mass ρm. OMG
ene gy 1021 eV a GZK cu o o he Planck ene gy Mp≃10−5g≃1028 eV con en o
a ligh ning is equi alen o hea o cool 12 gwa e o an a mosphe ic cloud o 5˙
108g
by 1
°
K. Phan om da k ma e ρda k is claimed as a he modynamic cooling e ec .
Ligh ning consis o 5 −15 Coulomb which a e up o 1030 cha ge quan a, i.e. #zn in
CRCCS. Acco dingly, a minimal gene a ed ma e o 10−5gis capable o induce a
s ong ene gy e ec el as cooling wi hin DPAPP. As a esul , one has he ela ions
ρion ≪ρda k,ρmand ρda k ≃ −ρm. Vacuum ene gies ρ ac(GR), ρ ac(QS) mainly spli
in o posi i e and nega i e pa s ρm,ρion,ρda k which would be capable o explain he
Di ac Sea. The DPAPP ene gy gain δρda k is achie ed by a ce ain amoun o c ea ed
o ganic ma e which lowe s ρda k. In dis inc ion o he CRCCS gain δρda k p esen
bioene gy ex ac s ene gy om he exci onic binding ene gy δρexc, dW . In dis inc ion
o ion-ae osol clea -sky mechanism o condensa ion nuclei h ough cloud b igh ness
and co e he CRCCS-cooling e ec in VTglobal (z) is due o complex ma e ρda k.
Wi hin CRCCS ze os ξ(z) = 0 gene a e compensa ing nega i e phan om ene gy ρda k
and posi i e la ge es mass ene gy. Compos ing wi hin ξ(z) = 0 s a es (4) makes he
cooling e ec disappea [18] [19] [20].
7 Conclusions
A doubly-pe iodic p ocessing a pho osyn hesis would be simul aneous one-pe iodic
cycles o complex ene gy/ ime supe imposed by one-pe iodic cycles o complex
en opy/ empe a u e. Ins ead o being an exo ic s a e o ma e i is a b ea hing
by g owing plan s and li ings being. Mos powe plan s p ocess consecu i ely one-
pe iodic. A luc ua ing complex ime- he mal con ou p ocess is capable o achie e a
ela i e lowe acuum densi y. Ranges o measu ed acuum densi y a y om gene al
ela i is ic alues ρ ac ≃1eV ·cm−3, ρ ac(CMB)≃0,26 eV ·cm−3, ρ ac(s a )≃
0,3eV ·cm−3which a e o a g ound le el. Theo y o he CCP ρ ac(QS)≃
1050−20, ρ ac(GR) indica es he alidi y o ellip ic in olu ion. CRCCS is based on
complex phan om da k ene gy ρda k o he o de es ene gy o a molecule bu wi h
opposi e sign which would be s o ed in a DPAPP. DPAPP p ocessing as b ea hing
wo ks on he backg ound o exis ing b anching and ami ica ion in clouds and plan
9
