Is there some test one might easily perform in a home test kitchen to compare the saltiness (due to the concentration of Na⁺ cations) of two liquid preparations, without involving biological taste buds?  --Lambiam 09:22, 30 December 2024 (UTC)[reply]

Put two equally sized drops, one of each liquid, on a warm surface, wait for them to evaporate, and compare how much salt residue each leaves? Not very precise or measurable, but significant differences should be noticeable. {The poster formerly known as 87.81.230.195} 94.1.223.204 (talk) 10:21, 30 December 2024 (UTC)[reply]

The principle is sound, but the residue from one drop won't be measurable using kitchen equipment -- better to put equal amounts of each liquid in two warm pans (use enough liquid to cover the bottom of each pan with a thin layer), wait for them to evaporate and then weigh the residue! Or, if you're not afraid of doing some algebra, you could also try an indirect method -- bring both liquids to a boil, measure the temperature of both, and then use the formula for boiling point elevation to calculate the saltiness of each! 2601:646:8082:BA0:BD1B:60D8:96CA:C5B0 (talk) 18:22, 30 December 2024 (UTC)[reply]

Presumably the liquid preparations are not simple saline solutions, but contain other solutes - or else one could simply use a hydrometer. It is unlikely that Lambian is afraid of doing some algebra. catslash (talk) 18:57, 30 December 2024 (UTC)[reply]

Assuming the liquid preparations are water-based and don't contain alcohols and/or detergents one can measure their rates of dispersion. Simply add a drop of food dye to each liquid and then time how rapidly droplets of each liquid disperse in distilled water. Materials needed: food dye, eye dropper, distilled water, small clear containers and a timer. Modocc (talk) 21:09, 30 December 2024 (UTC)[reply]

The colligative properties of a solution will indicate its molarity, but not identify the solute. Liquid preparations that might be found in a kitchen are likely to contain both salt and sugar. Electrical conductivity is a property that will be greatly affected by the salt but not the sugar (this does not help in distinguishing Na⁺ from K⁺ ions though). catslash (talk) 22:23, 30 December 2024 (UTC)[reply]

That's what I'm thinking too -- use an ohmmeter to measure the electrical conductivity of the preparation, and compare to that of solutions with known NaCl concentration (using a calibration curve-type method). 73.162.165.162 (talk) 20:18, 31 December 2024 (UTC)[reply]

Quantitative urine test-strips for sodium seem to be available. They're probably covering the concentration range of tens to hundreds millimolar. DMacks (talk) 00:58, 2 January 2025 (UTC)[reply]

Thanks, test strips seem more practical in the kitchen setting than an ohmmeter (why not call it a "mhometer"?), for which I'd need to devise a way (or so I think) to keep the terminals apart at a steady distance. Test strips require a colour comparison, but I expect that a significant difference in salinity will result in a perceptible colour difference when one strip is placed across the other. Only experiment can tell whether this expectation will come true. Salinity is usually measured in g/L; for kitchen preparations a ballpark figure is 1 g/L. If I'm not mistaken this corresponds to (1 g/L) / (58.443 g/mol) ≈ 0.017 M = 17 mM. I also see offers for salinity test strips, 0–1000 ppm, for "Science Education".  --Lambiam 11:40, 2 January 2025 (UTC)[reply]

Test strips surely come with a printed color-chart. But if all you are trying to do is determine which is more salty, then that's even easier than quantifying each separately. Caveat for what you might find for sale: some "salinity" tests are based on the chloride not the sodium, so a complex matrix that has components other than NaCl could fool it. DMacks (talk) 18:44, 2 January 2025 (UTC)[reply]

1. In Wikipedia, the page relativistic length contraction is automatically redirected to our article length contraction, which actually doesn't mention the term "relativistic length" at all. I wonder if there is an accepted term for the concept of relativistic length.

2. A similar qusestion arises, at to the concept of relativistic time: The page relativistic time dilation, is automatically redirected to our article time dilation, which prefers the abbreviated term "time dilation" (59 times) to the term "relativistic time dilation" (8 times only), and nowhere mentions the term "relativistic time" alone (i.e. without the third word "dilation") - although it does mention the term "proper time" for the shortest time. Further, this article doesn't even mention the term "dilated time" either. It does mention, though, another term: coordinate time, but regardless of time dilation in Special relativity. To sum up, I wonder what's the accepted term used for the dilated time (mainly is Special relativity): Is it "coordinate time"? "Relativistic time"?

HOTmag (talk) 09:32, 30 December 2024 (UTC)[reply]

Are you reading these things as "contraction of relativistic length" etc.? It is "relativistic contraction of length" and "relativistic dilation of time". --Wrongfilter (talk) 09:37, 30 December 2024 (UTC)[reply]

When I wrote:The page relativistic time dilation is automatically redirected to our article time dilation which...nowhere mentions the term "relativistic time" alone (i.e. without the third word "dilation"), I had already guessed that the term "dilation of relativistic time" (i.e, with the word "dilation" preceding the words "relativistic time") existed nowhere (at least in Wikipedia), and that this redirected page actually meant "relativistic dilation of time". The same is true for the redirected page "relativistic length contraction": I had already gussed it didn't mean "contraction of relativistic length", because (as I had already written):the article length contraction...doesn't mention the term "relativistic length" at all.

Anyway, I'm still waiting for an answer to my original question: Are there accepted terms for the concepts, of relativistic length - as opposed to proper length, and of relativistic time - as opposed to proper time? HOTmag (talk) 10:12, 30 December 2024 (UTC)[reply]

A term that will be understood in the context of relativistic length contraction is relative length – that is, length relative to an observer.^[1][2][3]  --Lambiam 10:55, 31 December 2024 (UTC)[reply]

Thank you. The middle source uses the term "comparative length", rather than "relative length". I couldn't open the third source. HOTmag (talk) 08:04, 1 January 2025 (UTC)[reply]

The text under the graph labelled Comparative length on page 20 of the middle source reads:

Graph of the relative length of a stationary rod on earth, as observed from the reference frame of a traveling rod of 100cm proper length.

A similar use of "relative length" can be seen on the preceding page.  --Lambiam 10:23, 2 January 2025 (UTC)[reply]

I was watching this video Brian Greene and Juan Maldacena as they explore a wealth of developments connecting black holes, string theory etc, Juan Maldacena said something right after "Geometry of" Here is the spot: https://www.youtube.com/live/yNNXia9IrZs?si=G7S90UT4C8Bb-OnG&t=4484 What is that? HarryOrange (talk) 20:46, 30 December 2024 (UTC)[reply]

Schwarzschild solution. --Wrongfilter (talk) 21:05, 30 December 2024 (UTC)[reply]

Thank you, its the Juan Maldacena's accent which made me post here. HarryOrange (talk) 21:18, 30 December 2024 (UTC)[reply]