Coincidenţa contrariilor reprezintă un punct esenţial în gândirea umanităţii, echivalând, în cele din urmă, cu dorinţa omului de a aduna într-un tot unitar pe cele ce se opun în univers. Această preocupare a stat la baza scrierilor unor gânditori importanţi, între care se numără Sfântul Dionisie Areopagitul, Meister Eckhart, Nicolaus Cusanus sau Mircea Eliade. Deşi au scris în perioade de timp diferite şi au aparţinut unor tradiţii diferite, operele lor stau mărturie faptului că motivul coincidentia oppositorum a fost şi continuă (...) să fie o constantă în viaţa omului în dorinţa acestuia de a atinge Absolutul. (shrink)

The paper discusses this year’s Nobel Prize in physics for experiments of entanglement “establishing the violation of Bell inequalities and pioneering quantum information science” in a much wider, including philosophical context legitimizing by the authority of the Nobel Prize a new scientific area out of “classical” quantum mechanics relevant to Pauli’s “particle” paradigm of energy conservation and thus to the Standard model obeying it. One justifies the eventual future theory of quantum gravitation as belonging to the newly established quantum information (...) science. Entanglement, involving non-Hermitian operators for its rigorous description, non-unitarity as well as nonlocal and superluminal physical signals “spookily” (by Einstein’s flowery epithet) synchronizing and transferring some nonzero action at a distance, can be considered to be quantum gravity so that its local counterpart to be Einstein’s gravitation according to general relativity therefore pioneering an alternative pathway to quantum gravitation different from the “secondary quantization” of the Standard model. So, the experiments of entanglement once they have been awarded by the Nobel Prize launch particularly the relevant theory of quantum gravitation grounded on “quantum information science” thus granted to be nonclassical quantum mechanics in the shared framework of the generalized quantum mechanics obeying rather quantum-information conservation than only energy conservation. The concept of “dark phase” of the universe naturally linked to the very well confirmed “dark matter” and “dark energy” and opposed to its “light phase” inherent to classical quantum mechanics and the Standard model obeys quantum-information conservation, after which reversible causality or the mutual transformation of energy and information are valid. The mythical Big Bang after which energy conservation holds universally is to be replaced by an omnipresent and omnitemporal medium of decoherence of the dark and nonlocal phase into the light and local phase. The former is only an integral image of the latter and borrowed in fact rather from religion than from science. Physical, methodological and proper philosophical conclusions follow from that paradigm shift heralded by this year’s Nobel Prize in physics. For example, the scientific theory of thinking should originate from the dark phase of the universe, as well: probably only approximately modeled by neural networks physically belonging to the light phase thoroughly. A few crucial philosophical sequences follow from the break of Pauli’s paradigm: (1) the establishment of the “dark” phase of the universe as opposed to its “light” phase, only to which the Cartesian dichotomy of “body” and “mind” is valid; (2) quantum information conservation as relevant to the dark phase, furthermore generalizing energy conservation as to its light phase, productively allowing for physical entities to appear “ex nihilo”, i.e., from the dark phase, in which energy and time are yet inseparable from each other; (3) reversible causality as inherent to the dark phase; (4) the interpretation of gravitation only mathematically: as an interpretation of the incompleteness of finiteness to infinity, for example, following the Gödel dichotomy (“either contradiction or incompleteness”) about the relation of arithmetic to set theory; (5) the restriction of the concept of hierarchy only to the light phase; (6) the commensurability of both physical extremes of a quantum and the universe as a whole in the dark phase obeying quantum information conservation and akin to Nicholas of Cusa’s philosophical and theological worldview. (shrink)

Gravitation is interpreted to be an “ontomathematical” force or interaction rather than an only physical one. That approach restores Newton’s original design of universal gravitation in the framework of “The Mathematical Principles of Natural Philosophy”, which allows for Einstein’s special and general relativity to be also reinterpreted ontomathematically. The entanglement theory of quantum gravitation is inherently involved also ontomathematically by virtue of the consideration of the qubit Hilbert space after entanglement as the Fourier counterpart of pseudo-Riemannian space. Gravitation can be (...) also interpreted as purely mathematical or logical “force” or “interaction” as a corollary from its ontomathematical (rather than physical) realization. The