Cantor and generalized continuum hypotheses may be false

Czajko, Jakub

doi:10.1016/j.chaos.2003.12.004

Cited by 6 publications

(2 citation statements)

References 68 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…If the angle θ is tied to the density of matter Q of the mass source of the local force field, the field should exhibit an intrinsic rotation, which is neglected for the time being. These tentative conclusions agree with realistic interpretation of infinity [24], [25]. These and other related issues shall be discussed in more detail elsewhere.…”

Section: Volume 37supporting

confidence: 77%

Operationally Complete Work Done Suggests Presence of Extra Potentials Corresponding to Repulsive Forces

Czajko

2014

ILCPA

Self Cite

View full text Add to dashboard Cite

Operationally complete representation of work done and the corresponding to it potential energy within the usual radial/center-bound, nonrotating gravitational force fields comprises two extra terms: linear nonradial and angular nonradial, in addition to the usual radial term. Since these nonradial terms have negative signs, they suggest presence of potentials corresponding to repulsive forces generated by the very same, usual radial attractive force field. The extra linear nonradial term depends on exposure of an orbiting satellite to the distribution of mass within the field, whereas the extra angular nonradial term also depends on that as well as on exposure of the satellite to density of matter of the mass source that generates the usual, locally dominant radial/center-bound attractive gravitational force field.

show abstract

Section: Volume 37supporting

confidence: 77%

Operationally Complete Work Done Suggests Presence of Extra Potentials Corresponding to Repulsive Forces

Czajko

2014

ILCPA

Self Cite

View full text Add to dashboard Cite

show abstract

“…Also a new operationally viable (as opposed to merely philosophical) approach to understanding the operational meaning of infinity and singularity is needed. These topics have been briefly discussed in [88,89].…”

Section: International Letters Of Chemistry Physics and Astronomy Vomentioning

confidence: 99%

Operational Restrictions on Morphing of Quasi-Geometric 4D Physical Spaces

Czajko

2014

ILCPA

Self Cite

View full text Add to dashboard Cite

Since a hierarchical notion of dimension is needed to ensure that a virtual, indirect orthogonality of dimensions is maintained in higher-dimensional spatial structures, a generic function for furling and unfurling of the fourth dimension in four-dimensional (4D) spatial structures is proposed. The furling allows three extra dimensions (above the regular three) in a 6D algebraic structure to be represented as a single fourth dimension and thus effectively facilitates morphing of the 4D spacetime into its dual 4D timespace. The effect of the furling of the extra three dimensions resembles that of compactification proposed by Kaluza-Klein theory yet without curling of the furled dimension. The furling supports reexpansion of stringy space into yet another dimension and so enables mapping of radius R (of a closed string being squeezed beyond its minimal radius) into an inverse radius 1/R, which was attributed to string duality, but is shown as due to duality of the 4D spatial structures of spacetime and timespace. Mathematically, it may appear as if further squeezing of the minimal string morphs it into an expanding pointletlike energy bubble so that the stringy spacetime reexpands in a new direction/dimension located within the bubbly dual timespace. So vibrating string is a mirror image of an energy bubblet, both of which do represent the same stringlet. By analogy, particle cast in spacetime could appear mathematically as having a mirror image (or its superpartner) cast in the dual timespace.

show abstract

The symplictic vacuum, exotic quasi particles and gravitational instanton

Naschie

2004

Chaos, Solitons & Fractals

View full text Add to dashboard Cite

Cantor and generalized continuum hypotheses may be false

Cited by 6 publications

References 68 publications

Operationally Complete Work Done Suggests Presence of Extra Potentials Corresponding to Repulsive Forces

Operationally Complete Work Done Suggests Presence of Extra Potentials Corresponding to Repulsive Forces

Operational Restrictions on Morphing of Quasi-Geometric 4D Physical Spaces

The symplictic vacuum, exotic quasi particles and gravitational instanton

Contact Info

Product

Resources

About