Title: Comments and Questions about the Dark Universe
1Comments and Questions about the Dark Universe
Charling TAO CPPM Université de la
Méditerranée Tsinghua 2005 tao_at_cppm.in2p3.fr
2Outline of the presentation
1) Brief introduction on SuperNovae 2) Present
SNIa data 3) Determination of cosmological
parameters a concordant or a convergent
Universe? 4)  Experimentalist point of view
SNIa  2 s  effect? Perhaps too early to speak
about new physics !?! 5) How can SN results be
improved? 6) Need for more theoretical work 7)
What about Cosmology tests in the lab?
3Supernovae
- Exploding stars ? Brightest objects in Universe
- Can sometimes be seen by eye rare! 8 recorded
in 2000 years
- Historical (super) novae
- Chinese records 185, 369, 1006 (arabo-persian
also), 1054, 1181.
- 1572 (Tycho Brahe), 1604 (Kepler)
- visible during the day
- 1987A LMC UV, X, radio, visible, neutrinos
!
4Historical SN Classification
SN Spectra
- Type I absence of hydrogen
- Type Ia presence of ionised Silicium (SiII)
- Type Ib absence of silicium, presence of helium
- Type Ic absence of silicium and helium
- Type II Presence of hydrogen Ha and Hb
- Type II normal domination of hydrogen,
presence of helium. IIL (linear) or IIP (plateau)
according to Light curves - Type IIb Dominating presence of helium
- Peculiar types
5Supernovae explosions
Red giant
White dwarf
Chandrasekhar mass 1.4 MO
Core Collapse SN
SNIa 2 stars (a white dwarf )
6Interest of SN study
- Physics of galaxies ISM heavy elements and
star formation - Physics of stars explosion at end of star life
- Particle Physics neutrinos properties
- Philosophy We are supernovae dust
- Cosmology distance indicators (SNIa)
7Equations of evolution of the Universe
General Relativity Matter and energy impact the
geometry of the Universe and its evolution. gt
Equation of movement Friedmann equation
.
.
Mmatter Rradiation Xexotic L cosmological
constant kcurvature
- Equation of state wp/? (w-1 for ?) describes
the change in the Hubble parameter and impacts - angular distance - diameter
- structures growth rates
- Large Scale Structures (LSS) power spectra
- Weak Lensing (WL) power spectra
- . (Ma, Caldwell, Bode Wang ,
1999)
8Measuring distances
Cosmology additional a(t) scale factor
D(t) a(t) D(t0)
a(t) a0(1 H0t -1/2 q0 (H0t)2 )
SN 1996
H0 Hubble parameter measures the expansion
rate of the Universe H0 (a/a)0 100 h
km/s/Mpc , h 0.72 /- 0.05 (?) q0
deceleration parameter A Universe with only
matter is expected to decelerate
.
.
9The Hubble diagram with SNIa
Absolute magnitude
m(z) M 5 log (DL(z,WM,WL))-5log(H0)25
10The classical SN observation method
- A 3 steps method
- Discovery subtraction from a reference image.
- Supernova type identification and redshift
measurement - Photometric follow-up
light curve
spectrum
?Final analysis Hubble diagram.
11SN Ia are not exact standard candles!
The light of SNIa explosions can be followed up
for several weeks with telescopes
12Different standardisation methods
Standardisation to Dm 0.2
Before mB
After, eg, stretch correction mBcor mB a
(s-1)
Different standardisation methods stretch
(SCP), MLC2k2 (HiZ), Dm15, ...
13The  classical method
galaxy
magnitude
z(redshift)
Images
Hubble
identification.
Spectra
Ia
14Fit cosmological parameters
- From Hubble diagram, fit models
- Determine dark energy parameters WL, or (WX, w,
w) and matter density WM
mag
z
1
15SNIa
SURPRISE Indication for negative deceleration
parameter q0 Acceleration!!!
- W r(t)/rc(t) WM WL
- 1- Wk
- ?L L/3H02
- q0 1/2 WM- WL lt 0
z
162) SN Ia the present status a selection by
Riess et al, astro-ph 0402512
16 new SN Ia with HST (GOOD ACS Treasury
program) 6 / 7 existing with z gt1.25
- Compilation (Tonry et al. 2003) 172 with
changes from - Knop et al, 2003, SCP 11 new 0.4 lt z lt
0.85 - reanalysis of 1999, Perlmutter et al.
