Richard:
I have requested you to provide documentation of your claims. All you have provided is some wavy lines and claims that lack any documentation. I will take a stab at this.
Here is Newtons Law of Cooling from Wikopedia:
Newton’s law of cooling states that the rate of heat loss of a body is directly proportional to the difference in the temperatures between the body and its surroundings provided the temperature difference is small and the nature of radiating surface remains same.
Here is the equation:
dT/dt=-k(T-T0)
This equation may be restated as a differential equation and solved. In no statement of the equations is R-value present.
This equation allows you to calculate the rate at which an object cools to its environment. For example, if you take a cup of coffee and set it on a table. Measure the temperature of the coffee. Let 5 minutes pass. Measure again. With these two temperature measurements and the known time differential, you can solve the differential equation and determine the time required to reach any temperature down to ambient.
If you plot the temperature versus time equation, you get a graph that decreases at a decreasing rate. This is because the rate of BTU loss for each subsequent unit of time is less as Delta T increases.
What drives this phenomenon is convective and radiant heat loss.
In the simplest use of this equation, if you know the starting temperature of the object and the ambient temperature to which it cools, you can measure the temperature drop over any time period and use the equation to calculate the required to drop to any temperature above ambient.
Here is a simple example. We have an object with a temperature of 100oC. It is in ambient of 50oC. We know that it cools to 80oC in twelve minutes time. Let’s plot a curve of the time required to reach zero, showing time and temperature on the way.
We solve this using the following formula:
T(t)= Ts+(To-Ts)e^kt
T(t) =Temperature at time t
Ts= Ambient Temperature
To=Object Temperature
k=constant
We can solve for the constant and then calculate all the values. The constant, when the equation is solved is -.04257.
Using this constant we can produce the following curve of the object cooling. On this graph I also show the watts of heat transfer at each time interval using an assumed area. The watts calculation incorporates radiant transfer at an assumed emissivity and convective cooling for an assumed convective cooling transfer coefficient for heat loss in still air.

The blue line shows how quickly the object cools. Because we measured cooling for a predetermined interval, all thermal properties of the object are implicit in the rate of cooling. We do not need to define R value, mass, surface emissivity, or the convective heat transfer coefficient. This also means that none of those parameters change during the cooling process. If they do, the calculated rate of change will differ from the actual.
As we can see from this discussion, Newtons cooling law does not explicitly incorporate R value and cannot actually function if R values were to change. Cooling slows over time because the temperature difference diminishes and less energy per unit time is transferred to the environment. The relationship is elegant and simple.
For typical heat transfer calculations, it is by definition that R values do not change with temperature. This is inherent in the basic heat transfer equation: Q=u(T1-T2) where
Q=Heat Transfer, u= conductivity, T1-T2 is the temperature difference across the test sample. U is the reciprocal of R value.
However, for a class of materials, where heat transfer may be a combination of radiant, convection and conduction transfer, there may be a temperature dependency on R value. This class of materials includes insulating materials. The only study of this behavior of which I am aware deals with building materials. An example material is fiber glass batt insulation. Here is a link: https://www.buildingscience.com/documents/special/thermal-metric-documents/thermal-metric-summary-report
As an example from this report, over a temperature range of 72oF to-18oF, the measured R value of R-13 fiber glass batt insulation varied from R-12.8 to R-14.9. In other words, a pretty small variation over a wide temperature range. I suppose this behavior may apply apply to down and other garment insulating materials. I have not come across any documentation that this occurs. If it does, it is minor.
Based on this discussion, I do not see the merits of Richards claims concerning Newton’s Cooling Law and the methods I use to measure R value. Further, for the steady state measurements that I took to measure R value, the temperature dependency relationship described in the referenced document would have no bearing on the conclusions. The conclusions will stand.
I don’t know if anyone is concerned enough to follow this thread. However, it might be best to continue this discussion off line. It is certainly getting in the weeds. Richard, if you would like to, please PM me. Also, if you PM me, I will send you a paper by a colleague (and Phd physicist) that documents a methodology similar to mine for extracting R values using thermal imaging as well as other instrumentation. I would welcome the dialogue. If you have no further expert sources to cite, or a clearer description of what you object to, I am not sure it makes any sense to continue this thread.