07 TSTOEAO 167X Research Program Technical Addendum: h_min Sensitivity Recalculation Sheet for F_boundary Simulation
07 TSTOEAO 167X Research Program Technical Addendum:
h_min Sensitivity Recalculation Sheet for F_boundary Simulation
The Swygert Theory of Everything AO (TSTOEAO)
DOI: To be assigned
John Swygert
May 24, 2026
Abstract
The F-Factor Simulation Protocol, Parameter Collapse and Sensitivity Stability Protocol, Anti-Circularity Checklist, and Γ Recalculation Worksheet established the forward-calculation pathway for testing the TSTOEAO-specific enhancement term F_boundary. This technical addendum provides a standardized h_min Sensitivity Recalculation Sheet that must be completed and reported for every F_boundary simulation run.
Its purpose is to enforce transparent, non-circular calculation of the predicted strain amplitude h_min directly from the derived confinement functional Γ, after F_total has already been computed from the model. The sheet ensures that h_min is always calculated forward from the simulation rather than used to tune F_boundary, Γ, or any upstream parameter.
No claim is made that any simulation has yet produced a detectable h_min or that any apparatus has yet satisfied the sensitivity requirements for a decisive 167X test. The purpose is to make every predicted strain value auditable, reproducible, and consistent with the anti-circularity discipline established across the 167X Research Program.
1. Purpose of This Addendum
This sheet closes the final link in the simulation chain:
F_boundary → F_total → Γ → h_min
The Γ Recalculation Worksheet computes Γ from the derived enhancement factor. This addendum then uses that Γ value to compute the predicted strain-domain amplitude *h_min(f)**.
It forces every simulation to show explicitly:
what Γ value was derived from the prior worksheet;
what peak or effective peak power P was used;
what temporal confinement interval Δt was used;
what h_min(f)* follows from those values;
what detector sensitivity would be required for a decisive test;
whether the configuration has any realistic path toward experimental evaluation;
whether ordinary-regime behavior remains consistent with no anomalous strain.
This sheet must be used together with:
the Anti-Circularity Checklist;
the Γ Recalculation Worksheet;
the Parameter Collapse and Sensitivity Stability Protocol.
The central rule is:
h_min must be calculated from Γ. It must not be used to tune Γ.
2. Difference from Paper 06
Paper 06 answers:
What Γ follows from the derived F_boundary and F_total?
Paper 07 answers:
What h_min follows from that Γ, and what detector sensitivity would be required to test or falsify the result?
Therefore, this addendum does not repeat the purpose of Paper 06. It begins only after Γ has already been calculated.
The sequence is:
06: F_boundary → F_total → Γ
07: Γ → h_min → 5 × h_min → detector sensitivity requirement
This distinction is essential because the falsification framework from Ledger Entry #9 depends not only on whether Γ ≥ 167 is reached, but also on whether an apparatus can achieve sensitivity better than:
5 × h_min
3. Core Formula
The predicted lower-bounded strain-domain response from the 167X Prediction Ledger is:
h_min(f) ≈ 1.7 × 10⁻²³(Γ / 167)(P / 1 PW)¹ᐟ²(10⁻¹⁵ s / Δt) Hz⁻¹ᐟ²*
where:
h_min(f)* is the predicted strain-domain response at the target frequency;
Γ is the forward-derived confinement functional;
P is peak or effective peak power;
Δt is temporal confinement duration;
f* is the predicted resonance-centered frequency;
f ≈ 0.83 GHz*.
The required detector sensitivity for a decisive falsification test remains:
h_sens < 5 × h_min
A simulation may produce a valid h_min value even if no realistic apparatus can yet reach the corresponding sensitivity.
That distinction matters.
The sheet does not ask whether the prediction is easy to test.
It asks what sensitivity the prediction requires.
4. h_min Sensitivity Recalculation Sheet
4.1 Simulation Identification
Simulation ID / Run Name: ______________________________
Run Date: ______________________________
Researcher / System: ______________________________
Checklist Version Used: ______________________________
Γ Worksheet Version Used: ______________________________
Ψ(η) Function Used: ______________________________
Simulation Classification:
Confirmatory-Eligible / Exploratory / Invalid for Support / Failed but Informative
5. Forward-Derived Inputs
These values must come from prior worksheets or pre-registered inputs.
6. h_min Calculation Table
7. Ordinary-Regime Strain Check
The ordinary-regime condition is mandatory.
If the system approaches ordinary expressed behavior:
η → 0
then:
F_boundary → 1
and the anomalous 167X strain contribution should collapse toward the standard expectation:
no anomalous tabletop strain-domain signal near f beyond conventional noise and artifacts.*
Report the result:
When η → 0, does the anomalous h_min contribution collapse toward the GR-null / standard-physics expectation?
Yes / No
Evidence / Plot / Calculation Reference: ______________________________
If No, classify the run as:
Exploratory / Failed / Invalid for Support
A model that predicts anomalous strain in ordinary regimes cannot be used as support unless it explains why such effects have not already been observed or excluded.
8. Anti-Circularity Status
Attach or complete the Anti-Circularity Checklist.
Anti-Circularity Checklist Status:
Passed / Failed
If Failed, classify the run as:
Exploratory / Invalid for Support
Was h_min used to tune Γ, F_boundary, η, κ, Λ, Ψ(η), β, η_c, N_eff, P, or Δt?
Yes / No
If Yes, the run may not be used as confirmatory support.
