… “… Is given, but simply the order that each man must march or run as fast as he can. … i have tried to explain to you in the simplest possible manner the fundamental concept on which this … according to the traditional idea , in each concrete case one of these paths is singled out as the …”
Schrödinger, E.. (1992). What is life?: The physical aspect of the living cell ; with Mind and matter ; \& Autobiographical sketches. Mind and Matter
“Nobel laureate erwin schrãdinger’s what is life? is one of the great science classics of the twentieth century. a distinguished physicist’s exploration of the question which lies at the heart of biology, it was written for the layman, but proved one of the spurs to the birth of molecular biology and the subsequent discovery of the structure of dna. the philosopher karl popper hailed it as a ‘beautiful and important book’ by ‘a great man to whom i owe a personal debt for many exciting discussions’. it appears here together with mind and matter, his essay investigating a relationship which has eluded and puzzled philosophers since the earliest times. schrodinger asks what place consciousness occupies in the evolution of life, and what part the state of development of the human mind plays in moral questions. brought together with these two classics are schrãdinger’s autobiographical sketches, published and translated here for the first time. they offer a fascinating fragmentary account of his life as a background to his scientific writings, making this volume a valuable additon to the shelves of scientist and layman alike.”
Schrödinger, E.. (1926). Über das Verhältnis der Heisenberg‐Born‐Jordanschen Quantenmechanik zu der meinem. Annalen Der Physik
“This translation was originally published in proceedings of the american philosophical society, 124, 323-38. [and then appeared as section i.11 of part i ofquantum theory and measurement (j.a. wheeler and w.h. zurek, eds., princeton university press, new jersey 1983).]”
Schrödinger, E.. (1935). The Present Situation in Quantum Mechanics: A Translation of Schrödinger’s “Cat Paradox Paper” (translation of Schrödinger, 1935). Die Naturwissenschaften
Show/hide publication abstract
“This translation was originally published in proceedings of the american philosophical society, 124, 323-38. [and then appeared as section i.11 of part i ofquantum theory and measurement (j.a. wheeler and w.h. zurek, eds., princeton university press, new jersey 1983).]”
Schrödinger, E.. (1917). Dynamik der Kristallgitter. Monatshefte Für Mathematik Und Physik
Dronamraju, K. R.. (1999). Erwin Schrodinger and the origins of molecular biology. Genetics
Show/hide publication abstract
“A possible cerebroprotective effect of halothane was investigated in a canine model of 5-min global cerebral ischemia. in pentobarbital-anesthetized dogs, additional inhalation of 0.5 to 1{%} halothane prior to ischemia prevented the post-ischemic dysfunction of the vagal component of reflex bradycardia. in contrast, pretreatment with thiopental at 10 mg/kg, i.v. failed to prevent it. the influence of ischemia in the absence of anesthetics was similar to that under barbiturate anesthesia. the results suggest that halothane, but not barbiturate, may actively protect the vagal baroreflex system from ischemia.”
Schrödinger, E., & Penrose, R.. (2014). Nature and the Greeks and science and humanism. Nature and the Greeks and Science and Humanism
“Nobel laureate erwin schrödinger was one of the most distinguished scientists and philosophers of the twentieth century, and his lectures are legendary. here the texts of two of schrödinger’s most famous lecture series are made available again. in the first, entitled ‘nature and the greeks,’ schrödinger offers a historical account of the scientific world picture. in the second, called ‘science and humanism,’ he addresses fundamental questions about the link between scientific and spiritual matters. as roger penrose confirms, these are the profound thoughts of a great mind, and as relevant today as when they were first published in the 1950s.”
