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sonnybilly
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Thought experiment: The 'perfect eye' (and a finite set of colours)
Introduction:
Human beings have trichromatic colour vision, our ability to distinguish different colours at different spectral frequencies, and wavelengths, of electromagnetic radiation, or combinations thereof, is enabled and limited by having three different colour receptors in our eyes. Red, green and blue receptors perceive light and allow us to distinguish colours through additive processes in an RGB colourspace.
Most mammals and people with colour blindness have dichromatic colour vision, limiting their ability to distinguish different colours at different spectral frequencies, and wavelengths, or combinations thereof, perceiving what trichomats see as different colours (i.e. red and green in protanopia) as one colour.
Birds have tetrachromatic colour vision, they have four different colour receptors, and are able to distinguish additional colours within the colours trichomats perceive, and to also see electromagnetic radiation from outside the range of what we consider the visual spectrum into the ultraviolet. There is new research suggesting that some woman may be tetrachromats.
With each additional colour receptor an eye has, the more colours it is able to distinguish from different frequencies/wavelengths of the electromagnetic spectrum, or combinations thereof, and additional receptors may also expand the range of the electromagnetic spectrum that is visually perceivable.
The thought experiment:
Is it possible to build a 'perfect eye' that is able to perceive not only the entirety of the electromagnetic spectrum, but is able to distinguish between every colour that exists, that is, it has a colour receptor for every spectral colour (or hue) that exists so that the addition of another colour receptor would not enable the eye to distinguish additional colours (or hues)? Could we create totalchromats?
I can envisage three approaches:
First Approach:
The first of which asks another interesting question:
Are there a finite or infinite set of possible colours?
For there to be a finite set of spectral colours (or hues) the electromagnetic spectrum would have to be discrete rather than continuous. That is, the difference between the frequency, or wavelength, of two different electromagnetic waves could not be infinitely small, otherwise additional colours could be created by simply adding a very small amount to the frequency, or length to the wavelength, necessitating an additional receptor for that frequency/wavelength to perceive an additional colour etc, ad infinitum. There would be an infinite set of colours needing an infinite number of receptors to build a 'perfect eye'.
Secondly there would have to be upper and lower limits on the electromagnetic spectrum. Even if the spectrum is discrete, a spectrum with infinitely large or small frequencies, or infinitely short or long wavelengths, would have an infinite set of colours and need an infinite number of receptors to build a 'perfect eye'.
Second Approach:
Regardless of whether the electromagnetic spectrum is discreet or continuous, and whether there is a finite set of theoretical colours, a second approach to the experiment is:
Are there inherent limits on the ability of a colour receptor to distinguish between different wavelengths and hence different colours (or hues)? If the spectral sensitivity of a colour receptor is unable to distinguish between different frequencies with infinite precision, then this uncertainty of the colour receptor has the practical effect of making the electromagnetic spectrum (as it is perceived) discreet, creating a finite set of perceivable colours (if there are upper and lower limits on the EM spectrum), and allowing us build a 'perfect eye' with a finite set of colour receptors.
Third Approach:
A third approach is the practical one, how could a 'perfect or almost perfect eye' be built? What real world limits to a 'perfect or almost perfect eye' are there? How many colours could be practically distingushed? How much of the electromagnetic spectrum could be seen? What would be needed to process the image? How would the image be processed? What would the colourspace look like? Would the phenomenon of dominant wavelength limit the practical number of colours seen?
A 'more perfect eye'
The concept of a 'perfect eye' also goes beyond colour recognition and into other ideas like:
How else could an eye be perfect beyond distinguishing colours? What about perception of forces other than electromagnetic radiation? Could other forces have colours that a 'more perfect eye' could see and distinguish? Could it combine them with EMR or other 'force colours' to make a 'more perfect image'?
Last thoughts:
One additional question needs to be asked of the experiment no matter the approach. Even if there were a finite set of spectral colours (or hues) or colours (or hues) perceivable by colour receptors, would there be a finite or infinite set of additive colours in a 'perfect colour space'? Would there be a limit on the amount of colours that are able to be distinguished in the 'perfect brain' that processes the 'perfect eyes' image?
