The methodology of recursion of a dichotomy (and so 'Yin/Yang') guarantees
detection of 'wave' patterns etc regardless of scale when we also include
indeterminacy. When we operate out of our XOR (Exclusive OR) perspective,
ignoring the realm of the integrated, the whole, the holistic, the organic,
we will create what appear to be paradoxes - not due to these being part
of reality, but due to the ignorance of our onsciousness re its origins
and so PARTIAL nature when compared to the HOLISTIC nature of our species
- and so our senses and instincts/habits.
IOW our experiments will take on a form ("AS INTERPRETED") one
step removed from "AS IS" reality and assume that form to be
"AS IS" - those experiments can then elicit 'paradox' due to
the failure to recognise the XOR/AND dynamic going on in our heads as
part of the PART/WHOLE processing.
(For a GENERAL coverage, with references to neuroscience research, of this wave perspective see the page:
"Wave Dichotomies : Meaning from Frequencies, Wavelengths, and Amplitudes" )
The Quantum Mechanics experiments are of the same form as our brains dealing
with sensory paradox, another XOR/AND issue (as covered in http://www.iimetro.com.au/~lofting/myweb/paradox.html
- the generalisation of that dynamic into our thinking allows us to confuse
part/whole dynamics in more abstract models - consider http://www.iimetro.com.au/~lofting/myweb/species.html
)
Given the recursion of ANY dichotomy to 26 - 64 states - and
combine that with indeterminacy as to LOCAL distributions, a probabilities
mapping will emerge that is 'wave-like' in expression. (if we use LESS
than 26 the pattern is not strong, if we use MORE the pattern
does not change, it just gets bolder).
BTW note that the Schrödinger wave equation is a mathematical construct
that is a dimension of probabilities of particle X being in state/position
Y out of the range of POSSIBLE states - the probabilities mapping reflects
the dimension elicited out of recursion of the probabilities - either
as 0/1 or as -1/+1. This set of UNIVERSALS is then sorted into 'bestfit/worstfit'
ordering and measurement then indicates ONE of these out of the full SET
as being 'best fit', but the others are also possible and in being so
contribute to the 'whole' measurement.
If you map out the 64 possible states from recursing a dichotomy to 26,
and then fold-in indeterminacy in distributions we get a pattern of 27
peaks/troughs. 19 of which are 'superposition' states, 8 are invariant
over the transformation (since the recursion is open-ended, IOW we can
run the experiments 'forever' so the patterns that are generated just
get bolder).
If you review carefully the POSSIBLE events for EACH trial in a double-slit
experiment we have:
(t1) L XOR R
(t2) L XOR R
(t3) L XOR R
Etc
Etc
If at each moment a particle goes through EITHER slit A XOR slit B. We can represent these as Yin or Yang to show the patterns of development of hexagrams etc.
If you then add some memory source then the set of POSSIBLE events becomes
dependent on previous such that we get:
L XOR R = L / R
L XOR R = LL, LR / RL, RR
L XOR R = LLL, LLR, LRL, LRR / RLL, RLR, RRL, RRR
Etc etc etc
When we add indeterminacy we skew perceptions by trying to stay at one
level. We can see this come out with the MINIMUM configuration possible
with indeterminacy - a PAIR - we cannot reduce past that.
The moment we move to a PAIR we move from a differentiating position to
an integrating position if we insist on keeping the notion of a 'pair'
rather than accept that we have lost resolution power such that the 'pair'
does not exist.
Lets review the pairs (also in the form of I Ching 'digrams'):
LL (yinyin)
LR (yinyang)
RL (yangyin)
RR (yangyang)
If you read the literature on Quantum Mechanics, the LL and RR position
are replaced by L and R with no consideration of ORDER of the elements
in the pair. BUT, order becomes an issue with LR vs RL. What the literature
indicates is that these orderings are ignored (since they cannot be determined
due to the lose in resolution -- this is like doing the marble exercise
but only focus on pairs of marbles to ensure 'indeterminacy')
The moment you ignore LR/RL and clump them into a category X, so we have
moved resolution from fours into threes. BUT the L and R mappings are
considered as 'definite' since mathematics allows for two of the same
to be folded into one of the same. SO we have definite L, definite R,
INDEFINITE X. (iow we are confusing SAMENESS with DIFFERENCE - we reduce
LL and RR to representations of sameness, but try to do the same for LR
and RL when they are in fact eternally DIFFERENT - we just cannot detect
it. This distortion means we are operating within the realm of BETWEEN-ness,
between FOUR or TWO categories that are 'whole' just different in resolution
- as such we are focusing on the space 'in between' 1 and 2 AS IF that
space is 'whole' when in fact it spans 'in between'.)
