Conservation of Information and e-Business Success and Challenges: A Case Study

Theory

We review the state of interdependence theory and the evidence in support of it. This section engages in mathematical modeling. Whenever possible, we will summarize the results to minimize the need by readers for mathematics to better understand the material. In fact, the conclusion to draw is that understanding is a byproduct of a strongly independent worldview; an interdependent worldview, should one exist, precludes the existence of a “single understanding” or “situational analysis”. Instead, the conclusion is that in an interdependent world, single perspectives or worldviews reflect human and cultural tradeoffs coupled to a residual, irreducible level of uncertainty. A single perspective in isolation is static, but two together, existing in a state of interdependence (ι), can produce a potent dynamic. What follows is our approach to a theory of ι.

In sum, dynamics are the result of competitive behaviors represented by the existence of two mutually incommensurable view points (Republicans and Democrats; conservatives and liberals; market economists and socialists; etc.). These polar opposite views serve many key but seldomly appreciated functions in society: Under conflict, we learn better (Dietz et al., 2003); we make better political decisions (e.g., Coleman, 2003); and we make better economic decisions (Hayek, 1944). But how can this conflict be modeled? And what relationship can be established to winning and losing across social, political or market landscapes?

A Hilbert Space (HS) is an abstract space defined 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 determinations 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 socio-psycho-geospatial operators A and B such that