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May 22, 2026Open Access

The Imaginary Axis as the Physical Fourth Dimension: From Mathematical Trick to Ontological Necessity

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Authors

RLRémi Leroy

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Overview

This theoretical analysis reveals the imaginary time axis’s role in understanding quantum mechanics and time’s nature.

Key Points

  • To demonstrate that the physical time axis is imaginary, offering explanations for key puzzles in quantum mechanics.
  • Formalization within the Fractal Mechanics framework.
  • Derivation of insights from the Fibonacci harmonic cascade.
  • Analysis of quantum equations and principles including the Schrödinger equation and Heisenberg uncertainty.
  • The Schrödinger equation's imaginary unit is derived from the imaginary time structure.
  • The irreducibility of quantum uncertainty is explained through real and imaginary component decomposition.
  • Irreversibility of time is linked to the iteration of the harmonic cascade, supporting CPT symmetry.

Cite This Study

Rémi Leroy (2026) studied this question.

synapsesocial.com/papers/6a0ff452d674f7c03778da32https://doi.org/10.5281/zenodo.20305218
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