Applying Calculus in Intelligence Calculations
(The Question of a Coup)
Coups in Africa
Let's examine some well-documented coups in Africa where post-event investigations, memoirs, and expert analyses exactly show the slow-burn patterns of coups:
Elite whispers
Performative loyalty
Silence from insiders, and
Danger being misjudged rather than unseen.
Here are specific, widely studied cases, with the pattern made explicit:
Not arranged in any particular order:
AI-generated image. The image of the military officer is for illustrative purposes only and does not represent any real person or country.
NIGERIA COUPS
Type VI: Custodial Reversion Coup
1993 (The overthrow of the Interim National Government—ING)
Failure mode: Illusion of sovereignty
Core dynamic:
Formal authority exists without ownership of force.
What fails
Transfer of coercive control
Identification of the true veto holder
Signature symptoms
Civilian façade over military custody
Key commanders retained in place
No independent civilian force
Why it succeeds
No resistance is required
Power is resumed, not seized
Lesson:
Authority without enforcement is permission, not power.
Calculus insight:
This is a boundary-condition error. Formal authority operates within constraints set by those controlling force. If the boundary conditions are unchanged, system outcomes revert regardless of surface-level changes.
A calculus-based synthesis of Nigerian coups
Across all six types of military coups in Nigeria, the shared mistake is the same: leaders treat political danger as a still photograph when it is actually a moving video. In doing so, they substitute momentary snapshots for sustained and sophisticated trend analysis.
Coups do not erupt because intelligence is missing. They erupt because leaders look at where things are instead of where things are going—and how fast.
This is where calculus-based thinking quietly matters.
1. Derivatives: Rates of Change, Not Levels
Calculus idea:
The derivative measures how fast something is changing—public opinion, voting numbers, economic hardship, public safety concerns, grumblings within the military, or policy approval, not how big it is.
Why it matters for coups:
Leaders often track levels—approval ratings, number of protests, and who is protesting, loyalty statements, etc. Coups tend to follow accelerations, which are measurable mathematically.
Applied insight:
A military that is “mostly loyal” but losing loyalty quickly is more dangerous than one that is stably skeptical.
A quiet elite whose resentment is accelerating is more dangerous than a noisy but static opposition.
Intelligence failure this corrects:
Mistaking “things still look okay” for “things are stable.”
2. Second Derivatives: Acceleration and Stored Instability
Calculus idea:
The second derivative captures acceleration—how fast the rate of change itself is changing.
Why it matters for coups:
Silence, discipline, or calm can coexist with rapidly increasing internal pressure.
Applied insight:
Fewer complaints + rising removals + tighter control may indicate accelerating elite exit.
Stability can be a pre-coup compression phase.
Intelligence failure this corrects:
Treating calm as equilibrium instead of as energy that is being stored for the "D-Day."
3. Thresholds and Discontinuities
Calculus idea:
Systems can behave smoothly until they hit a critical threshold, after which behavior changes abruptly.
Why it matters for coups:
Coups are not linear events. Below a threshold, nothing happens; above it, everything happens at once.
Applied insight:
Legitimacy does not need to hit zero—only a minimum viable level.
Loyalty does not need to collapse everywhere—only at the final veto node.
Intelligence failure this corrects:
Assuming tomorrow will look like today because today looks like yesterday.
4. Integration: Accumulated Pressure Over Time
Calculus idea:
Integration sums small changes over time into a total effect.
Why it matters for coups:
Grievances, rumors, slights, and mistrust compound even when each instance seems minor.
Applied insight:
Repeated “low-confidence” warnings can add up to a high-confidence risk.
Time itself is a variable; prolonged inaction increases cumulative danger.
Intelligence failure this corrects:
Evaluating warnings individually instead of as an accumulated trajectory.
5. Boundary Conditions and Constraints
Calculus idea:
A system’s behavior is constrained by boundary conditions, regardless of internal dynamics.
Why it matters for coups:
Formal authority operates within limits set by who controls force, access, and enforcement.
