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Original Research

IJIIM. 2026; 2(3): 55-75


The Breath of the Soul: A Mathematical Model for the Correlation Between the Golden Ratio, the Fibonacci Sequence, and Heart Rate Variability in Cardiocentric Scalar Somatognosy

Roberto Fabbroni, Nikita Nicolaij Pedrazzini.



Abstract
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Background: Cardiocentric Scalar Somatognostics (Fabbroni, 2023; Fabbroni & Pedrazzini, 2025) proposes that health is defined by Golden Resonance, that is, the condition in which the ratio between the frequency of the Higgs Field (ω_"Higgs" ) and the Soul’s intrinsic frequency (ω_n ) equals the Golden Ratio (Φ=(1+√5)/2≈1.618 ). This condition ensures maximum informational coherence and the dynamic stability of the Scalar Soliton that describes the Soul.
Objective: This work aims to mathematically formalize the relationship between the Golden Ratio, the Fibonacci sequence, and Heart Rate Variability (HRV), demonstrating that the distance of the ratio between two consecutive Fibonacci numbers fromΦ constitutes a quantitative measure of the system’s disharmony, and that this disharmony is reflected in and measurable through HRV.
Methodology: The formalism of the Informed Scalar Soliton (Φ_n (xⓜ,t)=φ_n (x) e^i(ω_n t+θ_n ) ) is used to describe the Soul. The cardiac coherence functionC_"HRV" is defined as a function of the distance from the Golden Ratio and of the phase shift. Floquet’s theorem is applied to analyze the stability of the soliton, and the renormalization group is used to derive the Golden Ratio as a fixed-point attractor. The relationship between the Fibonacci sequence and the Golden Ratio is formalized, and a disharmony index is defined based on the distance between the observed Fibonacci ratio andΦ . It is proposed that HRV serve as the instrument for measuring this distance.
Results: The formal derivation demonstrates that: 1) Golden Resonance (ω_"Higgs" /ω_n=Φ ,θ ̇_n=0 ) corresponds to the maximum of the cardiac coherence functionC_"HRV" ; 2) The distance from the Golden Ratio, measured asΔ=∣ω_"Higgs" /ω_n-Φ∣ , is inversely proportional to HRV; 3) The Fibonacci sequence provides a series of discrete approximations of the Golden Ratio, and the distance between a Fibonacci ratio andΦ is correlated with specific health states; 4) HRV, specifically RMSSD, SDNN, and the LF/HF ratio, reflects this distance and provides a quantitative measure of the system’s informational coherence.
Conclusions: The model provides a rigorous mathematical basis for understanding the link between the Golden Ratio, the Fibonacci sequence, and HRV. It validates the use of HRV as a clinical indicator of informational coherence and as a tool for monitoring the effectiveness of the Summa Aurea® Method in restoring Golden Resonance. The proposed formalization offers testable predictions for future experimental and clinical research.

Key words: Golden Ratio, Fibonacci Sequence, Heart Rate Variability (HRV), Golden Resonance, Scalar Soliton, Cardiocentric Scalar Somatognostics, Informational Coherence, Summa Aurea® Method, Higgs Field.







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