Given a concept that observation causes or may cause a change in behavior (applying both in the physical and psycho-social sciences) reminds me of the social phenomena of social inertia (action-reaction, cause-effect, sowing-reaping). We can see an inversion or flip in either a person or society over time based on their observations and experiences in the world.
These might be examples of opposing forces with a possible attempt at 'gain':
The gay 90s lead up to world war 1
The roaring 20's turned into the great depression and world war 2
This might be an example of a flip-flop or inversion that latches up:
The Alcoholic who craves, the recovering alcoholic who 'fears' alcohol (same for any addictive, recovery phenomena)
in other cases, people or societies tend towards obsession in one direction or the other, the extreme ascetics, the liberal playboys. Some persons oscillate, blown about by every wind of doctrine. We are called to understand the Middle WAY and to build our house on a solid rock of understanding affixed to a firm foundation of precepts and principles.
The metaphysical question is how do we apply Biblical precepts to existence, active intervention and change to the psycho-social behaviors we see in self, other persons, cliques, social groups and entire societies ... does the earth revolve around us, are we sitting still, are we always relative to the 'moon', must we bow to the 'stars' and 'star-bucks', is our position relative to the sun and THE Son, etc. ... sorry for getting off on a tangent ...
I reviewed some equations and algorithms regarding acceleration, velocity, position and time, and the derivatives of acceleration to velocity, velocity to position and such like. Control theory concepts relating to speed, torque, and power ... etc etc ... Graphic models help best, animations such as zone has posted, geometric and trigonometric diagrams, and simple calculus models do help if we relate the psycho-social phenomenon to related physical parameters ...
Ken / Zone et. al.
Metaphysically speaking, how does one apply the house on the rock, the kingdom parables (particularly those relating to the sower and the seeds, the wheat and the tares, the talents as examples of active participation) and the steps of the sermon on the mount from existing in a state (humility - poor in spirit) to engagement (peacemakers) to entanglement (being persecuted for [witnessing to] (righteousness sake))
"The earth shall reel to and fro like a drunkard, and shall totter like a hut;
its transgression shall be heavy upon it, and it will fall, and not rise again." Isaiah 24:20
The Wise and Foolish Builders - Luke 6:46-49
“Why do you call me, ‘Lord, Lord,’ and do not do what I say? As for everyone who comes to
me and hears my words and puts them into practice, I will show you what they are like.
They are like a man building a house, who dug down deep and laid the foundation on rock.
When a flood came, the torrent struck that house but could not shake it, because it was well
built. But the one who hears my words and does not put them into practice is like a man who
built a house on the ground without a foundation. The moment the torrent struck that
house, it collapsed and its destruction was complete.”
Rambling a bit, in a sort of brainstorm for thought provocation and discussion, trying to relate 'our position' and 'spin' to scriptural and metaphysical and science/math related concepts ... jump in, or issue a cease and desist ...