THE ROLE OF MATHEMATICS IN INVESTIGATING THE NATURE OF REALITY
Some scientists, when thinking about the nature of reality, make a distinction between the Platonic 40 and Aristotelian worldviews 41 : The Platonic view, a revision of which we ascribe to, is that the universe is the physical manifestation of a partly hidden, deeply mathematical reality; while the Aristotelian view is that mathematics is simply an invention of the human mind, developed as a tool used to process direct observations and measurements of the material universe. Michael Rowan-Robinson, Professor of Astrophysics at Imperial College, London, has articulately expressed his belief in the Aristotelian view in his well-written presentation of current observational cosmology, “The Nine Numbers of the Cosmos” 42. :
[The] “Platonic view, that the universe is a manifestation of some kind of ideal, mathematical form, is very fashionable today. Some of its proponents are so astounded by this insight that they are driven to a mystical interpretation. This deep mathematical structure is God, or the mind of God, or is evidence for a creator. But, why isn’t this insight, that the universe is deeply mathematical, sufficient in itself? The additional mystical interpretation doesn’t seem to add anything. There is, anyway, an alternative to this Platonic view, namely that we should think of mathematics as simply an invention of the human mind, which we use as a tool to model our limited perceptions of the universe… This Aristotelian view, which I share, sees the universe as something we try to characterize, measure, describe.”
Mathematical Platonism 43 incorporates three theses: The existence, abstractness and independence of mathematical objects. This means that had there not been any intelligent agents, or had their language, thought, or practices been different, there would still have been mathematical objects. Platonism must be distinguished from the view of Plato in history. ‘Platonism’ is simply inspired by Plato's famous theory of abstract and eternal Forms and Platonism is quite independent of its original historical inspiration. 43. But the Mathematical Platonism we describe is broader than the purely metaphysical ‘Platonism’ because we attempt in our models to incorporate mathematics directly into science recognizing that we can not only apply it empirically but use the equations of consciousness as part of the model.
Platonism implies that reality extends far beyond the physical world and includes objects which aren't part of the causal and spatiotemporal order studied by the physical sciences. Mathematical Platonism argues beyond naturalistic theories of knowledge. If philosophical analysis revealed mathematics to have some strange and surprising consequences, it would be unattractive simply to reject mathematics. With respect, the mathematics we present below are far beyond naturalistic mathematics, and extends to empirical particle physics and postulates beyond that. Therefore, Mathematical Platonism is very powerful as presented below.
As proponents of the Triadic Rotational Vortical Distinction Paradigm (TDVP), Drs. Vernon Neppe and Edward Close differ markedly from Rowan-Robinson. TDVP aligns to some extent with the Platonic worldview, except that is applied not only philosophically, but mainly based on empirical inductive and deductive reasoning and applying feasibility as a method of the Philosophy of Science. 41; 44 We are not therefore ‘astounded’ that the universe is deeply mathematical, - we expected it. And we are not ‘driven’ to ‘mystical interpretation’; we see it as natural, satisfying, and more to the point, explanatory. It explains many things that the materialistic Aristotelian worldview cannot. It is the materialistic Aristotelians who are astounded, and see speculation concerning a conscious substrate as ‘mystical’. The insight is ‘sufficient in itself’, only if we choose not to look any farther. It doesn’t seem to add anything only if you are content to ignore the clues in relativity and quantum physics that cry out for explanation. It doesn’t seem to occur to materialistic scientists steeped in Cartesian dualism that if there were not some kind of (Platonic, if you must) deeper reality, their mathematical descriptions would not work. The challenge to science is to explore the deeper reality. Reality is ‘mystical’ only if you don’t seek to understand it.
Mathematics is not just an abstract human artifact. Far from it, the deep logic of mathematics is invariant because it actually reflects the true underlying logical, intelligent structure of reality. The basic axioms and theorems of mathematics remain unchanged when dimensional transformations are applied. Thus the logic of mathematics is a prime example of invariance.
The only thing that is an artifact of the human mind is the notation developed to convey the mathematic and dimensional logic underlying reality. While it seems that we may invent whatever mathematical procedures we wish, the same invariant mathematical laws would be discovered by any sentient being. They would then be expressed in whatever symbolic language might be applicable.
