Ehresmann and Cartan connection theory shows that projective structure is a gauge-dependent construct requiring a choice of connection, not an intrinsic feature of spacetime points.
?Rate how convincing each reason is below to see the overall strength.
No one has weighed in yet. Be the first to share reasons for or against this statement.
Sign in or register to share your perspective on this statement.
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.
Intrinsic feature(as used in metaphysics (the study of what exists))
A characteristic that belongs to something naturally, as part of its basic nature, rather than depending on outside factors.
Spacetime(as one criterion for whether something is physically real)
A physics concept combining space (location) and time into one continuous system—basically, every physical object exists somewhere at some moment in time.
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.