Reflection, Information, and Directed State Measurement A measurability framework for wave, multilayer, and scattering systems

Schüller Thomas

Published May 19, 2026• 0 citations

Abstract

Reflection, Information, and Directed State Measurement A measurability framework for wave, multilayer, and scattering systems Author Thomas Schüllerforschung@tschueller.comORCID 0009-0003-9799-6747tschueller.com Status Working paper · v0.106 May 2026CC BY 4.0Correspondence welcomed

DOI: 10.5281/zenodo.20298687

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Reflection, Information, and Directed State Measurement A measurability framework for wave, multilayer, and scattering systems

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Published May 19, 2026• 0 citations

Publisher

Abstract

DOI: 10.5281/zenodo.20298687

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T \approx e^{-2\kappa L}

, where

\kappa = \sqrt{2m(V_0-E)}/\hbar

; for a rectangular barrier, exact

T = [1 + \frac{V_0^2 \sinh^2(\kappa L)}{4E(V_0-E)}]^{-1}

. No new constants or ratios emerge beyond

\hbar

m

V_0

E

L

. | CONNECTION: The exponential decay

e^{-2\kappa L}

has no direct ratio to 0.382/0.618/1.618; however, the *critical* condition

E = V_0

yields

\kappa = 0

and

T \to 1

(resonant transparency), which is a phase-transition-like threshold — analogous to a golden-ratio bifurcation point in some dynamical systems, but not evidenced here. No crystallographic or base-60 link. | DEPTH: 3 — Standard quantum mechanics, well-understood; the "impossible measurements" QFT paper (arXiv:2311.13 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com