Equation 28 · The Bend an Elevator Cannot Fake
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using the Moore–Penrose pseudoinverse because B has a nontrivial null space: adding any constant to every node’s leaves every edge difference, and hence every prediction, unchanged. This is not a defect to patch. It is the precise algebraic statement that a network can only ever certify potential differences, never an absolute zero, matching the physical fact that gravitational redshift has never been measured as anything but a difference [ 4 , 3 ] . Anchoring any one node’s height to an external, independently surveyed vertical datum removes the remaining gauge freedom without adding a single new physical assumption to the network itself.
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