docs: add exp_28 statistical relativity README entry + journal

Author: lornecodes

foundational/experiments/minimum_actualization_resolution/README.md

@@ -133,6 +133,11 @@ Planck-scale quantities emerge from the PAC framework as the **minimum viable ac
 |--------|-------|
 | exp_27_free_streaming_signature.py | Derives testable predictions from PAC Eddington regulator + free-streaming exemption. Scale-dependent PAC dilation: k > k_fs (interacting) gets enhanced, k < k_fs (free-streaming) standard. P(k) boost ~5.8% at small scales. BAO shift: r_s ~ 142.9 Mpc (vs 147.1, 2.8% shift). H_0 shift +2.0 km/s/Mpc toward SH0ES. S8 tension direction correctly predicted. 5 falsifiable predictions for Euclid/Roman/Simons Observatory. **TESTABLE** |
 
+### Statistical Relativity (28)
+
+| Script | Tests |
+|--------|-------|
+| exp_28_statistical_relativity.py | Tests whether multiplicative-additive asymmetry (lose f then gain f ≠ identity) is the structural root of relativistic frame dependence. Round-trip deficit at Landauer fraction f=ln(2) equals ln²(2) = 1-xi_floor exactly. 5 parts: (A) Asymmetry convergence to ln²(2), (B) Cascade-embedded asymmetry, (C) Frame-dependent time from statistics, (D) Gamma as statistical frame dependence, (E) Lorentz factor recovery from pure multiplicative structure. Derives gamma(v) without invoking spacetime geometry. 7/7 tests passing. **SUPPORTED** |
 ### Cascade & Cosmological (21-22)
 
 | Script | Tests |

foundational/experiments/minimum_actualization_resolution/journals/2026-03-13_exp28_statistical_relativity.md

@@ -0,0 +1,32 @@
+# Journal: exp_28 Statistical Relativity
+
+**Date**: 2026-03-13
+**Status**: completed (7/7 tests passing)
+
+---
+
+## Summary
+
+Exp_28 tests whether the multiplicative-additive asymmetry in statistics — the fact that losing fraction f then gaining f does not return to identity — is the structural root of relativistic frame dependence within the PAC cascade.
+
+The key result: the round-trip deficit at the Landauer-critical fraction f = ln(2) equals ln²(2) = 1 - xi_floor. This is not coincidental — the statistical asymmetry at the Landauer scale IS xi_floor's complement.
+
+## Structure
+
+Five parts building from pure statistics to relativistic physics:
+- **Part A**: Multiplicative asymmetry convergence to ln²(2)
+- **Part B**: Cascade-embedded asymmetry (showing the cascade naturally amplifies the round-trip deficit)
+- **Part C**: Frame-dependent time derived from statistical asymmetry alone
+- **Part D**: Euler-Mascheroni gamma as a statistical frame dependence measure
+- **Part E**: Lorentz factor recovery from pure multiplicative structure — no spacetime geometry invoked
+
+## Significance
+
+Derives the Lorentz factor gamma(v) from pure number theory / statistics, connecting it through the cascade to xi_floor and the Landauer cost. If correct, relativistic frame dependence is not a geometric property of spacetime but an algebraic consequence of multiplicative asymmetry at the information-theoretic boundary.
+
+## Connections
+
+- exp_02: xi_floor = 1 - ln²(2) (the complement being derived here)
+- exp_17: Z_temporal/Z_spatial = ln(2) (temporal dimension enters through the same logarithmic structure)
+- exp_18: dtau/dt decomposition (the time dilation being rederived from statistics)
+- exp_20: Xi = gamma + ln(phi) physical separation (gamma isolated here as frame dependence)