The discussion revolves around the conceptual understanding of squaring numbers in relation to light, particularly focusing on whether light or its properties, such as speed and wavelength, can be squared. Participants explore this question from various angles, including mathematical reasoning and physical properties of light.
Participants generally agree that while light itself cannot be squared, its properties can be quantified and squared. However, there remains some confusion and differing interpretations regarding the implications of squaring these properties, particularly in relation to the light spectrum.
Some participants express uncertainty about the definitions and implications of squaring light-related quantities, indicating a need for clearer articulation of concepts. The discussion also touches on the dimensional consistency of mathematical operations involving physical quantities.
Not sure what you mean by "can light be squared". Perhaps you mean the speed of light, which is a constant. Can a speed be squared? Sure. Squared speeds, even the speed of light squared, appear in many useful formulas.Skincognito said:If any quantifiable number can be squared, does this mean light can also be squared
It’s probab a crazy question but I was referring more to visible light spectrum and different wavelengths. To be honest I’m not even sure how to properly articulate the question so it may not even be something that can be answered but I am trying to gain an understanding of how the light spectrum differs in regard to speed vs distance. I would assume you can also square distance as well?Doc Al said:Not sure what you mean by "can light be squared". Perhaps you mean the speed of light, which is a constant. Can a speed be squared? Sure. Squared speeds, even the speed of light squared, appear in many useful formulas.
The various colors of the spectrum have different wavelengths and frequencies, but the same speed (at least in a vacuum).Skincognito said:how the light spectrum differs in regard to speed vs distance
Sure, why not.Skincognito said:I would assume you can also square distance as well?
Thank you! I think this answers :)Doc Al said:The various colors of the spectrum have different wavelengths and frequencies, but the same speed (at least in a vacuum).Sure, why not.
Skincognito said:I read the forum about light being a constant but there was no definitive answer
Yes, that's how we measure areas. A square plot of land 100 meters on a side has an area of (100 meters) squared, or 10000 square meters (also called one hectare).Skincognito said:I would assume you can also square distance as well?
Light isn’t a number. So light cannot be squared. The wavelength of light, the speed of light, the frequency of light, the intensity of light, the energy of light, etc are all numbers (with corresponding units). They can all be squared.Skincognito said:I was referring more to visible light spectrum and different wavelengths.
Quantities are often 'squared' (also cubed and taken to various other powers) in mathematical formulae. However, within mathematical processes (jiggery pokery), the actual meaning of the intermediate symbols is not worth trying to suss out. What you put in and what you get out is (should be) valid and the input and outputs should match dimensionally but you can let Maths do the internal work and accept that the Mathematicians got it right. Scientists and Engineers tend to treat many mathematical procedures they use as black boxes. Life's too short unless you really want to get into the Maths - then there's no time left for the Science.Dale said:Light isn’t a number. So light cannot be squared. The wavelength of light, the speed of light, the frequency of light, the intensity of light, the energy of light, etc are all numbers (with corresponding units). They can all be squared.
There is no such thing as a crazy (or dumb) question. In physics there are often "crazy" (difficult to understand) answers. I agree with the answers so far. Since you asked about spectrum in regard to speed vs distance, I will tell you that light color (spectrum) shifts toward the red as objects giving off light that are far away in the universe travel away from us at speeds approaching the speed of light.Skincognito said:It’s probab a crazy question but I was referring more to visible light spectrum and different wavelengths. To be honest I’m not even sure how to properly articulate the question so it may not even be something that can be answered but I am trying to gain an understanding of how the light spectrum differs in regard to speed vs distance. I would assume you can also square distance as well?