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Hypnosifl
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I think it should be possible to modify this so that if you look at the person in the cloaksuit directly they are visible, but they will appear invisible in mirrors. My idea here is just that the image-processing software interpreting the data from the emitterssensors can distinguish human eyes, and once the suit has identified all the human eyes in its surroundings, it can selectively instruct all emitters not to send masking rays in the direction of any human eyes. You may also want to have the software be able to distinguish camera lenses if you want the vampire to be visible on camera, and also be able to distinguish the eyes of various kinds of non-human animals along with humans (although you might not want to do this if you want these technological vampires to creep out animals because they can hear and smell them but not see them).

The only problem with this is that if the software sees someone's eyes in a reflective surface like a mirror, and interprets that as another set of eyes, then if it fails to send the masking rays in the direction of the reflected eyes, the person will be able to see them in a mirror. But with sufficiently sensitive sensors and smart software it may be possible to differentiate reflections of eyes from regular eyes which lie directly in the line of sight of the suit, since any real-world reflective surface is going to have some combination of specular and diffuse reflection (also, the software could be continually trying to build a model of the environment based on sensory information, so it could notice when the image on a surface seems to be a duplicate of some mapped region of the environment in the opposite direction). 

Also, note there would be one side effect of this technology which isn't usually part of modern vampire lore (though it was apparently a feature in some older vampire myths): besides having no visible reflection, the vampire will also cast no shadows. Although I suppose if you want to avoid this, if the software can distinguish eyes in mirrors and other reflective surfaces from regular eyes directly in the line of sight, it could be designed to only send the masking signal in the direction of reflections of eyes, and then it would have a normal shadow. But this would have the disadvantage that if the system failed to notice a pair of reflected eyes because the reflection was far away, distorted, and more diffuse than specular (say, a faint reflection on a dull metallic teapot) then a person near the reflected surface could notice the vampire, whereas sending the masking signal everywhere except non-reflected eyes would avoid this error.

This option has the drawback that it requires the vampires to not only have this sort of detector/emitter system lining every surface of their body, but also to have it lining the surface of whatever clothing they wear. But if you imagine the vampiric "infection" was created by some civilization with advanced technology in the past (perhaps native to Earth of that time, or perhaps involving aliens or time travelers), it could involve a swarm of nanobots that envelop each new vampire, and it could be smart enough to form an envelope that extends to clothing as well as the vampire's body, with the nanobots forming tiny light detectorssensors and emitters on the surface of both. Such nanobots could perform other plot-relevant functions like repairing damage to the body (aside from stakes to the heart and beheadings), preventing decay and keeping neurons and muscles functional even if the cells are not really alive, distinguishing sunlight from other forms of light and causing an explosive reaction when sunlight is detected, etc.

If you let the tiny robot swarm get very advanced, perhaps involving femtotechnology rather than nanotechnology andor perhaps some particles unknown to current physics, there could also be an alternate solution that doesn't involve selectively detecting nearby eyeballs. Imagine the tiny machines absorb all incoming light, but the machines are designed to mimic the optical properties of the bit of the vampire's body or clothing directly underneath them, sending out light-like signals that match whatever light the bit of body/clothing underneath would emit under the same lighting conditions. However, instead of the emitted signals actually being light, imagine the signal is itself a subatomic-scale machine, or perhaps an exotic particle unknown to current physics, sent out on the same path the light ray would have taken (if you want to bring exotic particles in, I suppose you could ditch the idea of tiny machines and imagine the vampire's body is surrounded with some kind of field which is also unknown to current physics, which has the property that any photon exiting the boundary of the field is transformed into an exotic particle with the same momentum and energy).

But assume the M/EP behaves differently than a photon would when it encounters to some bit of matter that would reflect a photon--at this point the M/EP will just get absorbed or otherwise destroyed by that bit of matter, rather than travel on a reflected path (if it's a tiny machine it could just break up at that point). This will ensure that no M/EP can take a path that goes from the vampire to a reflective surface and then to a human retina (or camera lens or animal retina). Finally, if the M/EP encounters a bit of matter that has some probability $P_1$ of reflecting a photon, like a piece of glass which reflects some incoming light but lets the rest pass through, then the M/EP particle should have the same probability $P_1$ of being destroyed/absorbed, and otherwise will interact with this bit of matter the same way a photon would. This ensures that even though a person's eyeball is partially reflective, the photosensitive molecules in the retina will be imparted with the same energy/momentum by the M/EPs as they would get from photons if the vampire wasn't surrounded by this advanced technology and was just emitting light normally. But even if you were standing right next to a vampire and looking closely into the eyes of another person standing across from both of you, with this technology you wouldn't see the vampire reflected in the person's eyes (this wouldn't work with the more realistic invisibility cloaksuit technology I discussed earlierin option 1). Also, with this method the vampire will cast a shadow normally, and the shadow will even extend over reflective surfaces like water even though the reflection itself will be absent.

