# Learner lab record: Wormhole throat and source-requirements audit

Course: Warp metrics, wormholes, and energy conditions

Name: ____________________  Date: ____________________  Group: ____________________

## Investigation question

Which geometric, energy-condition, tidal, and traversal requirements must hold simultaneously for a modeled throat?

## Setup

Use the exotic-metric laboratory. Choose throat radius and shape derivative, test flare-out and radial null contraction, then vary traversal speed and tidal tolerance separately.

## Variables

| Variable | Role | Unit |
| --- | --- | --- |
| Throat radius and shape derivative | geometry inputs | m and dimensionless |
| Redshift/gradient scale | geometry input | 1/m |
| Radial null-energy contraction | source diagnostic | energy/volume |
| Tidal scale and crossing time | traversal diagnostics | 1/s² and s |

## Predict before changing controls

1. Predict the flare-out requirement at the throat.

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2. Predict how decreasing throat radius changes curvature and tidal scales.

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## Observation table

| throat radius | shape derivative | flare-out | radial NEC | tidal scale | speed | crossing time |
| --- | --- | --- | --- | --- | --- | --- |
|   |   |   |   |   |   |   |
|   |   |   |   |   |   |   |
|   |   |   |   |   |   |   |
|   |   |   |   |   |   |   |
|   |   |   |   |   |   |   |
|   |   |   |   |   |   |   |

## Analyze

1. Which condition is purely geometric?

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2. Where does NEC violation enter the Einstein-source ledger?

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3. Can acceptable crossing time coexist with the selected tidal limit?

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4. What stability and global-causality tests remain outside this model?

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## Evidence-bounded conclusion

The throat with r0=___ and b′=___ did/did not flare out; radial NEC was ___ and traversal diagnostic ___, so the model passes ___ but not ___.

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