Twin Concept of Fine Structure Constant as the 'Self Number-Archetype' in Perspective of the Pauli-Jung Correspondence Part I: Observation, Identification and Interpretation
Abstract: The paper – similarly to our earlier publications since 1993 – is trying to ‘synchronize ’ early quantum physics, the Kalmanian representation theory, Jungian analytic psychology, and certain aesthetical categories. The number ‘137’, the so-called inverse Fine Structure Constant (IFSC), is placed at the centre of this heuristic and epistemological experiment, along with the scientific cooperation of Pauli and Jung. A new possibilistic twin concept of “controlling-observing equations ” is proposed for the reinterpretation of the FSC and other Number Archetypes on the basis of the Hermeneutic and symbolic languages found in the W. Pauli and C. G. Jung “Correspondence”. The first part of the paper deals in first line with the introduction of the possibilistic twin concept of FSC together with its interpretation according to the hermeneutical “tradition ” of the Pauli-Jung collaboration.
Abstract: The paper – similarly to our earlier publications since 1993 – is trying to ‘synchronize ’ early quantum physics, the Kalmanian representation theory, Jungian analytic psychology, and certain aesthetical categories. The number ‘137’, the so-called inverse Fine Structure Constant (IFSC), is placed at the centre of this heuristic and epistemological experiment, along with the scientific cooperation of Pauli and Jung. A new possibilistic twin concept of “controlling-observing equations ” is proposed for the reinterpretation of the FSC and other Number Archetypes on the basis of the Hermeneutic and symbolic languages found in the W. Pauli and C. G. Jung “Correspondence”. The first part of the paper deals in first line with the introduction of the possibilistic twin concept of FSC together with its interpretation according to the hermeneutical “tradition ” of the Pauli-Jung collaboration.
The paper - similarly to our earlier publications since 1993 - is trying to 'synchronize' early quantum physics, the Kalmanian representation theory, Jungian analytic psychology, and certain aesthetical categories. The number '137', the so-called inverse Fine Structure Constant (FSC), is placed at the centre of this heuristic and epistemological experiment, along with the scientific cooperation of Pauli and Jung. A new possibilistic twin concept of controlling-observing equations is proposed for the reinterpretation of the FSC and other Number Archetypes on the basis of the Hermeneutic and symbolic languages found in the W. Pauli and C. G. Jung Correspondence. The second part of the paper deals with the new ways of cognition and imagination related to the Background Control Theory which can be identified mainly in the Pauli-Jung collaboration anticipating the new system and control approach of R. E. Kalman Furthermore, we summarize this unusual attempt and give an extensive bibliography for further reading.
The paper deals with the basic features of the so- called synchronistic stochastic (control) systems on the basis of the extended Kalmanian system and realization theory, using the synchronicity paradigm of Jung and Pauli. It is shown that the introduced additive geometric structure number (characterizing the representation structure of synchronistic stochastic systems) is theoretically equivalent to the fine structure constant (determining e.g. the fine structure of hydrogen spectra) redefined by the authors of this paper. Finally the redefined form of fine structure constant as additive structure number (mediator number or identification number) and the amplified interpretation of structural patterns of some important objects of cultural history, as well as the hypothetically related natural and geometric structure numbers, are compared.
A multidisciplinary approach is employed to study informational processes that may occur on subliminal physical (quantum) and subliminal cognitive (unconscious) levels, with a focus on assessing how these processes may be influenced by and in turn exert influence on human concepts and perceptions of information and reality. The unconscious is studied through the concepts developed by Carl Jung. In the study of quantum phenomena, the Copenhagen Interpretation is employed. In the study of depth psychology, archetypes are found to be possible cognitive structures that deal with organising information within the mind. It is suggested that archetypes may have the ability to indirectly but definitively influence aspects of behaviour in and perceptions of reality. It is also suggested that this influence may extend to our innate science forming abilities, thus compromising the notion of scientific objectivity. It is shown that a shift in world views within the physics community may be occurring that places emphasis on information as the fundamental foundation of physical reality. A correlation between Jungian concepts and fundamental concepts in Quantum Physics is highlighted. This correlation is shown to be informational in nature, suggesting that through a study grounded in Information Science, concepts in disparate subjects may be linked. The preliminary research conducted in this investigation shows that while human intervention on both a physical and psychic level may be disruptive to the extent of rendering certain aspects of reality unknowable, the concepts of the Collective Unconscious and Quantum Physics can nonetheless be united to form a deeper understanding regarding the informational structure of universal reality. As a result, it is suggested that this could help towards the formulation of a unified and universal theory of information.
