2017/12/04 by Stephen L. Adler, Adler, Stephen L.
Decision Sciences · Mathematics · Physics and Astronomy · #Combinatorics #Condensed matter physics #FOS: Physical sciences #Function (biology) #Heat capacity #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Image (mathematics) #Materials science #Mathematical Approximation and Integration #Mathematical analysis #Mathematics #Metal #Metallurgy #Noise (video) #Observable #Other Condensed Matter (cond-mat.other) #Physics #Probabilistic and Robust Engineering Design #Quantum Physics (quant-ph) #Quantum mechanics #Thermal conductivity #Thermodynamics #Upper and lower bounds #cond-mat.other #hep-ph #hep-th #quant-ph
paper · pdf · doi:10.48550/arxiv.1712.01071
Latex, 6 pages. This paper has been extensively rewritten as a joint article with A. Vinante, arXiv:1801.06857, and that is the version which will be submitted for publication
openalex publication_date 2017/12/04 · arxiv created 2018/01/23 · arxiv updated 2018/01/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Heating induced by the noise postulated in wave function collapse models leads to a lower bound to the temperature of solid objects. For the noise parameter values λ=\rm coupling~strength∼ 10-8 \rm s-1 and rC =\rm correlation~length ∼ 10-5 \rm cm, which were suggested \citeadler1 to make latent image formation an indicator of wave function collapse and which are consistent with the recent experiment of Vinante et al. \citevin, the effect may be observable. For metals, where the heat conductivity is proportional to the temperature at low temperatures, the lower bound (specifically for RRR=30 copper) is ∼ 5× 10-11 (L/rC) K, with L the size of the object. For the thermal insulator Torlon 4203, the comparable lower bound is ∼ 3 × 10-6 (L/rc)0.63 K. We first give a rough estimate for a cubical metal solid, and then give an exact solution of the heat transfer problem for a sphere.