ontomathematical approach to gravitation is implicit in general relativity equating it to operators in pseudo-Riemannian space obeying the Einstein field equation and also well-known by the “geometrization of physics”. Quantum mechanics shares the same by the separable complex Hilbert space and defining “physical quantity” by the Hermitian operators on it. One can interpret special Minkowski space involved by special relativity and the qubit Hilbert space of quantum information as Fourier counterparts immediately noticing that general relativity means gravitation as the Fourier counterpart of non-Hermitian operators implying non-unitarity and the violation of energy conservation and thus destroying Pauli’s particle paradigm. Since the Standard model obeys it, this explains the impossibility of “quantum gravitation” in any framework conservatively generalizing the Standard model so that it would include gravitation along with electromagnetic, weak, and strong interactions. Einstein’s geometrization of gravitation can be continued into a purely mathematical theory of it following Euclid’s realization for geometry to be exhaustively built in a deductive and axiomatic way as well as Riemann’s parametrization of all the class of Euclidean and non-Euclidean geometries by “space curvature”, then being generalized to Minkowski space as the operators on pseudo-Riemannian space as the Einstein field equation means gravitation. The transition from mathematical gravitation to logical one can rely on the historical lesson of the pair of Lobachevski’s and Riemann’s approaches now “reversely”, i.e., from the latter to the former. Logical gravitation is linkable to Hegel’s dialectical logic and ontological dialectics abandoning their interpretations as a new zero logic substituting classical propionyl logic. The approach of ontomathematics generalizing that of ontology, traceable even to Aristotle’s reformation of Plato’s doctrine, needs Hegel’s doctrine to be formalized as a first-order logic naturally containing Boolean algebra, isomorphic to both classical propositional logic and set theory being the class of all first-order logics, as a sub-logic along with Peano arithmetic as another sub-logic. The first-order logic at issue is called Hilbert arithmetic and elaborated in detail in other papers. It allows for both self-foundation of mathematics to be internally proved as complete and furthermore, quantum mechanics reinterpreted as quantum information to be included by the qubit Hilbert space interpretable in turn as a dual and physical counterpart of Hilbert arithmetic in a narrow sense, that is, both counterparts constitute Hilbert arithmetic in a wide sense, being mathematical and physical simultaneously and thus overcoming the Cartesian dualism of “body” gapped from “mind” by an abyss. Then, the proper philosophical interpretation of gravitation to be the fundamental ontomathematical force or interaction overcomes the ridiculous belief of the Big Bang wrongly alleged to be a scientific theory. Ontomathematical gravitation suggests an omnipresent and omnitemporal medium of “God’s” creation “ex nihilo” following only the natural necessity of quantum-information conservation particularly and locally manifested as energy conservation. (shrink)

We discuss the fate of the correspondence principle beyond quantum mechanics, specifically in quantum field theory and quantum gravity, in connection with the intrinsic limitations of the human ability to observe the external world. We conclude that the best correspondence principle is made of unitarity, locality, proper renormalizability (a refinement of strict renormalizability), combined with fundamental local symmetries and the requirement of having a finite number of fields. Quantum gravity is identified in an essentially unique way. The gauge interactions (...) are uniquely identified in form. Instead, the matter sector remains basically unrestricted. The major prediction is the violation of causality at small distances. (shrink)

The correspondence principle made of unitarity, locality and renormalizability has been very successful in quantum field theory. Among the other things, it helped us build the standard model. However, it also showed important limitations. For example, it failed to restrict the gauge group and the matter sector in a powerful way. After discussing its effectiveness, we upgrade it to make room for quantum gravity. The unitarity assumption is better understood, since it allows for the presence of physical particles (...) as well as fake particles (fakeons). The locality assumption is applied to an interim classical action, since the true classical action is nonlocal and emerges from the quantization and a later process of classicization. The renormalizability assumption is refined to single out the special role of the gauge couplings. We show that the upgraded principle leads to an essentially unique theory of quantum gravity. In particular, in four dimensions, a fakeon of spin 2, together with a scalar field, is able to make the theory renormalizable while preserving unitarity. We offer an overview of quantum field theories of particles and fakeons in various dimensions, with and without gravity. (shrink)

