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John Ting

The University of Queensland, Australia, Dental and Medical Surgery, Mathematics and Medical Researcher

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Dr. John Ting is a Researcher on Fundamental Laws of Nature. His novel Hybrid integer sequence A228186 was published in The On-Line Encyclopedia of Integer Sequences in 2013. From 2016 to 2019, he carries out extensive mathematical research with published papers in Number theory on Riemann Hypothesis, Polignac's and Twin prime conjectures. He lives in Australia with his wife and five children. He possesses Medical degree, General Practice qualification, Primary Anesthesia Fellowship Examination and Opioid Replacement license. Before suspending from medical practice on March 7, 2019; his work experiences involve the specialty area of Anesthesia, Intensive Care, Pain Medicine, Medicinal Cannabis and Addiction Medicine. His medical publication in 2012 as primary author with the Professor of Nephrology as secondary author include "Supramaximal elevation in B-type natriuretic peptide and its N-terminal fragment levels in anephric patients with heart failure: a case series".
Supervisors: John Ting’s Self-funded Research Project
Phone: +61417751859
Address: Dental and Medical Surgery, 729 Albany Creek Road, Albany Creek Q4035, Australia

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Papers by John Ting

Using Novel Fic-fac Ratio to Mathematically Model Covid-19 and Solve Riemann Hypothesis, Polignac’s and Twin Prime Conjectures

viXra, 2020

COVID-19 originated from Wuhan, China in December 2019. Declared by World Health Organization (WH... more COVID-19 originated from Wuhan, China in December 2019. Declared by World Health Organization (WHO) on March 11, 2020; COVID-19 pandemic has resulted in unprecedented negative global impacts on health and economy. With China, United States of America and WHO playing crucial roles; international cooperation is required to effectively combat this deadly pandemic which is loosely and intuitively perceived as "Incompletely Predictable". We mathematically model COVID-19 and also solve the [unconnected] below-mentioned related open problems in Number theory using our novel and versatile Fic-Fac Ratio in a valid and consistent manner. Our innovative Information-complexity conservation which is computed as Information-based complexity constitutes an unique all-purpose [quantitative and qualitative] analytic tool associated with Mathematics for Incompletely Predictable problems. These problems can literally be perceived as "complex systems" containing well-defined Incompl...

Rigorous proof for Riemann Hypothesis obtained by adopting Algebra-Geometry Approach in Geometric Langlands Program

arXiv, 2021

The 1859 Riemann hypothesis conjectured all nontrivial zeros in Riemann zeta function are uniquel... more The 1859 Riemann hypothesis conjectured all nontrivial zeros in Riemann zeta function are uniquely located on sigma = 1/2 critical line. Derived from Dirichlet eta function [proxy for Riemann zeta function] are, in chronological order, simplified Dirichlet eta function and Dirichlet Sigma-Power Law. Computed Zeroes from the former uniquely occur at sigma = 1/2 resulting in total summation of fractional exponent (-sigma) that is twice present in this function to be integer-1. Computed Pseudo-zeroes from the later uniquely occur at sigma = 1/2 resulting in total summation of fractional exponent (1-sigma) that is twice present in this law to be integer 1. All nontrivial zeros are, respectively, obtained directly and indirectly as the one specific type of Zeroes and Pseudo-zeroes only when sigma = 1/2. Thus, it is proved (using equation-type proof) that Riemann hypothesis is true whereby this function and law rigidly comply with Principle of Maximum Density for Integer Number Solutions. The geometrical-mathematical [unified] approach used in our proof is equivalent to the algebra-geometry [unified] approach of geometric Langlands program that was formalized by Professor Peter Scholze and Professor Laurent Fargues. A succinct treatise on proofs for Polignac's and Twin prime conjectures (using algorithm-type proofs) is also outlined in this anniversary research paper.

