Published March 13, 2026 | Version v1
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Quantum Fractal Time (QFT): A Hypothesis of Fractal Structure of Time in Quantum Systems

Description

This paper proposes a preliminary hypothesis of Quantum Fractal Time (QFT) and explores its possible mathematical structure and implications. 
The central hypothesis is that the structure of time may possess a local fractal character described 
by a scalar field α(x) with values in the interval (0,1].

The model introduces a dynamical field representing the local fractal dimension of time and explores 
its consequences in weak gravitational fields. The theory predicts small Yukawa-type corrections to 
gravitational time dilation, orbital dynamics, and perihelion precession.

These predictions allow QFT to be constrained through comparison with precision tests of General Relativity.

 

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