The explicit history of the “hidden variables” problem is well-known and established. The main events of its chronology are traced. An implicit context of that history is suggested. It links the problem with the “conservation of energy conservation” in quantum mechanics. Bohr, Kramers, and Slaters (1924) admitted its violation being due to the “fourth Heisenberg uncertainty”, that of energy in relation to time. Wolfgang Pauli rejected the conjecture and even forecast the existence of a new and unknown then elementary particle, (...) neutrino, on the ground of energy conservation in quantum mechanics, afterwards confirmed experimentally. Bohr recognized his defeat and Pauli’s truth: the paradigm of elementary particles (furthermore underlying the Standard model) dominates nowadays. However, the reason of energy conservation in quantum mechanics is quite different from that in classical mechanics (the Lie group of all translations in time). Even more, if the reason was the latter, Bohr, Cramers, and Slatters’s argument would be valid. The link between the “conservation of energy conservation” and the problem of hidden variables is the following: the former is equivalent to their absence. The same can be verified historically by the unification of Heisenberg’s matrix mechanics and Schrödinger’s wave mechanics in the contemporary quantum mechanics by means of the separable complex Hilbert space. The Heisenberg version relies on the vector interpretation of Hilbert space, and the Schrödinger one, on the wave-function interpretation. However the both are equivalent to each other only under the additional condition that a certain well-ordering is equivalent to the corresponding ordinal number (as in Neumann’s definition of “ordinal number”). The same condition interpreted in the proper terms of quantum mechanics means its “unitarity”, therefore the “conservation of energy conservation”. In other words, the “conservation of energy conservation” is postulated in the foundations of quantum mechanics by means of the concept of the separable complex Hilbert space, which furthermore is equivalent to postulating the absence of hidden variables in quantum mechanics (directly deducible from the properties of that Hilbert space). Further, the lesson of that unification (of Heisenberg’s approach and Schrödinger’s version) can be directly interpreted in terms of the unification of general relativity and quantum mechanics in the cherished “quantum gravity” as well as a “manual” of how one can do this considering them as isomorphic to each other in a new mathematical structure corresponding to quantum information. Even more, the condition of the unification is analogical to that in the historical precedent of the unifying mathematical structure (namely the separable complex Hilbert space of quantum mechanics) and consists in the class of equivalence of any smooth deformations of the pseudo-Riemannian space of general relativity: each element of that class is a wave function and vice versa as well. Thus, quantum mechanics can be considered as a “thermodynamic version” of general relativity, after which the universe is observed as if “outside” (similarly to a phenomenological thermodynamic system observable only “outside” as a whole). The statistical approach to that “phenomenological thermodynamics” of quantum mechanics implies Gibbs classes of equivalence of all states of the universe, furthermore re-presentable in Boltzmann’s manner implying general relativity properly … The meta-lesson is that the historical lesson can serve for future discoveries. (shrink)

The ontological determination of the movement in its quality of way of Being incessantly moves the critic affirmed to denial it through come to be which affirms new critics, unity of continuities and discontinuities with the previous critic. Therefore, it is important to unveil the material determinations in which are rooted the conception of Being dissociated from Non-being consolidated in insurmountable distinction between Being and Entity in its quality of expression of ideas in an inverted reality, falsely apprehended. Ideally reproduced (...) reality that, nevertheless, allows alternatives corresponding to the realization of aims targeted to satisfy historically determined necessities. The confrontations in the production and reproduction of purposes to guide social relations cross-dress debility of determined and impotent movement to impose determinations to the full virtuosity of immobility that moves the transitory. The difference between Being e Entity conforms in a formal logic deprived from/of contradiction to affirm the development of knowledge in what, in truth, hindered and limit it to remain, reducing the movement to stationary, to what moves to what moves without moving, to what isolate the knowledge of reality, to what detaches idea and material, to what