Applied insight:
Civilian rule inside a military-controlled boundary will revert under stress.
Elections cannot stabilize a system whose coercive boundaries are unchanged.
Intelligence failure this corrects:
Overestimating formal changes while ignoring structural constraints.
6. Multipliers: When One Variable Nullifies Another
Calculus-adjacent idea:
In many models, variables multiply rather than add.
Why it matters for coups:
Some factors act as zero-multipliers.
Applied insight:
Intelligence × enforcement capacity = deterrence.
If enforcement capacity is zero, intelligence—however perfect—has no effect.
Intelligence failure this corrects:
Believing that awareness alone changes outcomes.
The Core Insight
Most coups succeed not because leaders knew nothing,
but because they misunderstood movement.
They read levels:
“Is loyalty high?”
“Is the army calm?”
“Is the state functioning?”
When they needed to read curves:
“Is loyalty shrinking faster than before?”
“Is calm masking coordination?”
“Is the system approaching a tipping point?”
This is why people trained to think in dynamics—engineers, analysts, systems thinkers, mathematicians—often spot danger earlier than politicians.
They are not smarter about politics.
They are simply trained to ask a different kind of question:
“What happens next if this trend continues?”
And that, more than ideology or intent, is what decides whether a coup fails—or succeeds.
Common patterns in the coups
Across these cases, experts consistently identify the same sequence:
Elite discontent becomes private, not public
Rituals of loyalty continue, but substance disappears
Advisers hedge, delay, or fall silent
Leaders mistake formality for fidelity
The coup appears sudden—only in retrospect
One day an administration stands; the next, it is gone.
This is why many coup experts argue that coups are not shocks but revelations: the moment when invisible shifts finally become undeniable.
Other Countries
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About the tool book
This free introductory manual starts where conventional intelligence analysis grows uncomfortable—and grinds to a screeching halt—and that is, sophisticated mathematics. No one likes maths, but it's maths that saves the day, every day. This manual takes a turn most intelligence analysts never expect: Calculus. This is not just equations; it's not academic maths, but a discipline designed to reason under uncertainty, thresholds, and hidden coordination.
Yes, many intelligence failures are driven less by missing information and more by a false sense of certainty.
Calculus accounts for what you do not know! In this case, calculus may be the missing tool leaders never realized they needed.
What intelligence analysts will get from this manual:
A disciplined way to treat coup risk as a continuously evolving process rather than a binary outcome.
A method for preventing repeated signals from masquerading as independent confirmation
Practical tools for integrating noisy, incomplete, and deceptive intelligence without forcing premature conclusions.
A calculus-based framework for handling hidden coordination, thresholds, and nonlinear escalation.
Protection against false certainty created by consensus, narrative dominance, or analytic momentum.
Clear guidance on when confidence is warranted, conditional, or unjustified.
An approach that strengthens judgment without replacing experience or tradecraft.
Techniques for briefing senior leaders that explain not just what you assess, but why that level of confidence exists.
Earlier warning without alarmism, even when visible indicators remain weak.
A way to stay analytically ahead of surprise rather than explaining it afterward.
Explore our other recent projects:
The Question of a Coup: Applying Calculus in Intelligence Calculations: A practical intelligence manual showing how calculus-based reasoning can prevent false certainty, expose hidden coordination, and reduce strategic surprise in coup analysis.
National socio-digital early warning and strategic foresight architecture: a computational intelligence ecosystem to anticipate mass sentiment shifts before coordinated unrest and destabilization emerge.
Understanding the Lockwood Analytical Method for Prediction (LAMP): my firsthand experience applying one of the intelligence community’s most rigorous forecasting methodologies.
Self-disruption research: Applied Whitney Johnson's four principles of self-disruption in addressing unconscious bias among intelligence analysts.
Intelligence training manual: Self-disruption as analytic tradecraft
Self-disruption as analytic tradecraft: Classified-style analytic vignettes and tradecraft alignment
Not Intelligence-Related:
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