- 15 / original 42 excluded/inaccurate colour
measurements and uncertain classification - 6 /42 and 5/11 fail  strict SNIAÂ
sample cut - Barris et al, 2003, HZT 22 new varying
degrees of completeness on
photometry and spectroscopy records - Blakesly et al, 2003 2 with ACS on
HST
- Low z 0.01 lt z lt 0.15
- Calan-Tololo (Hamuy et al., 1996) 29
- CfA I (Riess et al. 1999) 22
- CfA II (Jha et al, 2004b) 44
17SN Ia 2004 Riess et al, astro-ph 0402512
183 SNIa selected ? Gold set of 157 SN Ia
WM0.29 WL0.71 Prior Flat Universe
But also non concordant models
Fits well the concordance model c2 178 /157
SNe Ia
18Riess et al. (fit quality)
19Determination of Cosmological parameters
wp/r
w w0w z
Riess et al, astro-ph 0402512
20Some Phenomenological work on SNIa
Virey, Ealet, Tao, Tilquin, Bonissent, Fouchez,
Taxil astro-ph/0407452
Simulation and analysis tool Kosmoshow
developed in IDL by André Tilquin (CPPM)
marwww.in2p3.fr/renoir/Kosmoshow.html
21Equations of evolution of the Universe
Matter and energy impact the geometry of the
Universe and its evolution. gt Equation of
movement Friedmann equation
Mmatter Rradiation Xexotic L cosmological
constant kcurvature
- Equation of state wp/? (w-1 for ?) describes
the change in the Hubble parameter and impacts - angular distance - diameter
- structures growth rates
- Large Scale Structures (LSS) power spectra
- Weak Lensing (WL) power spectra
- . (Ma, Caldwell,
Bode Wang , 1999)
22Example of possible bias large w1
- Suggestion Maor et al...
- w0F-0.7
- w1F 0.8
- WM 0.3
Beware of fitting method !!!
Bias from the time evolution of the equation of
state astro-ph/0403285, Virey et
al. Quantitative analysis of the bias on the
cosmological parameters from the fitting
procedure, ie, assuming a constant w, when it is
not!
With present statistics, can be
ignored Not the case with larger samples!
23Riess 2004, gold sample
Fit with no prior
LCDM concordant model
24Riess et al. SNIa data results for different
fits
(157 SN Ia  gold sample  Riess et al.,
astro-ph/040251)
w p/r w0 w1z
Results Riess et al
- SN data seem to prefer larger Wm
- Instability of results with fits
- Errors on w1 are small only if Wm 0.3
253) Reanalysis of Riess et al. SNIa data
A concordant or a converging Universe ?
Virey et al., astro-ph 0407452
- With prior WM 0.27 /- 0.04, always LCDM (ie
w-1) reconstructed, even with different
assumptions in simulations , eg, WM 0.48 ,
w/-1 - ? LCDM convergent model !?!
- Without flat prior, NO strong constraints from
SNIa - Prior Flat Universe , but no prior on WM
- SNIa ? WM 0.48 preferred value
Is WM 0.27 /- 0.04 ???
26Many determinations of WM
Riess et al., astro-ph/0402512 SN ?
WM 0.27 /- 0.04
X
Freedman and Turner, Rev.Mod.Phys.
(astro-ph/0308418) WM 0.29 /- 0.04
- WMAP CMB
- Bennett et al., 2003 ApJS, 148, 1 with h0.71
/- 0.05 ? 0.27 /- 0.04 - Spergel et al. 2003 ApJS, 148, 175
- CMB alone WM h2 0.14 /- 0.02
? 0.27 /- 0.10 - CMB 2dFGRS WMh2 0.134 /- 0.006 with h0.72
/- 0.05 ?0.26 /- 0.04
- 2dFGRS Hawkins et al., astro-ph/0212375 MNRAS,
only bias - Tegmark et al. astro-ph/0310725 3D power
spectrum of galaxies from SDSS - astro-ph/0310723
Cosmological parameters from SDSS and WMAP, -
Clusters, Weak Lensing, etc.
N. Bahcall et al. Comparison M/L
data/simulation WM 0.16 /-0.05 S.
Vauclair et al. XMM X-ray clusters
WM gt 0.85
27What is Cosmic Microwave Background?
