Quantum Mathematics of Love
Is it possible to see emptiness? Hear silence? Measure infinity?
When we talk about abstract concepts, we usually mean something that cannot be sensed, felt. However, where does our idea of what such a concept means come from?
Dirac writes that the concepts of quantum mechanics are learned in the same way as basic concepts such as “identity” are learned at the very beginning of life. [1] How do children learn that a cat in any pose, any color, and with any length of fur is still a cat, not a dog? After all, they don’t even know the words “cat” and “dog”.
Khrustov writes about proto-concepts that animals use. For example, a chimpanzee, when it bites off a thin splinter with its teeth so that it can be pushed into a pipe and a fruit can be pushed out. [2] Or capuchin monkeys, which crack nuts with stones specially selected by weight and to fit the palm of their hand. [3] Khrustov’s proto-concepts, as I now understand, are not thoughts, but feelings. We can learn to feel emptiness, silence, infinity, although we have never physically sensed them. After all, these concepts, like the identity that Dirac writes about, cannot be derived from physical sensations. If a person simply learned them, but did not feel them, then they will be meaningless for him, although he will be able to use them without understanding.
For me, Dirac’s comparison of mastering quantum mechanics with a child’s mastering basic proto-concepts is another, albeit indirect, confirmation that quantum mechanics models the evolution of knowledge at the level of feelings, which are more fundamental than thoughts expressed in images or symbols.
Khrustov’s proto-concepts are the archetypes of Kepler and Jung. [4] That is why archetypes interested Pauli so much. He saw the same thing in quantum mechanics as Dirac. Feelings are blurred compared to images and symbols. However, we make unambiguous decisions based on feelings. We make all decisions, calculated or not, solely based on feelings.
The blurriness of quantum mechanics is ensured by Heisenberg’s uncertainty principle.
The Schrödinger wave function gives us the opportunity not only for a physical, as Dirac writes, [1] but also for a mental interpretation of the mathematical formalism of quantum mechanics. By the way, what else can we call Dirac’s interpretation of negative energy and negative probabilities, which are real for him, but not observable? They can be called only mental. They are mental not in the sense of thoughts, but in the sense of feelings.
Primary thinking is not thinking in the strict sense of the word, because it operates with feelings, not thoughts. It is feelings, not thoughts, that the Schrödinger wave function and Dirac’s bra and ket vectors deal with albeit in different forms.
How can a mathematical formalism represent the blurriness of feelings which don’t obey any logical or arithmetical rules? Here is one example: “The relationship between a ket vector and the corresponding bra makes it reasonable to call one of them the conjugate imaginary of the other. Our bra and ket vectors are complex quantities, since they can be multiplied by complex numbers and are then of the same nature as before, but they are complex quantities of a special kind which cannot be split up into real and pure imaginary parts.” [1]
Quantum numbers (q-numbers), introduced by Dirac well before his bra and ket vectors do not obey the commutation rule for multiplication. Instead, they obey the Heisenberg uncertainty principle. One small difference, but the distance it creates between thoughts and feelings is enormous. [5]
Heisenberg’s quantum numbers are represented by matrices, in the cells of which classical numbers (c-numbers) live. With them, you can perform calculations laterally, orthogonally and diagonally. The results of such calculations can be compared with physically observed magnitudes but they do not allow us to make an unambiguous decision because, paradoxically, c-numbers represent exact thoughts, not blurred feelings.
Similarly, we need the absolute square of the Schrödinger wave function to obtain from it the same c-numbers as we have in Heisenberg matrices.
Therefore, quantum mechanics is considered a fundamentally probabilistic theory. And so it is from the point of view of exact thoughts but not from the point of view of blurred feelings. To make quantum mechanics deterministic we just need to learn to use it for decision making at the level of feelings, not thoughts.
As the theory of the universal wave function suggests, fundamentally, only one universal pure and unconditional wave function exists. [6] if so it represents the only one pure and unconditional universal feeling that I call the feeling of quantum love. Plato called it goodness or the idea of good: “As goodness stands in the intelligible realm to intelligence and the things we know, so the sun stands in the visible realm to sight and the things we see.” [7]
“The process of understanding nature as well as the happiness that man feels in understanding, that is, in the conscious realization of new knowledge, seems thus to be based on a correspondence, a “matching” of inner images pre-existent in the human psyche with external objects and their behaviour. This interpretation of scientific knowledge, of course, goes back to Plato and is, as we shall see, very clearly advocated by Kepler.”
Wolfgang Pauli [4]
“The supreme task of the physicist is to arrive at those universal elementary laws from which the cosmos can be built up by pure deduction. There is no logical path to these laws; only intuition, resting on sympathetic understanding of experience, can reach them.”
Albert Einstein [8]
The above words of Pauli and Einstein can be addressed to any manifestation of primary intelligence in all living forms from bacteria to humans and beyond.
As per Heisenberg, Schrödinger and Wigner quantum mechanics mathematically formulates the laws of Nature which no longer deal with Nature itself but with our knowledge about Nature. [9,10,11] Feelings, in spite of their blurriness contain knowledge in its maximal, the most condensed form.
The cardinal moral direction of the idea of good (the quantum love) enables Nature to make definite decisions on the basis of blurred feelings. Those decisions only appear to us as random because we don’t apply in our theories the same constraints as Nature does.
References:
- Dirac, Paul (1930). The Principles of Quantum Mechanics. Oxford, Clarendon Press.
- Khrustov G.F. Theory of fact — M.: MGIMO-University, 2005 (in Russian) Хрустов Г.Ф. Теория факта — М. : МГИМО-Университет, 2005. — 296 с. : ил. — ISBN 5–9228–0191–0.
- Falótico Tiago, Macedo Amanda C., de Jesus Matheus A., Espinola Tatiana and Valença Tatiane, Nut-cracking success and efficiency in two wild capuchin monkey populations, 2024, R. Soc. Open Sci.11240161, https://royalsocietypublishing.org/doi/10.1098/rsos.240161
- Pauli, W. The Influence of Archetypal Ideas on the Scientific Theories of Kepler. Routledge, 1955
- Dirac, Paul Adrien Maurice, The physical interpretation of the quantum dynamics, Proc. R. Soc. Lond. A113621–641, 1927 https://royalsocietypublishing.org/doi/10.1098/rspa.1927.0012
- Everett, Hugh, The Theory Of The Universal Wave Function, The Many-Worlds Interpretation of Quantum Mechanics, Princeton University Press Princeton, New Jersey, 1973
- Pojman, Louis & Vaughn, L. (2011). Classics of Philosophy. New York: Oxford University Press, Inc.
- Einstein A., preface to Max Planck’s Where is Science Going? (1933)
- Heisenberg, Werner. The Physicist’s Conception of Nature. 1958. Hutchinson, London.
- Schrödinger, Erwin, The Present Status of Quantum Mechanics, Die Naturwissenschaften 1935. Volume 23, Issue 48.
- Wigner E.P. (1995) Remarks on the Mind-Body Question. In: Mehra J. (eds) Philosophical Reflections and Syntheses. The Collected Works of Eugene Paul Wigner (Part B Historical, Philosophical, and Socio-Political Papers), vol B / 6. Springer, Berlin, Heidelberg.
