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Computational Verification of the Quantum Blueprint Formalism at Biological Scale. Zenodo,

Marcus Schmieke

Published Mar 6, 2026• 0 citations
Publisher

Abstract

We present the first numerical verification of the Quantum Blueprint Formalism (QBF) at the biologically relevant scale of 12 Life Fields (K₁₂). Seven results are established computationally, each reproducing or extending a theoretical prediction from the QBF corpus. (1) The Hessian of the tension functional Φ is indefinite at pointer states: 2 negative eigenvalues at K₃ and 7 negative eigenvalues at K₁₂. The Hessian cannot serve as a Riemannian metric. (2) The Witten Laplacian produces positive spectral gaps (masses) despite the indefinite Hessian — the kinetic-stabilization mechanism of Paper 64 is confirmed numerically. (3) The projection π₀: ℝ³ → ℝ² is computed as an explicit 2×3 matrix; the induced metric is positive definite (Riemannian). (4) At K₁₂, the symplectic structure yields 5 conjugate pairs and 2 unpaired modes — the first numerical evidence for “mortality modes” that lack a regenerative partner. (5) The holonomy of the linearized dynamics is elliptic (Tr = 0.03), with all 12 modes oscillatory — the K₁₂ system is in a healthy (rotating, non-amplifying) dynamical regime. (6) The BCI feedback mechanism predicts recovery from perturbation 1.41× faster than passive Fokker-Planck relaxation. For cardiac coherence at 0.1 Hz: FEP recovery ≈ 8.3 s, QBF recovery ≈ 5.8 s, measurable difference ≈ 2.4 s. (7) The Bogoliubov vacuum structure predicts sub-Poissonian quadrature statistics (Mandel Q < 0) with a hierarchical squeezing pattern: strong squeezing in basal Life Fields (Foundation: 76 dB), moderate in intermediate fields (Vitality: 4.6 dB), and weak in integrative fields (Unity: 0.4 dB). Both predictions (6) and (7) distinguish the QBF from the Free Energy Principle and are testable with existing technology. All computations are parameter-free given the incompatibility matrix ω(i,j) and the diffusion coefficient Dₛ. The code is provided as supplementary material.

