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PLAN OF 1 RELATIVISTIC_PHENOMENOLOGY
1a introduction
1b information processing
1c mind and brain
1d mapping and modeling
1e causality or implication
BACK TO SITE PLAN
1B INFORMATION PROCESSING
NOTE: by "matter" we understand a metalanguage shortcut to
the physical concept of discretized, integrated high density
areas of Gravity/Inertia Field. Inverted commas stress its
contrast to the common "materialistic" usage of the term,
denoting a meaningless abstraction void of physical sense
and absent from physical vocabulary.
Information Processing may be schematized with help of three
entities: Processor, Input and Output. Input, a set of
Receptor devices, feeds the Processor which generates Output,
a set of action Trigger devices, fed partially back to the
Input as the cybernetic feed-back..
Within this schema action has to start by relating Input
with Output, i.e. by establishing all Receptor/Trigger
couples, in order to select those pertinent to the particular
act.
Now, "material" Processor cannot exceed 2*10e47 operations
per gram and second (Bremermann's limit[*] (BL)). Enormous
as it may seem, it turns out to be negligible. The number
2*10e47 bits per second is a small number when compared
with processing rates that one would need to carry out
certain search processes. For example, Minsky gives the
number of all possible move sequences in chess as about
10**120.
Conservatively estimated Input and Output of an advanced
organism contains 10e6 devices each. Supposing simplest 2
state devices, relating Input with Output requires
R=2**(2*10e6) operations. Its Log=602060, indicates R to be
1 with 602060 zeros.
On the other hand BL for a kg (roughly the mass of the brain)
- 2*1e51 - is about 1 with 52 zeros.
Dividing R by BL we get about 1 with 602008 zeros seconds
as the lowest limit of time required by "material" brain
to relate conservatively estimated input and output of an
organism. The practical limit is by orders of magnitude
longer, because the neuron structure of the brain is much
courser than the atomic granularity implied by the BL.
Thus, Morphogenesis, behavior of living Organisms, Human
complex scientific and social Projects clearly require some
agent different and incomparably faster than the raw
"corpuscular Matter". We shall consider it in the next
chapter MIND AND BRAIN .
[*]BREMERMANN'S LIMIT
No "material" system whether artificial or living can compute
more than 2 x 10e47 bits per second and per gram of its mass.
This limit refers to a self-contained system where the power
supply is included in the "matter" and where "computation" is
defined as the transmission of information over one or more
channels within the system. Recognizing that computation
requires energy for changing physical markers and for
recognizing such changes in subsequent steps, the limit is
obtained from Einstein's relation between energy and matter,
E=mc2, and Heisenberg's uncertainty principle, which specifies
the inaccuracy or noise in the measurement of energy.
Current computers as well as the brain are far from
approximating this limit because they don't utilize atomic
events for the storage and transmission of information.
Ref: Bremermann's paper
OPTIMIZATION THROUGH EVOLUTION AND RECOMBINATION*
H. J. Bremermann
Part I. Limitations On Data Processing Arising From Quantum
Theory
Part II. Evolution Processes and Optimization
Part I is pertinent to the derivation of the limit and to
its implications for the Mind-Brain issue.
