TY  - JOUR
AU  - Barton, Jordan
PY  - 2026
DA  - 2026/11/11
TI  - Coherence Thermodynamics: A Phenomenological Framework and a Numerical Field Model for Black-Hole Morphology
JO  - Journal of Numerical Simulations in Physics and Mathematics
T2  - Journal of Numerical Simulations in Physics and Mathematics
JF  - Journal of Numerical Simulations in Physics and Mathematics
VL  - 3
IS  - 1
SP  - 60
EP  - 72
DO  - 10.62762/JNSPM.2026.976035
UR  - https://www.icck.org/article/abs/jnspm.2026.976035
KW  - quantum coherence
KW  - information thermodynamics
KW  - black-hole jets
KW  - phase singularity
KW  - numerical convergence
AB  - Quantum coherence is increasingly recognised as a thermodynamic resource that free energy alone cannot describe. This work develops a phenomenological thermodynamics for coherence-information (C-I) systems, idealised systems composed only of information and the coherent relations among its elements, and tests a numerical realisation of it against black-hole morphology. A minimum-action postulate, $\Delta C\cdot\Delta I \geq h/\pi$, is combined with a gradient-based semantic entropy and an equipartition-based semantic temperature to formulate five laws and three dimensionally consistent operating modes. For black holes the framework gives a thermodynamic coherence $C_T = 2/(Mc^2)$, which grows as the hole loses mass. A three-dimensional field model encodes U(1), $\mathbb{Z}_2$ and $\mathbb{Z}_3$ symmetry breaking through the geometric phase $m\theta + \omega R + \lambda_{\mathrm{vert}}\cos\phi$ and was examined with grid-convergence tests, control runs with azimuthal orders $m = 1$-$6$ and closed-form predictions. The azimuthal phase contains a phase-defect line on the symmetry axis. Without regularisation, the maximum field gradient scales inversely with the grid spacing and the axial enhancement of the certainty ratio grows with resolution. With a core radius $a \geq 0.5$, all diagnostics converge to within 3%. The number of decoherence maxima is always $2m$, so the six hot-spot-like features follow directly from the choice $m = 3$. Their spiral pitch, $-\omega/m$, and hemispheric twist, $-2\lambda_{\mathrm{vert}}\cos\phi/m$, agree with the simulations to within 9% and 0.3%, respectively. The model therefore maps imposed symmetry parameters onto observable morphology through explicit relations, yielding falsifiable predictions such as a flux quasi-periodicity at $2m$ times the hot-spot orbital frequency, while its astrophysical interpretation remains phenomenological.
SN  - 3068-9082
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  - 

@article{Barton2026Coherence,
  author = {Jordan Barton},
  title = {Coherence Thermodynamics: A Phenomenological Framework and a Numerical Field Model for Black-Hole Morphology},
  journal = {Journal of Numerical Simulations in Physics and Mathematics},
  year = {2026},
  volume = {3},
  number = {1},
  pages = {60-72},
  doi = {10.62762/JNSPM.2026.976035},
  url = {https://www.icck.org/article/abs/jnspm.2026.976035},
  abstract = {Quantum coherence is increasingly recognised as a thermodynamic resource that free energy alone cannot describe. This work develops a phenomenological thermodynamics for coherence-information (C-I) systems, idealised systems composed only of information and the coherent relations among its elements, and tests a numerical realisation of it against black-hole morphology. A minimum-action postulate, \$\Delta C\cdot\Delta I \geq h/\pi\$, is combined with a gradient-based semantic entropy and an equipartition-based semantic temperature to formulate five laws and three dimensionally consistent operating modes. For black holes the framework gives a thermodynamic coherence \$C\_T = 2/(Mc^2)\$, which grows as the hole loses mass. A three-dimensional field model encodes U(1), \$\mathbb{Z}\_2\$ and \$\mathbb{Z}\_3\$ symmetry breaking through the geometric phase \$m\theta + \omega R + \lambda\_{\mathrm{vert}}\cos\phi\$ and was examined with grid-convergence tests, control runs with azimuthal orders \$m = 1\$-\$6\$ and closed-form predictions. The azimuthal phase contains a phase-defect line on the symmetry axis. Without regularisation, the maximum field gradient scales inversely with the grid spacing and the axial enhancement of the certainty ratio grows with resolution. With a core radius \$a \geq 0.5\$, all diagnostics converge to within 3\%. The number of decoherence maxima is always \$2m\$, so the six hot-spot-like features follow directly from the choice \$m = 3\$. Their spiral pitch, \$-\omega/m\$, and hemispheric twist, \$-2\lambda\_{\mathrm{vert}}\cos\phi/m\$, agree with the simulations to within 9\% and 0.3\%, respectively. The model therefore maps imposed symmetry parameters onto observable morphology through explicit relations, yielding falsifiable predictions such as a flux quasi-periodicity at \$2m\$ times the hot-spot orbital frequency, while its astrophysical interpretation remains phenomenological.},
  keywords = {quantum coherence, information thermodynamics, black-hole jets, phase singularity, numerical convergence},
  issn = {3068-9082},
  publisher = {Institute of Central Computation and Knowledge}
}