Your thoughts please!...
Introduction:
Human beings have trichromatic colour vision, our ability to distinguish different colours at different spectral frequencies, and wavelengths, of electromagnetic radiation, or combinations thereof, is enabled and limited by having three different colour receptors in our eyes. Red, green and blue receptors perceive light and allow us to distinguish colours through additive processes in an RGB colourspace.
Most mammals and people with colour blindness have dichromatic colour vision, limiting their ability to distinguish different colours at different spectral frequencies, and wavelengths, or combinations thereof, perceiving what trichomats see as different colours (i.e. red and green in protanopia) as one colour.
Birds have tetrachromatic colour vision, they have four different colour receptors, and are able to distinguish additional colours within the colours trichomats perceive, and to also see electromagnetic radiation from outside the range of what we consider the visual spectrum into the ultraviolet. There is new research suggesting that some woman may be tetrachromats.
With each additional colour receptor an eye has, the more colours it is able to distinguish from different frequencies/wavelengths of the electromagnetic spectrum, or combinations thereof, and additional receptors may also expand the range of the electromagnetic spectrum that is visually perceivable.
The thought experiment:
Is it possible to build a 'perfect eye' that is able to perceive not only the entirety of the electromagnetic spectrum, but is able to distinguish between every colour that exists, that is, it has a colour receptor for every spectral colour (or hue) that exists so that the addition of another colour receptor would not enable the eye to distinguish additional colours (or hues)? Could we create totalchromats?
I can envisage three approaches:
First Approach:
The first of which asks another interesting question:
Are there a finite or infinite set of possible colours?
For there to be a finite set of spectral colours (or hues) the electromagnetic spectrum would have to be discrete rather than continuous. That is, the difference between the frequency, or wavelength, of two different electromagnetic waves could not be infinitely small, otherwise additional colours could be created by simply adding a very small amount to the frequency, or length to the wavelength, necessitating an additional receptor for that frequency/wavelength to perceive an additional colour etc, ad infinitum. There would be an infinite set of colours needing an infinite number of receptors to build a 'perfect eye'.
Secondly there would have to be upper and lower limits on the electromagnetic spectrum. Even if the spectrum is discrete, a spectrum with infinitely large or small frequencies, or infinitely short or long wavelengths, would have an infinite set of colours and need an infinite number of receptors to build a 'perfect eye'.
Second Approach:
Regardless of whether the electromagnetic spectrum is discreet or continuous, and whether there is a finite set of theoretical colours, a second approach to the experiment is:
Are there inherent limits on the ability of a colour receptor to distinguish between different wavelengths and hence different colours (or hues)? If the spectral sensitivity of a colour receptor is unable to distinguish between different frequencies with infinite precision, then this uncertainty of the colour receptor has the practical effect of making the electromagnetic spectrum (as it is perceived) discreet, creating a finite set of perceivable colours (if there are upper and lower limits on the EM spectrum), and allowing us build a 'perfect eye' with a finite set of colour receptors.
Third Approach:
A third approach is the practical one, how could a 'perfect or almost perfect eye' be built? What real world limits to a 'perfect or almost perfect eye' are there? How many colours could be practically distingushed? How much of the electromagnetic spectrum could be seen? What would be needed to process the image? How would the image be processed? What would the colourspace look like? Would the phenomenon of dominant wavelength limit the practical number of colours seen?
A 'more perfect eye'
The concept of a 'perfect eye' also goes beyond colour recognition and into other ideas like:
How else could an eye be perfect beyond distinguishing colours? What about perception of forces other than electromagnetic radiation? Could other forces have colours that a 'more perfect eye' could see and distinguish? Could it combine them with EMR or other 'force colours' to make a 'more perfect image'?
Last thoughts:
One additional question needs to be asked of the experiment no matter the approach. Even if there were a finite set of spectral colours (or hues) or colours (or hues) perceivable by colour receptors, would there be a finite or infinite set of additive colours in a 'perfect colour space'? Would there be a limit on the amount of colours that are able to be distinguished in the 'perfect brain' that processes the 'perfect eyes' image?
Your thoughts please!...