If projective structure is gauge-dependent, its restrictive power over worldline realignment is relative to a chosen representational framework, not an objective physical constraint.

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Gauge-dependent(describing the nature of the metric field's determination): Something that depends on your choice of measurement system or perspective—changing how you measure things can change the result, even if reality itself hasn't changed.
Objective physical constraint(as used in metaphysics and philosophy of physics): A real, unchangeable limit or rule that exists in nature itself, independent of how we describe or think about it.
Realignment(as used in physics): The act of shifting, rearranging, or changing the position or direction of something.
Worldline(as used in physics and relativity): The path that an object traces through space and time as it moves and exists—think of it like the complete history of where something has been.
projective structure(Contrasted with the infinite-parameter microsymmetry group present when only a differentiable structure exists.): A post-differentiable topological geometric field on spacetime whose preservation reduces the microsymmetry group at any event to a 20-parameter Lie group.
representational framework(the background knowledge needed to understand what features matter in a watch): A system of ideas and meanings that helps us understand and talk about something—in this case, our shared understanding of what a watch is supposed to do.

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