Appendix W develops the higher-dimensional and information-theoretic foundations of the R-layer Mode Theory. The observable 4D spacetime is described as a projection of a timeless information manifold “X, on which all information states coexist without intrinsic temporal ordering.” Time is modeled as a non-invertible ordering morphism “T : ℝ → X” which sequentially reads static information from X, embedding irreversibility directly into the structure of the map. Space emerges from a stabilization morphism S : X → C, which selects relationally stable configurations and induces locality and effective dimensionality. Black holes correspond to regions where the 4D projection membrane dissolves and the higher-dimensional manifold X becomes exposed. Appendix W-A introduces AUP as a higher-dimensional access mode that partially decouples from 4D causal structure and mediates tunneling into X. A systematic effective field theory (EFT) for the AUP/MUP/CUP sector is constructed, including scalar and fermionic realizations, higher-dimensional couplings, one-loop and two-loop renormalization, and scale-dependent tunneling actions. This appendix provides the conceptual and field-theoretic backbone for interpreting black holes, dark matter, nonlocality, and engineered higher-dimensional access (QITC/NIAC-type concepts) within the R-layer Mode Theory.
Tsuyoshi Tohi (Sun,) studied this question.