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Other literature type . 2025
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License: CC BY NC ND
Data sources: Datacite
ZENODO
Project proposal . 2025
License: CC BY NC ND
Data sources: Datacite
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Dual-Sheet Seams In Water Surface Freezing - A Z₂- Gauge Validation Of Thermo-Mechanical Energy Through put

Authors: kirjonen, miikka; kirjonen, miikka;

Dual-Sheet Seams In Water Surface Freezing - A Z₂- Gauge Validation Of Thermo-Mechanical Energy Through put

Abstract

In this paper; I treat ice–water interface as a codimension-1 ridge endowed with a Z₂ sheet-exchange involution (choice of normal vector). The Stefan balance provides a sheet-even latent-heat flux diagnostic, while the signed normal heat flux (or signed curvature) furnishes a sheet-odd parity marker. Using a sliding-window analysis of high-frequency temperature and displacement measurements on a frozen lake, I apply the Bilax Return test (Eq. E3) to demand simultaneous closure of the even diagnostic and inversion of the odd marker under the ridge-pairing map. A complementary acoustic proxy (Pac) supplies an independent odd observable. Successful PASS outcomes certify that the freezing front behaves as a dual-sheet seam, establishing a rigorous field-theoretic description of lake-ice growth and its audible signatures. Water surface freezing as a codimension-1 interface embedded in 3D, with a thin near-surface layer where gradients and anisotropy concentrate. The “dual sheet” is the two-sided lift of that interface: choosing the normal vector n or −n- is a Z2 ambiguity. I applied the same Z₂-seam machinery that underpins our atmospheric curvature gate to the ice–water freezing front. The interface normal admits the binary involution ι :n ↦ −n, giving a two-sheet lift Σ~ and observable base Σ. Within each analysis window I extracted the four quadratic-echo amplitudes (7 Hz, 14 Hz, 8 Hz, 16 Hz) and formed the dimensionless seam kernel Q. Its argument yields the arrow-level clock θ; the axis-level clock θ ⁣ax is obtained by the Z₂ quotient θ↦θ+π. The odd observable was taken as the signed normal heat flux Pf, while the even diagnostic was the latent-heat release rate If. Using the palindromic pairing of windows I performed the Bilax Return test, obtaining tolerances εP=0.12 and εI=0.08 (bootstrap, B = 3000). Both the freezing front and the atmospheric gate passed the Bilax test, and the two standard nulls (phase-scramble, seam-off) each caused a complete loss of the palindrome certificate. This is the geometric origin of our ridge/seam involution. ι2=Id,ι:n↦−n. Terms & Conditions: The involution ι is not a physical mirror. It is the orientation flip of the local chart on the interface (the sheet exchange).

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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