Project Rosetta: The Approximation Entropy & The Fractal Limits of Digital Physics — v2.0 (Planck-Radix Correction + Qudit Manifesto)

V2.0 / Rosetta v4.0 of Project Rosetta. Corrects the V1.0 thesis: the transmon spectrum IS discrete (Planck quantization E_n = n*hbar*omega), but the field truncates it to binary (n in {0,1}) — a radix error, not a physics error. The transmon is a qudit (d~12 resolvable levels), not a qubit. Quantifies S_Base = ln(d/2) ~ 1.79 nats — the irreducible thermodynamic cost of binary truncation. New Introduction ("The Binary Straitjacket"), new Planck-Radix Correction section, revised HAL-Axiom 2, new "The Qudit Manifesto" section. 11-page PDF, 17.6K chars, 44 references. Constructive proposal: replace qubit QEC with qudit QEC on existing transmon hardware.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-22
DOI
https://doi.org/10.5281/zenodo.21486779
Primary Topic
Advanced Thermodynamics and Statistical Mechanics
Type
preprint
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preprint

Project Rosetta: The Approximation Entropy & The Fractal Limits of Digital Physics — v2.0 (Planck-Radix Correction + Qudit Manifesto)

Rowan Brad Quni-Gudzinas
Zenodo (CERN European Organization for Nuclear Research)
Advanced Thermodynamics and Statistical Mechanics
preprint

Project Rosetta: The Approximation Entropy & The Fractal Limits of Digital Physics — v2.0 (Planck-Radix Correction + Qudit Manifesto)

Rowan Brad Quni-Gudzinas
preprint en

Abstract

V2.0 / Rosetta v4.0 of Project Rosetta. Corrects the V1.0 thesis: the transmon spectrum IS discrete (Planck quantization E_n = n*hbar*omega), but the field truncates it to binary (n in {0,1}) — a radix error, not a physics error. The transmon is a qudit (d~12 resolvable levels), not a qubit. Quantifies S_Base = ln(d/2) ~ 1.79 nats — the irreducible thermodynamic cost of binary truncation. New Introduction ("The Binary Straitjacket"), new Planck-Radix Correction section, revised HAL-Axiom 2, new "The Qudit Manifesto" section. 11-page PDF, 17.6K chars, 44 references. Constructive proposal: replace qubit QEC with qudit QEC on existing transmon hardware.

Zenodo (CERN European Organization for Nuclear Research)
Camber Collective (United States) (US)
Advanced Thermodynamics and Statistical Mechanics
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