I think it should be possible to modify this so that if you look at the person in the cloak directly they are visible, but they will appear invisible in mirrors. My idea here is just that the image-processing software interpreting the data from the emitters can distinguish human eyes, and once the suit has identified all the human eyes in its surroundings, it can selectively instruct all emitters not to send masking rays in the direction of any human eyes. You may also want to have the software be able to distinguish camera lenses if you want the vampire to be visible on camera, and also be able to distinguish the eyes of various kinds of non-human animals along with humans (although you might not want to do this if you want these technological vampires to creep out animals because they can hear and smell them but not see them).

The only problem with this is that if the software sees someone's eyes in a reflective surface like a mirror, and interprets that as another set of eyes, then if it fails to send the masking rays in the direction of the reflected eyes, the person will be able to see them in a mirror. But with sufficiently sensitive sensors and smart software it may be possible to differentiate reflections of eyes from regular eyes which lie directly in the line of sight of the suit, since any real-world reflective surface is going to have some combination of specular and diffuse reflection. Also, note there would be one side effect of this technology which isn't usually part of modern vampire lore (though it was apparently a feature in some older vampire myths): besides having no visible reflection, the vampire will also cast no shadows. Although I suppose if you want to avoid this, if the software can distinguish eyes in mirrors and other reflective surfaces from regular eyes directly in the line of sight, it could be designed to only send the masking signal in the direction of reflections of eyes, and then it would have a normal shadow. But this would have the disadvantage that if the system failed to notice a pair of reflected eyes because the reflection was far away, distorted, and more diffuse than specular (say, a faint reflection on a dull metallic teapot) then a person near the reflected surface could notice the vampire, whereas sending the masking signal everywhere except non-reflected eyes would avoid this error.

This option has the drawback that it requires the vampires to not only have this sort of detector/emitter system lining every surface of their body, but also to have it lining whatever clothing they wear. But if you imagine the vampiric "infection" was created by some civilization with advanced technology in the past (perhaps native to Earth of that time, or perhaps involving aliens or time travelers), it could involve a swarm of nanobots that envelop each new vampire, and it could be smart enough to form an envelope that extends to clothing as well as the vampire's body, with the nanobots forming tiny light detectors and emitters on the surface of both. Such nanobots could perform other plot-relevant functions like repairing damage to the body (aside from stakes to the heart and beheadings), preventing decay and keeping neurons and muscles functional even if the cells are not really alive, distinguishing sunlight from other forms of light and causing an explosive reaction when sunlight is detected, etc.

If you let the tiny robot swarm get very advanced, perhaps involving femtotechnology rather than nanotechnology and perhaps some particles unknown to current physics, there could also be an alternate solution that doesn't involve selectively detecting nearby eyeballs. Imagine the tiny machines absorb all incoming light, but the machines are designed to mimic the optical properties of the bit of the vampire's body or clothing directly underneath them, sending out light-like signals that match whatever light the bit of body/clothing underneath would emit under the same lighting conditions. However, instead of the emitted signals actually being light, imagine the signal is itself a subatomic-scale machine, or perhaps an exotic particle unknown to current physics, sent out on the same path the light ray would have taken (if you want to bring exotic particles in, I suppose you could ditch the idea of tiny machines and imagine the vampire's body is surrounded with some kind of field which is also unknown to current physics, which has the property that any photon exiting the boundary of the field is transformed into an exotic particle with the same momentum and energy).

But assume the M/EP behaves differently than a photon would when it encounters to some bit of matter that would reflect a photon--at this point the M/EP will just get absorbed or otherwise destroyed by that bit of matter, rather than travel on a reflected path (if it's a tiny machine it could just break up at that point). This will ensure that no M/EP can take a path that goes from the vampire to a reflective surface and then to a human retina (or camera lens or animal retina). Finally, if the M/EP encounters a bit of matter that has some probability $P_1$ of reflecting a photon, like a piece of glass which reflects some incoming light but lets the rest pass through, then the M/EP particle should have the same probability $P_1$ of being destroyed/absorbed, and otherwise will interact with this bit of matter the same way a photon would. This ensures that even though a person's eyeball is partially reflective, the photosensitive molecules in the retina will be imparted with the same energy/momentum by the M/EPs as they would get from photons if the vampire wasn't surrounded by this advanced technology and was just emitting light normally. But even if you were standing right next to a vampire and looking closely into the eyes of another person standing across from both of you, with this technology you wouldn't see the vampire reflected in the person's eyes (this wouldn't work with the more realistic invisibility cloak technology I discussed earlier). Also, with this method the vampire will cast a shadow normally, and the shadow will even extend over reflective surfaces like water even though the reflection itself will be absent.