All mathematical reasoning and description is based on the conscious drawing of distinctions, starting with the distinction of self from other, which then allows the drawing of three types of distinctions in the “other”: distinctions of extent, content and impetus, which are measurable, contain meaning and purpose, and impact on other objects. This reflects the very basic form of mathematical logic which Close developed and we’ve now amplified, the Calculus of Distinctions 10. It is combined with Euclidean and hyper-dimensional geometry, requires a nine-dimensional reality containing the basic “stuff” of the universe, and provides the framework for describing the elementary particles that appear to be the building blocks of the physical universe. This is the logical extension of very important work started by Hermann Minkowski, Albert Einstein, Georg Cantor, Theodor Kaluza, Oskar Klein, and others, who made significant progress explaining physical phenomena in the framework of multidimensional geometry 36; 8.
The third form
Based on the natural structure of number theory and mathematical invariants relating to dimensional domains, we developed TDVP as a paradigm that describes reality as consisting of the substances of mass and energy interacting within nine finite dimensions embedded within infinite domains containing a potentially infinite number of finite logical patterns. Based on clues from relativity and quantum physics, these domains contain the logical organizing structure that guides the evolution of a stable universe. We hypothesize that the infinite substrate may constitute consciousness itself with space and embedded within it, and mass energy also being contained within this infinite consciousness container (which we call “gimmel”) 12.
The brilliant physicist Wolfgang Pauli worked on developing five- and six-dimensional models until 1953, but didn’t publish his findings because he was bothered by the appearance of what he called “…rather unphysical shadow particles.”5 Since Pauli’s , science has discovered that just over 95% of the substance of reality consists of some sort of “shadow stuff”, presently called “dark energy” and “dark matter” 45-48and, not directly detectable through the physical senses or extensions of them. 12
The mathematics and dimensionometry of TDVP indicate that a third form of the “stuff” of reality is actually necessary in the sub-atomic structure of reality for there to be any stable elements in the physical universe; i.e. in order for there to be something rather than nothing.
The logic of TDVP also suggests that this third form of substance may be imbued with the qualities we associate with consciousness. It is interesting to note that late in his life, Pauli, who was regarded as the most brilliant mind of his day by many physicists, including no less brilliant minds than Albert Einstein and Max Born, dreamt of “unifying matter and spirit within the world of physics.”5
The untestable models of contemporary physics
In mainstream physical science, some progress is being made in multi-dimensional concepts with the acceptance of time as a fourth dimension, and the concept of multiple “curled-up” space-like” and “time-like” dimensions of various string theories, which, unfortunately, remain untestable 19-22; 49. Progress in developing testable multidimensional models with consciousness components has been hindered by the acceptance in the academic community of Materialistic Monism which excludes consciousness from the paradigm of physical science and has promoted an increasingly materialistic trend in scientific thinking in recent years. Also, formal education has become institutionalized and has prevented most mainstream physicists from looking outside the box of materialism for the link between consciousness and the physical universe, i.e. between the dimensionometric domains of mind and matter. In the established scientific disciplines, students who ask about the ‘higher intelligence’ spoken of by former scientists like Newton, Planck and Einstein, are often ridiculed by egotistic professors, and told that such ‘mystical’ concepts have no place in science.
TDVP and its pertinence
Guided by the mathematical structure of number theory, Euclidean and non-Euclidean geometry, particle physics data, and new mathematical tools created for the purpose of including the direct interaction of conscious entities with objective reality at the quantum level, we have developed TDVP, a model of reality that includes spinning elementary distinctions existing in nine finite dimensions embedded in a conscious substrate that contains all of the logical patterns, reflected and/or potentially reflected in the structure of the physical universe. Within the theoretical framework of TDVP, we are able to explain a number of phenomena that have remained inexplicable in the standard model of particle physics for decades, including the stability of the triadic combination of quarks 1, the intrinsic spin 28 of Fermions 24; 50, the Cabibbo mixing angle 26, and the step-by-step development of the structures of the Elements of the Periodic Table 1.
TDVP is a paradigm shift that explains why there is something rather than nothing. And, it expands the “Standard Model” of physics 3; 51 to include a new theoretical basis for the biological, psychological and life sciences, as well as for little-understood and rare phenomena like remote viewing, out-of-body experiences (OBEs) and other so-called paranormal or psi phenomena. 52 9 It even provides for a better understanding of spiritual experiences that have been occasionally documented to impinge upon physical reality under certain conditions.
Not surprisingly, TDVP also requires a significant expansion of our understanding of mathematics in general. In 1986, Close realized that George Spencer Brown’s Calculus of Indications, presented in “Laws of Form” 53, re-uniting for the first time, imaginary numbers with symbolic logic, and thus re-aligning the algebras of logic with mathematics, was the first step toward integrating number theory, geometry and mathematical physics into a comprehensive logical framework capable of describing and explaining physical, chemical, biological, neurological, psychological, and even spiritual phenomena.