… “… Is given, but simply the order that each man must march or run as fast as he can. … i have tried to explain to you in the simplest possible manner the fundamental concept on which this … according to the traditional idea , in each concrete case one of these paths is singled out as the …”
Schrödinger, E.. (1992). What is life?: The physical aspect of the living cell ; with Mind and matter ; \& Autobiographical sketches. Mind and Matter
“Nobel laureate erwin schrãdinger’s what is life? is one of the great science classics of the twentieth century. a distinguished physicist’s exploration of the question which lies at the heart of biology, it was written for the layman, but proved one of the spurs to the birth of molecular biology and the subsequent discovery of the structure of dna. the philosopher karl popper hailed it as a ‘beautiful and important book’ by ‘a great man to whom i owe a personal debt for many exciting discussions’. it appears here together with mind and matter, his essay investigating a relationship which has eluded and puzzled philosophers since the earliest times. schrodinger asks what place consciousness occupies in the evolution of life, and what part the state of development of the human mind plays in moral questions. brought together with these two classics are schrãdinger’s autobiographical sketches, published and translated here for the first time. they offer a fascinating fragmentary account of his life as a background to his scientific writings, making this volume a valuable additon to the shelves of scientist and layman alike.”
Schrödinger, E.. (1926). Über das Verhältnis der Heisenberg‐Born‐Jordanschen Quantenmechanik zu der meinem. Annalen Der Physik
“This translation was originally published in proceedings of the american philosophical society, 124, 323-38. [and then appeared as section i.11 of part i ofquantum theory and measurement (j.a. wheeler and w.h. zurek, eds., princeton university press, new jersey 1983).]”
Schrödinger, E.. (1935). The Present Situation in Quantum Mechanics: A Translation of Schrödinger’s “Cat Paradox Paper” (translation of Schrödinger, 1935). Die Naturwissenschaften
Show/hide publication abstract
“This translation was originally published in proceedings of the american philosophical society, 124, 323-38. [and then appeared as section i.11 of part i ofquantum theory and measurement (j.a. wheeler and w.h. zurek, eds., princeton university press, new jersey 1983).]”
Schrödinger, E.. (1917). Dynamik der Kristallgitter. Monatshefte Für Mathematik Und Physik
Dronamraju, K. R.. (1999). Erwin Schrodinger and the origins of molecular biology. Genetics
Show/hide publication abstract
“A possible cerebroprotective effect of halothane was investigated in a canine model of 5-min global cerebral ischemia. in pentobarbital-anesthetized dogs, additional inhalation of 0.5 to 1{%} halothane prior to ischemia prevented the post-ischemic dysfunction of the vagal component of reflex bradycardia. in contrast, pretreatment with thiopental at 10 mg/kg, i.v. failed to prevent it. the influence of ischemia in the absence of anesthetics was similar to that under barbiturate anesthesia. the results suggest that halothane, but not barbiturate, may actively protect the vagal baroreflex system from ischemia.”
Schrödinger, E., & Penrose, R.. (2014). Nature and the Greeks and science and humanism. Nature and the Greeks and Science and Humanism
“Nobel laureate erwin schrödinger was one of the most distinguished scientists and philosophers of the twentieth century, and his lectures are legendary. here the texts of two of schrödinger’s most famous lecture series are made available again. in the first, entitled ‘nature and the greeks,’ schrödinger offers a historical account of the scientific world picture. in the second, called ‘science and humanism,’ he addresses fundamental questions about the link between scientific and spiritual matters. as roger penrose confirms, these are the profound thoughts of a great mind, and as relevant today as when they were first published in the 1950s.”
“Esse est percipi (aut percipere).” To be is to be perceived (or to perceive).
~ Bishop Berkeley (*1685; †1753)
“No phenomenon is a real phenomenon until it is an observed phenomenon.”
~ John Archibald Wheeler (*1911; †2008), Cf. “It from bit”
A quantum cognition perspective on the Necker cube (lecture by Dr. Christopher Germann @ CogNovo – University of Plymouth, 2016)
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About this website www.Qbism.art is an interdisciplinary web-project that synthesises a plurality of perspectives from cognitive psychology, neuroscience, quantum physics, philosophy, computer science, and digital art into a holistic transdisciplinary Gestalt. You can view a series of animated digital Qbism artworks below (the neologism ‘Qbism’ is a composite lexeme composed of ‘Quantum & Cubism’).
Digital Algorithmic Qbism Artworks Getting creative with the Necker cube: Thinking outside the box! (Programmatically implemented using HTML5 canvas, CSS3 & JavaScript)
Display exemplary source code of a digital Necker cube artwork
The German “Naturphilosoph” Friedrich Wilhelm Joseph von Schelling (1775—1854) stated that art is “the eternal organ and document of philosophy” which arises from an “unconscious infinity” – a synthesis between nature and freedom. His “aesthetic idealism” (System of Transcendental Idealism; 1800) was highly influential for German idealism (see: https://cognovo.net/cms/cognovo-art).
