The inference from 'each point has an independent tetrad' to 'gauge factor must be position-dependent' suppresses the conventionalist alternative that global gauges remain physically admissible by stipulation.
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A component of epistemology in Nyāya philosophy; a veritable inference yields knowledge about the world and must have premises that are themselves known
position-dependent(describing something that differs at different positions)
Something that changes based on where you are in space; it varies from location to location.
stipulation(in philosophy and formal reasoning)
A choice or assumption you decide to make for the sake of an argument, rather than something that must be true by logical necessity.
tetrad(General relativistic formulation of spinor fields)
A local frame field — a set of four orthonormal basis vectors defined at each point of spacetime — used to connect the curved spacetime manifold to the flat tangent space in which spinors are defined.