Physics
Acquisition, not assembly: the classical manufacture problem for a boost-holonomy time machine, and the three routes to obtaining one
The matter in a boost-holonomy time machine can be assembled, but the identification cannot be manufactured by the known classical routes. The paper maps the three acquisition routes and states the 3+1 proof gap.
Jonathan Schemoul
The working organ of a boost-holonomy time machine is not matter. It is the identification of the covering space by a Lorentz boost. The dust envelope can be specified, gated and assembled; the identification is a global, discrete, causally invisible structure.
The paper reviews the known classical routes and finds them blocked or constrained: the Carroll-Farhi-Guth-Olum energy argument, the Deser-Jackiw-‘t Hooft and Cutler constraints, Geroch topology change, and topological censorship. The thesis is an argument with an explicit 3+1 proof gap, not a theorem. The known classical routes are blocked or constrained; a complete 3+1 proof is open.
Three acquisition routes remain: primordial inheritance from quantum-gravity foam followed by inflation and survival, quantum nucleation, or reproduction inside an existing machine’s CTC region. Route A is called classical-compatible because it begins in the quantum-gravity era and needs no new identification-creating mechanics. The inflation and boost-quotient survival gap is stated as open.
Key results
- The matter side is specified and gated; the identification is the unmanufacturable organ.
- Known classical routes are blocked or constrained, with a 3+1 proof gap.
- Three acquisition routes: primordial inheritance, quantum nucleation, reproduction.
- Route A is classical-compatible; the inflation survival gap is open.
Status and limits
This is a 22-page content-complete argument. The 3+1 CFG proof is an explicit gap, and the acquisition survey is observational. It has not been submitted or peer reviewed.