The philosopher and art historian Marshall McLuhan interpreted Cubism in the context of his conclusion that “the medium is the message“. For McLuhan, the perception of Cubist art required an “instant sensory awareness of the whole” (as opposed to perspective alone). That is, the necessary holistic interpretation of Cubist art does not allow for the question “what is the artwork about” (i.e., semantic content). Cubist art has to be perceived in its entirety (i.e., holistically).
“It is a compelling idea that an image as simple as a necker cube, or a duck-rabbit illusion, can reveal something about a person’s creativity. surprisingly, there are now multiple examples showing that people who are better at discovering ‘hidden’ images in a picture, are also better at solving some creative problems. although this idea goes back at least a century, little is known about how these two tasks—that seem so different on the surface—are related to each other. at least some forms of creativity (and indeed scientific discoveries) may require that we change our perspectives in order to discover a novel solution to a problem. it’s possible that such problems involve a similar cognitive process, and perhaps the same cognitive capacities, as switching perspectives in an ambiguous image. we begin by replicating previous work, and also show metacognitive similarities between the sudden appearance of hidden images in consciousness, and the sudden appearance of solutions to verbal insight problems. we then show that simply observing a necker cube can improve subsequent creative problem-solving and lead to more self-reported insights. we speculate that these results may in part be explained by conflict monitoring theory.”
Quantum physics is characterized by its paradoxical logic. Two crucial concepts in quantum logic are the interrelated concepts of complementary and superposition. These peculiar properties can can be visually illustrated by the Necker cube because two incompatible visual interpretations are in a superpositional state and they exhibit the property of complementarity. Observation plays a crucial rôle in this context as the ambiguous superpostional state collapses into an “eigenstate” (a fixed state) when it is observed. In this context Einstein famously asked the question if the moon exists when nobody looks at it – a profound question which highlights the importance of perception, observation, and measurement in physics:
We often discussed his notions on objective reality. I recall that during one walk Einstein suddenly stopped, turned to me and asked whether I really believed that the moon exists only when I look at it. The rest of this walk was devoted to a discussion of what a physicist should mean by the term “to exist”.
Associated reference (Pais, 1979; p. 907)
Einstein opposed the stochastic and indeterminate nature of quantum theory. He added the following quasi-Newtonian remark to his initial question in relation to the observer (in)dependence of existence:
“Is till believe in the possibility of giving a model of reality which shall represent events themselves and not merely the probability of their occurrence.”
“We review here the main contributions of einstein to the quantum theory. to put them in perspective we first give an account of physics as it was before him. it is followed by a brief account of the problem of black body radiation which provided the context for planck to introduce the idea of quantum. einstein’s revolutionary paper of 1905 on light-quantum hypothesis is then described as well as an application of this idea to the photoelectric effect. we next take up a discussion of einstein’s other contributions to old quantum theory. these include (i) his theory of specific heat of solids, which was the first application of quantum theory to matter, (ii) his discovery of wave-particle duality for light and (iii) einstein’s a and b coefficients relating to the probabilities of emission and absorption of light by atomic systems and his discovery of radiation stimulated emission of light which provides the basis for laser action. we then describe einstein’s contribution to quantum statistics viz bose-einstein statistics and his prediction of bose-einstein condensation of a boson gas. einstein played a pivotal role in the discovery of quantum mechanics and this is briefly mentioned. after 1925 einstein’s contributed mainly to the foundations of quantum mechanics. we choose to discuss here (i) his ensemble (or statistical) interpretation of quantum mechanics and (ii) the discovery of einstein-podolsky-rosen (epr) correlations and the epr theorem on the conflict between einstein-locality and the completeness of the formalism of quantum mechanics. we end with some comments on later developments.”
See also:
Mermin, N. D.. (1985). Is the Moon There When Nobody Looks? Reality and the Quantum Theory. Physics Today, 38(4), 38–47.
