https://en.m.wikipedia.org/wiki/Brachistochrone_curve
That's rightBut to less "with it " people in some forums it seems a terrible enigma. :-) The trouble with the maths is that it kills all vestige of the real world and prevents one seeing the demo in a different light. For example an analogue to Cold Fusion via catalysis. Years ago I got into correspondence with a couple of chemists, Gankin,V,Y. and Gankin Y.V. on the subject of catalysis. They reckoned that people didn't really understand it and so it was pretty empirical. They sent me a hardback copy of their latest book and asked me to review it. As an Engineer I felt I wasn't up to the task and declined. Now I see the trolly (chemical) as dropping dawn a pressure gravity gamma-atmosphere, increasing speed and coming back up to complete the reaction. The trolley reaction on the surface proceeds more slowly. The pressure drop can reach pF6 for water. pF scale > pF is a log scale for representing soil matric potential. Thus, > (17.1) pF = log10(-100y) > where y is the matric potential in metres of water. Notice that y is > always negative under unsaturated conditions. > For example, if your measured wilting point is -15 bar (-152.96 m water), > then the pF value is 4.2. https://www.youtube.com/watch?v=pYGNoZVrsxQ <https://www.youtube.com/watch?v=pYGNoZVrsxQ> Catalysis is essentially speeding up a reaction by dropping down field pressure gradients. If things remain on the surface then the reaction is slow - like the yellow car. I have shown that for water there is a hierarchy of three pressure fields (see Prof, Chapin's web site).. In a material like Palladium there must be dozens. These pressure fields can be manipulated by processing. I have shown that for clays. The Effect of Pulverization on the Quality of Clay-cement Influence du > Degré de Pulvérisation de l’Argile sur la Qualité du Sol-ciment by F. J. G > r im e r , B.Sc . and N . F. Ross, B.Sc., Road Research Laboratory, > Department of Scientific and Industrial Research, H arm ondsw orth, > Middlesex, England Mizuno processed his palladium and got a runaway reaction which he had to close down . He "tickled the dragon". To my mind that was clearly cold fusion. No one appreciates it because they have the wrong model of material behaviour. The right model involves humongous cognitive dissonance for acceptance in the chemical field - let alone by the hot fusioneers. As frequently happens in science, advance has to come from the outside. On Fri, 8 Jul 2022 at 14:34, Jones Beene <[email protected]> wrote: > This similar vid is even a bit more "fake" in terms of expectation > > https://www.youtube.com/watch?v=mvlmdPLMQM4 > > The more general phenomenon seems to be called the Brachistochrome Problem > > https://mathworld.wolfram.com/Brac > > Jones > > > Frank Grimer wrote: > > > https://www.youtube.com/watch?v=jlSv_IlXmBg > > Two cars. > > Green low road car arrives first. > > Real or Fake. > > Please explain your choice. > > > >