Complexity Arising from Life at the Edge of Chaos-Fractal: Riemann Hypothesis, Polignac's and Twin Prime Conjectures

viXra, 2020

We commence this paper by outlining the manifested Chaos and Fractal phenomena derived from our c... more We commence this paper by outlining the manifested Chaos and Fractal phenomena derived from our concocted idiom "Complexity arising from Life at the Edge of Chaos-Fractal". COVID-19 originated from Wuhan, China in December 2019. Declared by World Health Organization on March 11, 2020; COVID-19 pandemic has resulted in unprecedented negative global impacts on health and economy. With China and US playing crucial roles, international cooperation is required to combat this "Incompletely Predictable" pandemic. We mathematically model COVID-19 and solve [unconnected] below-mentioned open problems in Number theory using our versatile Fic-Fac Ratio. Computed as Information-based complexity, our innovative Information-complexity conservation constitutes a unique all-purpose analytic tool associated with Mathematics for Incompletely Predictable problems. These problems are literally "complex systems" containing well-defined Incompletely Predictable entities such...

Solving Polignac's and Twin Prime Conjectures Using Information-Complexity Conservation

viXra, 2017

Prime numbers and composite numbers are intimately related simply because the complementary set o... more Prime numbers and composite numbers are intimately related simply because the complementary set of composite numbers constitutes the set of natural numbers with the exact set of prime numbers excluded in its entirety. In this research paper, we use our 'Virtual container' (which predominantly incorporates the novel mathematical tool coined Information-Complexity conservation with its core foundation based on this [complete] prime-composite number relationship) to solve the intractable open problem of whether prime gaps are infinite (arbitrarily large) in magnitude with each individual prime gap generating prime numbers which are again infinite in magnitude. This equates to solving Polignac's conjecture which involves analysis of all possible prime gaps = 2, 4, 6,... and [the subset] Twin prime conjecture which involves analysis of prime gap = 2 (for twin primes). In conjunction with our cross-referenced 2017-dated research paper entitled "Solving Riemann Hypothesis ...

Modelling COVID-19 pandemic and solving Riemann hypothesis, Polignac’s and Twin prime conjectures with novel Fic-Fac Ratio

COVID-19 originated from Wuhan, China in December 2019. Declared by World Health Organization (WH... more COVID-19 originated from Wuhan, China in December 2019. Declared by World Health Organization (WHO) on March 11, 2020; COVID-19 pandemic has resulted in unprecedented negative global impacts on health and economy. With China and US playing crucial roles, international cooperation is required to combat this ”Incompletely Predictable” pandemic. We mathematically model COVID-19 and solve [unconnected] below-mentioned open problems in Number theory using our versatile Fic-Fac Ratio. Computed as Information-based complexity, our innovative Information-complexity conservation constitutes a unique allpurpose analytic tool associated with Mathematics for Incompletely Predictable problems. These problems are literally ”complex systems” containing well-defined Incompletely Predictable entities such as nontrivial zeros and two types of Gram points in Riemann zeta function (or its proxy Dirichlet eta function) together with prime and composite numbers from Sieve of Eratosthenes. Correct and com...

Solving Open Problems from Riemann Zeta Function and Sieve of Eratosthenes When Unified Under Information-Complexity Conservation and Fic-Fac Ratio

viXra, 2020

Our innovative Information-complexity conservation which is computed as Information-based complex... more Our innovative Information-complexity conservation which is computed as Information-based complexity constitutes an unique all-purpose [quantitative and qualitative] analytic tool associated with Mathematics for Incompletely Predictable problems. These problems can literally be perceived as “complex systems” containing well-defined Incompletely Predictable entities such as nontrivial zeros and two types of Gram points in Riemann zeta function (or its proxy Dirichlet eta function) together with prime and composite numbers from Sieve of Eratosthenes. Correct and complete mathematical arguments for first key step of converting this function into its continuous format version, and second key step of using our unique Dimension (2x - N) system instead of this Sieve result in primary spin-offs from first key step consisting of proving Riemann hypothesis (and explaining two types of Gram points), and second key step consisting of proving Polignac's and Twin prime conjectures. COVID-19 p...

Rigorous Proofs for Open Problems Riemann Hypothesis, Polignac's and Twin Prime Conjectures

viXra, 2019

Mathematics for Incompletely Predictable Problems is associated with Incompletely Predictable pro... more Mathematics for Incompletely Predictable Problems is associated with Incompletely Predictable problems containing Incompletely Predictable entities. Nontrivial zeros and two types of Gram points in Riemann zeta function (or its proxy Dirichlet eta function) together with prime and composite numbers from Sieve of Eratosthenes are Incompletely Predictable entities. Correct and complete mathematical arguments for first key step of converting this function into its continuous format version, and second key step of applying Information-Complexity conservation to this Sieve result in direct spin-offs from first step consisting of proving Riemann hypothesis (and explaining two types of Gram points), and second step consisting of proving Polignac's and Twin prime conjectures.

