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[5] viXra:2610.0005 [pdf] submitted on 2026-10-01 20:59:54
Authors: Saburou Saitoh
Comments: 60 Pages. (Note by viXra Admin: Please submit article written with AI assistance to ai.viXra.org)
The theory of reproducing kernels is very fundamental, beautiful and has many applications in analysis and numerical analysis as in the Pythagorean theorem. In this first lecture, I would like to intoroduce some general viewpoint for reproducing kernels and some essences of reproducing kernels. However, the theory is already much more developing widely and deeply on this century. (The First Lecture at Peking University on 1 October, 2026)
Category: Functions and Analysis
[4] viXra:2610.0004 [pdf] submitted on 2026-10-01 12:45:48
Authors: Volodymyr Krasnoholovets
Comments: 15 Pages. This is the first paper in a series of three works.
This paper presents a deterministic, real-space reinterpretation of the 125 GeV particle discovered at the Large Hadron Collider (LHC) in 2012, commonly designated as the Higgs boson. Submicroscopic physics, developed within the framework of transparent mathematical physics in a series of the author’s previous works, allows us to bypass the complexities of physical mathematics and fine-tuning issues of the scalar Higgs field. Instead, the paper examines the 125 GeV resonance as a highly localised, ultrafast vortex formed by a frontal collision between a +e and -e integer-charged quark pair. This impact forces a massive compression of the discrete spatial lattice (tessellattice), trapping a colossal spatial mass defect (∆m∙c^2≅125 GeV). This dual-quark system forms an ultra-submicroscopic vortex with a radius of approximately 1.58 attometres, stabilised by this localised mass defect. Together with the Coulomb attraction, this structural confinement leads to the formation of a localised deformation coat around the vortex, whose geometric parameters are precisely balanced by the fine-structure constant α.
Category: High Energy Particle Physics
[3] viXra:2610.0003 [pdf] submitted on 2026-10-01 20:53:40
Authors: Hongyuan Ye
Comments: 16 Pages.
In classical electromagnetism, Gauss’s flux theorem in integral form states that the electric flux through a closed surface is proportional to the net electric charge enclosed by that surface. Gauss’s flux theorem in integral form is originally derived from Coulomb’s law of electrostatics. However, electrodynamics wrongly extends Gauss’s flux theorem to time-varying electric fields without additional theoretical and experimental justification, while confining Coulomb’s law to the scope of electrostatics. Through concise and rigorous mathematical derivations, this paper reveals that the integral form of Gauss’s flux theorem in classical electromagnetism does not hold in time-varying electric fields. Furthermore, it is demonstrated that Gauss’s flux theorem in differential form, which is expressed in terms of the flux-density divergence or the nabla-operator divergence, also does not hold in time-varying electric fields. Gauss’s flux theorem does not hold in time-varying electric fields, which poses a serious challenge to Maxwell’s equations and theoretical physics. The inapplicability of divergence to time-varying vectors also presents a significant challenge to fundamental mathematics.
Category: Classical Physics
[2] viXra:2610.0002 [pdf] submitted on 2026-10-01 15:19:27
Authors: Sergey B. Yurchenko
Comments: 20 Pages.
Science has made great strides in answering many questions, but three major mysteries remain unsolved. Although these mysteries belong to different fields of science — physics, biology, and neuroscience — they all confront with the boundary problem. These are scientific investigations into the origins of matter, life, and consciousness, which extend beyond empirical and rational methods in the search for definitive answers. Here, this problem is presented as the search for the lowest boundaries for three forms of existence: physical, biological, and conscious. They are then translated into the context of Big Bang cosmology, abiogenesis, and the neuroscience of consciousness, each representing an ontological singularity with its own epistemological event horizon.
Category: General Science and Philosophy
[1] viXra:2610.0001 [pdf] submitted on 2026-10-01 19:01:14
Authors: Tariq Khan
Comments: 10 Pages.
A speculative essay on the nature of song lyrics and song melodies answering the question of "why humans love music." A proposed shared human subconscious mind can understand language but, while it can communicate with the sleeping mind via images in dreams, it can only communicate to an individual’s awake mind via what appear to the individual as a random recall of a musical song in working memory. Remarkable lyrics of a given song can thus be used by the subconscious as a means to communicate to an awake mind. A theory of subconscious communication, from Cormac McCarthy’s essay The Kekule’ Problem and the research of Jeff Hawkins showing the human brain storing sequences of patterns including songs, is used to support the proposal. Music is considered as "primordial change" or as being equivalent to a fundamental encoding of change in a quantum or digital universe. Music is proposed as possibly being the boot code for any experience.
Category: History and Philosophy of Physics
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