Paper III (Frame Geometry): Gaasu Frame Geometry (GFG)A non-coercive diagnostic layer for post-closure frame comparison, using Fisher information drift distance

Paper III (Frame Geometry): Gaasu Frame Geometry (GFG)

A non-coercive diagnostic layer for post-closure frame comparison, using Fisher information drift distance

Good morning,
I’ve released Paper III (GFG) on Zenodo.

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A plain-language summary (for general readers)

In Paper I / II, I fixed two core observables for stability and risk:
• P_lock: a probability-style indicator of whether a system is staying in a “locked / stable” regime
• lambda: a non-negative “risk slope” proxy, describing how fast the lock condition is deteriorating

Paper III (GFG) adds one missing ingredient: distance.

In simple terms, GFG makes it possible to measure:
• how far the risk state has moved (drift distance)
• how fast it is moving (drift speed)
• whether it is changing direction (turning behaviour)

The key point is scope:

This is not a control tool.
It is a diagnostic layer designed to make early signs of instability easier to read.

It is explicitly intended as non-coercive / non-surveillance / non-manipulative:
a way to observe drift, not to force outcomes.

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Why “post-closure”?

In this project, “closure” means the core definitions are fixed and not rewritten.
• Paper I (Core) closes the foundational definitions and collision governance.
• Paper II (post-closure map) integrates GGS as a non-mandatory diagnostic programme.

GFG is a post-closure module:
it does not modify the Core; it adds a transparent method to compare “frames” (ways of reading the same system) once the theory is closed.

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For researchers / postdocs (compact technical overview)
• Fixed (Core inheritance):
P_lock(tau;T), lambda(tau;T), and Gamma moment matching parameters (k_G, theta_G) are unchanged.
• New (GFG):
define the Gamma risk state
r_risk(tau) = (k_G(tau), theta_G(tau)),
and introduce a Fisher metric on this state space.
• We then define:
• drift distance: dF(tau,dtau)
• drift speed: vF(tau,dtau)
• turning proxy: turnF(tau)
• window length: LF(W)
• Non-coercive frame comparison (transparent rule):
calib_G(W;T) + drift/turn + complexity penalty
-> frame adequacy index S_G(W;T)
• Output / governance:
Strict ASCII, no LaTeX, UK English, copy-paste robust.

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Links

Zenodo record:
https://zenodo.org/records/18053937

Short link:
https://lnkd.in/g6YtgDmD

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Tags

#Ikigaku #QCRM #GaasuFrameGeometry #InformationGeometry #FisherInformation
#ComplexSystems #RiskDiagnostics #NonCoercive #Preprint #Zenodo

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Thank you for reading. This post was edited and organised with help from an AI assistant (“Bahamut”). Responsibility for the content remains with the author.