- Penzias et Wilson (1965) Giant Bell Lab Radio
Antenna for detection of intergalactic radio
emission - Noise excess in all directions (7,5 cm l)
Black body radiation at 3.7 /- 1 o K
Plancks Law
- Cosmological Interpretation Dicke, Wilkinson
Peebles, Roll - Big Bang ? Relic radiation
- (Gamow (1948) et Alpher et Herman (1950))
Black Body radiation curve COBE (1992) from 0.5
to 5mm T 2.728 /- 0.002 K (T 2.72528 /-
0.00065 K)
28Anisotropies
Simulation de galaxies
Ned Wright Cosmology tutorial
- Anisotropies can be generated by many effects
- acoustic, Doppler, gravitational redshift,
photons scattering, - Complex phenomena ?
- Initial surprise Weakness of the observed
effect
29A very isotropic CMB
30First measured anisotropies
dipole radiation from the Milky Way (1969)
Milky Way horizontal in the centre
v/c T0
-v/c T0
COBE (1992) v 371 /- 0.5 km/s
Temperature fluctuations 1 / 1000
31Brief History
Photons hot enough to ionize H Compton
Scattering couples g to e, and baryons?
Dynamical system Baryon-photon Fluid g
pressure resists the fluid gravitational
compression ? acoustic oscillations
Recombination Neutral hydrogen formation and g
last scattering Hot (compression) and cold
regions ? present traces g undergo also a
gravitational redshift from the potentials at
last scattering.
W.Hu
32First measurements of CMB anisotropies
Prédictions de Sachs et Wolfe (1967) autour de
10-3, non observées
COBE (1990) around 10-5 30 mK
33Temperature fluctuations
- Decomposition in spherical harmonics
- T (2.725/-0.01)K (3.358/-0.02)mK
cosq S lgt1,m alm Ylm - Temperature is real ? alm alm
-
- Term in l ? variation on angular scale Dq p/ l
- angle-multipole connexion due to
- Ylm has l-m zeros for 1lt cosqlt 1
- Re(Ylm) has m zeros for 0ltFlt2p
Solar system peculiar velocity
34Angular power spectrum
(Adapted Lineweaver, 1998)
35Foreground contaminations
Component separation by measurements in different
frequencies Theoretical Extrapolation to CMB
region
Between 100 and 200 GHz !
36WMAP
Launched june 2001 in space
37Wilkinson Microwave Anisotropy Probe
David T. Wilkinson 1935-2002
WMAP model
WMAP science team
http//map.gsfc.nasa.gov/m_mm/pub_papers/firstyear
.html
2003
38WMAP results
Curve best fit LCDM
39WMAP cosmological parameters (Table I)
- LCDM, ie, flat Universe and equation of state w
p/r cte ( -1) - Measures Wm h2 and Wb h2 ? fb Wb/Wm 0.17
/-0.02
40!!!! WMAP note !!!!! Strong degeneracy
in Spergel et al., 2003 ApJS, 148, 175
- WM 0.47, w-0.5 and h0.57 gt identical power
spectrum -
- solution excluded for 3 reasons
- 1) h0.57 2s from HST
- 2) worse fit SNIa results not true
- 3) poor fit 2dFGRS galaxy power spectrum
surveys
Blanchard et al. controversial
412dfGRS use of CMB prior
42SDSS galaxies power spectrum
Tegmark et al. astro-ph/0310723
WM0.4 h0.72 0.5 h0.56
Baryon fraction
- Indication for
- Systematics
- not cste w?
- ?
WMAP LCDM
h WM
43Precision cosmology? Not Just Yet
Bridle et al. Science 299(2003) 1532astro-ph
0303180
44SNIa fits with weak priorsWM 0.30 /- 0.2
Virey, Ealet, Tao, Tilquin, Bonissent, Fouchez,
Taxil astro-ph/0407452
- no prior on WM (flat Universe), eg, WM lt
0.60 - other solutions still possible even
decelerating Universes
Quintessence
Phantom
45SN data interpretation needs more precise
determinations of WMor combination with other
data
Tools existing for each observation eg, CMB
CMBFAST, etc SNIa Kosmoshow, Y. Wang, Weak
Lensing, Clusters, Extraction of cosmological
parameters using  priors on other data
Tools needed for combined analysis Attempts
Tegmark Wang, Corasaniti et al., Padmanabhan et
al., For different models, eg, with variable w
46Combined SN, CMB, WL constraints on equation of
state
Upadhye , Ishak and Steinhardt, astro-ph 0411803
Future constraints
SNAP/JDEM Planck
47Weak gravitational Lensing
Background image distorsions by foreground matter
Without lensing lensing
effect
48Weak Lensing
Distortion Matrix
- Direct measurement of mass distribution in the
universe, - Other methods measure light distributions
49Weak Lensing principle
Distortion Matrix Convergence Shear Critic
al surface density
Weak lensing regime ? ltlt 1 (linear
approximation) ?Measure shear ? and solve for
projected mass ?
