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Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s——Part I. Hyperbolic Fibonacci and Lucas Functions and “Golden” Fibonacci Goniometry
(Articles)
Alexey Stakhov
,
Samuil Aranson
Applied Mathematics
Vol.2 No.1
, January 30, 2011
DOI:
10.4236/am.2011.21009
6,860
Downloads
13,033
Views
Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem—Part II. A New Geometric Theory of Phyllotaxis (Bodnar’s Geometry)
(Articles)
Alexey Stakhov
,
Samuil Aranson
Applied Mathematics
Vol.2 No.2
, February 25, 2011
DOI:
10.4236/am.2011.22020
6,588
Downloads
12,571
Views
Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem—Part III. An Original Solution of Hilbert’s Fourth Problem
(Articles)
Alexey Stakhov
,
Samuil Aranson
Applied Mathematics
Vol.2 No.3
, March 24, 2011
DOI:
10.4236/am.2011.23033
6,740
Downloads
13,109
Views
Citations
Magic Numbers of the Great Pyramid: A Surprising Result
(Articles)
Hans Hermann Otto
Journal of Applied Mathematics and Physics
Vol.8 No.10
, October 10, 2020
DOI:
10.4236/jamp.2020.810154
1,858
Downloads
23,093
Views
Citations
Quantum Entanglement as a Consequence of a Cantorian Micro Spacetime Geometry
(Articles)
Mohamed S. El Naschie
Journal of Quantum Information Science
Vol.1 No.2
, September 30, 2011
DOI:
10.4236/jqis.2011.12007
10,294
Downloads
21,180
Views
Citations
Chaotic Fractals at the Root of Relativistic Quantum Physics and Cosmology
(Articles)
L. Marek-Crnjac
,
M. S. El Naschie
,
Ji-Huan He
International Journal of Modern Nonlinear Theory and Application
Vol.2 No.1A
, March 29, 2013
DOI:
10.4236/ijmnta.2013.21A010
7,668
Downloads
13,758
Views
Citations
This article belongs to the Special Issue on
Chaos
The Mathematics of Harmony, Hilbert’s Fourth Problem and Lobachevski’s New Geometries for Physical World
(Articles)
Alexey Stakhov
,
Samuil Aranson
Journal of Applied Mathematics and Physics
Vol.2 No.7
, June 13, 2014
DOI:
10.4236/jamp.2014.27056
4,110
Downloads
6,128
Views
Citations
Astronomy and Sun Cult in the Swedish Bronze Age
(Articles)
Nils-Axel Mörner
,
Bob G. Lind
International Journal of Astronomy and Astrophysics
Vol.8 No.2
, May 9, 2018
DOI:
10.4236/ijaa.2018.82010
2,654
Downloads
9,530
Views
Citations
Reciprocity Relation between the Mass Constituents of the Universe and Hardy’s Quantum Entanglement Probability
(Articles)
Hans Hermann Otto
World Journal of Condensed Matter Physics
Vol.8 No.2
, May 17, 2018
DOI:
10.4236/wjcmp.2018.82003
1,308
Downloads
2,519
Views
Citations
A Model of Dark Matter and Dark Energy Based on Relativizing Newton’s Physics
(Articles)
Ramzi Suleiman
World Journal of Condensed Matter Physics
Vol.8 No.3
, August 31, 2018
DOI:
10.4236/wjcmp.2018.83009
1,473
Downloads
5,157
Views
Citations
Non Degeneration of Fibonacci Series, Pascal’s Elements and Hex Series
(Articles)
Balasubramani Prema Rangasamy
Advances in Pure Mathematics
Vol.10 No.7
, July 21, 2020
DOI:
10.4236/apm.2020.107024
780
Downloads
2,000
Views
Citations
A New Hypothesis on the Dark Matter
(Articles)
A. Bianchi
,
G. Guido
Journal of High Energy Physics, Gravitation and Cosmology
Vol.7 No.2
, April 22, 2021
DOI:
10.4236/jhepgc.2021.72033
573
Downloads
2,218
Views
Citations
Could There Be a Common Property Method for Expressions of Both These Constant Numbers Such as Faraday Constant Number and Einstein Constant Number with Nucleotide Bases?
(Articles)
Tahir Ölmez
Open Access Library Journal
Vol.12 No.2
, February 24, 2025
DOI:
10.4236/oalib.1112950
35
Downloads
403
Views
Citations
When Landscape Becomes Geometry II: Multi-Anchor Fibonacci Spiral Modeling in the Bosnian Valley of the Pyramids
(Articles)
Sam Osmanagich
,
Massimo Guzzinati
,
Richard Hoyle
International Journal of Geosciences
Vol.17 No.3
, March 31, 2026
DOI:
10.4236/ijg.2026.173011
57
Downloads
315
Views
Citations
A Different Approach to High-Tc Superconductivity: Indication of Filamentary-Chaotic Conductance and Possible Routes to Room Temperature Superconductivity
(Articles)
Hans Hermann Otto
World Journal of Condensed Matter Physics
Vol.6 No.3
, August 22, 2016
DOI:
10.4236/wjcmp.2016.63023
2,621
Downloads
4,933
Views
Citations
Kähler Dark Matter, Dark Energy Cosmic Density and Their Coupling
(Articles)
Mohamed S. El Naschie
Journal of Modern Physics
Vol.7 No.14
, October 31, 2016
DOI:
10.4236/jmp.2016.714173
20,839
Downloads
22,619
Views
Citations
Resolution of Hardy’s Paradox within Spacetime Physics and the Ithaca Interpretation of Quantum Mechanics
(Articles)
Mohamed S. El Naschie
World Journal of Condensed Matter Physics
Vol.8 No.2
, March 28, 2018
DOI:
10.4236/wjcmp.2018.82002
14,439
Downloads
16,390
Views
Citations
Tiêu Equation Experimentation of Understanding by Energy Transfer Quantum Mechanics
(Articles)
Huu S. Tieu
,
Martin F. Loeffler
Natural Science
Vol.15 No.3
, March 22, 2023
DOI:
10.4236/ns.2023.153008
357
Downloads
3,487
Views
Citations
The Golden Ratio Theorem: A Framework for Interchangeability and Self-Similarity in Complex Systems
(Articles)
Alessandro Rizzo
Advances in Pure Mathematics
Vol.13 No.9
, September 20, 2023
DOI:
10.4236/apm.2023.139038
746
Downloads
4,427
Views
Citations
Fine-Structure Constant at Low and High Energies
(Articles)
Lovemore Mamombe
Journal of Applied Mathematics and Physics
Vol.12 No.12
, December 11, 2024
DOI:
10.4236/jamp.2024.1212250
106
Downloads
1,229
Views
Citations
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