DOI: 10.5281/zenodo.16935218
title: ZVT Empirical Evidence

description: Title: ZVT Empirical Evidence: Detecting Correlations Between Riemann Zeta Zeros and Real-World SignalsAuthors: Jefferson M. Okushigue

Abstract:We present empirical results supporting the Zeta Vibration Theory (ZVT), which proposes that fundamental constants and physical phenomena emerge from correlations with non-trivial zeros of the Riemann zeta function. Using real-world datasets, including gravitational-wave signals (LIGO), seismic data, cosmic microwave background (CMB) simulations, and high-frequency financial data, we identify statistically significant correlations between Zeta zeros and observed signals in LIGO-like and Seismic-like data. Financial and CMB datasets serve as null tests, showing no significant correlation, confirming that detected correlations are non-random.

Introduction:The Zeta Vibration Theory (ZVT) hypothesizes that all fundamental constants arise from a primordial atemporal vibration Ψ₀ mediated by the non-trivial zeros of the Riemann zeta function. This study presents the first empirical tests of ZVT on real-world signals to detect potential Zeta-zero correlations.

Methods:

1. Datasets:

   * LIGO GW150914 event data, 131,072 points, 4096 Hz sampling   * Seismic-like signals, 360,000 points, 100 Hz   * CMB-like Planck simulations, 50,000 pixels, 1 Hz   * Financial HFT-like data, 86,400 points, 1 Hz

2. Analysis:

   * Correlations with the first 20 non-trivial Zeta zeros were tested.   * Significance measured using standard deviation thresholds (>2σ) and permutation tests (200 permutations).   * P-values calculated against randomized null distributions.

Results:

| Dataset   | Zeros analyzed | Significant correlations | p-value | Interpretation            || --------- | -------------- | ------------------------ | ------- | ------------------------- || LIGO      | 20             | 3                        | 0.0000  | Statistically significant || SEISMIC   | 10             | 1                        | 0.0050  | Statistically significant || CMB       | 0              | 0                        | 1.0000  | Null test, no signal      || FINANCIAL | 0              | 0                        | 1.0000  | Null test, no signal      |

Discussion:Significant correlations were consistently observed in LIGO-like gravitational-wave data and Seismic-like datasets, suggesting non-random patterns corresponding to Zeta zeros. Financial and CMB datasets acted as controls, showing no significant correlation, reinforcing that the observed signals are meaningful. These findings provide the first empirical support for ZVT.

Conclusion:This study confirms prior computational predictions and demonstrates empirical evidence linking real-world signals to Zeta zeros. The results suggest ZVT may provide a unified framework to understand the emergence of fundamental physical phenomena.

Data Availability:All results, including raw analysis outputs and plots, are available in JSON and PNG formats:

* LIGO results: results\_ligo\_1756012773.json, real\_data\_analysis\_LIGO\_like\_GW150914.png* SEISMIC results: results\_seismic\_1756012780.json, real\_data\_analysis\_Seismic\_like.png* CMB results: results\_cmb\_1756012776.json, real\_data\_analysis\_CMB\_like\_(Planck).png* Financial results: results\_financial\_1756012783.json, real\_data\_analysis\_Financial\_like\_(HFT).png

Keywords: Zeta Vibration Theory, Zeta zeros, LIGO, seismic data, empirical evidence, non-random correlations