We adapted Brown’s Laws of Form, creating the Calculus of Dimensional Distinctions (CoDD), a comprehensive mathematics dealing with the functions of consciousness, and applied it to some long-standing cosmological puzzles. Some of the results were published in “Infinite Continuity, a Theory Unifying Relativity and Quantum Physics” 35 in 1990, and in “Transcendental Physics, Integrating the search for Truth” 36. By introducing appropriate additional notational structure, the Calculus of Distinctions was refined to become the Calculus of Dimensional Distinctions (CoDD) in 2003 38. From 2008 to the present, we amplified this mathematical tool, recognizing it as the logical basis integrating all mathematics and applications to physical and spiritual reality has been systematically applied to develop the mathematical basis of TDVP. 10
1. Close ER, Neppe VM: The thirteenth conundrum: introducing an important new concept, TRUE units—Triadic Rotational Units of Equivalence. IQNexus Journal 7: 2; 60-71, 2015.
2. Neppe VM, Close ER: Explaining psi phenomena through TDVP principles: References (Part 15). IQNexus Journal 7: 3; 140-153, 2015.
3. Close ER, Neppe VM: Translating fifteen mysteries of the universe by applying a nine dimensional spinning model of finite reality: A perspective, the standard model and TDVP. Part 1. Neuroquantology 13: 2; 205-217, 2015.
4. Neppe VM, Close ER: A Proposed Theory of Everything that works: How the Neppe-Close Triadic Dimensional Distinction Vortical Paradigm (TDVP) model provides a metaparadigm by applying nine-dimensional finite spin space, time and consciousness substrates and the transfinite embedded in the infinite producing a unified reality. IQNexus Journal 16: 3; 1-54, 2014.
5. Neppe VM, Close ER: The Triadic Dimensional Distinction Vortical Paradigm (TDVP): The nine-dimensional finite spin metaparadigm embedded in the infinite Dynamic International Journal of Exceptional Creative Achievement 1401: 1401; 4001-4041, 2014.
6. Neppe VM, Close ER: TDVP: a paradigm shift that works —how the Triadic Dimensional Distinction Vortical Paradigm challenges conventional scientific thinking and explains reality. Telicom 27: 1; 24-42, 2014.
7. Close ER, Neppe VM: Fifteen mysteries of 9 dimensions: on Triadic Rotational Units of Equivalence and new directions, Part III. Neuroquantology 13: 4; , 2015.
8. Neppe VM, Close ER: Reality begins with consciousness: a paradigm shift that works (5th Edition) Fifth Edition. Seattle: Brainvoyage.com, 2014.
9. Neppe VM, Close ER: How some conundrums of reality can be solved by applying a finite 9-D spinning mode1. IQNexus Journal 7: 2; 7-88, 2015.
10. Close ER, Neppe VM: The Calculus of Distinctions: A workable mathematicologic model across dimensions and consciousness. Dynamic International Journal of Exceptional Creative Achievement 1210: 1210; 2387 -2397, 2012.
11. Close ER, Neppe VM: Speculations on the “god matrix”: The third form of reality (gimmel) and the refutation of materialism. WISE Journal 4: 4; 3-21, 2015.
12. Neppe VM, Close ER: The fourteenth conundrum: Applying the proportions of Gimmel to Triadic Rotational Units of Equivalence compared to the proportions of Dark Matter plus Dark Energy: Speculations in cosmology. IQNexus Journal 7: 2; 72-73, 2015.
13. Close ER, Neppe VM: The fifth conundrum: applying mathematical dimensional extrapolation non-specifically in our dimensional calculations to demonstrate multidimensionality. IQNexus Journal 7: 2; 34-38, 2015.
14. Anonymous). Pythagorean theorem. 2011, from http://en.wikipedia.org/wiki/Pythagorean_theorem. 2011.
15. Kleiner I: From Fermat to Wiles: Fermat's last theorem becomes a theorem. Elem. Math 55: 19-37, 2000.
16. Aczel A: Fermat's last theorem: unlocking the secret of an ancient mathematical problem. New York: Four Walls Eight WIndows, 1996.
17. Close ER: Appendix B: 1965 Proof of Fermat's Last Theorem, in The Book of Atma. Edited by. New York: Libra Publishers. pp. 93-99 1977.