Solving Incompletely Predictable Problems Polignac's and Twin Prime Conjectures Using Information-Complexity Conservation

viXra, 2019

Prime numbers are Incompletely Predictable numbers calculated using complex algorithm Sieve of Er... more Prime numbers are Incompletely Predictable numbers calculated using complex algorithm Sieve of Eratosthenes. Involving proposals that prime gaps and associated sets of prime numbers are infinite in magnitude, Twin prime conjecture deals with even prime gap 2 and is a subset of Polignac's conjecture which deals with all even prime gaps 2, 4, 6, 8, 10,.... Treated as Incompletely Predictable problems, we solve these conjectures with research method Information-Complexity conservation to get Plus Gap 2 Composite Number Continuous Law and Plus-Minus Gap 2 Composite Number Alternating Law.

Rigorous Proof for Riemann Hypothesis Using Sigma-Power Laws

viXra, 2017

The triple countable infinite sets of (i) x-axis intercepts, (ii) y-axis intercepts, and (iii) bo... more The triple countable infinite sets of (i) x-axis intercepts, (ii) y-axis intercepts, and (iii) both x- and y-axes [formally known as the 'Origin'] intercepts in Riemann zeta function are intimately related to each other simply because they all constitute complementary points of intersection arising from the single [exact same] countable infinite set of curves generated by this function. Recognizing this [complete] relationship amongst all three sets of intercepts enable the simultaneous study on important intrinsic properties and behaviors arising from our derived key formulae coined Sigma-Power Laws in a mathematically consistent manner. This then permit the rigorous proof for Riemann hypothesis to mature as well as allows explanations for x-axis intercepts (which is the usual traditionally-dubbed 'Gram points') and y-axis intercepts. Riemann hypothesis involves analysis of all nontrivial zeros of Riemann zeta function and refers to the celebrated proposal by famous...

Reverse Engineer Rigorous Proofs for Riemann Hypothesis, Polignac’s and Twin Prime Conjectures

Mathematics for Incompletely Predictable Problems is associated with Incompletely Predictable pro... more Mathematics for Incompletely Predictable Problems is associated with Incompletely Predictable problems containing Incompletely Predictable entities. Nontrivial zeros and two types of Gram points in Riemann zeta function (or proxy Dirichlet eta function) together with prime and composite numbers from Sieve of Eratosthenes are defined as Incompletely Predictable entities. Correct and complete mathematical arguments for first key step of converting this function into its continuous format version; and second key step of applying Information-Complexity conservation to this Sieve are written in reverse engineer format. Respectively, these arguments will commence from depicting the direct spin-off end-product proof for Riemann hypothesis (and explanation for both Gram points) to finally obtain nontrivial zeros and two types of Gram points; and from depicting the direct spin-off end-product proofs for Polignac’s and Twin prime conjectures to finally obtain prime and composite numbers (and ...

Solving Incompletely Predictable Problem Riemann Hypothesis with Dirichlet Sigma-Power Law as Equation and Inequation

Riemann hypothesis proposed all nontrivial zeros to be located on critical line of Riemann zeta f... more Riemann hypothesis proposed all nontrivial zeros to be located on critical line of Riemann zeta function. Treated as Incompletely Predictable problem, we obtain Dirichlet Sigma-Power Law as final proof of solving this problem. This Law is derived as equation and inequation from original Dirichlet eta function (proxy function for Riemann zeta function). Performing a parallel procedure help explain closely related Gram points.

Solving Riemann Hypothesis, Polignac's and Twin Prime Conjectures as Incompletely Predictable Problems

viXra, 2017

L-functions form an integral part of the 'L-functions and Modular Forms Database' with fa... more L-functions form an integral part of the 'L-functions and Modular Forms Database' with far-reaching implications. In perspective, Riemann zeta function is the simplest example of an L-function. Riemann hypothesis refers to the 1859 proposal by Bernhard Riemann whereby all nontrivial zeros are [mathematically] conjectured to lie on the critical line of this function. This proposal is equivalently stated in this research paper as all nontrivial zeros are [geometrically] conjectured to exactly match the 'Origin' intercepts of this function. Deeply entrenched in number theory, prime number theorem entails analysis of prime counting function for prime numbers. Solving Riemann hypothesis would enable complete delineation of this important theorem. Involving proposals on the magnitude of prime gaps and their associated sets of prime numbers, Twin prime conjecture deals with prime gap = 2 (representing twin primes) and is thus a subset of Polignac's conjecture which deal...

