Theory of Reality / Article

Positive modes. A finite difference. An attractive force.

Current15 Oct 2026 · stated in source

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01 / THE QUESTION

Editorial guide

Can a finite lattice of positive mode energies reproduce the one-dimensional Casimir piston force without treating −1/12 as an ordinary sum?

02 / WHAT THE RECORD SAYS

Source passage

The finest fixed/fixed force is −0.116355283601548, compared with the standard continuum piston benchmark −0.116355283466289. The relative difference is about 1.16×10⁻⁹.

03 / LIMITS & OPEN POINTS

Source passage

This is a specified one-dimensional scalar model, not three-dimensional electromagnetic matter.

04 / THE NEXT QUESTION

Source passage

A genuine transfer to material-specific electromagnetism would need the field content, dispersion, dissipation, geometry, boundaries and measurement response to be justified and then tested independently.

05 / CHECKS IN THE RECORD

Source passage

Finite harmonic model · local replay

Previous connections

Finite Wave Mode Handoffreading (verified)
Finite Wave Mode Replayreading (verified)

Source & provenance

Access: Public
Dates declared in the record: Not recorded
Project basis: research edition 02
Origin: d0re.com research edition 02
Original path: dist/research/finite-waves.html
Authorship basis: Anthony Michael Collado
Title basis: From the source
Date: 15 Oct 2026 · stated in source
Status basis: An article of research edition 02 (15 October 2026), based on r-49c565ef3e8c and that edition's replay r-d92d78896f83: 'This repeats the same supplied model; it is not fresh experimental validation.'
Size: 9,839 bytes
Word count: Not recorded
SHA-256 of indexed source: 23190fab092594057c63f9a7e82b777e75656657f05d6854727d4f742d29c8b9

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Positive modes. A finite difference. An attractive force.
2026-10-15
d0re research record r-art-finite-waves
https://www.d0re.com/library/records/r-art-finite-waves.html
Authorship basis: Anthony Michael Collado
Date basis: declared
Source SHA-256: 23190fab092594057c63f9a7e82b777e75656657f05d6854727d4f742d29c8b9