2012daily's blog
Whilst it is true that a great deal of the details of the experimental science which is presented in programmes presented by Cox, Al-Khalili and others is correct, the overall metaphysical perspective within which these details are presented is for the most part appallingly incorrect because they do not accord with the details of modern physics, quantum physics in particular. The metaphysical framework which underpins the general worldview of the programmes presented by both Cox and Al-Khalili largely corresponds to what Stapp refers to as a ‘known-to-be-false’ materialist perspective. The inappropriate materialist metaphysical dogmatism which underlies such programmes leads to some silly nonsense being presented without any challenge. This article cuts through the metaphysical madness.
Reflections on Materialist Metaphysical Dogmatism (Part I)
Reflections on Materialist Metaphysical Dogmatism (Part II)
Reflections on Materialist Metaphysical Dogmatism (Part III)
We investigate a dynamical basis for the Riemann hypothesis (RH) that the non-trivial zeros of the Riemann zeta function lie on the critical line x = ½. In the process we graphically explore, in as rich a way as possible, the diversity of zeta and L-functions, to look for examples at the boundary between those with zeros on the critical line and otherwise. The approach provides a dynamical basis for why the various forms of zeta and L-function have their non-trivial zeros on the critical line. It suggests RH is an additional unprovable postulate of the number system, similar to the axiom of choice, arising from the asymptotic behavior of the primes as n→∞.
Part I of this article includes: Introduction; The Impossible Coincidence; Primes and Mediants - Equivalents of RH; A Mode-Locking View of Dirichlet L-functions and their Counterexamples; Widening the Horizon to other types of Zeta and L-Function; L-functions of Elliptic Curves; and Modular and Automorphic Forms.
Part II of this article includes: Functions with Functional Equations but no Euler Product; A Central Showcase: Modular Forms Meeting Elliptic Functions; Seeking Examples with Product Formulae; Dynamically Manipulating the Non-trivial Zeros in and out of the ‘Forbidden Zone’; Finding Coefficient Paths with On-Critical Zeros; Conclusion; Appendix 1: Mediants and Mode-Locking; Appendix 2: Finite Fields and Square Roots of -1; Appendix 3: Derivation of Davenport Heilbronn; Appendix 4: A Comparison of Computational Methods; and Appendix 5: Useful Sage and PARI-GP Commands.
The quadratic Mandelbrot set has been referred to as the most complex and beautiful object in mathematics and the Riemann Zeta function takes the prize for the most complicated and enigmatic function. Here we elucidate the spectrum of Mandelbrot and Julia sets of Zeta, to unearth the geography of its chaotic and fractal diversities, combining these two extremes into one intrepid journey into the deepest abyss of complex function space.
Part I of this article includes: Introduction; A Bridge over Turbulent Waters; Chasing the Critical Points and their Parameter Planes; and A: The Additive World - 1: Far East - the Asymptotically-Critical Plateau; 2: Real Critical Points, from Miniscule to Vast; and (3) Shang-ri-La – The Unreal Criticals.
Part II of this article includes: B: The Multiplicative Universe; and Appendix: Fractal Geography of Eta, Xi and Dirichlet L-functions; and Introduction for Non-mathematicians.
This paper seeks to explore whether the Riemann hypothesis falls into a class of putatively unprovable mathematical conjectures, which arise as a result of unpredictable irregularity. It also seeks to provide an experimental basis to discover some of the mathematical enigmas surrounding these conjectures, by providing Matlab and C programs which the reader can use to explore and better understand these systems (see appendix 6 in Part II).
Part I of this article includes: Introduction; The Riemann hypothesis and the Zeta Function; and The Quantum Chaos Connection.
Part II of this article includes: Julia and Mandelbrot sets of the Riemann Zeta Function; The Syracuse Shibboleth; and Appendices: 1. Moments of Zeta; 2. Zeta Bernoulli Numbers; 3. Twin Prime Distribution; 4. Other Dirichlet series for zeta; 5. Lanczos approximation to Gamma; 6. Mac XCode Viewer and Matlab Toolbox for Figures; and 7. A Formula for Depicting the Derivative of Zeta.
