What does this research mean for the field?

The 26 Standard Model parameters are the unique fixed point of a self-consistency map with a contraction rate of 1/φ², indicating no need for fine-tuning or a multiverse. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

To establish that the 26 Standard Model parameters represent a unique fixed point in a self-consistency map.

March 8, 2026Open Access

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

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.

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Discussion

Authors

Pei-Yuan Ju

Actions

Institutions

Taipei City Government

References and Citations

Connected Papers

Building similarity graph...

Analyzing shared references across papers

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

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Authors

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion

Cite this study