In[]:=
ee=//UnitConvert
Out[]=
In[]:=
energyunit=UnitConvert[%147,"ElectronVolt"]
Out[]=
Elementary energy ~ h c /radius of universe
Contribution to curvature of a single edge ~ 1/(c τ)^2
In[]:=
G/c^4*hc/Ru/(c^3τ^3)1/(cτ)^2
Out[]=
Gh
6
c
3
τ
1
2
c
2
τ
In[]:=
Solve[%,τ]
Out[]=
τRu
Gh
4
c
In[]:=
%/.G->,h->,Ru->,c->
Out[]=
τ
In[]:=
te=UnitConvert
Out[]=
In[]:=
UnitConvertte
Out[]=
UniverseModelData[]
In[]:=
terecomb=UnitConvertGhc^4/.G->,h->,Ru->,c->
Out[]=
In[]:=
Out[]=
Supernova ~ 10^40
What is the maximum speed of branching?
What is the maximum speed of branching?
Elementary causal edge has energy ϵ
Time associated with an elementary edge τ
ℏ
In[]:=
Out[]=
7.4×
122
10
??? Size of multiway graph / size of causal graph
Add a causal edge in spacetime; how much does this contribute to spreading the multiway graph?
In[]:=
Out[]=
2.20×
122
10
In one elementary time, you create one move in space (which happens )
Total volume of MW space
In[]:=
Out[]=
1.20×
492
10
In[]:=
Log[4,%]
Out[]=
817.32
In[]:=
Log[2,%193]
Out[]=
1634.65
Number of nodes in universe
Number of nodes in universe
In[]:=
unodes=((cte)^3)/.G->,h->,Ru->,c->//UnitConvert
Out[]=
1.62×
369
10
Number of updating events
Number of updating events
In[]:=
unodes*te//UnitConvert
Out[]=
3.6×
491
10
Size of multiway system
Size of multiway system
We need to find the volume in multiway space of a system e.g. with some number of spins
[ volume in phase space ]
Assume the universe is expanding in multiway space at maximum speed
(as it is in physical space)
(as it is in physical space)
Inflation in multiway system
Inflation in multiway system
Causal invariance ~ global volume preservation in multiway system [ but it can increase when there are more dof ]
Delay in branch pair resolution : it’s a very quantum world.....
Inflation from delay in resolving branch pairs
Inflation from delay in resolving branch pairs
Physical inflation ~ branch pair resolution time
physical inflation ~ planck time ~ 10^-33 seconds
In that time : ~ 2 ^(10^70) branchings
Causal invariance time ~ 10^70 steps
Necessary that causal resolution time is large ..... so quantum effects are observable....
Necessary that causal resolution time is large ..... so quantum effects are observable....
Standard universe stuff
Standard universe stuff
In[]:=
UniverseModelData,"ConformalTime"
Out[]=
In[]:=
Out[]=
0.2973
In[]:=
1/%
Out[]=
3.36361
With exponential expansion of nodes....
With exponential expansion of nodes....
Any fixed-size object would become exponentially smaller than size of universe