{
  "id": "oai:papers.qnfo.org:number-theory-as-physics",
  "slug": "number-theory-as-physics",
  "title": "Number Theory as Physics",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "This chapter transitions from theoretical derivation to empirical verification, identifying specific signatures of the q-adic framework within the fields of quantum information and condensed matter physics. We propose a primary, testable prediction: the existence of Prime-Periodic and Ratio-Periodic Noise in quantum devices. We argue that environmental decoherence in qubits is not purely stochastic but is modulated by the hierarchical energy barriers of the underlying ultrametric substrate, resulting in spectral peaks at frequencies f_n = n f₀ log q. We then discuss the Quantum Simulation of q-Adic Systems, detailing how current gate-based processors and ultracold atom arrays can be used to implement the Vladimirov operator and simulate tree-walk dynamics. Finally, we examine Arithmetic Quantum Materials, such as quasicrystals and engineered fractal metamaterials, which serve as physical analogues for q-adic geometry, exhibiting the log-periodic oscillations and anomalous diffusion characteristic of a discrete, ratio-based universe. [...]",
  "abstract_markdown": "This chapter transitions from theoretical derivation to empirical verification, identifying specific signatures of the \\(q\\)-adic framework within the fields of quantum information and condensed matter physics. We propose a primary, testable prediction: the existence of **Prime-Periodic and Ratio-Periodic Noise** in quantum devices. We argue that environmental decoherence in qubits is not purely stochastic but is modulated by the hierarchical energy barriers of the underlying ultrametric substrate, resulting in spectral peaks at frequencies \\(f_n = n f_0 \\log q\\). We then discuss the **Quantum Simulation of \\(q\\)-Adic Systems**, detailing how current gate-based processors and ultracold atom arrays can be used to implement the Vladimirov operator and simulate tree-walk dynamics. Finally, we examine **Arithmetic Quantum Materials**, such as quasicrystals and engineered fractal metamaterials, which serve as physical analogues for \\(q\\)-adic geometry, exhibiting the log-periodic oscillations and anomalous diffusion characteristic of a discrete, ratio-based universe. [...]",
  "date": "2026-04-01",
  "first_published": "2026-04-01",
  "last_revised": "2026-04-01T00:00:00Z",
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        "name": "Rowan Brad Quni-Gudzinas",
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        "description": "This chapter transitions from theoretical derivation to empirical verification, identifying specific signatures of the q-adic framework within the fields of quantum information and condensed matter physics. We propose a primary, testable prediction: the existence of Prime-Periodic and Ratio-Periodic Noise in quantum devices. We argue that environmental decoherence in qubits is not purely stochastic but is modulated by the hierarchical energy barriers of the underlying ultrametric substrate, resulting in spectral peaks at frequencies f_n = n f₀ log q. We then discuss the Quantum Simulation of q-Adic Systems, detailing how current gate-based processors and ultracold atom arrays can be used to implement the Vladimirov operator and simulate tree-walk dynamics. Finally, we examine Arithmetic Quantum Materials, such as quasicrystals and engineered fractal metamaterials, which serve as physical analogues for q-adic geometry, exhibiting the log-periodic oscillations and anomalous diffusion characteristic of a discrete, ratio-based universe. [...]",
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