[entropicTime 01/17] SpaceTime: entropic proper time with information dimension#19
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Summary
Adds the entropic proper-time layer separated from the upstream
ProperTimefile.Main Additions
This branch is PR 1/17 in the entropicTime review sequence.
It introduces the finite relative-entropy proper-time interface, the metric scaling
t_ent,metric = (ℏ/(k_B T_∞)) D(ρ‖σ),and the dimensionally consistent total proper time
τ_total = τ_geom + (ℏ/(k_B T_∞)) D(ρ‖σ).The branch also adds lapse/Tolman scaling for local entropic time, complex proper-time packaging, and the unit-level no-go theorem showing that an informational imaginary action cannot be treated as an ordinary scalar action without an independent
[I]information dimension.Fit Within The 17-PR Set
This is the base SpaceTime/units layer used by the later spine and review branches. Later PRs should build on these interfaces instead of redefining entropic proper time or information-dimension bookkeeping.