50Dark Energy and Weak Lensing
w is measurable by WL power spectrum But
degeneracy between w, ?M ,?8 and ?
Hui 1999, Benabed Bernardeau 2001, Huterer
2001, Hu 2000, Munshi Wang 2002
514) A closer look at SN measurements
52Spectroscopy when possible
- SN Ia Identification
- Spectrum structure
- Redshift z measurement
- From position of identified lines from spectra SN
and/or underlying galaxy
53Supernovæ identification
Simulation of a SN Ia spectrum at z?0,5
- With Spectra
- Main stamp of the SNe Ia Si II at 6150 Ã…
(supernova rest frame) - Hardly observable beyond z gt 0.4-0.5.
- Otherwise, search for features in the range
3500-5500 Ã… (supernova rest frame) - Ca HK, SiII at 4100 Ã…, SII,
Ca HK SiII 4100
observed at VLT (SNLS)
54SNIa sample contamination
Need strict selection criteria But reduces
statistics !
55Atmospheric transmission (ground)
Reduced efficiency Not homogeneous
filters Redshift dependent !!!
Reduction of transmission in visible Absorption
water O2 reduce visibility in IR
56Atmospheric emission
57Spectroscopy Need to subtract galaxy
58Systematic effects
Extragalactic environment
local
Supernova environment
reduction/correlations SNIa contamination Selectio
n bias Inter calibration filters
Normal Dust absorption Lensing Grey Dust SN
evolution
59Systematic effects
Observational problems Standardisation
method Light curve fitting Heterogeneity of SN
data SNIa identification Subtractions Calibration
s Atmospheric corrections K-corrections Selection
bias
- Astrophysical problems
- SN evolution
- Internal extinction not negligible in spiral
galaxies - Corrections for peculiar velocity effects
- Grey dust
- Lensing
- Rowan-Robinson astro-ph/021034
- Perlmutter Schmidt 0303428
60SN Ia photometry needs many corrections
mag
light curve
- Atmospheric observational corrections - Light
Curves measured in SN reference frame ? in local
reference frame - Galactic extinction
correction NOT ALL VERY PRECISE OR WELL
UNDERSTOOD!, YET!
61Precision on the magnitude at the maximum
Stretch uncorrected
Stretch corrected
Precision on the magnitude dominated by intrinsic
dispersion dmint ? 0.15
62Knop et al (2003) light curves
63Redshift calibration
- Spectrum is dilated by (1z)
- Flux is integrated in a filter for a photometric
point, but filter responses are not flat. - Sometimes, need different filters
- Corrections for differences (l shift)
- ? Systematic effects
64Astrophysical effects
- SN evolution
- Internal extinction not negligible in spiral
galaxies - Increase of the fraction of star-forming systems
with z ? average host galaxy extinction should be
higher? - DeVaucouleurs prescription (1976)
- Corrections for peculiar velocity effects
- Grey dust
- Lensing
65Dependence on SN Environment
Blue have a lower metallicity - Can be seen
further
66Supernovae evolution
Peak magnitude can change Explosion changes with
environment Difference of chemical elements
around SN Depends on galaxy morphology, age,
type,
- Sullivan et al (2002) SCP
- SNIa host galaxy morphological classification
- Not a large effect, but statistics are still low
67Extinction and Dust
- Extinction by dust from Our or SN galaxy
- Correction factor to the magnitude
- A R E(B-V)
- Measurements in many filters
- Select minimal dust regions ?
Before extinction
- Rv3.1 /- 0.3 for our Galaxy
- Very large correction
- Effective SNIa Rv 2 ?
After correction
- Grey dust not well known, intergalactic,?
68A strong limit on grey dust?
Peerels, Tells, Petric, Helfand (2003)
- A 24.7 hr Chandra exposure of QSO 1508-5714
z4.3 shows no dust scattering halo - Upper limit on mass density of large grained
(gt1mm) intergalactic dust Wdust lt 2 10-6
69Dust and evolution ?
Sensitivity to dark energy decrease for z gt 0.6
Dust Homogeneous gray intergalactic
dust? Galactic dust responsible for extinction?
- Evolution shift due to progenitor
- mass?
