The Offset Speed Limit
Authors/Creators
Description
The Offset Speed Limit
Rate is weight: a record moves only as fast as the weight between allows
Projector geometry is blind to a rescaling of the generator and to an added constant, and a constant is read only as a difference between two clocks. The signed offset of a cut, tau = Tr[log(I-C) - log C], obeys a sharp speed limit tau_dot^2 <= 4 g S of Mandelstam-Tamm type, with an explicit equality case and a trajectory that meets it exactly; for one accessible mode the gap has a closed form. Since g is the coupling energy across the cut, |tau_dot| <= 2 sqrt(E_B S): a record moves only as fast as the weight between allows, and under a declared relaxation model only as fast as one pays in friction. The organising reading, rate is weight, is marked as a reading, and the strontium/thorium clock-pair test that would probe it is modelled.
Files: PDF, HTML, and a zip with scripts (including the clock models, rerun), outputs and figure sources.
Prepared with AI assistance (Claude, Anthropic): the ideas and direction are the author's; the computation, drafting and checking were done with AI tools.