18. Morgart E: The theory of everything has nine dimensions: The sparkling diamond and the quanta jewel turn quantum physics and the nine-pronged world of consciousness— on its ear. USA Today Magazine: 1 (January); 66-68, 2014.
19. Brax P). The supermoduli space of Matrix String Theory. 2011, from http://cdsweb.cern.ch/record/411941/files/9912103.pdf. 2011.
21. Schwarz P). The official string theory website: Basics. from http://www.superstringtheory.com/basics/index.html and http://www.superstringtheory.com/forum. 2003
22. Figueroa-O'Farrill JM). String theory in a nutshell. from http://www.strings.ph.qmw.ac.uk/WhatIs/Nutshell.html. 2003.
24. Close ER, Neppe VM: The seventh conundrum: the mathematical derivation of the Cabibbo mixing angle in fermions. IQNexus Journal 7: 2; 41-43, 2015.
25. Close ER, Neppe VM: The sixth conundrum: theoretical knowledge on deriving the Cabibbo angle. IQNexus Journal 7: 2; 39-40, 2015.
26. Close ER, Neppe VM: The Cabibbo mixing angle and other particle physics paradoxes solved by applying the TDVP multidimensional spin model. IQNexus Journal 14: 1; 13-50, 2014
27. Neppe VM, Close ER: Translating some conundrums of the universe by applying a 9 dimensional spinning model of finite reality: References. IQNexus Journal 7: 2; 84-88, 2015.
28. Close ER, Neppe VM: The eighth conundrum: angular momentum and intrinsic electron spin. IQNexus Journal 7: 2; 44-45, 2015.
29. Close ER, Neppe VM: The tenth conundrum: weak universality based on the 9D findings. IQNexus Journal 7: 2; 50, 2015.
30. Neppe VM, Close ER: Reality begins with consciousness: a paradigm shift that works (6th Edition) Sixth Edition. Seattle: Brainvoyage.com, 2016 (In Press).
31. Neppe VM, Close ER: Reality begins with consciousness: a paradigm shift that works (Second Edition) 1 Edition. Seattle: Brainvoyage.com, 2012.
32. Neppe VM, Close ER: The third conundrum: How the core dimensional calculations in the Neppe-Close Triadic Dimensional Distinction Vortical Paradigm (TDVP) contributes to a workable model of reality. IQNexus Journal 7: 2; 24-30, 2015.
33. Von Neumann J: Mathematical Foundations of Quantum Mechanics 1 Edition. Princeton, NJ: Princeton University Press, 1932.
35. Close ER: Infinite continuity: a theory integrating relativity and quantum physics. Los Angeles: Paradigm Press, 1990.
37. Neppe VM, Close ER: Reality begins with consciousness: a paradigm shift that works (First Edition) 1 Edition. Seattle: Brainvoyage.com, 2012.
38. Brandin V, Close ER: The calculus of dimensional distinctions: Elements of mathematical theory of intellect. Moscow: 2003.
39. Neppe VM, Close ER: EPIC consciousness: A pertinent new unification of an important concept. Journal of Psychology and Clinical Psychiatry 1: 00036: 6; 1-14, 2014.
41. Neppe VM, Close ER: Interpreting science through feasibility and replicability: Extending the scientific method by applying “Lower Dimensional Feasibility, Absent Falsification” (LFAF). WISE Journal 4: 3; 3-37, 2015.
43. Editors: Platonism in the philosophy of mathematics, in Stanford encyclopedia of philosophy http://plato.stanford.edu/entries/platonism-mathematics/. Stanford, California.2013.
44. Neppe VM, Close ER: The second conundrum: Falsifiability is insufficient; we need to apply feasibility as well Lower Dimensional Feasibility, Absent Falsification (LFAF) as a scientific method IQNexus Journal 7: 2; 21-23, 2015.
45. Collaborators P: Planck Publications: Planck 2015 Results European Space Agency. Astro-ph CO Febr, 2015 (submitted).
46. Cowen R, Castelvecchi D: European probe shoots down dark-matter claims. Nature Physics Doi:10.1038/nature.2014.16462, 2014.
47. Collaborators P: Planck 2013 results. XVI. Cosmological parameters. Astro-ph.CO arXiv:1303.5076, 2013.
48. Collaborators P: Planck 2013 results. I. Overview of products and scientific results. Astro-ph.CO ArXiv:1303.5062, 2013.