Rigorous proof for Riemann hypothesis that rigidly comply with Principle of Maximum Density for Integer Number Solutions

The 1859 Riemann hypothesis conjectured all nontrivial zeros in Riemann zeta function are uniquel... more The 1859 Riemann hypothesis conjectured all nontrivial zeros in Riemann zeta function are uniquely located on sigma = 1/2 critical line. Derived from Dirichlet eta function [proxy for Riemann zeta function] are, in chronological order, simplified Dirichlet eta function and Dirichlet Sigma-Power Law. Computed Zeroes from the former uniquely occur at sigma = 1/2 resulting in total summation of fractional exponent (–sigma) that is twice present in this function to be integer –1. Computed Pseudo-zeroes from the later uniquely occur at sigma = 1/2 resulting in total summation of fractional exponent (1 – sigma) that is twice present in this law to be integer 1. All nontrivial zeros are, respectively, obtained directly and indirectly as one specific type of Zeroes and Pseudo-zeroes only when sigma = 1/2. Thus, it is proved that Riemann hypothesis is true whereby this function and law must rigidly comply with Principle of Maximum Density for Integer Number Solutions.

Solving Incompletely Predictable Problems Polignac's and Twin Prime Conjectures with Research Method Information-Complexity Conservation

Prime numbers are Incompletely Predictable numbers calculated using complex algorithm Sieve of Er... more Prime numbers are Incompletely Predictable numbers calculated using complex algorithm Sieve of Eratosthenes. Involving proposals that prime gaps and associated sets of prime numbers are infinite in magnitude, Twin prime conjecture deals with even prime gap 2 and is a subset of Polignac’s conjecture which deals with all even prime gaps 2, 4, 6, 8, 10,.... Treated as Incompletely Predictable problems, we solve these conjectures as Plus Gap 2 Composite Number Continuous Law and Plus-Minus Gap 2 Composite Number Alternating Law obtained using novel research method Information-Complexity conservation.

Solving Riemann Hypothesis Using Sigma-Power Laws

The triple countable infinite sets of (i) x-axis intercepts, (ii) y-axis intercepts, and (iii) bo... more The triple countable infinite sets of (i) x-axis intercepts, (ii) y-axis intercepts, and (iii) both xand y-axes [formally known as the ’Origin’] intercepts in Riemann zeta function are intimately related to each other simply because they all constitute complementary points of intersection arising from the single [exact same] countable infinite set of curves generated by this function. Recognizing this [complete] relationship amongst all three sets of intercepts enable the simultaneous study on important intrinsic properties and behaviors arising from our derived key formulae coined Sigma-Power Laws in a mathematically consistent manner. This then permit the rigorous proof for Riemann hypothesis to mature as well as allows explanations for x-axis intercepts (which is the usual traditionally-dubbed ’Gram points’) and y-axis intercepts. Riemann hypothesis involves analysis of all nontrivial zeros of Riemann zeta function and refers to the celebrated proposal by famous German mathematic...

Unravelling the Dual Source of Prime Number Infiniteness from Prime Gaps using Information-Complexity Conservation

Prime numbers and composite numbers are intimately related simply because the complementary set o... more Prime numbers and composite numbers are intimately related simply because the complementary set of composite numbers constitutes the set of natural numbers with the exact set of prime numbers excluded in its entirety. In this research paper, we predominantly use our ’Virtual container’ method, which incorporates the novel mathematical tool coined Information-Complexity conservation with its core foundation based on this [complete] prime-composite number relationship, to solve the intractable open problem of whether prime gaps are infinite (arbitrarily large) in magnitude with each individual prime gap generating prime numbers which are again infinite in magnitude. This equates to solving Polignac’s conjecture which involves analysis of all possible prime gaps = 2, 4, 6,... and [the subset] Twin prime conjecture which involves analysis of prime gap = 2 (for twin primes).

