# Learner lab record: ZPF spectral-response and null-test bound

Course: Zero-point-field inertia programs

Name: ____________________  Date: ____________________  Group: ____________________

## Investigation question

How does a declared vacuum-response spectrum map to an inertial coefficient, and what experimental null result constrains it?

## Setup

Use the ZPF-response workspace. Declare the Gaussian response center, width, amplitude, cutoff, and effective volume; integrate the modeled coefficient, then compare a composition modulation with an experimental uncertainty bound.

## Variables

| Variable | Role | Unit |
| --- | --- | --- |
| Response center, width, and amplitude | model inputs | frequency and dimensionless |
| Spectral cutoff and effective volume | regularization/geometry inputs | frequency and volume |
| Response-derived mass coefficient | dependent model output | kg |
| Composition contrast and experimental bound | test diagnostics | dimensionless |

## Predict before changing controls

1. Predict how shifting response toward higher frequency changes a quartic-weighted integral.

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2. Predict when a null experiment excludes rather than merely fails to resolve the model.

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## Observation table

| center | width | cutoff | effective volume | modeled mass | predicted contrast | bound | decision |
| --- | --- | --- | --- | --- | --- | --- | --- |
|   |   |   |   |   |   |   |   |
|   |   |   |   |   |   |   |   |
|   |   |   |   |   |   |   |   |
|   |   |   |   |   |   |   |   |
|   |   |   |   |   |   |   |   |
|   |   |   |   |   |   |   |   |

## Analyze

1. Which assumption regularizes the spectral integral?

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2. How sensitive is the coefficient to cutoff and response shape?

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3. Does the model include QCD and binding contributions to observed mass?

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4. Which systematic could imitate composition-dependent inertia?

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## Evidence-bounded conclusion

The declared response produced mass coefficient ___ and contrast ___; compared with bound ___, this parameter point is ___ under assumptions ___.

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