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Hydrogen Matrix Lab / Report

Hydrogen Matrix Lab 0.1.0 — checked result

Earlier indexed version20 Sept 2026 · saved

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01 / THE QUESTION

Editorial guide

Can a finite Cartesian matrix reproduce the exact ideal hydrogen 1s density and its radial moments, with an independent script checking the numbers?

02 / WHAT THE RECORD SAYS

Source passage

A separate script that does not import the implementation recomputed the radial normalization and moments using SciPy quadrature and recomputed the voxel integrals directly from the saved NPZ matrix. All seven declared checks passed:

03 / LIMITS & OPEN POINTS

Source passage

this result validates the implementation against standard hydrogen quantum mechanics; it does not validate a new ontology, a literal electron path, seven physical dimensions, P=NP, or a theological identification.

04 / THE NEXT QUESTION

Source passage

Add the `2p_z` state, verify its nodal plane and normalization independently, and compare its two-lobed signed wavefunction with its nonnegative probability density.

05 / CHECKS IN THE RECORD

Source passage

A separate script that does not import the implementation recomputed the radial normalization and moments using SciPy quadrature and recomputed the voxel integrals directly from the saved NPZ matrix. All seven declared checks passed: - continuous normalization, mean radius, and mean-square radius; - matrix normalization, mean radius, and RMS radius; - equality of the three matrix second moments to numerical precision.

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Access
Public
Dates declared in the record
Not recorded
Project basis
Editorial topic association
Origin
d0re research collection (snapshot 1 October 2026)
Original path
/The Theory of Reality/Hydrogen Matrix Lab/RESULTS.md
Authorship basis
Collection attribution; original record retains its own credits
Title basis
From the source
Date
20 Sept 2026 · saved
Status basis
mechanical v0: a later release exists in hydrogen-matrix-lab
Size
2,771 bytes
Word count
418 words
SHA-256 of indexed source
26ff0912ad26e04d22242816a5867f5c90b10c7c937bd6ec2c50a61fde228a37

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Hydrogen Matrix Lab 0.1.0 — checked result
Version 0.1
2026-09-20
d0re research record r-26ff0912ad26
https://www.d0re.com/library/records/r-26ff0912ad26.html
Authorship basis: Collection attribution; original record retains its own credits
Date basis: saved
Source SHA-256: 26ff0912ad26e04d22242816a5867f5c90b10c7c937bd6ec2c50a61fde228a37

Independent research by Anthony Michael Collado.
Original credits remain with each source.