Search results for "QC01 Quantum mechanics"

Trying to fuse the basic mathematical ideas of quantum TGD to a single coherent whole

The theoretical framework behind TGD involves several different strands and the goal is to unify them to a single coherent whole. TGD involves number theoretic and geometric visions about physics and $M^8-H$ duality, analogous to Langlands duality, is proposed to unify them. Also quantum classical correspondence (QCC) is a central aspect of TGD. One should understand both the $M^8-H$ duality and QCC at the level of detail. The following mathematical notions are expected to be of relevance for this goal. \begin{enumerate} \item Von Neumann algebras, call them $M$, in particular hyperfinite factors of type $II_1$ (HFFs), are in a central role. Both the geometric and number theoretic side, QCC…

Some New Ideas Related to Langlands Program viz. TGD

Langlands' program seeks to relate Galois groups in algebraic number theory to automorphic forms and representation theory of algebraic groups over local fields and adeles. Langlands program is described by Edward Frenkel as a kind of grand unified theory of mathematics. In the TGD framework, $M^8-M^4\times CP_2$ duality assigns to a rational polynomial a set of mass shells $H^3$ in $M^4\subset M^8$ and by associativity condition a 4-D surface in $M^8$, and its it to $H=M^4\times CP_2$. $M^8-M^4\times CP_2$ means that number theoretic vision and geometric vision of physics are dual or at least complementary. This vision could extend to a trinity of number theoretic, geometric and topologica…

Bohm’s Implicate Order, Wheeler’s Participatory Universe, Stapp’s Mindful Universe, Zurek’s Quantum Darwinism and the Buddhist Mind-Only Ground Consc…

According to quantum physicist Erich Joos the following three issues are the outstanding quantum conundrums of deep significance: 1. The meaning of the wavefunction; 2. The exact nature of the mechanism of the collapse; 3. The connection between the quantum and classical realm. In this paper I shall attempt to elucidate a possible approach to these central issues by drawing parallels between David Bohm’s notion of the implicate order, John Wheeler’s vision of the ‘Participatory Universe’, Henry Stapp’s account of the Heisenberg-von Neumann quantum ‘ontology’, Wojciech Zurek’s ‘Quantum Darwinism’ proposal and the Buddhist Mind-Only (Yogachara–Chittamatra) concept of the alayavijnana, the gro…

About the role of Galois groups in TGD framework

2021

This article was inspired by the inverse problem of Galois theory. Galois groups are realized as number theoretic symmetry groups realized physically in TGD a symmetries of space-time surfaces. Galois confinement is as analog of color confinement is proposed in TGD inspired quantum biology. Two instances of the inverse Galois problem, which are especially interesting in TGD, are following: Q1: Can a given finite group appear as Galois group over Q? The answer is not known. Q2: Can a given finite group G appear as a Galois group over some EQ? Answer to Q2 is positive as will be found and the extensions for a given G can be explicitly constructed.

Generalization of thermodynamics allowing negentropic entanglement and a model for conscious information processing

2011

Costa de Beauregard considers a model for information processing by a computer based on an analogy with Carnot's heat engine. I am grateful for Stephen Paul King for bringing this article to my attention in Time discussion group and also for inspiring discussions which also led to the birth of this section. As such the model Beauregard for computer does not look convincing as a model for what happens in biological information processing. Combined with TGD based vision about living matter, the model however inspires a model for how conscious information is generated and how the second law of thermodynamics must be modified in TGD framework. The basic formulas of thermodynamics remain as such…

The problems of the dialogue of quantum mechanics and theology

2005

The paper is a review of bordering problems between quantum mechanics, describing the microworld, and Christian theology. The basic concepts of quantum mechanics and their essential distinctions from our notions about the macroworld are given in a popular way. The outlined methodological principles of quantum mechanics are used as an analogy for the illustration of Christian faith miracle, taking as an example the celebration of Holy Communion. The problem of relationships between the methodology of quantum mechanics and the observer’s consciousness is analyzed. The critical appraisal of the many-worlds interpretation of quantum mechanics is given. The possibilty of a deeper understanding o…

New Nonlocal Biological Effect: A Preliminary Research

2012

We report here our experimental findings of new nonlocal biological effect measured objectively and quantitatively under blind conditions. The method used includes the steps of providing two parts of quantum-entangled medium, applying one part to a biological system such as a human, contacting the other part with a desired substance such as a medication, and detecting change of a biological parameter with a detecting device. Using this method, we have found that after consumption by a test subject of one part of the quantum entangled water, the subject’s heart rate was non-locally increased under blind conditions by adding to the second part of the quantum-entangled water an over-the-counte…

Symmetry of mass and energy density of quantum vacuum

Mass is an energy form of quantum vacuum in symmetry with diminished energy density of quantum vacuum. Presence of mass diminishes energy density of quantum vacuum respectively to the energy of a given mass. A given particle with a mass diminishes energy density of quantum vacuum, mass-less particle does not diminish energy of quantum vacuum. In order to explain mass of elementary particles this view does not require existence of the hypothetical boson of Higgs.

An Overview About Evolution of TGD

2010

This chapter provides a bird's eye view about evolution of TGD. The geometrization of fundamental interactions assuming that space-times are representable as 4-surfaces of H=M^4xCP_2 is wherefrom everything began. The two manners to understand TGD is TGD as a Poincare invariant theory of gravitation obtained by fusing special and general relativities, and TGD as a generalization of string model obtained my replacing 1-dimensional strings with 3-surfaces. The fusion of these approaches leads to the notion of many-sheeted space-time.

THE ROLE OF CONCEPTUAL FOUNDATIONS OF QUANTUM THEORY IN THE DIALOGUE BETWEEN SCIENCE AND RELIGION

2001

A recent development in the understanding of conceptual foundations of quantum theory is discussed, giving particular attention to the analysis of the so called Schroedinger’s cat paradox. The solution of this problem in the frameworks of Everett-Wheeler many-worlds interpretation of quantum mechanics is considered, as well as the philosophical and theological consequences following from this interpretation. The recommendations are given, concerning the use of questions related with conceptual foundations of quantum theory in the education when introducing students and senior class pupils in problems of the dialogue between science and religion. KEY WORDS: science, religion, dialogue, found…