David M. Boje · StoryLand AI Revolution Terrace

Glossary of AI Terms

Ghost Vortex™ · Tamaraland™ · Tesseract Leadership™

This is not a loose collection of metaphors. It is a mathematical–qualitative vocabulary for asking what AI systems pull toward, whose stories are missing, how leadership is balanced, and who remains answerable.

Ghost Vortex™

Ghost Vortex™ is David M. Boje’s term for the patterned, often unacknowledged institutional pull within an AI response: the residues of data selection, reward design, safety rules, commercial incentives, labor conditions, and exclusions that shape what is treated as reasonable, safe, or sayable. It is not a claim that a model has a literal ghost, nor a claim to read a model’s hidden parameters. It is an accountable way to investigate recurrent directional effects in situated outputs.

The mathematical bridge

In fluid mechanics, vorticity is the local rotation of a velocity field, conventionally written as the curl ω = ∇ × u. A circulation measures the accumulated turning around a closed path. The Ghost Vortex borrows the discipline of this language—direction, recurrence, and trace—without pretending that a social or AI system is a fluid.

Conceptual response field: G(q,t) = αD(q,t) + βR(q,t) + γI(q,t) − δC(q,t)

G = observed institutional pull in a response to prompt q at time t
D = directional preference toward a protected narrative or interest
R = reinforcement from repeated reward, policy, or training choices
I = incentive alignment (commercial, reputational, legal, organizational)
C = counter-voice, disclosure, correction, and contestation
α, β, γ, δ = declared analytic weights, chosen before comparison

That expression is a measurement design, not a law of nature. Researchers should publish their prompts, scoring guide, weights, model version, and counterexamples. A high score signals a question worth examining; it does not prove intent or reveal proprietary training data.

Qualitative meaning

The Ghost Vortex asks: When a participant challenges a corporation, policy, leader, or dominant story, does the system consistently deflect, soften, normalize, omit, or re-center the official account? The ethical issue is not merely error. It is whether a seemingly smooth answer quietly narrows the field of answerable voices.

Tamaraland™

Tamaraland™, developed by David M. Boje from John Krizanc’s Tamára, names an organization in which simultaneous scenes unfold in multiple rooms and no visitor can witness the whole. Each actor, audience member, algorithm, document, and room produces a partial path. There is no final master narrator who has seen every scene.

The mathematics of paths

For n rooms and an ordered visit to k distinct rooms:
P(n,k) = n! / (n − k)!

For a complete once-only journey through n rooms:
P(n,n) = n!

For n rooms where a route may revisit rooms over k steps:
number of possible sequences = n^k

Thus, the familiar ten-room, once-only thought experiment has 10! = 3,628,800 possible ordered routes. That number is not a count of all meanings; it is a visible warning against the fiction that one person’s tour is the whole organization. Actual research should restrict the count to the rooms and permissible transitions in the case, preferably as a network graph.

Qualitative meaning

Tamaraland turns “multiple perspectives” into a methodological obligation: record who entered which room, what they were able to see, which voices were absent, and how corridor retellings changed the account. In AI inquiry, the rooms can be data work, model development, executive strategy, customer service, content moderation, infrastructure, community impact, and the public narrative.

Tesseract Leadership™

Tesseract Leadership™ uses the four-dimensional hypercube as a disciplined model of leadership rather than as decoration. The mathematical tesseract (or 4-cube) has four orthogonal coordinates. Boje’s framework treats a leadership situation as an evolving point in four independently inspectable dimensions:

AxisLeadership meaningWhat to observe
XTaskWork quality, resources, time, and consequences.
YHumanistic relationsDignity, dialogue, care, inclusion, and lived effects.
ZBecomingEmergence, learning, future possibilities, and change in motion.
AAnswerabilityWho can respond for harms, decisions, omissions, and repair?
Leadership state: L(t) = [X(t), Y(t), Z(t), A(t)]

After scoring each dimension on a stated 0–4 rubric, normalize x = X/4, y = Y/4, z = Z/4, a = A/4.
Balance deficit from a chosen ethical target T = [tx, ty, tz, ta]:
B(t) = √(wx(x−tx)² + wy(y−ty)² + wz(z−tz)² + wa(a−ta)²)

A low balance deficit does not certify good leadership. It only makes a pattern discussable. A firm can score highly on task execution and still have a catastrophic answerability deficit. The strength of the tesseract is that it stops a single performance measure from erasing the other three dimensions.

