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Abstract with Proof of the Law of Informational Inertia

  • The Law of Informational Inertia states that in entangled quantum systems, the rate of change of observable correlation strength is inversely proportional to the system’s accessible informational entropy.
  • It offers a quantitative relationship between entanglement correlations and informational entropy, suggesting that higher entropy systems resist correlation decay or decoherence.
  • The law is expressed through a differential equation and implies that correlation strength decays exponentially, with the decay rate decreasing as entropy increases.
  • This law has implications for various fields like quantum biology, decoherence theory, and information thermodynamics, providing a general principle that can be tested experientially in systems with varying entropy levels.

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