filmov
tv
Basil J. Hiley noncommutative mind-matter radical primitivism: novel antigravity force in physics
![preview_player](https://i.ytimg.com/vi/ANmKDpaDXdE/maxresdefault.jpg)
Показать описание
Prof. Basil J. Hiley: Non-commutative Geometry, the Bohm Interpretation and the
Mind-Matter Relationship*.
Stapp, Bohm and the Algebra of Process
Ideas and Perspectives
Open Access
Published: 17 April 2019
" My preference is for gravity to play such a role since it permeates everything but that is for the future. ...Thus, our ontology contains no explicit dependence on human observers....Remarkably, Clifford (1882) was working, in those pre-quantum days, entirely within classical physics, yet discovered an algebra that now plays a key role in quantum mechanics when spin and relativity are introduced. In light of this, we introduced the notion of the ‘algebra of process’. This provided a key link with Penrose’s twistors which were, of course, the semi-spinors of the conformal Clifford algebra (see Bohm and Hiley 1984)....a new form of kinetic energy, namely, KEO = (∇R)2/2mR2. This latter is clearly connected with the appearance of the quantum potential.
"However, Dirac argued that proceeding in this way the existence of a local momentum would violate the uncertainty principle. Bohm, in contrast, showed that this was not true. ... the Moyal approach (Moyal 1949), which is based on a different but isomorphic non-commutative algebra. If we evaluate this expression for the wave function written in polar form ψ(x) = R(x)exp[iS(x)], we find P¯¯¯¯¯¯¯¯(X)=∇S(X) which is just the Bohm momentum.
It should by now be apparent that the Bohm approach has its origins in the non-commutative algebra pioneered by Born et al. (1926) and which I have called ‘the algebra of process’ (Hiley 1980). The key link appears in Dirac’s The Principles of Quantum Mechanics (Dirac 1947) . There a symbol, 〉, the ‘standard ket’ is introduced into the algebra. This enables the wave function ψ to be written as a wave operator, ψ(Q^,P^)⟩; technically, the new object turns the wave function into an element of a left ideal. To complete the algebra, a dual symbol, the standard bra is introduced. Thus, Dirac has replaced the usual Hilbert space by a non-commutative algebra formed by the symbols [Q^,P^,ϵ] where the 𝜖 =〉〈, an idempotent.Footnote 2 In this way, all the essential details of the quantum process are contained in the algebra... I wanted to clarify how Bohm’s 1952 paper (Bohm 1952) related to the Heisenberg non-commutative algebra. The Bohm approach emerges as a coarse-grained average, giving the appearance of a deterministic approach, but being, in fact, very different from classical determinism."
"...we present an approach for constructing the relativistic Bohmian-type velocity field of single particles. The advantage of our proposal is that it is operational in nature, grounded in weak measurements of the particle’s momentum and energy....We propose a modified Alcubierre metric which could give rise to these trajectories within the paradigm of general relativity....Flack and Hiley have raised concerns that a relativistic treatment of photon trajectories is likely unphysical due to the existence of reference frames in which the photon’s velocity is zero [33]. "
#nonduality #noncommutative
#biology #quantum #antigravity #alternative #music #globalwarming #yoga #qigong #radical #meditation #neigong
Mind-Matter Relationship*.
Stapp, Bohm and the Algebra of Process
Ideas and Perspectives
Open Access
Published: 17 April 2019
" My preference is for gravity to play such a role since it permeates everything but that is for the future. ...Thus, our ontology contains no explicit dependence on human observers....Remarkably, Clifford (1882) was working, in those pre-quantum days, entirely within classical physics, yet discovered an algebra that now plays a key role in quantum mechanics when spin and relativity are introduced. In light of this, we introduced the notion of the ‘algebra of process’. This provided a key link with Penrose’s twistors which were, of course, the semi-spinors of the conformal Clifford algebra (see Bohm and Hiley 1984)....a new form of kinetic energy, namely, KEO = (∇R)2/2mR2. This latter is clearly connected with the appearance of the quantum potential.
"However, Dirac argued that proceeding in this way the existence of a local momentum would violate the uncertainty principle. Bohm, in contrast, showed that this was not true. ... the Moyal approach (Moyal 1949), which is based on a different but isomorphic non-commutative algebra. If we evaluate this expression for the wave function written in polar form ψ(x) = R(x)exp[iS(x)], we find P¯¯¯¯¯¯¯¯(X)=∇S(X) which is just the Bohm momentum.
It should by now be apparent that the Bohm approach has its origins in the non-commutative algebra pioneered by Born et al. (1926) and which I have called ‘the algebra of process’ (Hiley 1980). The key link appears in Dirac’s The Principles of Quantum Mechanics (Dirac 1947) . There a symbol, 〉, the ‘standard ket’ is introduced into the algebra. This enables the wave function ψ to be written as a wave operator, ψ(Q^,P^)⟩; technically, the new object turns the wave function into an element of a left ideal. To complete the algebra, a dual symbol, the standard bra is introduced. Thus, Dirac has replaced the usual Hilbert space by a non-commutative algebra formed by the symbols [Q^,P^,ϵ] where the 𝜖 =〉〈, an idempotent.Footnote 2 In this way, all the essential details of the quantum process are contained in the algebra... I wanted to clarify how Bohm’s 1952 paper (Bohm 1952) related to the Heisenberg non-commutative algebra. The Bohm approach emerges as a coarse-grained average, giving the appearance of a deterministic approach, but being, in fact, very different from classical determinism."
"...we present an approach for constructing the relativistic Bohmian-type velocity field of single particles. The advantage of our proposal is that it is operational in nature, grounded in weak measurements of the particle’s momentum and energy....We propose a modified Alcubierre metric which could give rise to these trajectories within the paradigm of general relativity....Flack and Hiley have raised concerns that a relativistic treatment of photon trajectories is likely unphysical due to the existence of reference frames in which the photon’s velocity is zero [33]. "
#nonduality #noncommutative
#biology #quantum #antigravity #alternative #music #globalwarming #yoga #qigong #radical #meditation #neigong
Комментарии