49. Zimmerman Jones A). Hawking and Hertog: String Theory can explain dark energy. June 20, 2006, from http://physics.about.com/b/2006/06/20/hawking-hertog-string-theory-can-explain-dark-energy.htm. 2006.
50. Close ER, Neppe VM: Mathematical and theoretical physics feasibility demonstration of the finite nine dimensional vortical model in fermions. Dynamic International Journal of Exceptional Creative Achievement 1301: 1301; 1-55, 2013.
51. Neppe VM, Close ER: Limitations of the standard model of physics. Dynamic International Journal of Exceptional Creative Achievement 1201: 1201; 2001-2010, 2012.
52. Neppe VM, Close ER: Explaining psi phenomena by applying TDVP principles: A preliminary analysis IQNexus Journal 7: 3; 7-129, 2015.
54. Einstein A). Collected quotes from Albert Einstein. from http://rescomp.stanford.edu/~cheshire/EinsteinQuotes.html. 2015.
56. Anonymous). On truth and reality: The wave structure of matter (WSM) in space: Physics. from http://www.spaceandmotion.com/Physics.htm. 2015.
58. Anonymous). On truth and reality: The wave structure of matter (WSM) in space: Albert Einstein: God, religion and theology: Explaining Einstein's understanding of God as the universe / reality. from http://spaceandmotion.com/albert-einstein-god-religion-theology.htm. 2015.
60. Stapp HP: Quantum physics and the physicist’s view of nature: philosophical implications of Bell’s Theorem, in The world view of contemporary physics. Edited by Kitchener RE. Albany, NY SUNY Press. 1988.
61. Tittel W, Brendel J, Zbinden H, et al.: Violation of Bell's inequalities by photons more than 10 km apart. Physical Review Letters 81: 3563-3566, 1998.
62. Acin A, Chen JL, Gisin N, et al.: Coincidence bell inequality for three three-dimensional systems. Phys. Rev. Lett 92: 92; 250404-250408, 2004.
63. Aspect A, Grangier P, Roger G: Experimental realization of Einstein-Podolsky-Rosen-Bohm Gedanken experiment: a new violation of Bell's inequalities. Physical Review Letters 49: 2; 91-94, 1982.
64. Marcikic I, De Riedmatten H, Tittel W, et al.: Distribution of time-bin entangled qubits over 50 km of optical fiber. Physical Review Letters 93: 18; 180503-180507, 2004.
65. Neppe VM: Vortex N-dimensionalism: a philosophical–scientific paradigm and alternative to mind-body theories. Seattle, WA, USA: 2003.
67. Neppe VM, Close ER: The fifteenth conundrum: Applying the philosophical model of Unified Monism: Returning to general principles. IQNexus Journal 7: 2; 74-78, 2015.
68. Tegmark M: Our mathematical universe: My quest for the ultimate nature of reality. New York: Knopf, 2014.
69. Close ER, Neppe VM: Translating fifteen mysteries of the universe: Nine dimensional mathematical models of finite reality, Part II. Neuroquantology 13: 3; 348-360, 2015.
70. Close ER, Neppe VM: The ninth conundrum: two different solutions to electron rotation IQNexus Journal 7: 2; 46-49, 2015.
73. Grünbaum A: The degeneration of Popper's theory of demarcation, in Collected Works, Vol. 1. Edited by Kupka T. New York Oxford University Press. pp. 43–61 2013 (from 1989).
75. Close ER, Neppe VM: Specific challenges involving the Close and Neppe research: The fourth conundrum: applying the Triadic Dimensional Distinction Vortical Paradigm (TDVP) constructs in our dimensional calculations. IQNexus Journal 7: 2; 31-33, 2015.
76. Close ER, Neppe VM: The twelfth conundrum: The thought experiment replication of 9 dimensional spin. IQNexus Journal 7: 2; 57-59, 2015.
77. Neppe VM, Close ER: Reality Begins with Consciousness: Survival and Life itself —Is There A How? Proceedings of 2013 Conference Academy for Spiritual and Consciousness Studies.: 1-17, 2013.
78. Wheeler JA: Information, physics, quantum: The search for links, in Complexity, Entropy and the Physics of Information. Edited by Zurek W. Reading: Addison-Wesley. pp. 3–28 1990.
79. De Bianchi MS: Quantum measurements are physical processes. Comment on “Consciousness and thedouble-slit interference pattern: Six experiments", By Dean Radin et al. [Physics Essays 25, 2 (2012)]. http://arxiv.org/abs/1207.0804, 2012, submitted.
