An Extension of Cherenkov Phenomena in Experimental Anthropology ( prototype of poster for Oxford Symp Quant Mat 18.04.2012 )
The eyes of primates and humans contain extraordinary retinal quantum-like detectors. As is known, the retina photoreceptors come in two types : rods (which are sensitive to low light and represent most receptors in retina ) and the red, green and blue cone cells which require higher levels of light but respond more rapidly and can discriminate colors with maxima at 419 nm ( blue cones ), 531 nm ( green cones) and 559 nm ( red cones ) respectively . Historically, the first systematic experiments on the sensibility of the human retina detectors to weak optical signals were conducted in the 1940s. .In particularly, Vavilov-Cherenkov experiments in Moscow  led to the conclusion that human rods and blue cones cells can detect a very small number of photons in observations of the special kind of radiation emitted by a charged particle moving superluminally (faster than speed of light , v > c/n ) in a medium. Today the Cherenkov quantum phenomena ( “Cherenkov radiation “) became fundamental heuristic for contemporary experimental physics, particle physics, space sciences, astronomy and physics of quantum materials . Fundamental result of Cherenkov’s quantum anthropology can also suggest the possibility to demonstrate some quantum phenomena (including such puzzling effect as quantum entanglement) with advanced human eye as biological detector. 
Let us consider, hence, conceptual relativistic context of the Cherenkov radiation. As is known, in Relativity theory there is 4-space-time out there. Cherenkov radiation manifest itself by producing some correlations between two classical events (i.e. between N particles emitted by the source A moving inertially with velocity greater than c through a medium of refraction index n, and, rod - and -blue retina detection, or B ). When particle moves faster than c speed of light, or speaking exactly, when it moves fast enough such that Ginzburg-Frank condition nv >1 is met , then it can either emit or absorb photons provided they lie on the conical surface cos θ° = 1/nv. In that case, human eye is able to detect superluminally moving light (Cherenkov radiation), typically less than 10 photons during an integration time of about 300ms. Thus, mathematically, A and B (two space-time locations ) must do something like communicating of the quantum information. However, in current physical literature such sort of conjecture on existence of superluminally moving signal ( communication ) in Cherenkov experiments with human eye is traditionally neglected. . Usually theorists suggest that superluminal signals must contradict physical causality and Special Relativity postulate in general.
Nevertheless, some arguments in defense of an existence of superluminal signals and communications could be found in earlier calculations by Summerfield (1904) and Tamm-Frank in 1930s (in their famous letter to Summerfield ). Following Tamm-Frank, statement that uniformly moving charged particle cannot radiate, whereas merely superluminally moving charged particle can radiate could be defined as a general principle of physics.
Tamm-Frank’ calculations for Cherenkov signal or q charged particle with velocity greater than c through a medium of refraction index n(w) showed that signal intensiveness is
∂W/∂t = qv/c ∫( 1 - c/n(w)v ) w∂w.
Thus, by introducing a symbol 1 to mean “yes” (corresponding to a successful detection in the case of superluminally moving charged particle) and “no” or 0 for a non-detection in the case of uniformly moving charged particle, we can perform a kind of quantum communication, taking seriously.
In order to test our conjecture in new Cherenkov-like anthropological experiments with human eye as advanced quantum detector (used threshold meanings of rod-blue isomerization of the retinal chromophore of photopigments from the 11-cis to the all-trans configuration) we try to develop a toy model for experiments with biological detectors that captures basic definitions of an extension of Cherenkov phenomena in experimental anthropology .
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