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WOLFRAM NOTEBOOK
A lump of matter has a bundle of causal edges
Given a geodesic (in multiway system): the number of causal edges determines its turn rate
Each causal edge contributes E
Assume branchial is same size......
Bundle of geodesics encounter a bunch of energy edges....
Each energy edge produces pi/4 of turn per elementary time
Bundle of geodesics encounter a bunch of energy edges....
Each energy edge produces pi/4 of turn per elementary time
E in spacetime is different from E in MW CG
E in spacetime is different from E in MW CG
Reduction from MW to single-threaded....
This is why the Planck mass is “too big” ; Planck energy is even bigger
This is why the Planck mass is “too big” ; Planck energy is even bigger
The size of multiway space is the Hubble time / Planck time
The size of multiway space is the Hubble time / Planck time
Implies one new branch per Planck time
In[]:=
Out[]=
8.1×
60
10
Compare to vacuum energy
Compare to vacuum energy
Compare to vacuum energy
G/c^4 /≈ 1/
E
d
L
2
L
Has spacetime energy.....
Peel off one causal graph, then study the universe in it.....
Peel off one causal graph, then study the universe in it.....
There is an energy scale here....
E
(T
G/c^4 /≈ 1/
E
d
L
2
L
Partition function : whole MW CG
Partition function : whole MW CG
ℏ as it affects the individual branches in the multiway system
ℏ as it affects the individual branches in the multiway system
Each node in the branchial is very big (i.e. size of universe)
To be kicked a certain angle in branchial space takes more energy than you would think.....
To be kicked a certain angle in branchial space takes more energy than you would think.....
A change in one causal edge will spread to Ξ
A change in one causal edge will spread to Ξ
The addition of a causal edge in the MW CG
If we want to have an effect on all branches, we need to add Ξ causal edges
To have a classical effect, we need Ξ causal edges...
Which could happen through entanglement spreading
I.e. to get enough energy to affect the (classical) structure of spacetime...
To have a classical effect, we need Ξ causal edges...
Which could happen through entanglement spreading
I.e. to get enough energy to affect the (classical) structure of spacetime...
Still could be true that
G / c^4 ( E ) / (T c)^d == 1/( T c)^2
G / c^4 ( E ) / (T c)^d == 1/( T c)^2
Adding a single classical causal edge adding Ξ multiway edges....
Total multiway energy ~ Ξ individual “classical” causal graph
In branchtime, a single path in the path integral
(Number of paths in the path integral ~ Ξ )
Whole multiway graph : total energy is E Ξ * (number of nodes in a universe)
Total multiway energy ~ Ξ individual “classical” causal graph
In branchtime, a single path in the path integral
(Number of paths in the path integral ~ Ξ )
Whole multiway graph : total energy is E Ξ * (number of nodes in a universe)
E Ξ = ℏ / T
When we measure this, we are looking at energies post entanglement; therefore we see E Ξ of energy...
[[[E Ξ is the total energy in today’s entanglement cone....]]]]
For us to notice that anything happened, lots has to be entangled....
At our scale, we need to wait for Ξ elementary times to make a measurement
At our scale, we need to wait for Ξ elementary times to make a measurement
In[]:=
Solve[G/c^4(ℏ/(ΞT))/(Tc)^d==1/(Tc)^2,T]
In[]:=
G/c^4*h/(ΞT)/(cT)^d1/(cT)^2
Out[]=
Gh
-d
(cT)
4
c
1
2
c
2
T
In[]:=
g/c^4*h/(Ξt)/(ct)^d1/(ct)^2
Out[]=
gh
-d
(ct)
4
c
1
2
c
2
t
In[]:=
PowerExpand[%211]
Out[]=
-4-d
c
-1-d
t
Ξ
1
2
c
2
t
In[]:=
Solve[%,t]
Out[]=
tgh
1
-1+d
-2-d
c
Ξ
In[]:=
Solve[(ct)^dt,t]
In[]:=
1
-1+3
-2-d
c
Ξ
In[]:=
-2-3
c
Ξ
In[]:=
gh
5
c
Out[]=
In[]:=
UnitConvert[%]
Out[]=
In[]:=
t0=%;
Density of nodes:
In[]:=
l0=UnitConvertct0/.g->,c->,h,Ξ->
Out[]=
In[]:=
Out[]=
7.7×
91
10
In[]:=
%^3
Out[]=
4.6×
275
10
Number of nodes in universe:
275
10
Total number of nodes across multiway graph is
Energy:
In[]:=
e0=UnitConverth(Ξt0)/.g->,c->,h,Ξ->
Out[]=
In[]:=
Out[]=
In[]:=
%140/%138
Out[]=
1.19×
8
10
In[]:=
%^(1/3)
Out[]=
492.
In[]:=
%l0
Out[]=
In[]:=
e0
Out[]=
3.5×
-31
10
Fundamental assumption:
Fundamental assumption:
It takes of order Ξ time steps to be observable
In[]:=
UnitConvertΞt0/.g->,c->,h,Ξ->
Out[]=
In[]:=
1/%
Out[]=
Number of elementary steps to be classical in the cosmological observation frame.....
By sculpting a region.....
By sculpting a region.....
Vacuum energy
Vacuum energy
Hierarchy problem
Hierarchy problem
Mass of Higgs / Planck mass
In[]:=
Out[]=
1.02×
-17
10
In[]:=
Out[]=
In[]:=
%2
I.e. 10^-3 eV/c^2
No particle masses less than that..........
(Neutrino upper bound .086 eV )
And by that scale, you should see integer multiples........ [[ I.e. this implies quantization of mass ]]
Measurable causal edge....
Time quantization
Time quantization
Vacuum energy
Vacuum energy
Effective cosmological constant of the current universe:
How much of the activity of the universe is space-making
How much of the activity of the universe is space-making
Most of the activity of the universe is the making of space.....
Most of the activity of the universe is the making of space.....
MORE
MORE
Take 2
Take 2
Black hole estimate
Black hole estimate
Maximum rate of entanglement
Think of speed of light as escape velocity of a black hole
Think of maximum measurement rate as [[ maximum energy added to an elementary region without gravitational collapse ]] ℏ/τ = ( c τ )^d
Think of speed of light as escape velocity of a black hole
Think of maximum measurement rate as [[ maximum energy added to an elementary region without gravitational collapse ]] ℏ/τ = ( c τ )^d
r = 2 G m / c^(d-1)
( c τ ) = 2 G E / (c^(d+1))
E = c^(d+2) τ / ( 2 G) = ℏ / τ
( c τ ) = 2 G E / (c^(d+1))
E = c^(d+2) τ / ( 2 G) = ℏ / τ
τ = Sqrt[2 G ℏ / c^(d+2)]