“In may 1935, albert einstein, boris podolsky and nathan rosen published an argument that quantum mechanics fails to provide a complete description of physical reality. today, 50 years later, the epr paper and the theoretical and experimental work it inspired remain remarkable for the vivid illustration they provide of one of the most bizarre aspects of the world revealed to us by the quantum theory. einstein maintained that quantum metaphysics entails spooky actions at a distance; experiments have now shown that what bothered einstein is not a debatable point but the observed behavior of the real world.”
Einstein made a similar statement about the nature of perception and the relation between subject and object (i.e., mind & matter; knower & know; seer & seen; psyche & physis) in a discussion with the Indian polymath Ravīndranātha Ṭhākura (Tagore) which took place in his house near Berlin in 1930:
“If nobody were in the house the table would exist all the same, but this is already illegitimate from your point of view, because we cannot explain what it means, that the table is there, independently of us.”
Interestingly, the same fundamental question concerning the nature of “external reality” can be asked with respect to the perception of the Necker cube: What is the position of the Necker cube when it is not observed?
That is, what is its configuration in an unobserved state?
The nature of the seer and the seen (Sanskrit: Dṛg-Dṛśya) has been discussed since ancient times in Indian philosophy, for instance in the highly psychological text Dṛg-Dṛśya-Viveka attributed to Bâratī Tīrtha (ca. 1350 ce). Numerous famous quantum physicist (e.g., Schrödinger, Bohr, Oppenheimer, etc.) were deeply impressed by the logic of ancient Indian scholars.
Quantum physics thus revives timeless questions concerning the nature of perception and observation and it provides impetus for important questions which are relevant far beyond the domain of subatomic phenomena. It forces us to consider epistemological/ontological questions whose answers are usually uncritically taken for granted. Quantum physics shows that we are not merely passive observers of an a priori existing reality. The exact nature of this relation is a matter of an ongoing scientific debate and it is a question of great pertinence for psychology, specifically for the domain of psychophysics which focuses on sensation and perception.
“In atomic science, so removed from ordinary experience, we have received a lesson which points far beyond the domain of physics.”
In conclusion: The nature of reality is still a mystery to science, despite the significant progress which has been made in many disciplines. Intellectual humility is thus a real scientific virtue (as has already been pointed out by the ancient Greek philosophers). The fundamental questions concerning the relationship between mind and matter (i.e., psyche & physis) are not “only” of philosophical importance but they provide important impetus for the development of novel testable hypotheses and theories. The history of science has taught us an important lesson: Great discoveries are often made without the intention to develop new technologies or products. Innovative inventions are oftentimes the unpredictable byproduct of scientific inquiry into novel areas of exploration. Intrinsic curiosity is thus crucial for cognitive innovation and scientific discoveries.
According to Dirac:
“The superposition that occurs in quantum mechanics is of an essentially different nature from any occurring in the classical theory.”
Dirac, P.A.M. (1958). The Principles of Quantum Mechanics, 4th edition, Oxford University Press, Oxford UK, p. 14.
The quantum state of a given physical system is described by a wave function (an element of a projective Hilbert space).
This can be symbolically expressed in Dirac or bra–ket notation as a vector:
The mathematical concept of a Hilbert space (eponymously named after David Hilbert) formalizes he notion of multidimensional space, i.e., space with an infinite number of dimensions. Particularly interesting from psychological/epistemological point of view because human beings experience their cognitive limitations when they try to visualize multidimensional space (that is, beyond 3-dimenisonal Euclidean space). The concept of Hilbert space thus requires us to literally think outside the 3-dimensional box — beyond the ordinary limitation of experiential space-time geometry.
Dynamic Qbism Mind-Map
Physics is to be regarded not so much as the study of something a priori given, but rather as the development of methods of ordering and surveying human experience. In this respect our task must be to account for such experience in a manner independent of individual subjective judgement and therefore objective in the sense that it can be unambiguously communicated in ordinary human language.
Nils Bohr (1960) “The Unity of Human Knowledge”
The problem of a world constitution that takes no account of the mental apparatus by which we perceive it is an empty abstraction…
~ Sigmund Freud (1927) “The Future of an Illusion”