- metallicity?
- Ni distribution?
- Other effects?
Is there a region of deceleration? Need
to go to zgt 1
70Gravitational Lensing in a Clumpy Universe
Weak lensing approximation Power spectrum of
mass density in a relatively smooth universe
71Some estimates of Systematics
72Systematic differences between standardisation
methods (Riess et al.)
73Constraints on cosmological parameters
Dm 0.2 - 0.3 effect!
74Systematic errors on magnitude
3 fit with no prior
Use Kosmoshow an IDL program by A. Tilquin!
marwww.in2p3.fr/renoir/kosmoshow.html
20 calibration error on intermediate fluxes
gives no cosmological constant
75Riess gold sample sensitivity
Kosmoshow, A. Tilquin
76A Dm0.27 shift of low z data
A  2 s effect!
Use Kosmoshow by A. Tilquin!
Shift z lt0.15 data by Dm 0.27 ? Wm 0.43 /-0.2
and WL 0 /-0.34
- No need for L
- But Universe is not flat!
775) How can SN results be improved?
- Data still dominated by statistical errors
- ? Need more data ? Better study of systematic
effects - ground space
- Study of w(z)
- ? Need large sample of low z data for
systematics - ? Need higher z data ? Need low z UV SN sample
- ? need to
go to space atmosphere
- Need better quality data
- Reduce atmospheric fluctuations
- Gain statistics by spectro most SN
78Requirements for SNIa search
- Ideally
- Many SN for a negligible statistical error and
study - of systematic conditions. ? wide field
- Detect deceleration zone (zgt1) ? measure in IR
- (or have large local UV sample for SNIa
identification) -
- Control the correction precision for SNIa
- standardisation (environment and measurement
corrections) - Control non corrected systematic effects to the
same level - ? Very precise light curves and spectra to
determine - the explosion parameters, at all distances.
Best in space!
79How to constrain SNIa systematic effects and get
precise measurements?
- Ideally in space SNAP/JDEM, DUNE
- Problem gt 2014
- In the meantime More statistics from as
homogeneous samples as possible - CFHTLS and ESSENCE Nearby
80Low z activities
- Nearby SuperNova Factory
- 300 SNIa (2004-) snfactory.lbl.gov
- Physics of SNIa explosions
- Supernovae at CfA (ongoing)
- Expect 100
- www.harvard.edu/cfa/oir/Research/supernova.html
81Low z Nearby Supernova Factory (2004-)
- Goals
- 100/yr 0.03ltzlt0.08
- 10 spectro-photometric between 14d and 40d
- Spectra 320-1000 nm
- Tools
- Discovery Two cameras (one wide field) 1.2 m
ground based telescopes NEAT - Lightcurve follow-up with YALO
- Photo-spectro follow-up with Field Integral
Spectrometre (SNIFS) for ground based 2.2m
telescope (Hawaii)
- Collaboration
- France CRAL,IPNL, LPNHE
- US LBNL, U.Chicago
82Intermediate z (2003-2014)
- ESSENCE at CTIO www.ctio.noao.edu/wproject/sne
- 50 SN Ia/year
- SNLS with MEGACAM of CFHT Legacy Survey
/snls.in2p3.fr/ - MEGACAM working since march 2003
- Foreseen 700 SNIa z lt 1.
83The CFHT Legacy Survey Supernovæ Program
84SNLS the instruments
A wide field camera (1 square degree, MEGACAM
0.35 Giga pixels) on 3.6 m CFHT (Hawaii)
telescope
85SNLS expected results
WM contraint
WM contraint
SN only DWL0.1 and Dw0.2 limited to zlt0.95
(atmosphere)
86Comparison with present measurements
Only statistical errors
68
Flat
87Joint Dark Energy Constraints
Current efforts focus on the complementarity of
supernova and weak-lensing measurements of the
dark-energy parameters.
CFHTLS Wide Field Weak Lensing - an ongoing
program
88Joint Dark Energy Constraints from SNAP
Dark Energy Constraints from Cross-Correlation
Cosmography Bernstein Jain 2004 Constraints
from Power Spectrum and Bispectrum Takada Jain
2003
NOTE Lensing constraints do not contain
systematic error estimates.
(wwa/2 at z1)
89SNAP /JDEM a dedicated satellite
Large statistics 2000 Sne Ia/yr redshift to
zlt1.7, Minimal selection Ia identification
2m wide field telescope
90SNAP survey
Hubble Deep Field
Observe repeatedly same sky area
Wide field !!