Unravelling the True Location of Nontrivial Zeros in Riemann Zeta Function using Sigma-Power Laws

The triple countable infinite sets of (i) x-axis intercepts, (ii) y-axis intercepts, and (iii) bo... more The triple countable infinite sets of (i) x-axis intercepts, (ii) y-axis intercepts, and (iii) both xand y-axes [formally known as the ’Origin’] intercepts in Riemann zeta function are intimately related to each other simply because they all constitute complementary points of intersection arising from the single [exact same] countable infinite set of curves generated by this function. This [complete] relationship amongst all three sets of intercepts will enable us to simultaneously study important intrinsic properties derived from all those intercepts in a mathematically consistent manner which then provides the rigorous proof for Riemann hypothesis as well as fully explain x-axis intercepts (which is the usual traditionally-dubbed ’Gram points’) and y-axis intercepts. Riemann hypothesis involves analysis of all nontrivial zeros of Riemann zeta function and refers to the celebrated proposal by famous German mathematician Bernhard Riemann in 1859 whereby all nontrivial zeros are conj...

Rigorous proofs for Polignac’s and Twin prime conjectures using Information-Complexity conservation

Prime numbers and composite numbers are intimately related simply because the complementary set o... more Prime numbers and composite numbers are intimately related simply because the complementary set of composite numbers constitutes the set of natural numbers with the exact set of prime numbers excluded in its entirety. In this research paper, we use our ’Virtual container’ method, which predominantly incorporates the novel mathematical tool coined Information-Complexity conservation with its core foundation based on this [complete] prime-composite number relationship, to solve the intractable open problem of whether prime gaps are infinite (arbitrarily large) in magnitude with each individual prime gap generating prime numbers which are again infinite in magnitude. This equates to solving Polignac’s conjecture which involves analysis of all possible prime gaps = 2, 4, 6,... and [the subset] Twin prime conjecture which involves analysis of prime gap = 2 (for twin primes). In conjunction with our cross-referenced 2017-dated research paper entitled ”Rigorous proof for Riemann hypothesis...

Solving Open Problems Riemann Hypothesis, Polignac’s and Twin Prime Conjectures: Concise Summary in Response to COVID-19 Pandemic

Mathematics for Incompletely Predictable Problems are associated with well-defined Incompletely P... more Mathematics for Incompletely Predictable Problems are associated with well-defined Incompletely Predictable problems containing Incompletely Predictable entities. Nontrivial zeros and two types of Gram points in Riemann zeta function (or its proxy Dirichlet eta function) together with prime and composite numbers from Sieve of Eratosthenes are Incompletely Predictable entities. Correct and complete mathematical arguments for first key step of converting this function into its continuous format version, and second key step of applying Information-Complexity conservation to this Sieve result in primary spin-offs from first key step consisting of proving Riemann hypothesis (and explaining two types of Gram points), and second key step consisting of proving Polignac’s and Twin prime conjectures. COVID-19 pandemic with unprecedented negative global impacts was declared by World Health Organization on March 11, 2020. Being loosely and intuitively perceived as “Incompletely Predictable”, we...

Mathematics for Incompletely Predictable Problems Depicting Spin-Offs from Converting Riemann Zeta Function Into Its Continuous Format Version: Paper 1 of 2 Related Papers

Mathematics for Incompletely Predictable Problems makes all mathematical arguments valid and comp... more Mathematics for Incompletely Predictable Problems makes all mathematical arguments valid and complete in [current] Paper 1 (based on first key step of converting Riemann zeta function into its continuous format version) and [next] Paper 2 (based on second key step of applying Information-Complexity conservation to Sieve of Eratosthenes). Nontrivial zeros and two types of Gram points calculated using this function plus prime and composite numbers computed using this Sieve are defined as Incompletely Predictable entities. Euler product formula alternatively and exactly represents Riemann zeta function but utilizes product over prime numbers (instead of summation over natural numbers). Hence prime numbers are encoded in this function demonstrating deep connection between them. Direct spin-offs from first step consist of proving Riemann hypothesis and explaining manifested properties of both Gram points, and from second step consist of proving Polignac's and Twin prime conjectures. ...