I think it should be possible to modify this so that if you look at the person in the suit directly they are visible, but they will appear invisible in mirrors. My idea here is just that the image-processing software interpreting the data from the sensors can distinguish human eyes, and once the suit has identified all the human eyes in its surroundings, it can selectively instruct all emitters not to send masking rays in the direction of any human eyes. You may also want to have the software be able to distinguish camera lenses if you want the vampire to be visible on camera, and also be able to distinguish the eyes of various kinds of non-human animals along with humans (although you might not want to do this if you want these technological vampires to creep out animals because they can hear and smell them but not see them).

The only problem with this is that if the software sees someone's eyes in a reflective surface like a mirror, and interprets that as another set of eyes, then if it fails to send the masking rays in the direction of the reflected eyes, the person will be able to see them in a mirror. But with sufficiently sensitive sensors and smart software it may be possible to differentiate reflections of eyes from regular eyes which lie directly in the line of sight of the suit, since any real-world reflective surface is going to have some combination of specular and diffuse reflection (also, the software could be continually trying to build a model of the environment based on sensory information, so it could notice when the image on a surface seems to be a duplicate of some mapped region of the environment in the opposite direction). 

Also, note there would be one side effect of this technology which isn't usually part of modern vampire lore (though it was apparently a feature in some older vampire myths): besides having no visible reflection, the vampire will also cast no shadows. I suppose if you want to avoid this, if the software can distinguish eyes in mirrors and other reflective surfaces from regular eyes directly in the line of sight, it could be designed to only send the masking signal in the direction of reflections of eyes, and then it would have a normal shadow. But this would have the disadvantage that if the system failed to notice a pair of reflected eyes because the reflection was far away, distorted, and more diffuse than specular (say, a faint reflection on a dull metallic teapot) then a person near the reflected surface could notice the vampire, whereas sending the masking signal everywhere except non-reflected eyes would avoid this error.

This option has the drawback that it requires the vampires to not only have this sort of detector/emitter system lining every surface of their body, but also to have it lining the surface of whatever clothing they wear. But if you imagine the vampiric "infection" was created by some civilization with advanced technology in the past (perhaps native to Earth of that time, or perhaps involving aliens or time travelers), it could involve a swarm of nanobots that envelop each new vampire, and it could be smart enough to form an envelope that extends to clothing as well as the vampire's body, with the nanobots forming tiny light sensors and emitters on the surface of both. Such nanobots could perform other plot-relevant functions like repairing damage to the body (aside from stakes to the heart and beheadings), preventing decay and keeping neurons and muscles functional even if the cells are not really alive, distinguishing sunlight from other forms of light and causing an explosive reaction when sunlight is detected, etc.

If you let the tiny robot swarm get very advanced, perhaps involving femtotechnology rather than nanotechnology or perhaps some particles unknown to current physics, there could also be an alternate solution that doesn't involve selectively detecting nearby eyeballs. Imagine the tiny machines absorb all incoming light, but the machines are designed to mimic the optical properties of the bit of the vampire's body or clothing directly underneath them, sending out light-like signals that match whatever light the bit of body/clothing underneath would emit under the same lighting conditions. However, instead of the emitted signals actually being light, imagine the signal is itself a subatomic-scale machine, or perhaps an exotic particle unknown to current physics, sent out on the same path the light ray would have taken (if you want to bring exotic particles in, I suppose you could ditch the idea of tiny machines and imagine the vampire's body is surrounded with some kind of field which is also unknown to current physics, which has the property that any photon exiting the boundary of the field is transformed into an exotic particle with the same momentum and energy).

But assume the M/EP behaves differently than a photon would when it encounters to some bit of matter that would reflect a photon--at this point the M/EP will just get absorbed or otherwise destroyed by that bit of matter, rather than travel on a reflected path (if it's a tiny machine it could just break up at that point). This will ensure that no M/EP can take a path that goes from the vampire to a reflective surface and then to a human retina (or camera lens or animal retina). Finally, if the M/EP encounters a bit of matter that has some probability $P_1$ of reflecting a photon, like a piece of glass which reflects some incoming light but lets the rest pass through, then the M/EP particle should have the same probability $P_1$ of being destroyed/absorbed, and otherwise will interact with this bit of matter the same way a photon would. This ensures that even though a person's eyeball is partially reflective, the photosensitive molecules in the retina will be imparted with the same energy/momentum by the M/EPs as they would get from photons if the vampire wasn't surrounded by this advanced technology and was just emitting light normally. But even if you were standing right next to a vampire and looking closely into the eyes of another person standing across from both of you, with this technology you wouldn't see the vampire reflected in the person's eyes (this wouldn't work with the more realistic invisibility suit technology I discussed in option 1). Also, with this method the vampire will cast a shadow normally, and the shadow will even extend over reflective surfaces like water even though the reflection itself will be absent.