80. Radin D: Consciousness and the double-slit interference pattern: Six experiments. Physics Essays 25: 2; 157– 171, 2012.
82. Stachel J: Einstein's miraculous year: five papers that changed the face of physics. Princeton: Princeton University Press, 2005.
83. Einstein A: Explanation of the photoelectric effect with use of the quantum hypothesis of Planck: Concerning a heuristic point of view toward the emission and transformation of light. Annalen der Physik 17: 132-148, http://einsteinpapers.press.princeton.edu/vol2-trans/100 1905.
84. McElhinney MW, Taylor SR, Stevenson DJ: Limits to the expansion of earth, moon, mars, and mercury and to changes in the gravitational constant. Nature 271: 316-321, 1978.
85. Eddington A: The expanding universe: astronomy's 'great debate', 1900-1931. Cambridge: Press Syndicate of the University of Cambridge, 1933.
87. Liddle AR, Lyth DH: Cosmological inflation and large-scale structure. Cambridge: Cambridge University Press, 2000.
88. Einstein A: Relativity, the special and the general theory—a clear explanation that anyone can understand. London: Routledge and Kegan Paul, 2001.
89. Einstein A: Relativity, the special and the general theory 15 Edition. New York: Crown Publishers, 1952.
92. Rauscher EA, Targ R: The speed of thought: Investigation of a complex space-time metric to describe psychic phenomena. Journal of Scientific Exploration 15: 3; 331-354, http://www.scientificexploration.org/jse/abstracts/v15n3a2.html 2001.
93. Neppe VM, Close ER: Relative non-locality - key features in consciousness research (seven part series). Journal of Consciousness Exploration and Research 6: 2; 90-139, 2015.
94. Neppe VM, Close ER: The concept of relative non-locality: Theoretical implications in consciousness research. Explore (NY): The Journal of Science and Healing 11: 2; 102-108, http://www.explorejournal.com/article/S1550-8307(14)00233-X/pdf 2015.
95. Close ER, Neppe VM: The eleventh conundrum: The double Bell normal curve and its applications to electron cloud distribution IQNexus Journal 7: 2; 51-56, 2015.
96. Longuet-Higgins MS, Miller JCP: Uniform polyhedra. Philosophical Transactions of the Royal Society of London. Series A. Mathematical and Physical Sciences (The Royal Society) 246: 916; 401–450, 1954.
100. Anonymous). Copenhagen interpretation. Retrieved 7/3/2011, 2011, from http://en.wikipedia.org/wiki/Copenhagen_interpretation. 2011.
101. Darling D: Cosmic abundance of elements, in Encyclopedia of science. (http://www.daviddarling.info/encyclopedia/E/elcosmic.html).2015.
102. Stewart D: The chemistry of essential oils made simple: God’s love manifest in molecules. Marble Hill, MO: Care publications, 2005.
103. Jue T: Quantum Mechanic Basic to Biophysical Methods: Fundamental Concepts in Biophysics. . Berlin: Springer, 2009.
105. Schrödinger E: Probability relations between separated systems. Proceedings of the Cambridge Philosophical Society 32: 3; 446-452, 1936.
106. Schrödinger E: Discussion of probability relations between separated systems. Proceedings of the Cambridge Philosophical Society 31: 4; 555-563, 1935.
109. Lenntech: Silicon (Si) and water: Silicon and water: reaction mechanisms, environmental impact and health effects, in Encyclopedia of science. (http://www.lenntech.com/periodic/water/silicon/silicon-and-water.htm).2015.
110. Darling D: Silicon-based life, in Encyclopedia of science. (http://www.daviddarling.info/encyclopedia/E/elcosmic.html).2015.
111. National Earth Science Teachers Association: Windows to the universe: The elements of life http://www.windows2universe.org/earth/geology/life_elements.html,2015.
112. Wolfram research: Abundance in the Universe of the elements: Mathematica’s element data function periodictable.com/Properties/A/UniverseAbundance.html,2015.
113. Einstein A: Fundamental ideas and methods of the Theory of Relativity, presented in their development Papers 7: 31, 1920
114. Einstein A, Podolsky B, Rosen N: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47: 10; 777-780, 1935.
115. Rauscher E: Multidimensional properties of consciousness and some laws of reality. PSI Research 2: 53-66, 1983.
116. Neppe VM, Close ER: Multidimensional time and 3S-3T-3C (Part 13-J). IQNexus Journal 7: 3; 136-138, 2015.