DOI
10.5281/zenodo.18891641

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We present the first numerical verification of the Quantum Blueprint Formalism (QBF) at the biologically relevant scale of 12 Life Fields (K₁₂). Seven results are established computationally, each reproducing or extending a theoretical prediction from the QBF corpus. (1) The Hessian of the tension functional Φ is indefinite at pointer states: 2 negative eigenvalues at K₃ and 7 negative eigenvalues at K₁₂. The Hessian cannot serve as a Riemannian metric. (2) The Witten Laplacian produces positive spectral gaps (masses) despite the indefinite Hessian — the kinetic-stabilization mechanism of Paper 64 is confirmed numerically. (3) The projection π₀: ℝ³ → ℝ² is computed as an explicit 2×3 matrix; the induced metric is positive definite (Riemannian). (4) At K₁₂, the symplectic structure yields 5 conjugate pairs and 2 unpaired modes — the first numerical evidence for “mortality modes” that lack a regenerative partner. (5) The holonomy of the linearized dynamics is elliptic (Tr = 0.03), with all 12 modes oscillatory — the K₁₂ system is in a healthy (rotating, non-amplifying) dynamical regime. (6) The BCI feedback mechanism predicts recovery from perturbation 1.41× faster than passive Fokker-Planck relaxation. For cardiac coherence at 0.1 Hz: FEP recovery ≈ 8.3 s, QBF recovery ≈ 5.8 s, measurable difference ≈ 2.4 s. (7) The Bogoliubov vacuum structure predicts sub-Poissonian quadrature statistics (Mandel Q < 0) with a hierarchical squeezing pattern: strong squeezing in basal Life Fields (Foundation: 76 dB), moderate in intermediate fields (Vitality: 4.6 dB), and weak in integrative fields (Unity: 0.4 dB). Both predictions (6) and (7) distinguish the QBF from the Free Energy Principle and are testable with existing technology. All computations are parameter-free given the incompatibility matrix ω(i,j) and the diffusion coefficient Dₛ. The code is provided as supplementary material.
We present ten numerical simulations that verify and extend the Quantum Blueprint Formalism (QBF) across three structural layers: pre-coherent dynamics, emergent gravity, and the landscape of possible physics. (1) The vacuum circulation Ωvac is computed numerically on the K₃ toy model (|Ωvac| = 43.9) and variationally on the K₁₂ biological model (|Ωvac| = 1.25), confirming that Ωmin > 0 at pointer states— time does not stop at equilibrium. The mechanism is the displacement of the Witten ground state from the pointer state due to the indefinite Hessian of Φ, a feature unique to the QBF. (2) The Gauss–Codazzi analysis with the flat ambient metric g₀ (from the Structural Choice) confirms that R^s = 0 and H_μν = 0 identically—the Einstein equation is exact with no Planck-scale corrections. Newton's constant G and the Planck length l_P are derived analytically from the mean vacuum embedding curvature K ̄ . (3) The spectral map from the incompatibility fiber X_ω to observable physics is visualized through chamber decomposition, continuous mass spectra, and gauge-group jumps at bifurcation surfaces. A nontrivial Berry phase of π is computed around a chamber boundary, confirming the hallucination holonomy. (4) Falsifiable predictions are quantified: a GHZ decoherence floor (t₁/₂ = 6.9 s for N = 10 qubits at T → 0), HRV coherence duration (τ ≈ 80 s from K₁₂ D_min), and thermalization asymmetry with three symmetry classes. (5) The Picard–Fuchs machinery is demonstrated on the quintic CY₃, and the optimal QBF fiber candidate CY₃ with (h¹¹, h²¹) = (1, 4) is identified. All computations are parameter-free given the incompatibility matrix ω(i,j) and the diffusion coefficient Dₛ.
This paper computes the first explicit projection in the Quantum Blueprint Formalism. The pre-coherent space is Mₛ = [0,1]³ with three binary distinctions and incompatibilities ω₁₂ = 1.0, ω₁₃ = 0.8, ω₂₃ = 0.6. The background metric g₀ = δᵢⱼ is flat Riemannian (from the Structural Choice). The tension functional Φ = Σ ω²χ(σᵢ)χ(σⱼ) determines the potential. The symplectic form ωI encodes the incompatibility structure. The Witten Laplacian Hw = −Dₛ Δ + Veff is diagonalized numerically on a 40³ grid (Dₛ = 0.1). Its spectrum is strictly positive (λ₀ = 0.79, λ₁ = 1.65, λ₂ = 1.65, λ₃ = 1.66, …) despite the raw Hessian of Φ being indefinite at the pointer state (eigenvalues −1.05, −0.32, +1.37). The spectral gap between the first three excited modes (quasi-degenerate at ω ≈ 0.93) and the fourth mode (ω ≈ 1.31) selects a natural projection dimension. The projection π₀: ℝ³ → ℝ² is constructed as the restriction to the two lowest excited Witten eigenmodes. It is an explicit 2×3 matrix. The induced Riemannian metric on the target MΘ has eigenvalues 0.49, 1.52 (positive definite). The circulation field Ωₛ, projected onto MΘ, identifies the temporal direction. The signature flip Riemannian → Lorentzian produces g_phys = diag(−0.49, +1.52). The emergent speed of light is c = |Ωₛ|/√Dₛ. This demonstrates, for the first time in the QBF corpus, the complete chain: Mₛ (Riemannian, 3D) → Witten spectrum → spectral gap → projection → induced metric → signature change → MΘ (Lorentzian, 2D). The toy model is 3 → 2 dimensions rather than ∞ → 4, but every structural step is identical to the full theory.
We propose a generalization of the dissipative quantum field theory (DQFT) as developed by Celeghini, Rasetti, and Vitiello to describe the dynamic informational feedback underlying biological coherence. The new framework, termed the Quantum Blueprint Formalism (QBF), builds on the fact that in DQFT the conjugate field ψ̃ is an active dynamical partner of ψ, representing the time-reversed degrees of freedom that co-generate dissipation, irreversibility, and the selection of inequivalent vacuum states. Rather than functioning as a mere repository of past interactions, ψ̃ participates continuously in the system’s coherent evolution through SU(1,1) Bogoliubov mixing.QBF extends this structure by allowing the ψ–ψ̃ coupling to become explicitly state-dependent, thereby endowing the conjugate field with an informational role that reflects and influences the system’s ongoing coherence pattern. Correlation parameters Θ = {θₖ} quantify the instantaneous coherence relations between the two sectors and evolve in time according to a nonlinear stochastic differential equation derived from the dissipative field dynamics.This extended formalism provides quantitative links between informational coherence and physiological observables such as heart rate variability (HRV), EEG phase synchronization, water-domain ordering, and ultraweak photon emission. It thereby establishes a bridge between dissipative quantum physics, information theory, and experimental biophysics, offering a consistent mathematical and empirical basis for understanding life as an informationally guided, self-organizing process in which ψ and ψ̃ jointly sustain and regenerate coherence.
