Total Entropy Invariance
For each sector X, the total entropy S_X is mu-independent: dS_X/dmu = 0, with dS_X^vis/dmu = -dS_X^hid/dmu. Every gain in visible entropy is a loss in hidden entropy. The total sector entropy is a boundary invariant, not a readout-dependent quantity.
What this page is
This is a public Results-lane surface for a noteworthy Physics Registry item. It is generated from the Corpus Registry triage catalogue and keeps the generic Result catalogue unchanged.
Registry evidence
- Registry item: IV.P170
- Type: proposition
- Scope: tau-effective
- Lean status: formalized
- Book / part / chapter: Book IV · Part 2 · Chapter 14
Result summary
For each sector X, the total entropy S_X is mu-independent: dS_X/dmu = 0, with dS_X^vis/dmu = -dS_X^hid/dmu. Every gain in visible entropy is a loss in hidden entropy. The total sector entropy is a boundary invariant, not a readout-dependent quantity.
Related Results surfaces
- No existing public Results surface is linked yet; this record is promoted as a standalone Registry-backed result.
Reading role
Read as a standalone Registry-backed noteworthy result.
Claim boundary
This page reports a Registry-backed internal result surface. It is not an external validation claim, a scientific consensus claim, or independent acceptance.
Curation rationale
- physics-facing terms: entropy
- result-facing terms: readout
- theorem/proposition-class item appears externally legible enough for standalone review
Review notes
- No additional review notes recorded.