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Unifed Fractal Field Theory

The Fractal Time Framework (FTF): Discrete Log-Periodic Dyna

 The Fractal Time Framework (FTF) introduces a unified temporal transformation model that extends classical physics by embedding time itself within a recursive, self-similar architecture. Built on the scaling constant λ ≈ e, the FTF reconciles observed asymmetries across domains—from galactic rotation curves and seismic aftershock decay to quantum coherence patterns—without invoking exotic matter or arbitrary constants.

The framework establishes phase-locked temporal control, showing that system stability and energy distribution can be predicted and modulated through fractal time harmonics. It bridges deterministic and probabilistic regimes, revealing how temporal intervals follow logarithmic self-similarity across 15 orders of magnitude.

Empirical validations include:

  • Seismic data (Ridgecrest 2019): +0.18 bits/event gain in predictive coherence.
  • Galactic rotation curves (SPARC dataset): ~80% RMSE reduction versus standard models.
  • Fractal chronometry tests: cross-scale consistency from radiometric decay to orbital timing.

Together, these findings demonstrate that the FTF can function as the temporal core of the Unified Fractal Field Theory (UFFT), suggesting that time operates not as a linear parameter but as a fractal continuum regulating information flow, causality, and stability across scales.

Keywords: Fractal Time, Unified Fractal Field Theory, Temporal Scaling, λ = e, Scale Relativity, Galactic Rotation Curves, Seismic Fractality, Chronometry, Quantum Coherence, Self-Similarity


https://doi.org/10.5281/zenodo.17438281

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