docs: Change to 6x6 track parameter covariance to include time

[andiwand]

I think we rarely work with a 5x5 covariance matrix and the time parameter is already introduced above.

Summary by CodeRabbit

• Documentation
  • Updated the tracking.md document with enhanced explanations on track parametrization and covariance matrices.
  • Expanded the covariance matrix to a $6 \times 6$ format to include time as a parameter.
  • Improved clarity and coherence of the content, including restructured sections and maintained visual aids.
  • Refined descriptions of numerical integration techniques and uncertainty handling in particle propagation.

[coderabbitai]

Walkthrough

Significant modifications made, they have, to docs/tracking.md. Expanded, the covariance matrix's dimensions are, from $5 \times 5$ to $6 \times 6$, with time ($t$) included. Updated equations for covariance added, enhancing representation of uncertainties. Clarity and coherence improved, sections restructured, and figures maintained for support. Emphasis placed on accurate modeling of geometry and material interactions in high-energy physics experiments. Comprehensive and precise, the document now is, regarding track reconstruction methodologies.

Changes

File	Change Summary
docs/tracking.md	Expanded covariance matrix from $5 \times 5$ to $6 \times 6$; updated equations; improved clarity and structure; maintained figures; refined descriptions of numerical integration and uncertainty handling.

Poem

In the realm of particles, swift and bright,
A matrix expanded, now takes flight.
With time now included, uncertainties clear,
Track reconstruction, we hold dear!
Clarity shines, like a guiding star,
In high-energy physics, we’ve come so far! ✨

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📥 Commits

Reviewing files that changed from the base of the PR and between 0476744 and 3b29462.

📒 Files selected for processing (1)

• docs/tracking.md (1 hunks)

🔇 Additional comments (1)

docs/tracking.md (1)

100-110: Approve these changes, I do!

Expanded correctly, the covariance matrix has been, hmm. Include the time parameter now, it does, with proper mathematical representation, yes. Symmetric and complete, the matrix remains, maintaining its elegance, it does.

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[acts-project-service]

✅ Athena integration test results [04190ae]

✅ All tests successful

status	job	report
🟢	report_pull_request
🟢	run_workflow_tests_run4_mc
🟢	run_workflow_tests_run2_mc
🟢	run_workflow_tests_run2_data
🟢	run_workflow_tests_run3_mc
🟢	run_workflow_tests_run3_data
🟢	test_ActsDumpGeometryIdentifiers
🟢	test_ActsCheckObjectCountsWorkflowHgtd
🟢	test_ActsCheckObjectCountsCachedWorkflow
🟢	test_ActsCheckObjectCountsWorkflow
🟢	test_ActsEFTrackFit
🟢	test_ActsPersistifySeeds
🟢	test_ActsBenchmarkWithSpot
🟢	test_ActsAnalogueClustering
🟢	test_ActsWorkflowHeavyIons
🟢	test_ActsWorkflowFastTracking
🟢	test_ActsWorkflowCached
🟢	test_ActsWorkflow
🟢	test_ActsValidateAmbiguityResolution
🟢	test_ActsValidateResolvedTracks
🟢	test_ActsValidateTracks
🟢	test_ActsValidateActsCoreSpacePoints
🟢	test_ActsValidateActsSpacePoints
🟢	test_ActsValidateSeeds
🟢	test_ActsValidateOrthogonalSeeds
🟢	test_ActsValidateClusters
🟢	test_ActsPersistifyEDM
🟢	test_ActsGx2fRefitting
🟢	test_ActsGSFRefitting
🟢	test_ActsKfRefitting
🟢	test_ActsExtrapolationAlgTest
🟢	test_ActsITkTest