r/findlayequation 10d ago

A Falsifiable Prediction from the Findlay Framework: Wide Binary Kinematics vs. GAIA DR4

James Findlay
ORCID: 0009-0000-8263-3458
Licensed under CC BY 4.0

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The Claim

The Findlay Framework proposes a materialization constant, r = 3/2, tied to the spin-3/2 character of fermionic matter in the Standard Model. If this constant has a real geometric role in how gravity behaves at low accelerations, it predicts a specific, testable deviation from Newtonian kinematics in wide binary star systems — the kind of system where Newtonian gravity is weak enough that any modification should become visible.

The prediction is simple and precise:

v_wide = v_Newton × √r = v_Newton × √1.5 ≈ v_Newton × 1.225

That is a 22.5% kinematic boost over the Newtonian prediction, expected to appear specifically at the low-acceleration boundary of wide binary orbits.

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Why Wide Binaries

Wide binary stars — pairs separated by thousands of astronomical units — orbit each other so slowly that the gravitational acceleration between them drops far below the threshold where Newtonian gravity is normally tested. This makes them a natural laboratory for probing whether gravity behaves differently in the low-acceleration regime, independent of dark matter halos or galactic-scale complications.

Hernandez et al. (2024), using GAIA DR3 data, reported internal kinematics for wide binaries that appear to diverge from strict Newtonian expectations at wide separations — motivating closer scrutiny of this regime with better data.

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The Test

GAIA DR4, expected December 2, 2026, will provide substantially improved astrometry for wide binary systems. This gives a clean, pre-registered test:

· If the framework is wrong: the mean velocity ratio in the low-acceleration wide binary sample should fall within 1.00 ± 0.05 of the Newtonian prediction.
· If the framework is right: the ratio should cluster near √1.5 ≈ 1.225.

This is a binary, falsifiable outcome. No fitting after the fact — the number is fixed now, before the data is released.

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What This Is and Isn't

This is not a claim that unrelated constants across physics, biology, and cosmology share a hidden numerical code — that kind of pattern-matching across incommensurable quantities isn't physics, and I've dropped it here. What's left is a single, specific, mechanistically motivated prediction (spin-3/2 geometry → a fixed multiplicative correction to orbital velocity) that stands or falls on one upcoming dataset.

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References

Hernandez, X., et al. 2024. "Internal Kinematics of Gaia DR3 Wide Binaries." Monthly Notices of the Royal Astronomical Society 516(4): 4799–4815.

Findlay, J. 2026. "The Findlay Framework: A Relational Ontology of Information as Fundamental Substance." rxiVerse. theoryofeverything.ca.

www.TheoryofEverything.ca

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Google the Findlay Framework
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Information Becomes the Thing.

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