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信息引力 论的验证 Test the origin of gravity as an entropy force. 程曜 清华大学工程物理系 2010,March. Newton. 理性力学. 牛顿 1643-1727 图 : 维基百科. http://www.studio-ylin.com/cambridge/DSC06002.jpg. Einstein. 爱因斯坦 1879-1955 图 : 维基百科. 等效原理 : 重力弯曲空间 图 : 维基百科. Erik P. Verlinde. 重力由信息产生 - PowerPoint PPT Presentation
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信息引力论的验证Test the origin of gravity as an entropy force
程曜清华大学工程物理系2010,March
Newton
http://www.studio-ylin.com/cambridge/DSC06002.jpg.牛顿 1643-1727图 :维基百科
21 2
2 2
mmd xF ma m F Gdt R
理性力学
Einstein
爱因斯坦 1879-1955图 :维基百科 等效原理 :重力弯曲空间图 :维基百科
21 2
2 2
4
8
mmd xF ma m F Gdt R
GG g Tc
Erik P. Verlinde
Erik P Verlinde 1962-图 :Guus Dubbelman / de Volkskrant重力由信息产生http://plus.maths.org/issue51/features/maldacena/HologramIllustration_small.jpg
22BdS SF ma T kdx N c
J0806.3+1527
Binary white dwarfs 50,000 miles apart orbiting with period of 321sRight ascension: 08h 06m 23.20s, Declination: +15° 27' 30.20"Distance: 1600 light years, Mass: 0.5 (primary) / 0.5 (b) M ☉Frequency 0.374 min-1, GW amplitude 10-21
http://chandra.harvard.edu/photo/2005/j0806/
n
p+
n
Ground stateGround state
Long-lived isomeric state
(, ’) processLong-lived Emission
Cascade Decay
Bremsstrahlung
De-excitation process should provide isotropic emission
Long-lived Mössbauer Photon
Experimental Procedure
Dependence on ExposureI
II
III
Phase transition of collective mode
Cooling Effect
Mollow TripletStrong coupling between photon and nuclei
f
i R
R
RR
kink
Rabi frequencyR 430 eV
1. Resonance2. Strong field
• Localization• Translational symmetry breaking
3. Macroscopic coherence• Macroscopic polarization• Rotational symmetry breaking
4. Irreversible nonlinear increase• Trapped collective mode
5. Phase transition
Anomalous Emissions of 103mRh
Typical spectral profile of 103mRh emissions measured by the HPGe detector. 1: unknown 2: escapes of K lines, 3: K lines, 4: K lines, 5: escapes of , 6: pile-ups between K lines and their escapes, 7: , 8: pile-ups of K lines.
Rh K edge
f
i
k
Cascade decay
Anomalous Peaks
Rotational symmetry breakingGoldstone mode19.8 8keV=1/2(39.76 keV)
Anomalous Emissions of 93mNb
Typical spectral profile of 93mNb emissions measured by the Si detector. 1: unknown 2: Zr K lines, 3: Nb K lines, 4: Zr K lines, 5: Nb K lines, 6: unknown.
f
i
k1 2
3
45
6
Ei-Ef=30.8 keV
Anomalous Emissions of 93mNb
f
i
k
Massive Goldstone mode15.4 keV=1/2(30.8 keV)
Ei-Ef=30.8 keV
Cascade Decay in Cavity
Atom-field coupling
f
i
Two-level atomwith forbidden transitionE=Ei-Ek=Ek-Ef
=1/2(Ei-Ef)E is the resonant frequency of cavity
kE
|G,1/2->
|E,7/2+>39.76keV
1
23
4
(a) (b)
(c) (d)
k1 k2E2
E1
H1+H2
k1 k2
qm+Gh
Cascade Biphoton
Superradiance(Collective Mode)1 1
fi fi fi fiN N N
Superradiance M NM M NMNN
s i M m
s i h m
k k G q
, ,1 1
1, ,
N N
h n jkh mh j mh k m h nn m jkh
g b O A A aN
R q G R
, ,, 1
, ,, 1
1,
2
12
s s i i
s i
s i
Ni i
jkh s i mh j mh k s i M m s i m hm
Ni i
mh j mh k s i M m m hm
A A e eN
A A e eN
k r k r
k k
K R k r
k k
r r k k q G
K q G
2,
1
, ,1
, sin
, cos
hm
hm
i Nis
h ml jm j
i Nit
jkh ml j m km
eA e
N
eA A e
N
G Rq R
G Rq R
R r k r
R r k r
Brillouin Scattering
Anderson-Higgs Mechanism
2 4*
2 2 2 2
1 1 1 14 2 2 4
1 1 14 2 4
2
i
A
H
L F F igA igA
ve
L F F g v A A v
M gv
M
Massive wave
E
103mRh spin-density waveSchematic drawing of 1+2D texture
Exchange coupling J>0 Ferro for Fermion and Antiferro for Boson
BEC or Cooper Paring?1012 cm-3, BEC critical density with eV mass at 300K
Onsager-Feynman quantization condition
of superfluid state
se
e v dlm
K
K CoutsCouts
Off-diagonal Long-ranged Order
Off-diagonal Long-ranged Order
Biphoton lasing?