Essay I contains: A Short Story; Much More Wrong Than ...; Good Life ...; and The Poor Shall Always Be with Us?
Essay II contains: The Approach To Be Followed; Three Questions followed by ... another Four Ones ...; A Few Starting Propositions; the End of Time; and Twice Unknown ....
Essay III contains: Without Precedent in Human History; Two Aspects of Human Awareness? Two Way Interactions ...; Research versus Development ...; The Ways of the Good Old Baron von Mnchausen ...; and Sorry, but Belief and Faith Are Good only for....
Essay IV contains: The Interplay between Our Affective and Cognitive Beings ...; Mere Sensation of Truth = Truth, or Is It Indeed? Back to C-S, and Starting with Its First Chapter; and On Chapter Two: Does God Exist?
Essay V contains: Extended Harmony, and Growing Up at Last ...; On Chapter Three: Can There Be an Atheist Spirituality ? On Mysticism and Mystery: For How Longer Are We to Be Bound to Unfortunately Misplaced Words?
Essay V contains: Extended Harmony, and Growing Up at Last ...; On Chapter Three: Can There Be an Atheist Spirituality ? On Mysticism and Mystery: For How Longer Are We to Be Bound to Unfortunately Misplaced Words?
Essay VI contains: Immanensity? Lost on an ... Ocean of Feeling ...? Oh again a Mystical Experience ... Gnosticism, a Rather Irresistible and Better Human Temptation ...; and A Finger....
Essay VII contains:Oh, that I, ... Problems with I, New and Old ...; And Again, the Same Finger ...; To Bring, or Not, Forth What Is Within You ...; A Question ...; Is it a Mystery? And Conclusions.
Articles
Scientific Pathway for Compassion (by Pradeep B. Deshpande)
The Conscious or Unconscious Creation of Experiential Reality (by Steven E. Kaufman)
Glocalisation as a Key Human Survival Technology: Towards a Fractal Logic for Growing Peaceful Futures through an Archaic Renaissance (by Paul Wildman, Iona Miller)
Mystical Experiences
A Cosmic Insight (by Robert W. Campbell)
Essays
About Truth and Bias (by Robert W. Campbell)
The Experiential Basis of the Spiritualist/Materialist Duality (by Steven E. Kaufman)
The Either/Or Nature of the Individual's Mode of Being as Allowing or Resistant in the Creation of Experiential Reality (by Steven E. Kaufman)
The Necessity of God & the Uncreated Whole (by Himangsu S. Pal)
Where and How Do They Happen? (by Elemer E. Rosinger): This is a two part paper. The first part, written somewhat earlier, presented standard processes which cannot so easily be accommodated within what are presently considered as physical type realms. The second part further elaborates on that fact. In particular, it is argued that quantum superposition and entanglement may better be understood in extensions of what we usually consider as physical type realms, realms which, as it happens, have so far never been defined precisely enough.
On October 11, 2012, the Nobelprize.org has announced that "[t]he Nobel Prize in Literature 2012 was awarded to Mo Yan 'who with hallucinatory realism merges folk tales, history and the contemporary.'"
Congratulations to all the Recipients!
Articles
Science of Compassion (by Pradeep B. Deshpande)
The Individual's Conscious or Unconscious Creation of Experiential Reality (by Steven E. Kaufman)
On Quantum Consciousness Mechanics (by Cebrail H. Oktar)
What Do We Feel When We ‘Feel’ Time ‘Passing’? (by Peter J. Riggs)
Essays
The Experiential Basis of the Spiritualist/Materialist Duality (by Steven E. Kaufman)
Who Will Tell Us How Space & Time Are Non-existent for Light? (by Himangsu S. Pal)
On October 9, 2012, the Nobelprize.org has announced that "[t]he Nobel Prize in Physics 2012 was awarded jointly to Serge Haroche and David J. Wineland 'for ground-breaking experimental methods that enable measuring and manipulation of individual quantum systems.'"
Congratulations to all the Recipients!
