Notes
[Notebook: DB 60 Spotlights]
[Sunday 3 December 2006 - Saturday 9 December 2006]
Sunday 3 December 2006
[page 45]
Monday 4 December 2006
S-matrix = Turing machine = network of Turing machines (ie a set of Turing machines all working on the same tape and so sharing data in exactly the same manner as a random access machine, in which each subroutine when it is called is told where to look for its input and where to put its output.
And the other thing? Lost.
But I am getting excited about all this again. What if I
[page 46]
am really onto something, getting the world slowly from the ground and watching it grow longer.
The principle here is bonum ex integro. The engine will not run (or anything else happen for that matter) unless all systems are go. The overlap integral tells us how often this happens. Like I am trying to strike an arc with a wet rod on cold metal - it takes a few tries to get it to happen, just like fishing or hunting. The purpose of error correcting systems is to increase the probability of [some defined] action. In logical terms an act only happens when it is proved, ie there is 100% overlap between input and output.
Excitement is the anticipation of pending action and it grows as the overlap integral approaches one and our lips actually meet and 'nature takes its course'.
Its back. PREPARATION = HISTORY. The quantum mechanics use lasters, accelerators and chemistry sets to prepare particles in a certain state and then let them interact and observe the outcome. This all happens naturally in nature, every event being preparation for the next one in the universal spacetime tree.
HISTORY = PROTOCOL if I know you well, our communications can be significantly condensed by awareness of our previous interactions, ie we know each other and many of the error preventing and correcting protocols necessary when dealing with strangers can be bypassed.
Tuesday 5 December 2006
Wednesday 6 December 2006
Thursday 7 December 2006
Friday 8 December 2006
Saturday 9 December 2006
We gain insight into the functioning of the symmetric network by comparing it to an ordinary computer with multiple processors. [Cantor's principle of finitism, Hallett page 7] The symmetric Universe corresponds to the memory. We assume the logical equivalent of Newton;s first law, that the state of a memory locations is only changed when they are written to by a processor. We model processes with Turing machines. Each operation of each processor results in change of state of the entire system. To a comoving observer, the input to each change of state is the machine past and the output is the machine future.
The simplest machine operations are no-operation,
not and nand. We may imagine the operation
of a conventional computer as a time evolving network whose nodes are
and gates and edges are connections between the output of one gate
and the input of the next [stored in memory] The network exists
within a physical matrix and communicates by the exchange of physical
particles (ie electrons, photons)
These atomic operations are organized into higher processes. Thus
the instruction multiply executed by a processor with
two input registers and an output will trigger the execution of a
certain set of atomic operations in serial and parallel until the
answer is obtained. The speed and accuracy of this complex process
will depend upon the efficiency of an algorithm written in the
machine's memory. The multiplication operation may itself be part of
the execution of a climate model and the execution of the climate
model part of
[page 48]
a more complex scientific, social and political process of deciding how to manage our interface with the Universe, the question of greatest interest here.
Conflict between processes and failure can result if a deterministic processor is faced with memory changed by exogenous processes to that the first law condition is not fulfilled. This is analogous to someone entering my space and removing elements in a way that subsequently introduces errors into my life. It is also analogous to the way humans impact on the globe, where we alter the memory previously reserved to natural processes, perhaps in the long term seriously compromising the ecosystem services necessary for our lives.
