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    Barbour and Bertotti's Machian relational mechanics shows... — Carmelics
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    Supports→The boundary condition 'flat at infinity' is incompatible with Mach's Principle

    Barbour and Bertotti's Machian relational mechanics shows that a consistent Machian dynamics requires no preferred asymptotic structure, making any fixed boundary condition non-Machian by construction.

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    Key Terms

    Barbour and Bertotti(developers of the modern version of this theory)
    Julian Barbour and Bruno Bertotti are theoretical physicists who built on earlier ideas to show how motion and forces could work without needing to assume space itself exists as a fixed container.
    Boundary condition(the low-entropy past boundary condition)
    A fixed starting or ending state that constrains what can happen in a physical system; here, it means the universe's initial conditions at the beginning of time.
    Dynamics(Modern physics, attributed foundationally to Descartes)
    The branch of physics that studies the motion of bodies under the action of forces.
    Ernst Mach(as the originator of the theory discussed)
    An Austrian physicist and philosopher (1838–1916) who argued that motion and forces only make sense when described relative to other objects, not relative to empty space itself.

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    Machian relational mechanics(as the theoretical approach being discussed)
    A physics framework based on Ernst Mach's idea that motion and forces only make sense when describing how objects relate to each other, not in relation to some fixed, invisible background space.
    Non-Machian(as describing theories that contradict Machian mechanics)
    In violation of Mach's principle; relying on fixed, unobservable background structures rather than just relationships between objects.
    Preferred asymptotic structure(as something Machian mechanics supposedly doesn't require)
    A special background framework or boundary condition that a physical theory favors or treats as fundamental (like Newton's idea of absolute space).

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    The boundary condition 'flat at infinity' is incompatible with Mach's Principle

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