Supplementary document derives coupled redshift formula, highlighting physical mechanisms and mathematical foundations.
Complete three-layer derivation of the coupled redshift formula from first principles: physical mechanism, mathematical formulation, and coupled formula derivation. Derives the slippage rate A_d(z) = ℓ_P H(z) / c, establishes the paired energy shadow mechanism, and proves the zero-slippage boundary condition at z = 0.
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Anil Madhavan (2026) studied this question.
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