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technical sidenote #6d
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brian carroll  
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 More options Nov 28 2007, 11:52 am
From: brian carroll <neu...@electronetwork.org>
Date: Wed, 28 Nov 2007 10:52:47 -0600
Local: Wed, Nov 28 2007 11:52 am
Subject: technical sidenote #6d

wanted to clarify how this diagram was conceived of...

  1.gif
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the negative positive -(+) and the positive negative +(-).

  1a.gif
< 1K Download

on the number line, from zero to one, it could be imagined in
a few different ways. one of which is the following...

  1b.gif
< 1K Download

so, there is a type of upward curve to the positive number one.

  1c.gif
< 1K Download

the 'symmetry' of this situation could exist in a simple reflection,
across this zero boundary/point/threshold, as a type of mirroring...

  1d.gif
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and this could be imagined a basic approach to the number line
and how positive and negative could be constructed/considered.

yet there is another possible alternative, regarding symmetry and
mirroring which is more complex, which could also exist/co-exist...

  1e.gif
< 1K Download

consider the number line from -1 to +1 again, as it goes through
zero, and that this is going to be assumed 'curved' somehow...

  1g.gif
< 1K Download

one option, then, for this mirroring could be across this boundary,
as previously shown. yet, another option is that this could _appear
to be this type of mirroring (symmetrical) yet could be of a different
kind of symmetry or even asymmetrical. or so it is proposed possible.

  1f.gif
1K Download

for instance, it could be an illusion created by reflections, in which
the _actual relationship between -1 and +1 could be constructed
in the above diagram, of a downward curve and an upward curve,
yet this could seemingly appear, via reflection, as two upward curves.

  1i.gif
1K Download

  for instance, if the +1 upward curve were to be ~virtually mirrored
across this boundary/threshold of zero/neutral, it could begin having
its 'negative' functioning defined beyond this dividing line or point.

yet, there could be a more simple and a more complex 'negative'
that is involved, and this is of the positive negative and negative
negative varieties shown in the previous diagrams. and this is to
potentially relate to issues such as charge, even. because, what if
the movement of charge were to occur from a different realm of
the negative, in certain circumstances? what would that mean?

  1j.gif
1K Download

to consider this further, it is to imagine that there is a doubled
reflection or some type of 'rotational' reflection (if not twisting),
in which this double upward curve could be perceived (-1, 0, +1)
yet could also be constructed via a downward and upward curve
(-(-1), 0, +1). this is to consider that the number line could also
be imagined in terms of moving from +1 to -(-1), as a normal
process of considering how this zero/neutral point may function.

  1h.gif
1K Download

in  other words, what if the mathematics of zero were involved
in this 'other' -1 which could be generated via symmetries, that
could twist and turn or rotate the relations, around this zero point?
and what if this was _normal for the mathematics of zero, say?

these diagrams are only attempting to signify this possibility, as
an option, and are confused as to nomenclature, as to how to
name this process or functioning in terms of pluses and minuses.
it is, in other words, conceptual and something to consider, as a
potential issue which may or may not be relevant to questioning.

though it does have precedent, from none other than Plato as
mentioned in the Republic regarding reflections of letters of the
alphabet in water, as they relate then to mathematics. and it is
in this way that the same idea can be more clearly considered...

  b.gif
< 1K Download

the letter 'b' here will stand-in for the positive number one (+1).
and it will be considered in the same way as an upward curve.

  bd.gif
< 1K Download

its reflection across this zero point or dividing line or boundary,
it's mirroring, then, could be seen to generate a letter 'd' via this
other side of the number line (-1). so, a type of d as negative b.

  2.gif
< 1K Download

here's with the plus and minus signs added, (-1, 0, +1). so, the
issue here is that who's to say that this relation between positive
and negative is only being constructed along this given axis and
not another? that is, how can it be known for certain that what is
shown as a reflection of b+, on the negative side, is the negative
of b+ (that is, d) and not some other aspect left unaccounted for?

for instance, the symmetry between d|b is obvious, yet it is not
the only symmetry involved or capable or establishing this b...

  3q.gif
< 1K Download

or, more accurately, it is possible that this 'd' is ~virtual to some
extent and part of a reflection of a secondary symmetry which
may or may not be considered asymmetrical with b (that is, q).
that is, as q relates to b (that is, q/b).  or, more fully, as q/b via

_d_
   q

in other words. it is possible that this relation between b as it
exists in its positive condition (+1 or +b) could be related to
either of these two negative options (d or q) due to different
types of symmetric and asymmetrical dynamics, which also
seem to include rotation as an option. who's to say which of
these -1's is the 'normal' option in terms of a number line,
from -1, 0, +1:

                d, 0, b (upward curves)
or:
                q, 0, b (downward/upward curves)

both of these options could be considered -1, 0, 1, given
varying degrees of complexity and geometrical dynamics.
the issue of nested reflections if not a type of superposition
of possibilities could be imagined, where the more complex
option can contain the simpler option, or helps construct it.

  3.gif
< 1K Download

so, the signage here is probably inaccurate as 'math', yet the
basic idea is of this doubled mirroring that could feasibly be
imagined to occur in a number line, or so it seems possible,
given issues of mirroring, reflection, and symmetries involved.

the gist of this, then, is to consider an idea like an electron and
an anti-electron - who is to say this should only be automatically
assumed to exist in a d|b relation, in terms of -|+ dynamics, and
not a q/b dynamic, that is -(-)|+, via this boundary/threshold that
exists at zero or neutrality? when did this get figured out? else,
what if 'current' is flowing from q/b instead of from d/b, in some
way of approaching issues of the flow of charges, etc.

in any case, to go a next step into this, consider if rotation is
going to be defined via directionality and it is assumed to occur
from d to b, instead of q to b. or, more complexly...

  Untitled-14.gif
< 1K Download

  what if there were a doubling of this mirroring of 'b' in which
a rotation is occurring from q/b (negative to positive) yet could
also or otherwise be occurring from d/p, as a counterrotation?*

what if 'electricity' is not folowing from d|b in terms of negative
to positive movement, (-1 to +1), and instead from q/b? else,
what if it were to occur, also or otherwise, from

_b_
   p

across this threshold or boundary of symmetrical relations?
while this may seem or may be arbitrary, as a consideration,
it is not clear how this has all been figured out in terms of the
number line, (at least to me). in other words, this is trying to
get at the possibility that the movement between - and +, or
between -1 and +1 could take multiple paths through zero,
and this could include a rotational geometry if not asymmetric
mirroring which has a virtual relfective aspect or builds upon
another symmetry (as q builds on the mirroring of d and b).

so, ultimately, this is to question 'charge' to some extent,
or so it is imagined relevant even if verging on incoherence
and my own personal ineptitude at understanding why this
is irrelevant or should be more easily and clearly understood.

yet, in 'not knowing' about these things, it allows the questions
to open up new considerations, new potential or possible ways
of interpreting this situation. and so charge will be explored in
this way, including what 'electricity' could be considered to be...

{cont.}

---


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