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    Gauge-dependent quantities in electromagnetism (e.g., the... — Carmelics
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    Challenges→Spacetime coordinates lack physical reality

    Gauge-dependent quantities in electromagnetism (e.g., the vector potential) causally influence observable outcomes, as demonstrated by the Aharonov-Bohm effect.

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    1 reason for
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    Reasons For

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    Reason for
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    • 1.The Aharonov-Bohm effect shows electron phase shifts in field-free regions depend on the vector potential's path integral, not just observable fields.
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    • 2.Gauge transformations that preserve all electromagnetic fields can still change the vector potential and alter measurable quantum interference patterns.
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    • 3.If two physically distinct vector potential configurations produce different observable outcomes, the vector potential itself must be causally efficacious.
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    Reasons Against

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    • 1.The Aharonov-Bohm phase depends only on the line integral of A, which is gauge-invariant; gauge freedom allows choosing A to vanish along the electron path.
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    • 2.Observable outcomes (interference patterns) depend only on gauge-invariant quantities; different gauges describe identical physical situations differently.
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    • 3.Attributing causal power to gauge-dependent quantities conflates mathematical convenience with ontological significance; only gauge-invariants are physically real.
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    Related

    Attributing causal power to gauge-dependent quantities conflates mathematical co...Gauge transformations that preserve all electromagnetic fields can still change ...If two physically distinct vector potential configurations produce different obs...Observable outcomes (interference patterns) depend only on gauge-invariant quant...
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    Spacetime coordinates lack physical realityThe Aharonov-Bohm effect shows electron phase shifts in field-free regions depen...The Aharonov-Bohm phase depends only on the line integral of A, which is gauge-i...

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