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March 8, 20260 citationsOpen Access

The Universe as a Unique Fixed Point: A Contraction Mapping Proof for the Self-Consistency of Physical Constants

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PJPei-Yuan Ju

Key Points

  • To establish that the 26 Standard Model parameters represent a unique fixed point in a self-consistency map.
  • Utilized the Banach Fixed-Point Theorem for proof.
  • Calculated the contraction rate of 1/φ² ≈ 0.382.
  • Analyzed the uniqueness of the fixed point without relying on fine-tuning.
  • Confirmed the existence of a unique fixed point for the 26 parameters.
  • Established that no multiverse or landscape scenarios are needed.

Abstract

We prove that the 26 Standard Model parameters are the unique fixed point of a self-consistency map with contraction rate 1/φ² ≈ 0.382, using the Banach Fixed-Point Theorem. No fine-tuning, no landscape, no multiverse.

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Cite This Study

Pei-Yuan Ju (2026) studied this question.

synapsesocial.com/papers/69ada90bbc08abd80d5bc6ebhttps://doi.org/10.5281/zenodo.18899307
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