Notes
[Notebook: DB 58 Bringing god home]
[Sunday 15 January 2006 - Saturday 10 January 2006]
[page 38]
Sunday 15 January 2006
Four dimensions = 4 degrees of freedom. From special relativity we learn that every entity is moving in this space so that its four velocity u2 = -1 (Misner, Thorne and Wheeler page 54). What can vary is the direction of this motion, spacelike or timelike, and of the spacelike directions, x, y or z in varying proportions. In all cases the actual breakdown of the velocity depends on the velocity of the observer.
Monday 16 January 2006
Tuesday 17 January 2006
Wednesday 18 January 2006
How do we use the network paradigm to explain complexification? A network is a set of communications. Each communication correlates a sink with a source.
The memory of the receiver is correlated with the memory of the sender, but the entropy must be there to receive the information [or is it created by the reception of the data?] Any entropy exists in some state and therefore contains a certain state of information. Communication correlates the states of two entities, but the no cloning theorem says that the correlation cannot be perfect. Another but: unitarity means that the entropy of the Universe is constant.
So let us say that the 4-entropy (bandwidth) of the Universe is constant, so preserving unitarity (?), but that there is a serial --> parallel conversion, ie the conversion of time into space. At the big bang we observe one particle with frequency [say] ℵ0 (period 1/ℵ0).
At the end of the Universe we will see ℵ0 particles with frequency 1. Behind this observable structure, we speculate that there has grown a system with transfinite complexity which gives meaning to each of the ℵ0 particles. Networks, by duplicating particles, are the source of this process.
[page 39]
Thursday 19 January 2006
Friday 20 January 2006
Saturday 21 January 2006
Carrier - entropy
modulation - information
Maximum modulation uses all the available entropy. The entropy of the Universe is constant and measured by energy (bandwidth) while the modulation shows a tendency to increase (complexification).
CLOSURE - CONSISTENCY, controls modulation - the eigenvalue problem, which arises because the observable changes in action are confined to integral values, in a Universe whose overall bandwidth is ℵ0 (?). Or ℵ0 integral values (all available) are picked out from the transfinite continuum.
