2007
DOI: 10.1007/s10509-007-9557-x
|View full text |Cite
|
Sign up to set email alerts
|

Discrete Scale Relativity

Abstract: ABSTRACT:The possibility that global discrete dilation invariance is a fundamental symmetry principle of nature is explored. If the discrete self-similarity observed in nature is exact, then the Principle of General Covariance needs to be broadened in order to accommodate this form of discrete conformal invariance, and a further generalization of relativity theory is required.2

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

0
16
0

Year Published

2011
2011
2022
2022

Publication Types

Select...
7
1

Relationship

0
8

Authors

Journals

citations
Cited by 10 publications
(16 citation statements)
references
References 3 publications
0
16
0
Order By: Relevance
“…Figure 1 is an image of the primitive structure of every material object including the isolated atom, "sub-atomic" particle, molecule, cell, organism, animate and inanimate forms and, of course, the cosmos. The literature on discrete scale relativity such as Oldershaw (2007), Fedosin (2017 and Wikiversity, might seem to lack direct bearing to Figure 1 and that informs our goal in this paper -to show that the "Static Sky" makes the most powerful addition to existing evidences that conformal invariance is a fundamental attribute of nature. From the atom to the cosmos, matter intrinsically comprises wave and particulate forms orthogonally positioned as shown in Figure 1; it informs observationals like relative orthogonality of major axes of the developing chick and the egg shell or the mammalian embryo and the womb, its presence at the level of the cell has been identified with cosmological structures, Oldershaw (2014), Berry et al (2016).…”
Section: The Static Sky and Universal Conformal Invariancementioning
confidence: 85%
“…Figure 1 is an image of the primitive structure of every material object including the isolated atom, "sub-atomic" particle, molecule, cell, organism, animate and inanimate forms and, of course, the cosmos. The literature on discrete scale relativity such as Oldershaw (2007), Fedosin (2017 and Wikiversity, might seem to lack direct bearing to Figure 1 and that informs our goal in this paper -to show that the "Static Sky" makes the most powerful addition to existing evidences that conformal invariance is a fundamental attribute of nature. From the atom to the cosmos, matter intrinsically comprises wave and particulate forms orthogonally positioned as shown in Figure 1; it informs observationals like relative orthogonality of major axes of the developing chick and the egg shell or the mammalian embryo and the womb, its presence at the level of the cell has been identified with cosmological structures, Oldershaw (2014), Berry et al (2016).…”
Section: The Static Sky and Universal Conformal Invariancementioning
confidence: 85%
“…The number 63 comes from Russell and Russell (1981)'s revelation that nature's (matter and spatial) periodicities comprise sixty three elements, the remaining elements classify with what they term "isotopes". In line with universal conformal invariance, Oldershaw (2007), Wikiversity (2017), an 'element' in the present context identifies with a spacetime quantum within a periodic envelope containing hierarchical quanta sizes that may scale from the atom to the universe. An ideal example of a cosmological periodic envelope containing requisite number of elements is provided in the aligned radio galaxies ELAIS N1, Taylor and Jagannathan (2016).…”
Section: Evaluation Of Cosmic Parameters: the Cosmological Periodic Unitmentioning
confidence: 90%
“…Although (12) is a constant velocity field, a look at Figure 2 suggests that H o necessarily varies with location and time, i.e., ( , ). Given nature's conformal invariance, Oldershaw (2007), Wikiversity (2017), ( , ) evolution should correspond to atomic mass evolution for which, in terms of frequency, we have, Obande (2016a),…”
Section: The Hubble Constantmentioning
confidence: 99%
“…The arguments presented below are based on the Self-Similar Cosmological Paradigm (SSCP) [1][2][3][4][5][6] which has been developed over a period of more than 30 years, and can be unambiguously tested via its definitive predictions 1,4 concerning the nature of the galactic dark matter. Briefly, the discrete self-similar paradigm focuses on nature's fundamental organizational principles and symmetries, emphasizing nature's intrinsic hierarchical organization of systems from the smallest observable subatomic particles to the largest observable superclusters of galaxies.…”
Section: Introduction a Preliminary Discussion Of Discrete Cosmolmentioning
confidence: 99%
“…We can measure stellar ν values quite accurately and we can predict that H = (Λ D+1 h) or about 5.86 x 10 47 erg sec in accordance with the discrete scale invariance of DSR. 5 If there were a way to define the Stellar Scale E-levels, then the proposed E = Hν relation could be empirically tested.…”
Section: Discussionmentioning
confidence: 99%