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Frequency Field Theory: A Unified Framework for Mind, Vacuum, and Cosmological Structure

Ningsheng Liu

preprint DOI: 10.2139/ssrn.6672438 (opens in new tab)

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Characteristics Theoretical or philosophical paper
Key points Proposes that frequency is the fundamental ontological quantity, with a complex field Φ and a frequency tensor constrained to T^μ_μ = −1 yielding a zero-point manifold from which vacuum properties and an effective cosmological constant emerge. Argues that a light-layer eigenmode at 3.69×10^15 Hz anchors a discrete frequency cascade ν_n = ν*/n generating electromagnetic, material, cognitive, and cosmological layers, and models consciousness as a coherent, self-referential excitation governed by an effective frequency ω_eff^2 = 2α + 4β(|Φ_vacuum|^2 + |Φ_light|^2 + |Φ_mind|^2).

Abstract

This paper develops Frequency Field Theory (FFT), a unified framework in which frequency is treated as the fundamental ontological quantity underlying vacuum structure, light-layer eigenmodes, consciousness dynamics, and cosmological organization. The theory is built upon a primitive complex field Φ(x,t), whose magnitude encodes local frequency density and whose phase encodes coherence and causal structure. A frequency Lagrangian is introduced, leading to the nonlinear field equation □Φ+2αΦ+4β∣Φ∣2Φ=0, and a corresponding frequency tensor Tμν(Φ) that satisfies the structural constraint T μμ=−1. This constraint defines the zero-point manifold, from which the vacuum amplitude, stability conditions, and effective cosmological constant naturally emerge. The first stable excitation of the field is the light-layer eigenmode, characterized by a root frequency ν∗=3.69×1015 Hz, which anchors a discrete frequency cascade νn=ν∗/n. This cascade generates electromagnetic, material, cognitive, and cosmological layers, forming a natural frequency axis analogous to the classical Sumeru structure. Consciousness is modeled as a coherent, self-referential excitation of the frequency field, with dynamics governed by an effective frequency ωeff2=2α+4β(∣Φvacuum∣2+∣Φlight∣2+∣Φmind∣2). This formulation explains the sensitivity of conscious states to vacuum fluctuations, coherence phenomena, and nonlinear coupling. FFT provides a mathematically unified account of vacuum structure, light-layer stability, mind-frequency dynamics, and cosmological stratification, offering a frequency-based foundation for physical and cognitive phenomena.