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Hypnosifl
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The only problem with this is that if the software sees someone's eyes in a reflective surface like a mirror, and interprets that as another set of eyes, then if it fails to send the masking rays in the direction of the reflected eyes, the person will be able to see them in a mirror. But with sufficiently sensitive sensors and smart software it may be possible to differentiate reflections of eyes from regular eyes which lie directly in the line of sight of the suit, since any real-world reflective surface is going to have some combination of specular and diffuse reflection. Also, note there would be one side effect of this technology which isn't usually part of modern vampire lore (though it was apparently a feature in some older vampire myths): besides having no visible reflection, the vampire will also cast no shadows. Although I suppose if you want to avoid this, if the software can distinguish eyes in mirrors and other reflective surfaces from regular eyes directly in the line of sight, it could be designed to only send the masking signal in the direction of reflections of eyes, and then it would have a normal shadow. But this would have the disadvantage that if the system failed to notice a pair of reflected eyes because the reflection was far away, distorted, and more diffuse than specular (say, a faint reflection on a dull metallic teapot) then a person near the reflected surface could notice the vampire, whereas sending the masking signal everywhere except non-reflected eyes would avoid this error.

The only problem with this is that if the software sees someone's eyes in a reflective surface like a mirror, and interprets that as another set of eyes, then if it fails to send the masking rays in the direction of the reflected eyes, the person will be able to see them in a mirror. But with sufficiently sensitive sensors and smart software it may be possible to differentiate reflections of eyes from regular eyes which lie directly in the line of sight of the suit, since any real-world reflective surface is going to have some combination of specular and diffuse reflection. Also, note there would be one side effect of this technology which isn't usually part of modern vampire lore (though it was apparently a feature in some older vampire myths): besides having no visible reflection, the vampire will also cast no shadows. Although I suppose if you want to avoid this, if the software can distinguish eyes in mirrors and other reflective surfaces from regular eyes directly in the line of sight, it could be designed to only send the masking signal in the direction of reflections of eyes, and then it would have a normal shadow.

The only problem with this is that if the software sees someone's eyes in a reflective surface like a mirror, and interprets that as another set of eyes, then if it fails to send the masking rays in the direction of the reflected eyes, the person will be able to see them in a mirror. But with sufficiently sensitive sensors and smart software it may be possible to differentiate reflections of eyes from regular eyes which lie directly in the line of sight of the suit, since any real-world reflective surface is going to have some combination of specular and diffuse reflection. Also, note there would be one side effect of this technology which isn't usually part of modern vampire lore (though it was apparently a feature in some older vampire myths): besides having no visible reflection, the vampire will also cast no shadows. Although I suppose if you want to avoid this, if the software can distinguish eyes in mirrors and other reflective surfaces from regular eyes directly in the line of sight, it could be designed to only send the masking signal in the direction of reflections of eyes, and then it would have a normal shadow. But this would have the disadvantage that if the system failed to notice a pair of reflected eyes because the reflection was far away, distorted, and more diffuse than specular (say, a faint reflection on a dull metallic teapot) then a person near the reflected surface could notice the vampire, whereas sending the masking signal everywhere except non-reflected eyes would avoid this error.

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Hypnosifl
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Of course, this second option is well in the realm of technology indistinguishable from magic, so if you're going to pick a solution of this kind, it might be simpler just to assume that our apparent physical world is a Matrix-style hyper-detailed simulation, and whatever beings are running the simulation have just programmed in special alterations to the laws of optics for light rays emitted or reflected by vampires (an option already mentioned in user100487's answer).

Of course, this second option is well in the realm of technology indistinguishable from magic, so if you're going to pick a solution of this kind, it might be simpler just to assume that our apparent physical world is a Matrix-style hyper-detailed simulation, and whatever beings are running the simulation have just programmed in special alterations to the laws of optics for light rays emitted or reflected by vampires.

Of course, this second option is well in the realm of technology indistinguishable from magic, so if you're going to pick a solution of this kind, it might be simpler just to assume that our apparent physical world is a Matrix-style hyper-detailed simulation, and whatever beings are running the simulation have just programmed in special alterations to the laws of optics for light rays emitted or reflected by vampires (an option already mentioned in user100487's answer).

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Hypnosifl
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