conserves and incarcerates and not to what transform and set free. The treatment conceived as a movement from radical critic brings together the ontological primacy to underpin the root of the constitution of social existence to establish the ontological determinations of the existence to consciousness is stated in Marx – being reaffirmed in Lukács – by affirming that categories are forms of Being, determinations from/of existence. The category of totality, as a result of it, constitute expression of form of Being from reality in movement and synthesis from multiples and mutual determinations of negated diversities in an unitarity which affirm them. Therefore, the dialectical reflexive movement refuses as an ineliminable condition to the movement which affirms to mould identity with unitarity between identity and non-identity or don’t conceive relation of identity with dialectic, with the existence of reality to express a contradiction and incessant transmutation between Being and Non-being. The totality by transmuting itself while remain totality albeit not identical to the previous moment embraces a category to synthesize the unity of diversity. This diversity moved and moving from/by unity contemplates the relation of identity ratio (nowadays totality) between the identity (continuity with the preceding totality) and the non-identity (discontinuity with the preceding totality). To ignore the identity of identity with a non-identity conforms the impotence of category to constitute an expression of existence for not affording the contradiction immanent to the existence of reality moving from transport incessant of Being to come to be which puts itself from Non-being to Being. In short, concomitantly the being is transposed to Non-being to a Being come to be transpose from Non-being to a Being whilst ontological determination is constituted and constitutive of movement. The realization of critic conditioned the self-critic that ontologically determines the denial of self-preservation because it constitutes roots in social conditions that limit the intended transformation through critic. The critique of science as an ideological and material condition of reproduction and realization of capital is not effective with the auto-conservation of Geography for conforming the necessity of conservation of science to be rooted in the conception of distinction idealized by superiority that would affirm the permanence and nullity of transcending the limitations to denial the inhumanity of alienation concomitantly affirm the conditions to recognition of necessities and possibilities oriented to an emancipatory purposes. The progressive compressing of expenditure of time on production and productivity of results in various fields of scientific knowledge – which do not realize strictly in the extent of knowledge or it would be equivalent to affirm the fallacy of isolation and to deny the material and historical determinations that constitutes the quality of form of Being -, expressed in the quality of objective necessity and possibility concomitantly to fragment the form and content of the orientation of aims for investigation and for apprehension of reality. The convergence of the movements above-mentioned conforms the constitution of consensus positivity of complexifying of knowledge, delimitating the conceiving of reality and the supposed objective determinations a priori that constraint the conscious apprehension of necessities and of purposes that manifestate in the immediacy by the quality of developing individual and humankind potentialities of social being. Therefore, the conception of suprahistorical and insuppressible ontological determination depriving from social intentionalities in naturalize the impute of greater speed and complexity with lesser time and size of fragmented reality to be known, strengthening the conditions of inversion of reality. Reversed reality deforms the conscious apprehension of corresponding reduce the humanity of individual and gender social sphere of Being for alienating the necessities and goals of theory and practice, consciously aimed to the development of conditions for impoverishment humanity cross-dress in fallaciously things provided by humanity. Things that would had identity with men humanization obfuscating the unifying the developing of thing in the developing of men in the quality of thing, to conceive the most primary theoretical and practical necessity for the purpose of development of thing as an irrevocable necessity from human activity. The confrontation in the sphere of ideas constitutes itself while conceiving the real and, in this direction, the domination of necessities and purposes of material (re)production of society requires the domination of the categories of space and time as forms of Being of substance in motion. The detachment between Being and Entity conceives the indetermination of the dominant conception of reality that determines the conditions for the reproduction of life and the come to be of individuals and humankind. (shrink)