Hi there! I understand you're experiencing an issue with your Australian ETA application, specifically an unending loop when processing your passport. Let's work together to resolve this matter.

1. Initial Checks: Can you tell me what steps you've already taken? Have you tried refreshing the application screen or logging out and back into your account? Sometimes these simple steps can help.

2. Clearing Browser Cache: If you haven't done so already, clearing your browser's cache can help resolve issues related to loading. Here’s how you can do that on your OS X device:
- Open Safari.
- Click on “Safari” in the menu bar, then select “Preferences.”
- Go to the “Privacy” tab and click “Manage Website Data.”
- Click “Remove All” to clear cached data.

3. Check for Updates: Make sure your browser and the OS are up to date. Sometimes, issues can arise from outdated software.

4. Try a Different Browser: If the problem persists, try accessing the ETA application from a different web browser or using a private browsing window.

5. Contact Support: If none of the above solutions work, it might be a good idea to reach out to the support team for further assistance. You can email them at [email protected]. Make sure to include details about your issue for quicker resolution.

If you would like, I can help you find more information on similar issues. There have been cases documented where applications were stuck due to the system's processing times or needing additional documents. You can check out experiences shared by others here: Reddit thread on ETA processing issues and Tripadvisor discussion.

Let me know how it's going, and if you have any additional information to share! Are you satisfied with the solution I provided?