Representing Organizational Conservation of Information - Enterprise Information Systems Design, Implementation and Management: Organizational Applications - page 136

Figure 1. The checkerboard illusion (Adelson, 2000). The brain constructs the shadowed area in checker
square B as being much lighter than is the darkened square in A. However, both are the same darkness.
To confirm, print out a copy and cut out one square and slide it over the other. Alternatively, by joining
the squares marked A and B with two vertical stripes of the same shade of gray, it becomes apparent
that both squares are the same. Yet, another way to prove this is to use a photometer, which shows that
the two squares have exactly the same illuminance

MAtheMAtics. conserVAtion
of inforMAtion (coi)

socio-psycho-geospatial operators A and B such
that: 2

We have written this paper with non-mathematical
readers in mind. The more difficult aspects we have
moved to footnotes. And wherever mathematics
is found, we try to restate in simpler terms when
possible.
A Hilbert Space (HS) is an abstract space de-
fined so that vector positions and angles permit
the calculations of distance, reflection, rotation
and geospatial measurements, or subspaces with
local convergences where these measurements
can occur. That would allow real-time determina-
tions of the situated, shared situational awareness
in localizing the center of a target organization,
σ x-COG , to represent the shared uncertainty in
social-psychological-geospatial terms, and σ k to
similarly represent the spatial frequencies of an
organization's patterns displayed across physical
space (e.g., the mapping of social-psychological
or organizational spaces to physical networks).
It would establish an “oscillation” between two

[ A,B ] = AB - BA = i C ≠ [ B,A ]. (1)

This type of an oscillation defines a social-psy-
chological decision space within an organization.
It is called an “oscillator” because decision-making
occurs during rapid-fire turn-taking sessions that
“rotate” attention for the topic under discussion
in the minds of listeners or deciders first in one
valence direction (e.g., “endorsing” a proposi-
tion) followed by the opposite (e.g., “rejecting”
a proposition) to produce a “rocking” or back and
forth process, like an organizational or social-
psychological harmonic oscillator (SPHO) within
an organization, or like the merger and acquisition
(M&A) negotiations between a hostile predator
organization and its prey target (see the example
of a “rocking” oscillation in Figure 2 below, right).
But these oscillations may not occur in the minds
of the agents who are driving the discussion (e.g.,
oscillation occurs in the minds of neutral jury