Holotomial
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Section 5    Foreword     *2D-Potential     *3D-Potential     Dynamics     Bifurcation    Time-Reset     Bit-Stock
 

5.5

 ----- Bifurcation

 

In a perspective view, executing a program can actually be seen as a car drive entering the future.

 

Bifurcation points will appear as choices which can only be resolved at crossing time

Planning embeds classical uncertainties - that can be reflected by statistical variances - and also uncertainties that will raise or be resolved only at doing-times.

In example, markets are typically made of clients statistically known as loyal but also of an undecided part who may change its mind any time: a press article or a "buzz" may suddenly confront a project within an unexpected path.

Both the unexpected variations and the undecided populations may be visually surveyed and accounted in clusters while their balances will be maintained in the records - i.e. via [u] accounts.

So the critical space changes and threads can be visually detected and decisions can be investigated on the screen in liaison with balanced accountings forecasts.

 

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Parallelism : Differential management - KPI - System dynamics - System evolution


Differential management - KPI

At driving a car, we are highly sensitive to small or instantaneous variations of the environment even when we are steadily looking far ahead.

The fact that that our views arrow the time in a perspective allows to propose a survey - i.e. of the KPI (Key Performances Indicators) and balanced business indexes - in a similar differential manner.

This utilizes the geometrical property that enables to project time series into closed and finite clusters.

The two examples here below show that time series can be transformed in closed clustered zones where time variations can be visually recorded and graded.


System dynamics

The two figures here above provide with a good support to illustrate operational system dynamics management and practices - say to exemplify the difference between what we named "SD-Drive" and "SD-Management".

In the first figure, the daily operations had to sometimes cope with dangerous variations but they could get back "in the green". The mean trends did not required for long-term targets adjustments.

In the second figure, the daily operations have been more often "deeply in the red" so that the alert belled more often. It indicated first that the operational team "as-it-is" could not actually cope with the current trends (SD-Drive).

In second, as the situation lasted for too long, it indicated also a sound trend shift - say the mean dropped nearly 50% - so that the long-term targets had to be reviewed.

In term of holotomial analysis, it turned that the configuration space had changed so much that it had to be re-mapped.

It is a current experience that what we called "SD-Management" requires more study, investigation or engineering - say more "seating works" - while what we named "SD-Drive" is more talking to people, answering the phone or traveling at various places - say more "running works".

The advantage of the perspective view is to provide the two work styles with a common communication support.


System evolution

System evolution is classically referred as the system components evolutions - say motions - described from a given frame - or configuration - of reference taken as a view point of observation.

The recognition - or the concept - that a system evolution may have an influence on the frame - or configuration - of reference itself has been - slowly - proposed and accepted in several fields - i.e. like in life sciences and some socio-economic domains, even physics is "weakly" recalling for it with background-independent visions - i.e. like Einstein or more recently Lee Smolin who has been quoted - to our understanding - to recall for a configuration space evolution from the stand point of the string theory.

If you are not a scientist but only someone with a bit of life experience, we may also accept that a given organization schema - that is an organizational configuration - mostly stand efficient for a while or for a given set of conditions - i.e. a group size - but finally "always" needs to be corrected or amended because of its obsolescence.

We have not soundly tackled the problem of systems evolution per se but we are highlighting that particles motions may induce changes in the configuration space itself and vice versa - i.e. for the only reasons that - in the holotomial analysis - a configuration of reference is reflecting particles densities and that particles are also themselves configurations.

This paragraph is here also to underline that - in any configuration - particles can "capture" particles, particles can "liberate" particles and particles can "combine" with particles so that an initial system configuration may after a "while" become obsolete and translated within another one.

We do not argue that this implies system evolution but we assess that an holotomial analysis may allow system evolutions.