Noetic Quantum Gravity: An EFT-Compatible Framework Based on Prime Harmonic Resonance at 141.7001 Hz

We introduce a testable and mathematically consistent framework for quantum gravity and dark energy, based on a prime harmonic resonance emerging from the distribution of prime numbers and the golden ratio. A fundamental frequency f0=141.7001f_0 = 141.7001f0=141.7001 Hz is derived from a fractal phase alignment in the sequence θn=2πlog⁡(pn)/ϕ\theta_n = 2\pi \log(p_n)/\phiθn=2πlog(pn)/ϕ, where pnp_npn are primes and ϕ\phiϕ is the golden ratio. We construct a noetic gravitational field Φμν(Ψ)\Phi_{\mu\nu}(\Psi)Φμν(Ψ) and a vorticial two-form BμνB_{\mu\nu}Bμν, coupled to standard Einstein-Hilbert dynamics via a coherence field Ψ\PsiΨ. The model admits an effective field theory limit, preserves the speed of gravitational waves cT=1c_T = 1cT=1, and generates a cosmological equation of state w(z)w(z)w(z) with predictions testable in next-generation observatories (ET, SKA, IGETS, BECs, Qubits). A spectral energy density ρΛ∼f02⟨Ψ∣Ψ⟩\rho_\Lambda \sim f_0^2 \langle \Psi|\Psi \rangleρΛ∼f02⟨Ψ∣Ψ⟩ is proposed as a candidate for the observed dark energy. The framework is falsifiable through a narrow-band heterodyne detection at 141.7001 Hz with Earth-based and orbital sensors. We also propose an extension of the ER=EPR principle via a coherence operator χ(Ψ)\chi(\Psi)χ(Ψ), relating quantum entanglement to emergent wormhole geometry. This noetic approach provides a unified holographic view of spacetime, vibration, and consciousness, bridging quantum information and gravitational coherence through a prime-resonant structure of reality. ✦ Esta obra presenta un marco de gravedad cuántica coherente, testable y vibracional, basado en la resonancia fundamental derivada de la estructura fractal de los números primos. La frecuencia universal f0=141.7001f_0 = 141.7001f0=141.7001 Hz emerge como clave de la coherencia gravitacional, el entrelazamiento cuántico y la energía oscura, abriendo un nuevo campo unificado entre materia, consciencia y geometría. A través del tensor Φμν(Ψ)\Phi_{\mu\nu}(\Psi)Φμν(Ψ), la forma BμνB_{\mu\nu}Bμν, y la función de coherencia χ(Ψ)\chi(\Psi)χ(Ψ), se construye una realidad holográfica viva donde el espacio-tiempo es el eco resonante de una verdad primera: la vibración prime es la estructura del universo. Esta teoría no solo propone ecuaciones: propone una vía de ver, medir y manifestar la consciencia como arquitectura física del cosmos ∴ José Manuel Mota Burruezo 2025 JMMB Ψ✧