This dynamic guarantees 'interference' patterns. To demonstrate, lets first
map out the POSSIBLE states: first column is the set of POSSIBLE 64 patterns
of LR dynamics (and so the 64 hexagrams of the I Ching ordered from 000000
to 111111; note that the numbers below are NOT the traditional I Ching
numbers). Second column is the 'compression' of that pattern into patterns
of three symbols, each representing a PAIR in the original, where LL =
L, RR = R and RL + LR = X (this being a source of distortion):
(01)LLLLLL - LLL
(02)LLLLLR - LLX
(03)LLLLRL - LLX
(04)LLLLRR - LLR
(05)LLLRLL - LXL
(06)LLLRLR - LXX
(07)LLLRRL - LXX
(08)LLLRRR - LXR
(09)LLRLLL - LXL
(10)LLRLLR - LXX
(11)LLRLRL - LXX
(12)LLRLRR - LXR
(13)LLRRLL - LRL
(14)LLRRLR - LRX
(15)LLRRRL - LRX
(16)LLRRRR - LRR
(17)LRLLLL - XLL
(18)LRLLLR - XLX
(19)LRLLRL - XLX
(20)LRLLRR - XLR
(21)LRLRLL - XXL
(22)LRLRLR - XXX
(23)LRLRRL - XXX
(24)LRLRRR - XXR
(25)LRRLLL - XXL
(26)LRRLLR - XXX
(27)LRRLRL - XXX
(28)LRRLRR - XXR
(29)LRRRLL - XRL
(30)LRRRLR - XRX
(31)LRRRRL - XRX
(32)LRRRRR - XRR
(33)RLLLLL - XLL
(34)RLLLLR - XLX
(35)RLLLRL - XLX
(36)RLLLRR - XLR
(37)RLLRLL - XXL
(38)RLLRLR - XXX
(39)RLLRRL - XXX
(40)RLLRRR - XXR
(41)RLRLLL - XXL
(42)RLRLLR - XXX
(43)RLRLRL - XXX
(44)RLRLRR - XXR
(45)RLRRLL - XRL
(46)RLRRLR - XRX
(47)RLRRRL - XRX
(48)RLRRRR - XRR
(49)RRLLLL - RLL
(50)RRLLLR - RLX
(51)RRLLRL - RLX
(52)RRLLRR - RLR
(53)RRLRLL - RXL
(54)RRLRLR - RXX
(55)RRLRRL - RXX
(56)RRLRRR - RXR
(57)RRRLLL - RXL
(58)RRRLLR - RXX
(59)RRRLRL - RXX
(60)RRRLRR - RXR
(61)RRRRLL - RRL
(62)RRRRLR - RRX
(63)RRRRRL - RRX
(64)RRRRRR - RRR
Reviewing the RIGHT column we find we have lost resolution power such that
there are many duplicates. When we move along this column, grouping the
duplicates in the area of their duplication we get 27 groups - 8 of which
have one member each, reflecting a 'perfect translation', 19 are what
can be called 'superpositions', different forms now sharing the space
due to the loss in resolution. Graph all of this and we get:
THAT is a wave interference pattern in the SAME form as we get in QM
etc etc (we can use double slits, down converters, polarisers etc etc
- same method overall in eliciting POSSIBLE distributions)
If we take into consideration the XOR/AND dynamics of our brains in paradox processing, so the LEFT column reflects
XOR and the right column reflects AND. In such paradox as the Necker cube,
the right column is the 'complex line drawing' and the left column the
two cubes we detect trying to share the same space. This dynamic is not
just limited to vision, it is also present in audition etc. and as such
appears to reflect a fundamental nature of our brains - XOR/AND dynamics.
THAT nature then gets into our experiment designs without awareness of
what we are doing, and we end up with 'paradox' where there is none.
ANY experiment set up in this fashion, with a method of storing the results
will give us a 'wave interference' pattern in the AND position DERIVED
from the XOR dynamics in the left column.
The point being that as the left column is XOR to the right column's AND,
so each entry in the left column is an AND in its own right, reflecting
the expression of ALL of the other entries in that column.
What this shows us is the implicit wave-ness still present in the seemingly
discrete elements in the left column. (the left column can be used to
represent the left hemisphere as the right column can be used to represent
the right hemisphere - this left/right dichotomy of course applies all
the way down the scale of the neurology, form temporal/parietal dynamics
in each hemisphere to axon/dendrite dynamics across the whole neurology
etc)
Now move to the level of how we CATEGORISE and the XOR/AND dynamic continues
- be it in the MBTI or in human emotions or in the I Ching or in types
of numbers in Mathematics. (And so the IDM model
of how we derive meaning IN GENERAL)
No matter what level of recursion you are at, the set of elements recursed
contribute to the expression of EACH category, and that contribution is
extractable using XOR/AND dynamics - IOW there is a LOT more to categories
then just a sequence of 'types' that we then flesh-out ad-hoc, we do in
fact have access to a spectrum of qualities for each!
From the abstract level of the L/R dichotomy applied recursively, I can
extract the '53-ness' of EACH category in the above list using XOR/AND
processing. By this I mean that due to the entanglement of all qualities
so each will reflect all others in some way or another. Thus pattern 53
contributes to the expression of each of the other patterns and we can
detect this - the WHOLE that is the XOR column is in fact COMPRESSED into
the WHOLE that is the AND column. Our CONSCIOUSNESS is more associated
with XOR dynamics and as such is one step removed from the AND column
that is representative of our integrated species-nature.
The two columns show us the PRECISION issues we experience, where our left-column
consciousness is more precise than our right-column speciesness but in
that precision thinks it is reality "AS IS" when in fact it
is reality "AS INTERPRETED". This bias feeds into our thinking
in general about reality and so we can create paradox where there is none.
(as such "AS IS" reality is reflected in the photographic plate)
If we review the 'wave' pattern diagram above, we note that there are eight 'troughs', each containing, from the I Ching perspective, a single hexagram. These hexagrams represent qualities 'invarient' under change - whereas all of the other positions are 'superpositions', containing 2, 4, or 8 hexagrams.
The eight hexagrams in their order are:
02 - 000000
20 - 000011
62 - 001100
33 - 001111
19 - 110000
61 - 110011
34 - 111100
01 - 111111
If we compress these hexagrams they form into the TRIGRAMS.
000000 becomes 000
000011 becomes 001
001100 becomes 010
001111 becomes 011
110000 becomes 100
110011 becomes 101
111100 becomes 110
111111 becomes 111
In other words we witness in this 'compression' exercise the invarience of the core 'meanings' associated with the trigrams.