Summary of Experimental Results
• Massive nuclear spin-density wave (eV mass)• Strong coupling• Transparent to electrons• Symmetry Breaking (rotation & translation)• Collective Mode in Photonic Crystal• BEC phase Transition (order parameter: biphoton parity?)• Sensitive to Gravity• Giant Magneton eV/T• Biphoton lasing
g h
1 0 0 00 1 0 00 0 1 00 0 0 1
0 0 0 00 0 1 00 1 0 00 0 0 0
i kz th he
Detection Band
• Low frequency band: 100 nHz – 1Hz• Long-lived nuclear states obtained by
bremsstrahlung and neutron irradiation– 103mRh: half-life 56 min– 93mNb: half-life 16.12 yr– 195mPt: half-life 4.02 d– 193mIr: half-life 10.53 d
Quantum Electrodynamics
Dipole
21 2: fi f iFermi golden rule M
2
3
0, 1 ...
0, 10
i
fi
f i e i
eM f imc
k rA P k r k r
A P k r k r
Quadruple
fi IeM f H i f imc
A P
Cascade decay with entangled biphoton
2
fik i k i
f k k ieMmc
A P A P
f
i
k
Nuclear Raman Effect12I
eH f i f h imc m
A P P P!
2
2 3
0, 0
1 ...
0, 10
j k
i
fi
f i f P r i
e i
eM f imc
k r
P
A A k r k r
A P k r k r
Octupole
GW-induced
2
2 22103 18
2 2293 21
2
: 10
: 10
fik i I i
mfi fi
mfi fi
f k k h ieM hm c
For Rh M h M h
For Nb M h M h
A P P P
!!
! !
! !f
iGW
Frequency Band of Interest
• Low frequency band: 100 nHz – 1Hz• Candidates of multipolar nuclear transitions• Following long-lived states have been carried
out by bremsstrahlung irradiation– 103mRh: half-life 56 min– 93mNb: half-life 1.6 yr– 195mPt: half-life 4.02 d– 193mIr: half-life 10.53 d
Suggested Detection Scheme (103mRh)
t
R
Mollow triplet
LN2 cooling
f
0pairGW
23
9 20
13 24
10
10 1, 10
10 1, 10
R fiM h t
for N
N h h
N h h
!
! !
! !
biphoton
R
R
i
0pair
J0806.3+1527
Binary white dwarfs 50,000 miles apart orbiting with period of 321sRight ascension: 08h 06m 23.20s, Declination: +15° 27' 30.20"Distance: 1600 light years, Mass: 0.5 (primary) / 0.5 (b) M ☉GW amplitude 10-21, GW frequency 0.374 min-1.http://chandra.harvard.edu/photo/2005/j0806/
Arms of Milky way
Oscillation Frequency of the Rabi FloppingPoor RepetitionThe peak at 0.372 min-1 is 0.5% less than 0.374 min-1, which is the GW frequency of J0806.3+1527
Oscillation Frequency of the Rabi Flopping
Morning, 24th, may, 2006 Night, 23rd, may, 2006
Poor RepetitionThe peak at 0.368 min-1 is 2% less than 0.374 min-1, which is the GW frequency of J0806.3+1527