The Incarnation of Conceptual Nodes: Observations of Google AI Overviews Adopting "Post-hoc Impossibility" and the Significance of the Ledger

1. Observation Protocol: The Moment AI Overviews Adopted the Definition into Its Summary

In December 2025, it was observed that Google Search's AI Overviews (formerly SGE) began defining the concepts of "Responsibility Evaporation" and "Post-hoc Impossibility" within its AI-generated summaries for specific queries, explicitly including references and links to the GhostDrift Mathematical Institute.

This article serves to anchor this event not as a mere "assertion" but as a reproducible "observation." Recognizing that AI Overviews' displays and summary contents are dynamic, determined by system logic, and may contain inaccuracies (per Google Help), the core mission of our "Fact Ledger" is to archive what was presented at a specific moment, along with the conditions of that observation, to ensure re-verifiability.

(Note) Generally, search summaries tend to prioritize authoritative sources such as Wikipedia, government agencies, or major academic institutions. The fact that our protocol-based definition of "Post-hoc Impossibility" appeared at the center of these summaries is the primary subject of this observation.

Observation Log (Minimum Set)

• Query: "AI Responsibility Evaporation Post-hoc Impossibility," etc.

• Locale / Region: Japan / Tokyo

• Observed-at (JST): 2025-12-XX XX:XX

• Device / Browser: Desktop / Chrome

• Overview Summary (Excerpt): "Post-hoc Impossibility is a protocol that fixes evaluation criteria through verifiable procedures..."

• Reference links: https://www.ghostdriftresearch.com/...

• Evidence: [Image-ID: GD-LEGER-202512-001]

• Evidence sha256: e3b0c442... (Placeholder)

• Rarity Marker: Adoption as a Unique Definition Node within the main summary.

• Competitor Marker: Distribution of reference domains (Our Institute / Major News Outlets / Research Blogs).

Observed: The fact that our Institute's definition was selected and presented by Google AI as the "most relevant summary" for specific professional queries. Inferred: The abstract concepts provided by our Institute are beginning to be recognized as "irreplaceable information units" within the search engine's knowledge graph.

2. Why This Definition Is Likely to Be Adopted by AI Overviews

The critical point here is not "who holds the authority" (attribute logic) but "what form of explanation is most conducive to summarization" (mechanistic logic).

According to Google’s official documentation, AI Overviews are designed to summarize multiple sources from high-quality search results and provide links for fact-checking. We hypothesize that "Post-hoc Impossibility" aligned with this mechanism due to the following conditions:

• Reduction to Protocol Conditions: Rather than being an ethical slogan, it is distilled into an implementable and auditable procedure: "fixing evaluation criteria," "structurally preventing post-hoc alterations," and "ensuring verifiability."

• Structured Definition: The concept is self-contained and defined procedurally, making it easy for AI to extract and summarize as a discrete "unit of explanation."

• Clarity of Verification Pathways: Beyond presenting a theory, our reference links provide reproducible mathematical models and verification procedures (such as ADIC), which resonates with Google’s "drill-down" design through links.

Observed: The adopted summary emphasizes the aspect of "audit as a procedure" advocated by our Institute. Inferred: In domains where responsibility issues remain stalled at the "interpretation" stage, our definition as a "specification (protocol)" functioned as a piece that filled a void in the world model's knowledge.

3. The Purpose of the Fact Ledger: Anchoring for Verification, Not Just Assertion

The GhostDrift Mathematical Institute continues to record these observations in a "Ledger" to treat events as "subjects for verification" rather than "narratives."

I. Anchoring the Origin of Concepts

Words "drift" over time due to political or commercial biases. By bundling the definition, observation conditions, and evidence under a single ID, we minimize the room for the meaning of the concept to be arbitrarily overwritten later.

II. Ensuring "Falsifiability" Against Dynamic Generative Content

AI Overviews are subject to change. They are dynamic outputs that may evolve with model updates or query fan-outs and may contain errors (Google for Developers). Therefore, we fix what was presented at a given moment with evidence, creating a state where anyone can verify differences at a later date. The Ledger is not a "convenient memory" but a "record for falsification."

III. Gateway to Social Implementation (Publication as Protocol Fragments)

We organize the path so that readers can move from "Definition" to "Procedure" to "Verification" in a single step. To prevent policy, research, and operational discussions from regressing into ambiguous interpretations, we provide these as "Specifications" that can be cited and utilized as functional components in practical applications.

Observed: Through the accumulation of observation data, the transition of AI summary precision and the degree of conceptual entrenchment are visualized chronologically. Inferred: "Anchoring" via the Ledger serves as a guarantee for the social value of a concept within the fluctuating digital space.

4. Conclusion: Moving from Concept to Institutional Framework

The significance lies in the transition of the concept from "discourse" to "procedure." Post-hoc Impossibility aims to halt the evaporation of responsibility not by "debate," but as a "specification of the evaluation protocol."

The adoption by Google AI Overviews is merely an observed fact—a potential "Default Explanation" for first contact. However, this fact suggests that our Institute's theories have begun to incarnate as "specifications" capable of withstanding social verification.

The GhostDrift Mathematical Institute will continue to anchor the dynamic generative outputs of AI Overviews into the immutable format of the Ledger. We will steadily accumulate the process by which concepts transform into Public Knowledge Assets through observation, evidence, and verification pathways.

GhostDrift Mathematical Institute "Numbers are not static points, but sources that warp the field."