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Continuum Limits
What survives when ACRF-4's discrete structure is refined toward a continuum?
Discrete-to-continuum work on ACRF-4's tangent geometry, including an exact four-channel zero-set theorem and exact discrete-to-continuum transport for retained history.
Open problems
Open Problem
Metric and continuum reconstruction
A completed, general theorem reconstructing a physical metric from registration structure.
Related threads: Metric Reconstruction, Continuum Limits
Sources: Registration Geometry I: Stable Records and a Memory-Sensitive Effective Metric on a Supplied Lorentzian Background, Registration Geometry V: Induced Einstein Dynamics from a Retained Registration Spectrum
Relevant publications
SupportingRegistration Geometry
From Isotropic Tangent Geometry to Discrete Nonlinear Channels in Registration Theory
An Exact Four-Channel Zero-Set Theorem for ACRF-4.
SupportingRegistration Geometry
Retained Relational Geometry as a Fading-Memory History Functional in ACRF-4
A Discrete-to-Continuum Theorem and Exact Equal-Area Path Dependence.