88
E.J. Brändas
considerations and assessments, see e.g. the excellent account of the science of music that goes back to the very remote periods of history including the Neanderthal
flute by Maruani et al. [48]. On the ecological level, semiotic investigations concern
the anthropogenic impact on our climate. Even if we have succeeded to reduce the
patterns of communication to a principle that defines “the self” and that it is “the
self” that, in our representation, is the director of its cell-based orchestra, there still
remain puzzles. The director acts as a scheduler of the partiture and participates
in the upgrading, hence the director-composer becomes a member of the Universal
Composers’ Guild that includes the universality of knowledge and coding, i.e. information in its semiotic-, anthropogenic- and self-referential connotation. Therefore
far and beyond the macro- as well as by and within the microscopic level concealed
and unrequited questions are hiding: What is the origin of teleonomy? Is the composition of the universal symphony a built in property of our Universe? Our present
conjecture portrays evolution as a natural physical law founded on the principle of
self-reference.
In discussing the cosmological category of the chart above, it is necessary to provide a more penetrating assessment of the general concept of teleology. The concept was largely in disrepute until the work of Mayr [8, 49], where he categorized
various types of teleology, but unfortunately ruled out the cosmological domain.
A surprising relationship between propositional logics (Gödel’s theorem [21]), STN
(then referred to as coherent dissipative structure) [11, 12], and Einstein’s theory of
general gravity [50], were suggested, proved and exploited [11–13, 37]. The relation suggests a general heuristic Gödelian arrow of time [51] and then a Gödelian
structure of the general “codes of codes”. Using this allegory, communication on all
levels, can be characterized as Gödelian absentia, see also Deacon’s analogy, i.e. the
concept of the absential as a paradoxical intrinsic property of existence with respect
to something missing and as a defining attribute of life and mind [10].
Note that Penrose [52] unequivocally considered the Gödelian theorem(s) of
mathematical logic, the latter asserting the inherent limitations of all nontrivial systems, in connection with the main positions of Artificial Intelligence, AI. The critique of his view, i.e. essentially that appropriate physical action of the brain, evoking awareness, can not be properly simulated computationally, has been unforgiving
from the philosophical community, but all the same the logically based view finds
support in the light of the present report, see also [11, 12] for an earlier account.
It is quite compelling to recognize that our present project rests on analogies with
Gödel’s work in propositional logic, which unexpectedly did lead to a consistent formulation of gravity [11–13, 37] without any inclusion of a cosmological constant.
Nevertheless Gödel is famous also for another paradox [53], namely his cosmological solution to Einstein’s field equations [50]. Since this example results in a metric,
which allows closed time loops; it implies that Einstein’s general relativity supports time as being ideal rather than subscribing to our own primitive intuition. This
paradox can be eliminated, however, by the realization that our present operatorconjugate operator method rules out the Gödel metric on account of its dependence
on the cosmological constant. As already demonstrated in Ref. [54], the relativistic Kepler problem, e.g. the perihelion movement of Mercury can here be given a
E.J. Brändas
considerations and assessments, see e.g. the excellent account of the science of music that goes back to the very remote periods of history including the Neanderthal
flute by Maruani et al. [48]. On the ecological level, semiotic investigations concern
the anthropogenic impact on our climate. Even if we have succeeded to reduce the
patterns of communication to a principle that defines “the self” and that it is “the
self” that, in our representation, is the director of its cell-based orchestra, there still
remain puzzles. The director acts as a scheduler of the partiture and participates
in the upgrading, hence the director-composer becomes a member of the Universal
Composers’ Guild that includes the universality of knowledge and coding, i.e. information in its semiotic-, anthropogenic- and self-referential connotation. Therefore
far and beyond the macro- as well as by and within the microscopic level concealed
and unrequited questions are hiding: What is the origin of teleonomy? Is the composition of the universal symphony a built in property of our Universe? Our present
conjecture portrays evolution as a natural physical law founded on the principle of
self-reference.
In discussing the cosmological category of the chart above, it is necessary to provide a more penetrating assessment of the general concept of teleology. The concept was largely in disrepute until the work of Mayr [8, 49], where he categorized
various types of teleology, but unfortunately ruled out the cosmological domain.
A surprising relationship between propositional logics (Gödel’s theorem [21]), STN
(then referred to as coherent dissipative structure) [11, 12], and Einstein’s theory of
general gravity [50], were suggested, proved and exploited [11–13, 37]. The relation suggests a general heuristic Gödelian arrow of time [51] and then a Gödelian
structure of the general “codes of codes”. Using this allegory, communication on all
levels, can be characterized as Gödelian absentia, see also Deacon’s analogy, i.e. the
concept of the absential as a paradoxical intrinsic property of existence with respect
to something missing and as a defining attribute of life and mind [10].
Note that Penrose [52] unequivocally considered the Gödelian theorem(s) of
mathematical logic, the latter asserting the inherent limitations of all nontrivial systems, in connection with the main positions of Artificial Intelligence, AI. The critique of his view, i.e. essentially that appropriate physical action of the brain, evoking awareness, can not be properly simulated computationally, has been unforgiving
from the philosophical community, but all the same the logically based view finds
support in the light of the present report, see also [11, 12] for an earlier account.
It is quite compelling to recognize that our present project rests on analogies with
Gödel’s work in propositional logic, which unexpectedly did lead to a consistent formulation of gravity [11–13, 37] without any inclusion of a cosmological constant.
Nevertheless Gödel is famous also for another paradox [53], namely his cosmological solution to Einstein’s field equations [50]. Since this example results in a metric,
which allows closed time loops; it implies that Einstein’s general relativity supports time as being ideal rather than subscribing to our own primitive intuition. This
paradox can be eliminated, however, by the realization that our present operatorconjugate operator method rules out the Gödel metric on account of its dependence
on the cosmological constant. As already demonstrated in Ref. [54], the relativistic Kepler problem, e.g. the perihelion movement of Mercury can here be given a