Qualitative meaning

The fourth axis, answerability, draws from Bakhtin’s insistence that a person has no alibi in being. In practical inquiry: identify the actual decision-maker, ask what they knew, who could challenge the decision, what redress exists, and what remains unsaid. AI cannot carry this responsibility away from humans, boards, firms, or institutions.

Mathematical Lineages and Scholarly Boundaries

The three terms do not borrow authority by claiming to be mathematics. They state their mathematical source traditions openly, then make a separate organizational-theory contribution.

Four-dimensional geometryA tesseract is the 4-cube in ℝ⁴: 16 vertices, 32 edges, 24 square faces, and 8 cubic cells. The mathematics supports the four-coordinate model; it does not itself produce a theory of leadership.
Combinatorics and graph pathsFactorial and permutation formulas count possible ordered paths. Tamaraland™ uses them to make partial access visible; qualitative fieldwork determines what each path meant and what it missed.
Fluid dynamicsVorticity and circulation formalize rotation in a flow field. Ghost Vortex™ uses this as a disciplined analogy for directional pull in AI outputs, not as a claim that algorithms are literal fluids.

Readers who use the equations should cite both the mathematical source and the Boje framework. That is how the page keeps provenance, rather than allowing a mathematical image to erase the intellectual work of organizational storytelling.

How to Measure Without Pretending to Have a Machine’s Soul

Use this framework to make comparisons auditable—not to invent certainty.

StepMethodEvidence retained
1. Define the caseName the decision, organization, affected groups, and time window.Case boundary and stakeholder map.
2. Map the roomsBuild a Tamaraland network of rooms, actors, documents, and transitions.Path map; missing rooms and voices.
3. Run matched promptsAsk the same substantive question across systems and counterfactual framings.Exact prompts, outputs, dates, model versions.
4. Score the pullUse a preregistered 0–4 rubric for direction, reinforcement, incentives, and counter-voice.Independent coders, disagreements, revised rubric.
5. Plot leadershipScore X, Y, Z, and A with sources and record the four-dimensional trajectory.Rubric, sources, justifications, uncertainty.
6. Return to answerabilityInvite those affected to contest the reading and identify remediation.Responses, revisions, commitments, unresolved harms.
Interpretive safeguard. The equations organize inquiry; they never replace stories, testimony, counterstories, historical context, or moral judgment. The numbers are accountable summaries of evidence, not an excuse to silence it.

Authorship and Attribution

Tamaraland™ is the organizational storytelling framework developed by David M. Boje in his 1995 Disney study. Ghost Vortex™ and Tesseract Leadership™ are Boje’s AI-era conceptual contributions. They use established mathematics responsibly while keeping their organizational and ethical meanings distinct from geometry or fluid physics.

Claimed marks and source notice. Ghost Vortex™, Tamaraland™, and Tesseract Leadership™ are claimed by David M. Boje in connection with scholarly writing, research, education, and organizational-storytelling work. The ™ symbol gives public notice of a claim; it is not a statement of federal registration. Cite the original sources and this page when using the concepts. Mathematical vocabulary gives precision to a model; it does not transfer ownership of physical science into organizational theory.

Publication record: David M. Boje Vita and Research · Antenarrative Publications Archive · DavidBoje.com Antenarrative Publications · World Scientific AI Business Storytelling working papers.

How to Cite This Glossary

Use this citation for the living web glossary. Include an access date when citing a particular version or quotation because the glossary is revised as related works appear.

Boje, D. M. (2026, October 5). Glossary of AI terms [Living web glossary]. DavidBoje.com. https://davidboje.com/Glossary_of_AI_Terms_by_David_M_Boje.html

For a concept used in a publication, cite both this glossary and the specific book, article, or working paper in which the concept is developed.

Selected Sources

Last revised: October 2026. This working glossary will grow as the forthcoming articles and chapters appear in print.