The valid order remains:
F_boundary → F_total → Γ → h_min
not:
desired h_min → Γ → F_boundary
9. Parameter Discipline Scores
Report the required scores from the Parameter Collapse and Sensitivity Stability Protocol.
Parameter Burden Score (PBS): ________
Viability Score (VS): ________
Parameter-Space Classification:
Nonviable / Overflexible / Constrained Viable / Unstable
Perturbation Stability Category:
Stable-Constrained / Stable-Overbroad / Fragile / Runaway / Ordinary-Regime Failure
10. Interpretation of h_min Result
10.1 If h_min Is Detectable in Principle
If the computed h_min produces a falsification threshold that a plausible detector could reach, the run may be considered experimentally promising only if:
the Γ Recalculation Worksheet is complete;
the Anti-Circularity Checklist passed;
ordinary-regime behavior passed;
PBS and VS were reported;
parameter-collapse and sensitivity-stability results are acceptable;
the target band near f ≈ 0.83 GHz* is pre-registered.
A detectable h_min value is not automatically supportive.
It is supportive only if it is forward-derived, constrained, and tied to a valid experimental protocol.
10.2 If h_min Is Not Detectable in Practice
If the computed h_min requires detector sensitivity beyond current or proposed apparatus capabilities, the run may still be valid.
It may show that:
Γ is too low under tested assumptions;
Δt or P assumptions are insufficient;
F_boundary is too weak;
conventional F components are insufficient;
the predicted signal is currently impractical to test;
the model requires stronger boundary-control conditions.
Such a result should not be discarded.
It should be preserved as part of the parameter-space record.
A non-detectable h_min is not necessarily a falsification.
It may be a feasibility limitation.
11. Usage Rules
All future h_min calculations must obey the following rules:
h_min must be calculated forward from Γ.
h_min may not be used to choose Γ.Γ must come from the Γ Recalculation Worksheet.
It cannot be inserted as a desired target unless clearly labeled as hypothetical.P and Δt must be pre-registered.
These values may not be modified after seeing h_min.The frequency target must remain pre-registered.
The expected band remains f ≈ 0.83 GHz* unless a future derivation revises it transparently.The falsification threshold must be stated.
Every h_min value must be accompanied by 5 × h_min.Detector feasibility must be classified.
State whether the required sensitivity is realistic, speculative, or currently unreachable.Ordinary-regime behavior must be checked.
Anomalous strain should collapse toward null expectation as η → 0.A non-detectable h_min is still valid data.
It may weaken feasibility without falsifying the prediction.A detectable h_min is not automatically support.
It must satisfy the full anti-circularity and parameter-collapse framework.All sheets must be preserved.
Failed, exploratory, and promising runs should remain part of the research record.
12. Required Reporting Block
Every simulation report should include the following summary block:
Simulation ID: ______________________________
Γ: ______________________________
P: ______________________________
Δt: ______________________________
f:* ≈ 0.83 GHz
h_min: ______________________________
5 × h_min: ______________________________
Required Detector Sensitivity: ______________________________
Sensitivity Condition h_sens < 5 × h_min: Yes / No / Not Evaluated
Ordinary-Regime Strain Check: Passed / Failed
Anti-Circularity Checklist: Passed / Failed
PBS / VS: ______________________________
Run Classification: ______________________________
Short Interpretation: ______________________________
13. Relation to Ledger Entry #9
Ledger Entry #9 established the comprehensive falsification framework.
This h_min sheet supplies one of its required inputs: the actual predicted strain value for a given simulation or apparatus configuration.
A decisive falsification test requires:
verified Γ ≥ 167;
pre-registered f ≈ 0.83 GHz* target band;
calculated h_min for actual Γ, P, and Δt;
detector sensitivity better than 5 × h_min;
artifact controls;
blind analysis;
replication standards.
Therefore, this sheet is not optional.
Without a transparent h_min recalculation, no experiment can claim to meet the falsification threshold.
14. Relation to the Maturity Index
The Maturity Index classifies h_min as an M3-level experimentally parameterized prediction.
A completed h_min Sensitivity Recalculation Sheet supports that status by showing:
h_min is numerically computed;
h_min depends on declared variables;
detector sensitivity requirements are explicit;
falsification conditions are calculable;
feasibility can be assessed transparently.
If h_min is repeatedly recalculated using post-hoc or inconsistent assumptions, the maturity status weakens.
If h_min is computed consistently across simulations and apparatus models, the maturity status strengthens.
15. Next Steps
The immediate next steps are:
integrate this sheet with the Γ Recalculation Worksheet;
complete one h_min sheet per simulation run;
preserve sheets for failed, exploratory, and promising runs;
build a combined Γ / h_min reporting package;
prepare the Open Collaboration Note for Optical / Metrology Reviewers;
use completed sheets to update the Maturity Index;
use sensitivity outputs to evaluate whether any apparatus path is experimentally meaningful.
16. Conclusion
This technical addendum provides the standardized h_min Sensitivity Recalculation Sheet for F_boundary simulation.
Its purpose is simple:
make every predicted h_min value auditable.
The sheet does not prove the 167X prediction.
It prevents the predicted strain amplitude from being asserted without transparent calculation.
The required order is fixed:
compute F_boundary;
compute F_total;
compute Γ;
compute h_min;
compute 5 × h_min;
then evaluate detector sensitivity.
If h_min is too small to test, the result still matters.
If h_min is testable, the result still must pass anti-circularity, parameter-collapse, and artifact-control requirements.
The standard is not convenience.
The standard is transparent sensitivity accounting.
Not proof.
Not completion.
A worksheet for honest h_min.
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