http://popups.lib.uliege.be/1373-5411/index.php?id=540 Publications of Auteurs Walter Schempp fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=4547 Self-reference, the postulated key to a more complete understanding of quantum mechanics, is shown to be a necessary mathematical basis for an evolution of all that exists in relation to a self-created quantum cosmology. The initial act of this self-creation - a critical phenomenon where the material phase transitions give rise simultaneously to mass and the strong, electro-magnetic, weak properties of mater in agreement with those of the standard model of elementary particle physics - is shown to concern 3+l dimensional Lorentzian space/time and Einstein's general relativity. Similarly subsequent acts giving rise to entirely novel material phase transitions and properties of matter, as predicted by renormalization group theory for which K.G. Wilson received the Nobel Prize, may include, evidence is presenæd those of self-aware, possibly conscious, living systems. Mon, 14 Oct 2024 10:58:55 +0200 Mon, 14 Oct 2024 13:00:41 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=4547 http://popups.lib.uliege.be/1373-5411/index.php?id=3888 Based on projective differential geometry, a quantum holographic approach to the post-Keppleriam orbiton/spinon dynamics of quantum blackholography and clinical magnetic resonance tomography is mathematically described. Crucial applications of the conformal steady-state free-precession modality and automorphic scattering theory are the compelling evidence for a supermassive central black hole in the Milky Way galaxy. Tue, 01 Oct 2024 11:04:03 +0200 Tue, 01 Oct 2024 11:05:36 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3888 http://popups.lib.uliege.be/1373-5411/index.php?id=3661 The soft tissue contrast provided by magnetic resonance imaging frequently makes it the modality of choice in diagnostic imaging. The paper describes the imagiIJ.g modality of magnetic resonance tomography in terms of harmonic analysis on the Heisenberg Lie group. Thu, 26 Sep 2024 10:32:26 +0200 Thu, 26 Sep 2024 10:32:40 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3661 http://popups.lib.uliege.be/1373-5411/index.php?id=3479 The non-invasive diagnostic protocols of magnetic resonance tomography and spectroscopy have been made effective for the clinical routine by means of the chirality reversing concepts of spin echo and gradient echo. Because Cooper pairs in a spin singlet are formed from time-reversed quantum states, the coadjoint orbit picture of the unitary dual N of the real Heisenberg step 2 nilpotent Lie group N gives rise to the symmetry group SU(2, C) ~ Spin(R3 ). Due to the Hopf fibration of the unit sphere S3 → C C over the Bloch sphere S2 → R C with fiber S1 → C, the compact Lie group SU(2,C) acts via U(l,C) gauge transformations on the complex line bundle associated with N. The metaplectic symmetries of the symplectic spinor bundle configuration, conjugated by indistinguishable pairs of contragredient flat double-layers occurring in the foliation of N, permit a natural approach to the quantum information transfer within pairs of Bose-Einstein condensates. Thu, 19 Sep 2024 16:17:53 +0200 Tue, 08 Oct 2024 13:40:39 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3479 http://popups.lib.uliege.be/1373-5411/index.php?id=3208 The technique of diffusion tensor imaging provides two unique insights into tissue microstructure: It quantifies non- invasively diffusion anisotropy of proton motion, which is a useful signum of cerebral white matter integrity, and provides an estimate of the principal direction of axon fib ers, which enables white matter tractography. The paper presents a novel approach to the magnetic resonance modality of diffusion tensor imaging which is based on the Lévy-Khintchin integral representation of the expectation value of Lévy processes thought of as random walks in continuous time, that is they are stochastic processes with independent and stationary increments. The proof is based on nilpotent harmonic analysis, contact geometry and the symbolic calculus of quantum field theory. Diffusion tensor imaging provides indirect insights into the brain microstructural characteristics of patients suffering of different forms of dementias, improving the comprehension of the underlying pathophysiological processes that result in macroscopic brain tissue loss over time. Thu, 12 Sep 2024 09:32:51 +0200 Thu, 12 Sep 2024 09:33:03 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3208 http://popups.lib.uliege.be/1373-5411/index.php?id=2723 Fri, 30 Aug 2024 14:14:13 +0200 Fri, 30 Aug 2024 14:14:21 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2723 http://popups.lib.uliege.be/1373-5411/index.php?id=2383 To incorporate thermodynamic, quantum and classical dynamical laws, the Universe is treated as a quantum Carnot engine (QCE) or single heat bath in which the ensemble of elementary particles retains a small amount of quantum coherence, so as to constitute new states of matter known as "phaseonia", the first being its Zenergy, the empty ensemble of dark energy. How Zenergy fuels the natural structure of the Universe, is then in complete accord with the existence of 3+l space-time, the known elementary particles quantizations and galactic structure. Similar QCE explanations of the natural structure of DNA, and of the human brain/mind as a conscious engine are given. Thus 'the Universe, life, consciousness and everything' may derive its entire structure from this difference between classical and quantum mechanical thermodynamic machines. Wed, 07 Aug 2024 15:32:42 +0200 Wed, 07 Aug 2024 15:32:52 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2383 http://popups.lib.uliege.be/1373-5411/index.php?id=1113 Any singularity free vector field X defined on an open set in a three-dimensional Euclidean space with curl X = 0 admits a complex line bundle Fa with a fibre-wise defined symplectic structure, a principal bundle Pa and a Heisenberg group bundle. For X = const. The geometry of Pa defines the Schrödinger representation of any fibre of the Heisenberg group bundle and a quantization procedure for homogeneous quadratic polynomials on the real line visualised as a transport along field lines of internal degrees of freedom in Fa. This is related to signal transmission. Fri, 05 Jul 2024 11:33:26 +0200 Mon, 07 Oct 2024 15:43:10 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1113 http://popups.lib.uliege.be/1373-5411/index.php?id=564 Coherent wavelets form a unified basis of the multichannel perfect reconstruction analysis-synthesis filter bank of high resolution radar imaging and clinical magnetic resonance imaging (MRI). The filter bank construction is performed by the Kepplerian temporospatial phase detection strategy which allows for the stroboscopic and synchronous cross sectional quadrature filtering of phase histories in local frequency encoding multichannels with respect to the rotating coordinate frame of reference. The Kepplerian strategy and the associated filter bank construction take place in symplectic affine planes which are immersed as coadjoint orbits of the Heisenberg two-step nilpotent Lie group G into the foliated three-dimensional real projective space P(R x Lie(G)). Due to the factorization of transvections into affine dilations of opposite ratio, the Heisenberg group G under its natural sub-Riemannian metric acts on the line bundle realizing the projective space P(R x Lie(G)). Its elliptic non-Euclidean geometry without absolute quadric, associated to the unitary dual G, governs the design of the coils inside the bore of the MRI scanner system. It determines the distributional reproducing kernel of the tracial read-out process of quantum holograms excited and coexisting in the MRI scanner system. Thus the pathway of this paper leads from Keppler's approach to projective geometry to the Heisenberg approach to the sub-Riemannian geometry of quantum physics, and finally to the enormously, appealing topic of ensemble quantum computing. Fri, 28 Jun 2024 09:00:50 +0200 Fri, 28 Jun 2024 17:14:56 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=564 http://popups.lib.uliege.be/1373-5411/index.php?id=534 Testable theoretical predictions in the form of mathematically specified templates for morphology and dynamics can be made using quantum holography. This has already been shown to be the case for DNA and will be shown to be the case for the simplest cells - the Prokaryote. Thu, 27 Jun 2024 14:16:00 +0200 Fri, 28 Jun 2024 17:11:15 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=534