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May 25, 2026Open Access

The Amplituhedron and the Bose–Einstein Condensate: Two Faces of the Same Harmonic Lattice

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PTPeter James Thompson

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Overview

Randomized trial shows interference patterns in BECs indicate scale invariance in harmonic structures, suggesting unification of physics concepts.

Key Points

  • This research aims to explore the connection between the Amplituhedron and Bose–Einstein Condensate through a shared harmonic lattice structure.
  • Evaluated the properties of the Amplituhedron and BEC within the framework of the Tau lattice.
  • Identified key parameters like the 27 Hz anchor and 32 dimensional harmonic ladder.
  • Proposed a testable prediction regarding interference patterns in BECs under specific conditions.
  • Interference patterns of two BECs exhibited a 32 harmonic comb when trap frequencies were integer multiples of 27 Hz.
  • Confirmed the unified structure of high energy and low temperature phenomena through the Tau lattice framework.
  • Demonstrated scale invariance and implications for the Grand Unified Theory.

Cite This Study

Peter James Thompson (2026) studied this question.

synapsesocial.com/papers/6a13e83b0e02ee3982d32f2dhttps://doi.org/10.5281/zenodo.20357467
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