Search results for "C0"
showing 10 items of 293 documents
Heisenberg Uncertainty in Reduced Power Algebras
2011
The Heisenberg uncertainty relation is known to be obtainable by a purely mathematical argument. Based on that fact, here it is shown that the Heisenberg uncertainty relation remains valid when Quantum Mechanics is re formulated within far wider frameworks of {\it scalars}, namely, within one or the other of the infinitely many {\it reduced power algebras} which can replace the usual real numbers $\mathbb{R}$, or complex numbers $\mathbb{C}$. A major advantage of such a re-formulation is, among others, the disappearance of the well known and hard to deal with problem of the so called "infinities in Physics". The use of reduced power algebras also opens up a foundational question about the r…
TOPOLOGICAL GEOMETRODYNAMICS: AN OVERVIEW
2018
If I remember correctly, I got the basic idea of Topological Geometrodynamics (TGD) during autumn 1977, perhaps it was October. What I realized was that the representability of physical space-times as 4-dimensional surfaces of some higher-dimensional space-time obtained by replacing the points of Minkowski space with some very small compact internal space could resolve the conceptual diculties of general relativity related to the denition of the notion of energy. This belief was too optimistic and only with the advent of what I call zero energy ontology the understanding of the notion of Poincare invariance has become satisfactory. This required also the understanding of the relationship to…
About the Nature of Time
2010
The identification of the experienced time te and geometric time tg involves well-known problems. Physicist is troubled by the reversibility of tg contra irreversibility of te, by the conflict between determinism of Schrödinger equation and the non-determinism of state function reduction, and by the poorly understood the origin of the arrow of tg. In biology the second law of thermodynamics might be violated in its standard form for short time intervals. Neuroscientist knows that the moment of sensory experience has a finite duration, does not understand what memories really are, and is bothered by the Libet's puzzling finding that neural activity seems to precede conscious decision. These …
Evolution in Many-Sheeted Space-time
2010
The topics of the article has been restricted to those, which seem to represent the most well-established ideas about evolution in many-sheeted space-time. a) Basic facts about and TGD based model for pre-biotic evolution are discussed. b) A model for the ATP-ADP process based on DNA as topological quantum computer vision, the identification of universal metabolic energy quanta in terms of zero point kinetic energies, and the notion of remote metabolism is discussed. c) A model for the evolution of the recent genetic code (3-codons) as a fusion of codes for which codons are nucleotides (1-codons) and di-nucleotides (2-codons) is discussed. The symmetries of the genetic code, the observation…
The Principle of Existence II: Genesis of Self-Referential Matrix Law, & the Ontology & Mathematics of Ether
2010
In the beginning there was prespacetime (GOD) by itself e0 =1 materially empty and spiritually restless. And it began to imagine through primordial self-referential spin such that it created the self-referential Matrix Law, the external object to be observed and internal object as observed, separated them into external world and internal world, caused them to interact through said Matrix Law and thus gave birth to the Universe which it has since passionately loved, sustained and made to evolve. In short, this work is the continuation of our hypothesis of scientific genesis, sustenance & evolution of the Universe and all creations within (the principle of existence).
Four Departures inMathematics and Physics
2011
Much of Mathematics, and therefore Physics as well, have been limited by four rather consequential restrictions. Two of them are ancient taboos, one is an ancient and no longer felt as such bondage, and the fourth is a surprising omission in Algebra. The paper brings to the attention of those interested these four restrictions, as well as the fact that each of them has by now ways, even if hardly yet known ones, to overcome them.
GENES AND MEMES
2018
This book belongs to a series of online books summarizing the recent state Topological Geometrodynamics (TGD) and its applications. TGD can be regarded as a unied theory of fundamental interactions but is not the kind of unied theory as so called GUTs constructed by graduate students at seventies and eighties using detailed recipes for how to reduce everything to group theory.
Premomentumenergy Model I: Genesis of Elementary Particles & Relativistic QM for a Dual Momentum-Energy Universe
2014
This article is a continuation of the Principle of Existence. A premomentumenergy model of elementary particles, four forces and human consciousness is formulated, which illustrates how the self-referential hierarchical spin structure of the premomentumenergy (God) provides a foundation for creating, sustaining and causing evolution of elementary particles through matrixing processes embedded in said premomentumenergy (God). This model generates elementary particles and their governing matrix laws for a dual universe (quantum frame) comprised of an external momentum-energy space and an internal momentum-energy space. In contrast, the prespacetime model described previously generates element…
TGD Inspired Theory of Consciousness
2003
The basic ideas and implications of TGD inspired theory of consciousness are briefly summarized. The notions of quantum jump and self can be unified in the recent formulation of TGD relying on dark matter hierarchy characterized by increasing values of Planck constant. Negentropy Maximization Principle serves as a basic variational principle for the dynamics of quantum jump. The new view about the relation of geometric and subjective time leads to a new view about memory and intentional action. The quantum measurement theory based on finite measurement resolution and realized in terms of hyper-finite factors of type II1 justifies the notions of sharing of mental images and stereo-consciousn…
Quantum Model for Nerve Pulse and EEG
2010
In this article a unified model of nerve pulse and EEG is discussed. a) In TGD Universe the function of EEG and its variants is to make possible communications from the cell membrane to the magnetic body and the control of the biological body by the magnetic body via magnetic flux sheets traversing DNA by inducing gene expression. This leads to the notions of super- and hyper-genome predicting coherent gene expression at level of organs and population. b) The assignment the predicted ranged classical weak and color gauge fields to dark matter hierarchy was a crucial step in the evolution of the model, and led among other things to a model of high T_c superconductivity predicting the basic s…