What question did this study set out to answer?

This paper aims to explore the topological and algorithmic foundations of the proton-neutron mass difference.

June 23, 2026Open Access

The Holographic Circlette: Part 10 — Algorithmic Inertia, Landauer Bit-Weight, and the Topological Origin of the Proton-Neutron Mass Difference

DED. G. EllimanCatholic University of Mozambique

Key Points

This paper aims to explore the topological and algorithmic foundations of the proton-neutron mass difference.
Introduces the Berry-phase identification feeding into bit-weight and index density adjustments.
Recharacterizes the baryon-sector mass framing with respect to standards of quantum chromodynamics.
Employs RG analysis to examine hadronic confinement crossing points at specific energy scales.
Predicts a mass difference of m_d - m_u = alpha * Lambda_QCD, in 4% agreement with FLAG 2024 results.
Establishes Landauer cost per active bit at approximately 2.42 MeV.
Identifies a crossing point at Q* = 2.13 GeV in the hadronic confinement regime.

Abstract

Audit note. This paper predates the framework's methodology audit of 2026-05-30. Three recharacterisations apply: (i) §15 item 86 + 2026-05-29 correction: the Berry-phase = 2/9 identification feeding the bit-weight w = now reads as index density d/N on the lepton-Feshbach codespace rather than as a universal Chern number. (ii) §15 item 142: the baryon-sector mass framing is recharacterised as ``DGG constituent quark model in substrate clothing'' --- the mₙ - mₚ chromomagnetic / constituent-mass structure inherits standard QCD's parameter count, with one mass per heavy quark flavour as Target B. (iii) §16. 3 search-space audit: the parameter-free identification w = is currently at Proposition tier; its load-bearing status hinges on the Bipartite Grassmann Trace Theorem (ANCHOR §15 item 79) being rigorously proven, which would unify three independent appearances of We define physical inertia as algorithmic resistance. The effective Landauer cost per active bit is w=alpha*LambdaQCD~2. 42 MeV. This gives a parameter-free prediction md-mᵤ=alpha*LambdaQCD, in 4% agreement with the FLAG 2024 lattice average. RG analysis confirms crossing at Q*=2. 13 GeV in the hadronic confinement regime. 2026-06-20 legacy canon revision: This is a canon-reconciled legacy version. Older mechanism note; compare to record-action measure The paper retains its historical derivation trail but carries a 2026-06-20 canon revision note identifying current status and superseded claims. 2026-06-21 canon refresh: This version incorporates the 2026-06-21 ANCHOR/DRIFT/PTMS canon refresh and rebuilt local PDF.

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