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<p>The paper presents new analysis showing that processes underlying scale invariance can be a source of emergent nonlocal noise, which we call ND noise or NDN, that will play a role in measurements and communication at very small distances. It is argued that NDN noise will lead to decoherence even without interaction with the environment and it is thus relevant in quantum computing and in models of cognition. It is further shown that the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(c{x}^{-e/3}\)</EquationSource> </InlineEquation> distribution associated with noninteger dimensionality matches very closely with the Newcomb–Benford distribution that is commonly found in natural and engineered systems.</p>

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Noninteger Dimensionality, Nonlocal Noise and Self-Decoherence

  • 期刊论文

  • 发表日期：

    2025年8月7日

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  • Subhash Kak

摘要

The paper presents new analysis showing that processes underlying scale invariance can be a source of emergent nonlocal noise, which we call ND noise or NDN, that will play a role in measurements and communication at very small distances. It is argued that NDN noise will lead to decoherence even without interaction with the environment and it is thus relevant in quantum computing and in models of cognition. It is further shown that the \(c{x}^{-e/3}\) distribution associated with noninteger dimensionality matches very closely with the Newcomb–Benford distribution that is commonly found in natural and engineered systems.