Here I place comments on analyses and graphic presentations from https://parisagreementtemperatureindex.com/about/ An excellent contribution to the knowledge of global warming by Chris Priest!

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The most recent graphic presentation is super https://parisagreementtemperatureindex.com/spiral-of-global-heat/ The global average temperature raise for a months average is shown in a pattern give the time of the year in a succession of years like a spiral where the attention gets to hot years. That Earth gets hotter at an increasing speed seems very convincing. It is updated to the last day and does not use any extrapolation or assumption about future development. By far the most exciting I have seen. It is extremely disappointing that such a fantastic product get so little attention and is not spread more!

A question is what the single green spiral is and why the intensity is varying. Perhaps it would be clearer what the color code temperature of temp was for early years if the circles were not all yellow but color relevant to temp, circles could be thicker to indicate way are something else. The year in the middle at start could be “year zero” instead of empty. When coming to 2024 it is very bleak, can it not be brighter? It is the highlight! Perhaps also a short stop before tilting? It runs to fast like the previous presentation, reduce the speed to half!

Below I make some analyses constructing tables 1-3 based on data, terminology and considerations from https://parisagreementtemperatureindex.com/ Paris Agreement Temperature Index – Just how hot is it ? An excellent contribution to the knowledge of global warming by Chris Priest! I also added a Table 4 based on my own suggestion for a measure of global warming: When a temperature has been passed 100 days!

I have also below commented on presentations but nothing essential.

The global warming may be associated with another dramatically increasing change by time, which I have not seen well quantitavely documented somewhere else. The interval when the first days and periods with an increased temperature becomes much shorter.

See https://parisagreementtemperatureindex.com/1000-day-climate-graphic-design/ for temperature on earths surface data Global Mean Surface Temperature (GMST). The Milestones of temperature raise are 0.50, 1.00, 1.25, 1.50, 1.75 and 2.00 raise above preindustrial era.
The table 1 extracted shows year when First Day anomaly above GMST Milestone occured. There is a “random” variation among Days and Months confusing the picture. Thus even if no warming there is a variation in observed deviations, and a “first day or month” 0.25C warmer than average is expected to occur. When the rate of warming is smaller that has a bigger influence of year of first occurance. Thus the “true” intervals are less reliable earlier years when warming was smaller.

Table 1

GMST “Milestone”	First Day over Milestone	Years from First Day above previous First Day above Milestone	Heating speed, degrees/year
0.75 C	Feb 1941
1.00 C	Jan 1958	19	0.25/19 =
1.25 C	Feb 1995	37	0.25/37=
1.50 C	Dec 2015	20	0.25/20=
1.75 C	Feb 2016	1	0.25/1=0.25
2.00 C	Nov 2023	7	0.25/7=

I formulated it on twitter as : It took only 8 years between the first Day with a temperature anomaly > 1.5 C and a Day with >2 C (end of 2023), while it took 57 years to raise from 1.0 to 1.5. It seems evident from Table 1 that it is a trend since 1958 to 2023 that it takes shorter time to pass from a Milestone to next.

Now consider the first Month above a Milestone from the figure at °C Milestones – From First Appearance to Permanence – Paris Agreement Temperature Index

To understand how well some of this information is known and discussed among professional climatologists I made comments on the blogg of the Swedish Meteorological and Hydrological Institute global uppvärmning pradoxala resultat – SMHI (kundo.se) . My opinion based on the response is that they are not very aware. I sent a reply but it seems neglected, the authority seems avoiding deeper discussions, but sticking to informing.

Table 2

Milestone, anomaly C	Year first month >Milestone	Interval, years to previous Milestone
0.75	1979
1.00	1997	17
1.25	2014	17
1.50	2015	1
1.75	2023	8
2.00	?

Data from, 1000 Days above 1.5C before Trend passes 1.5C? (parisagreementtemperatureindex.com)

Table 3

I do not think it is so important how 1.5 is exactly defined as it is only “if possible” and it is sure it will be passed, the exact date is most for newspapers headlines. But 2 is more important how it is defined as the goal is to keep well below. But on the other hand UN could define some measures of temperature raise which are yearly reported, would cause less confusion but also less development.

I make an article about speed of passing milestones. Very interested if something similar done by someone else! https://tidningenglobal.se/2024/5-augusti-2024/den-globala-uppvarmningstakten-underskattas/

Probably the heating over time accelerates, but the speed of acceleration is easily over-estimated at the end of a hot period there we are now.

Actually, we do not have the answers to the big questions. The majority of the universe is unknown, it consists mainly of dark matter and dark energy known only by their effect on gravity. We do not know how universe looks outside what we can see because the limits set by speed of light. We do not know if others are aware of their existence, we do not know if our spirit will survive death or not, nor do we know if there are higher levels of consciousness than our own. We do not understand how the universe began, and we are uncertain of how it will end. Einstein once said that God does not play dices, but it seems he do. Even mathematics has unprovable theorems. Thus it is a risk to rely too much on a mathematicical-physical models.