Open realism, B. d'Espagnat quantum mechanics and objectivity - an analysis of some paradoxes, A. Peres non-locality and wave-packet reduction in optical experiments - physical and philosophical issues in the Bohr-Einstein debate, A. Shimony actualization perception and reality - an epistemological approach based on psychological analysis - a draft, K. Rainio do we need an introvert physics?, E. Huhmar quantum theory of measurement - a review, P. Lahti the archetypal hypothesis of Wolfgang Pauli and C.G. Junge - origins, development and implications, C.R. Card Wolfgang Pauli between quantum reality and the royal path of dreams, C.P. Enz Einstein, Bohr, Pauli and the principle of individuation, H. van Erkelens the role of the Copenhagen interpretation today - quantum mechanics and realism, remarks on physics and the psyche, K.V. Laurikainen the Cartesian cut, the Heisenberg cut, dressed objects, and detached observers, H. Primas mind, matter, and Pauli, H. Stapp a possible explanation for the quantum structure, D. Aerts the observer in the age of man - from Laplace's demon to Wigner's friend, F. Borg universal gravitational interaction and the (non)-measurability of physical field quantities, on a new type of uncertainty relations in quantum general relativity, H-H. v. Borzeskowski non-detachability of language and the Pauli-Bohr dialogue, L. Lofgren quantum mechanics as a continuous theory of discrete processes, P. Sibelius.
Accessible introduction to the H_φ theory for readers without formal training in physics, mathematics or psychology. Presents the central hypothesis — that the Unus Mundus postulated by Jung and Pauli is a Hilbert space H_φ whose structure is entirely determined by the golden ratio φ — through metaphors and analogies rather than equations. The document explains the three ingredients of the theory: Jungian archetypes (what organizes the psyche), quantum mechanics with Hilbert spaces and Berry phase (what organizes matter), and the golden ratio φ with self-reference φ = 1 + 1/φ (what organizes nature). It then describes the proposed structure of H_φ as Fibonacci-organized levels with frequency φᵏ, the formalization of Jungian synchronicity via projection from a common state in H_φ, and the symmetry-breaking 4 → 3 mechanism producing complexity. Two distinctive predictions are explained in plain language: P1 (Berry phase of 2π/φ ≈ 3.883 rad in a Penrose crystal — testable with Bose-Einstein condensates or photonic crystals) and P2 (oscillation frequencies of cerebral organoids on MEA distributed on φⁿ levels — currently tested with positive signal at <0.1 % precision on 7 independent datasets, see PEREZ 2026d). The document then discusses concrete applications if both predictions are confirmed (neuroscience and medicine, AI and neuromorphic computing, fundamental physics, analytical psychology) and clarifies what the theory is NOT (not an established theory, not mysticism, not a theory of everything in the Einsteinian sense, not an explanation of individual coincidences). A final section presents H_φ as a "vertical unification" (physics-biology-psyche) distinct from horizontal unification attempts (string theory, loop quantum gravity), and explicitly addresses its relationship to David Chalmers' hard problem of consciousness. Version 1.1.0 (May 14, 2026) — Integration of prediction P3 (empirical validation of corpus chapters 5 and 8 on Planck PR4, DESI DR2, Pantheon+SH0ES, Gaia DR3). Updated Part 3 (The three experiments), added a sub-section "Experiment 3 (P3) — The φ^k signature in cosmology", and updated corpus references (2026e/2026f numbering). Popular science document — public use — not peer-reviewed.