this post was submitted on 03 Apr 2026
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c is a measurable constant, not some unit that is arbitrarily defined. Like Boltzmann's Constant, or the ground state hyperfine transition frequency of the Cesium-133 atom... it just... Is.
Therefore, it is a useful tool to define units. You claim it is a tautology because we write it in units of meters per second, while the meter is defined based on c. This is easily disproven, as you can represent the speed of light in any unit of velocity. It is a fundamental constant, derivable through experiment without any units a priori.
Ergo, it is 1
1 c, yeah.
dumbass
It's not useful to tell somebody it is constant without a way to make use of it. Without knowing how it's defined relative to other things we can't use it.
The thing about all the absolute physical constants is that they are almost all based on units defined relative to other things. Unitless constants (defined only as a ratio) are extremely rare (like the fine structure constant) - but even then you have to make up units to measure them (although you can still agree on unitless values with somebody else who chose different base units for measurements).
https://en.wikipedia.org/wiki/Dimensionless_physical_constant
Edit: the most obvious immediate reason Wolfram here is fully wrong is that Cesium frequency is defined as the frequency you measure when light of the correct energy/wavelength is emitted against the atom, to then measure the corresponding returned light of the right energy/wavelength.
To determine what that wavelength should be with your instruments you can measure things like the electric field and charges - which depends on units that are all defined relative to each other, and as soon as you start fixing some units (like when you have measured the energy state differential in the atom) then you will realize you have defined ratios between the units
The two constants - the speed at which light moves, and the unperturbed ground-state hyperfine transition frequency of cesium - can be combined to define every measurement of time, length, and velocity. They are the constants by which everything else is defined.
Throw in mass, which is easy - a certain number of atoms of a specific element will also have a universally constant mass. Combine it with the other two constants and you have force, energy, and work, and voila, you can describe nearly everything in classic physics.
You can't measure the cesium frequency without having other units defined.
https://en.wikipedia.org/wiki/Speed_of_light
Based on this observation we chose what count of cesium oscillations to use to define the second and meter.
But those constants are also defined relative to the others;
https://en.wikipedia.org/wiki/Vacuum_permeability
https://en.wikipedia.org/wiki/Vacuum_permittivity
https://pmc.ncbi.nlm.nih.gov/articles/PMC5907514/
And here;
https://math.ucr.edu/home/baez/physics/Relativity/SpeedOfLight/measure_c.html
Observe how every measurement of c measures it relative to something else!
The very fundamental constants in which we define c requires experimental measurements which we only can perform by already having other units defined and measuring things like forces relative to them! Even our choice to fix our units so c has a value more precise than we can measure simply means we choose to transfer the measurement errors into the less precise units, the non-fixed units
This does not make our measurements of c perfectly precise, it still retains measurement errors of c, but whenever we increase the accuracy in measuring c we choose to force that deviation from prior measurements into the other units depending on it. Similar to how you could first make an inaccurate calculation with Pi = 3.14 and then repeat it with hundreds of decimals, you choose to not let other numbers change Pi and let Pi change every else
You're also, separately, wrong about mass because it depends on measuring the gravitational force. The definition of mass has changed;
https://en.wikipedia.org/wiki/Kilogram
The Joule and Newton and Planck constant are all defined relative to each other!
... But you can also define Joule in terms of Ohm, in turn defined by Volt, defined by... The meter, second, Ampere (defined as a given number of charges per second), and... The kilogram.
And if you look at vacuum permeability again, which defines the speed of light, that too depends on the damn Newton which once again is defined circularly as ratios to other measured constants!
Tldr: Yes some properties of spacetime are absolute.
However, they are absolute RATIOS defined relative to each other. We took something we could measure reliably and then fixed some of these values relative to our most accurate measurements, and then derived all other values from those based on our measurements of what the ratios must be.
I was unaware that the person to whom I was replying, who claimed to be intimately familiar with the complete works of Feynman, needed instruction in how to "make use of" a fundamental constant of nature. If that is something you think is necessary, perhaps you should see to their instruction in such matters, as you are so confident in your faculties of condescending instruction.
Furthermore, I am acutely aware of the existence and nature of dimensionless constants, thank you very much.
For somebody who claims to be acutely aware, you really seem to have no idea what goes into calibrating measurement devices to be able to measure physical constants. In particular you have no idea how many other units go into calibrating them, and how you fundamentally can not get an accurate reading of a physical constant without that calibration. And for somebody claiming I'm the condescending one, you're awfully rude yourself
Just see the definition of the kilogram, and how it's now defined in relation to time, c, and the planck constant.
https://en.wikipedia.org/wiki/Caesium_standard
Oh so now we need to measure electromagnetic fields and charge to be able to hit the atom with light of the right energy to be able to measure time? And to verify the emitted frequency (both in and out) is right we need to define either energy (Joule, circular via either kilogram or Volt) or wavelength (directly circular)? Huh...
Everything meaningful is defined as relative properties, as ratios to other forces and properties of nature.
Again, I think you're replying to the wrong person. I never disagreed with any of this. I literally learned all of this years ago. I appreciate your attempt to educate, but I'm unclear on its purpose. The dude claimed that the speed of light is defined based on the meter, and that that makes it a tautology. That is simply, provably false. Then the dude tried to move the goalposts. Never did I say that our measurements are anything less than relative. Never did I suggest that our derived units are not based on fundamental constants. Now, you've said that the statement I made didn't tell the dude "how to make use of" dimensionless units, which is a complete non sequitur. If you feel that that lecture is an important one when a dude demonstrates a fundamental misunderstanding of what c even is, that's your own affair, and I invite you to give this lecture a few comment levels up to the guy who thinks that c is defined based on the meter.
It’s not about the units i used. It’s about using something to define itself. The same problem happens when you use c to define empty space since empty space can define c.
Once you decide which units are used in maxwells equations then the electromagnetic permeabikity and permissivity pops out as a proportions of c.
Read more Feynman if you don’t believe me.
That may be, and I've been meaning to dig into my copy of the Lectures, but that's moving the goalposts. You said that it was a tautology because it was defined by the meter, and the meter was defined on it. That statement is demonstrably false.
Everything in physics is defined by relative properties. Scale all fundamental units by the same factor and we can not detect any change in behavior whatsoever
Speed of light may be constant, but we can not make measure it through any other means then by measuring it in terms of ratios against other constants
I used the meter because that’s generally what is used for measurement in scientific endeavors. There was no goal post moving if the statement applies for all SI measurements.
Literally the entire point of the comment that you're responding to is that it isn't true for the metre, and it isn't true for any SI units.
Your entire claim of tautology rests on the assertion that the speed of light is defined by something external to light itself. That's false. It remains false irrespective of which SI measurements you swap in.
Just because the speed of light can be expressed in terms of SI units, doesn't mean its definition depends on them. Which is the point that wolframhydroxide was making.
This directly disproves your original assertion of tautology.
Every metric of speed of light is necessarily relative to other things. Even if you define as 1, now you must be able to know what one unit of time is relative to one unit of distance, and if you do not know that then you do not know that your speed of 1 means.
All fundamental units are defined relative to each other in physics, and all other units are defined relative to the fundamental units.
https://en.wikipedia.org/wiki/SI_base_unit
Even the Cesium time standard is defined relative to electric fields which are defined by time and distance and charges, and charges are defined by energy defined by force defined by time and distance and more....
But isn't the measurement of the speed of light our own proportion derived from the constant that is 1g of water at 1ATM?