studiot

Instead of the over lenghty preamble, can I suggest you explain/define some of the terms you are hefting about ? I am a retired applied mathematician, who has also (had to) studied lots of other applied subjects to go with the mathematics. So I was always interested in verifiable answers and results. Since I have been retired I have taken the opportunity to look into the foundations of Mathematics to widen my base. And I have never heard of 'Natural Geometry'. So first of all what is Natural Order ? And then what is Natural Geometry ? Never mind your famous solution, that would be for a much later post when I and other members understand what you think is wrong with Mathematics in general and Geometry in particular. In other words what is the problem that needs this 'solution' ?

Well go on then, demonstrate it. Since it is geometry and you are new here, do you need help posting something ?

Wiki has another more detailed article on rotations https://en.wikipedia.org/wiki/Rotation_formalisms_in_three_dimensions

You need Euler's equations of motion for this. https://en.wikipedia.org/wiki/Euler's_equations_(rigid_body_dynamics) For any shape other than a perfect sphere rotation about one of the three axes will lead to a chaotic motion.

I don't know what was in the other 70% of your hydrochloric acid. What colour is it to start with? As a matter of interest I opened one of my turmeric extract capsules (from Hey products in London). Inside I found a yellow powder very similar in colour to the turmeric in my spice jar. Upon testing it turned my limescale acid from bright blue to bright green, just as the spice turmeric did. Again there was no hint of red. Adding water just thinned the green down. This is interesting. Where did your turmeric extract capsules come from and have you found them of any value ? I have just started trying them for my arthritis after a very strong recommendation from a friend.

Must be some expression they use in Glos. No wonder I didn't understand. And can we borrow a few cricketers please ?

Like all employment practices, performance related pay can be well implemented and beneficial to both sides. Or it can be abused by one side or the other (or both).

Here is a ph calculator for HCl solutions https://www.oxy.com/globalassets/documents/chemicals/products/chlor-alkali/tech-calculated_ph_values_hcl.pdf

Lovely and simple that even my dog can understand it. +1 But please note that whilst all lines of longitude are geodesics, the equator is the only line of latitude that is one. So lat andm long constitute a mixed coordinate system, not a pure geodesic one. @Mitcher This reminds me of another mathematical oddity. The Hairy Ball Theorem and the Mermin-Ho Theorem and their relation to singularities and Index Theory. https://en.wikipedia.org/wiki/Hairy_ball_theorem https://www.parabola.unsw.edu.au/files/articles/2000-2009/volume-43-2007/issue-2/vol43_no2_3.pdf http://www.maths.adelaide.edu.au/hang.wang/resources/What-is-Index-theory-1.pdf https://physics.stackexchange.com/questions/656025/how-does-the-mermin-ho-theorem-handle-singularities-arising-from-the-hairy-ball

I tried some old turmeric from my spice drawer in some Tesco limescale remover. Unfortunately this limescale remover has a bright blue dye so the result was a bright green solution, with no hint of red. The concentration of HCl is stated as 6.75g per 100g so appears a bit weaker than yours. I will have to calculate it's pH. That is the best I can do on a Sunday evening.

I don't have colours below pH 2, but will try the experiment. The above is from my link Have you tried this with turmeric from any other source ?

I am reporting failure to address my example, (also noted by Joigus) as a breach of forum rules. You cannot make potassium aluminium sulphate without the interaction of 3 separate and distinct bodies. You introduced molar quantities and mass: the dynamics of this reaction proceeds in accordance with the law of mass action.

All good then.

Well the pH of 30% HCl is less than 1 and MY turn from yellow at pH 2 to red at pH 1 so it could be present, depending upon how much HCl you added. Do you know the source of your turmeric or its physical form ? The yellow colour in turmeric is due to curcumin, which is normally neutral to alkaline pH (greater than 7). Here are some pictures of pH variation from 2 to 13 The curcumin color changes from pH 2-13 (a), and the curcumin UV-VIS... | Download Scientific Diagram (researchgate.net)

Ahem ?

Why should I ? This was a direct response to your claim that there are no sellers that do not have the right to force a price on me.

Have you tried to negotiate a price with a water company lately ?

The problem with trying to argue with real scientists when you know so little, and in particular trying to lay down absolutes, is that you soon get found out. The formation of potassium aluminium sulphate requires 3 bodies. Indeed the formation of any substantial quantity requires this many times over. Potassium alum - Wikipedia Any gardner will attest to this

I wonder why politicians don't like that idea ? +1 🤣

Isn't two a a number ?

So why do the reflective surfaces not emit this light under other conditions ? And when they do emit light, that light is not generally of the same colour as the incident light that they reflect ? Have you ever 1) Built a laser 2) Experimented with a laser ? 3) Used a laser for any (practical) purpose ?

+1 The funny thing is that he has said this (only two things), amongst other things in his 'papers' .

That is contrary to my direct experience. The rest of this nonsense seems to me to be a best a hoax generated by some computer program to create quasi logical links between entries in a scientific dictionary. At worst is could be advertising for the commercial sites you have linked to at lexiclonedotcom.

Do you have figures to prove this ? Since America probably provides both the largest supply and market for SF I very much doubt it. Though glowing compliments for British writers are welcome, I think they are undeserved. I see that clarion workshops are still going, after a hiatus during covid and the recent death of Vonda Mcintyre. https://en.wikipedia.org/wiki/Clarion_Workshop

I note this thread has now been moved by the moderators to speculations. I'm sorry but if you can't or won't clarify your misuse of other people's terminology I can't see this thread surviving much longr before it is closed. It is a shame you do this whilst claiming What respect ? How many centuries ? As a matter of record Avogadro did not claim a particular number when he introduced his postulate in 1811. "Equal volumes of different gas under the same conditions of temperature and pressure contain the same number of molecules" As @joigus has pointed out that we have derived a number (Perrin 1911) from this postulate that is applicable in our current system of units. I am particularly concerned with your unsupported misuse of Mathematics, whilst invoking Cantor. In particular in the set {elephant, monkey, tangerine} all those three objects are accumulation points, quite unrelated to whatever you mean by 'accumulation points'.