- Surveys
- Supernova Survey
- 2X7,5 sq. deg.
- 2X16 months
- Rlt30.4 (9 bands)
- Weak Lensing Survey
- 300 sq. deg.
- 0.5-1 year
- Rlt28.8 (9 bands)
Supernova Survey
Weak Lensing Survey
Each field is observed 4 days All images are
accumulated
91SNAP Expectations
Résultats-diagramme de Hubble
92SNAP expected results
Weak Lensing CMB
936) Testing the Dark Energy Paradigm
Where is progress to come from?
Phenomenology
Observations
Theory !
94The cosmological constant L a problem for field
theorists
X
- General Relativity ? L scale
- Cosmological measurements
- rLobs (10-12 GeV)4 2 x 10-17 J/cm3
- Particle physics ? L vacuum energy
- vacuum perfect fluid p -rL -
L/(8pG) - rLEW (200 GeV)4 3 x 1040 J/cm3
- rLQCD (0.3 GeV)4 1.6 x 1029 J/cm3
- rLPl (1018 GeV)4 2 x 10103 J/cm3
1 GeV 1.6 10-10 Joules
X
Difference 120 orders of magnitude !
Coincidence with Neutrino scale?
rLobs (10-12 GeV)4 (meV)4
95Quintessence
- Introduced to solve the cosmological constant
problem - Wetterich, Ratra Peebles (1988),
- Exponential scalar field
-  Berk!!! (field theorist),  UnnaturalÂ
(tHooft) - Many varieties of the model
- does not couple with gravity (in simplest
models) - Predictions for SNIA, CMB,
- Different from simple inflation models
96A Quantum Gravity effect?
- - What is the average density of the Universe
that is measured by cosmologists? - If it has to do with Quantum Gravity Vacuum
fluctuations, need to unify General Relativity
and Gravity!
Loop Quantum Gravity Ashtekar, Smolin, Rovelli,
etc
Spinor Gravity Wetterich
SuperStrings ..
MOND Milgrom, Beckenstein
Extensions to GR Moffat
Negative energies Henry-Couannier
QFT in curved spacetime
97Why measure precisely cosmological parameters?
- Check that the Universe is flat to a better
precision (Planck Surveyor) - If Wtot 1 Distinguish between inflationary
models - Alternative models predict deviations from scale
invariance - Amount of tensor perturbations to large scale CMB
anisotropies small or comparable to scalar
perturbations? - Determination of neutrino masses to around 0.1
eV? - Massive neutrinos slow down structure growth in
small scales and modify the amplitude and shape
of the matter and CMB power spectrum - Check that there is really a Dark Energy
component. Is Dark Energy a cosmological
constant or something more complex and dynamical
? - Dependence on the equation of state w
- (SNAP/JDEM, DUNE
Planck Surveyor ???)
98Modern Cosmology Dark Matter, Dark Energy
Universe by Aristotle
Modern epicycles?
Need for a conceptual Revolution?
99A mysterious and interesting Universe
Definition Wr/rc (rc10-29 g/cm3)
Ordinary Matter 4
100Testing the Dark Energy Paradigm
Where is progress to come from?
Phenomenology
Observations
Theory !
What about testing Physics in the Lab?
101Zero point energy and vacuum fluctuations
Plancks second theory of black body radiation
Average energy of collection of oscillators
- Zero point energy term
- Experimental effects
- X-ray scattering in solids
- Lamb shift understanding between s and p levels
in hydrogen - Casimir effect
- Origin of van der Waals forces
- Interpretation of Aharonov-Bohm effect
- Compton scattering
Well known black-body spectrum
Look eg, _at_ Spectra of noise in electrical
circuits
102Josephson junctions evidence for ZPE term
From Koch et al., Phys. Rev. B, 26, 74, (1982).
103Dark energy cutoff?
Beck and Mackey astro-ph/0406504
104TeraHz Josephson junctions ?
From Koch et al., Phys. Rev. B, 26, 74,(1982).
Possible cutoff?
Interesting lab experiments ? A factor 3 to gain
from 1982 experiment
Exist in LERMA
105DE Contributions cannot be determined from noise
measurements
Jetzer Straumann, astro-ph 0411034
The absolute value of the ZPE of a quantum
mechanical system has no meaning when
gravitational coupling is ignored.
All that is measurable are changes of the ZPE
under variations of system parameters or of
external changes
ZPE / Gravity vacuum fluctuations