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Probabilistic and Geometric Languages in the Context of the Principle of Least Action
minimal principles Hamilton's principle path integral interpretation quantum mechanics probability causality
2016/5/31
This paper explores the issue of the unification of three languages of physics, the geometric language of forces, geometric language of fields or 4-dimensional space-time, and probabilistic language o...
Spacetime memory is defined with a holonomic approach to
information processing, where multi-state stability is introduced by a non-linear phase-locked loop. Geometric phases serve as the carrier of ...
Berry's phase carries physical information coded as topological
and geometrical objects that can be directly verified in
measurements. In some cases the situation can be reduced to an
irrational ph...
Embedding Fundamental Aspects of the Relational Blockworld Interpretation in Geometric (or Clifford) Algebra
Relational Blockworld Clifford algebraic derivation of Heisenberg algebra
2008/4/11
I summarize Silberstein, et. al’s (2006) discussion of the derivation of the Heisenberg commutators, whose work is based on Kaiser (1981, 1990) and Bohr, et. al. (1995, 2004a,b). I argue that Bohr an...
Charge as the Stereographic Projection of Geometric Precession on Pseudospheres
nonlocal nonabelian nonlinear discrete
2008/4/10
In this paper geometric phases (Berry and Aharonov-Bohm) are generalized
to nonlinear topological phase fields on pseudospheres, where the
coordinate vector field is parallel transported along the
...
An Argument for 4D Blockworld from a Geometric Interpretation of Non-relativistic Quantum Mechanics
blockworld special relativity quantum mechanics
2008/4/10
We use a new, distinctly “geometrical” interpretation of non-relativistic quantum mechanics (NRQM) to argue for the fundamentality of the 4D blockworld ontology. We argue for a geometrical interpretat...
The Problem of Transition Across Levels in the van Hiele Theory of Geometric Reasoning
Geometric Reasoning Transition Across Levels
2008/4/8
The most outstanding characteristic of the van Hiele theory of geometric reasoning (Hoffer, 1983; Perdikaris, 1994; van Hiele,1986) is perhaps the relationship between the levels of reasoning, a hiera...