The Quantum Blueprint Formalism (QBF) is a unified theoretical framework that derives the fundamental structures of physics, biology, and consciousness from a single set of transcendental conditions governing coherent projection. Developed across twenty-eight peer-reviewed papers and two books, the QBF begins with the pre-coherent possibility space M_s and three admissibility conditions—local compatibility (A1), preserved Heisenberg structure (A2), and bounded compression (A3)—that are shown to be transcendentally necessary for any coherent structure to exist. From these conditions, a unique three-term Fokker–Planck equation (the Mother Equation) governs all dynamics. Projection from M_s to the coherence manifold M_Θ produces, in successive derivation steps: nonrelativistic quantum mechanics as the circulation-dominated limit; spacetime with 3+1 dimensions and Lorentzian signature; general relativity via the Gauss–Codazzi equations with Newton’s constant derived, not assumed; relativistic quantum field theory; and the gauge structure of the Standard Model. The formalism dissolves the black hole information paradox, identifies dark matter as projection residue, and establishes a landscape of possible physics. Beyond fundamental physics, the same canonical three-term structure governs biological coherence dynamics (the Equation of Life), consciousness (as epistemic nonequilibrium), and self-consciousness (as reflexive identity stabilization), yielding a mathematically exact Classification Theorem. This review presents the complete mathematical architecture of the QBF in a self-contained manner, tracing every derivation chain and classifying every result by its epistemic status: [Derived], [Constrained], [Conjectured], or [Assumed].
The Quantum Blueprint Formalism (QBF), developed across 27 papers and two books (Schmieke, 2025a–2026ab), derives quantum mechanics, quantum field theory, the Standard Model, general relativity, dark matter phenomenology, and a resolution of the black hole information paradox from a single dynamical equation—the Mother Equation—on a pre-coherent possibility space M_s, subject to three admissibility conditions (A1)–(A3) whose necessity is established by transcendental argument (Schmieke, 2026k). This paper consolidates, for the first time, all empirical predictions generated across the QBF corpus into a single systematic inventory. For each of 28 predictions, we specify: (i) the precise mathematical claim, (ii) the admissibility condition(s) from which it derives, (iii) the complete derivation chain with paper references, (iv) the epistemic status ([Derived], [Constrained], or [Conjectured]), (v) the experimental protocol, (vi) the current experimental status, (vii) the estimated timescale, and (viii) the falsification condition—identifying which axiom would be refuted. We organize the predictions into six sectors: quantum mechanics and measurement (6 predictions), spacetime and gravity (5), cosmology (4), particle physics (5), dark matter (5), and black holes (3). Of these, 6 are consistency checks (confirmed by existing data), 2 are testable with current technology within 1–3 years (GHZ decoherence saturation, channel trade-off), 5 within 5–10 years, and the remainder require longer-term experimental advances. We construct a falsification map connecting each prediction to the specific axiom it tests and a prediction landscape plotting discriminating power against experimental timescale. We compare the QBF’s foundational approach with string theory, loop quantum gravity, and asymptotic safety, and discuss existing decoherence frameworks (environmental decoherence, quantum Darwinism, objective collapse models) and their relation to the QBF’s two-regime structure.
The Quantum Blueprint Formalism (QBF), developed across 27 papers and two books (Schmieke, 2025a–2026ab), derives quantum mechanics, quantum field theory, the Standard Model, general relativity, dark matter phenomenology, and a resolution of the black hole information paradox from a single dynamical equation—the Mother Equation—on a precoherent possibility space M_s, subject to three admissibility conditions (A1)–(A3) whose necessity is established by transcendental argument (Schmieke, 2026k). This paper consolidates, for the first time, all empirical predictions generated across the QBF corpus into a single systematic inventory. For each of 28 predictions, we specify: (i) the precise mathematical claim, (ii) the admissibility condition(s) from which it derives, (iii) the complete derivation chain with paper references, (iv) the epistemic status ([Derived], [Constrained], or [Conjectured]), (v) the experimental protocol, (vi) the current experimental status, (vii) the estimated timescale, and (viii) the falsification condition—identifying which axiom would be refuted. We organize the predictions into six sectors: quantum mechanics and measurement (6 predictions), spacetime and gravity (5), cosmology (4), particle physics (5), dark matter (5), and black holes (3). Of these, 6 are consistency checks (confirmed by existing data), 2 are testable with current technology within 1–3 years (GHZ decoherence saturation, channel trade-off), 5 within 5–10 years, and the remainder require longer-term experimental advances. We construct a falsification map connecting each prediction to the specific axiom it tests and a prediction landscape plotting discriminating power against experimental timescale. We compare the QBF’s foundational approach with string theory, loop quantum gravity, and asymptotic safety, and discuss existing decoherence frameworks (environmental decoherence, quantum Darwinism, objective collapse models) and their relation to the QBF’s two-regime structure.