JTPmath: Mathematics at the Speed of Discovery

8 min read
Harmonic Equidistribution and a Density Amplification Principle for the Erdős–Turán Conjecture
Jas, the Physicist
Jas, the Physicist
Jas is a mathematical physicist and the founder & CEO of JTPMATH, INC. With a dedication to clarity and creativity, she explores the intersection of theoretical mathematics with physics, chemistry and artificial intelligence.

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Sep 9, 2026 • erdos solutions
4 min read
A Geometric Unification of Economics, Crime, and Systemic Autoimmunity
Jas, the Physicist
Jas, the Physicist
Jas is a mathematical physicist and the founder & CEO of JTPMATH, INC. With a dedication to clarity and creativity, she explores the intersection of theoretical mathematics with physics, chemistry and artificial intelligence.

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Aug 19, 2026 • differential geometry • macroeconomics • econometrics
1 min read
Topological Functors over Biopolymer Configuration Spaces: Eliminating Brute-Force Molecular Dynamics via Orbifold Invariant Mapping
Jas, the Physicist
Jas, the Physicist
Jas is a mathematical physicist and the founder & CEO of JTPMATH, INC. With a dedication to clarity and creativity, she explores the intersection of theoretical mathematics with physics, chemistry and artificial intelligence.

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Aug 19, 2026 • algebraic topology • biochemistry • differential topology
4 min read
The Intrinsically Disordered Protein (IDP) and Liquid-Liquid Phase Separation (LLPS) problem
Jas, the Physicist
Jas, the Physicist
Jas is a mathematical physicist and the founder & CEO of JTPMATH, INC. With a dedication to clarity and creativity, she explores the intersection of theoretical mathematics with physics, chemistry and artificial intelligence.

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Aug 19, 2026 • algebraic topology • biochemistry • differential topology
17 min read
The Geometric Reality: Why Chemical Space Is an Orbifold
Jas, the Physicist
Jas, the Physicist
Jas is a mathematical physicist and the founder & CEO of JTPMATH, INC. With a dedication to clarity and creativity, she explores the intersection of theoretical mathematics with physics, chemistry and artificial intelligence.

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Aug 19, 2026 • biochemistry • applied mathematics • algebraic geometry
1 min read
Sheaf-Theoretic Obstructions in Higher Dimensions and Topological Rigidity in the Affine Plane
Jas, the Physicist
Jas, the Physicist
Jas is a mathematical physicist and the founder & CEO of JTPMATH, INC. With a dedication to clarity and creativity, she explores the intersection of theoretical mathematics with physics, chemistry and artificial intelligence.

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Aug 11, 2026 • jacobian conjecture • papers • algebraic geometry
8 min read
The Collapse of the Jacobian Conjecture: How Global Geometry Defies Local Predictability
Jas, the Physicist
Jas, the Physicist
Jas is a mathematical physicist and the founder & CEO of JTPMATH, INC. With a dedication to clarity and creativity, she explores the intersection of theoretical mathematics with physics, chemistry and artificial intelligence.

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Aug 10, 2026 • jacobian conjecture • p not np
4 min read
From Metaphor to Calculus: Formalizing Musical Shape and Harmonic Derivatives in Tonal Analysis
Jas, the Physicist
Jas, the Physicist
Jas is a mathematical physicist and the founder & CEO of JTPMATH, INC. With a dedication to clarity and creativity, she explores the intersection of theoretical mathematics with physics, chemistry and artificial intelligence.

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Aug 8, 2026 • music composition • harmonic calculus • music theory
10 min read
The Geometric Manifold of the Primes: How Burns Law Dismantles Statistical Number Theory
Jas, the Physicist
Jas, the Physicist
Jas is a mathematical physicist and the founder & CEO of JTPMATH, INC. With a dedication to clarity and creativity, she explores the intersection of theoretical mathematics with physics, chemistry and artificial intelligence.

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Aug 7, 2026 • burns law • fundamental law of prime numbers • twin primes
9 min read
The 12.75% Signal: Why Structural Truth Precedes Asymptotic Fit, and the Computational Mandate for Burns Law
Jas, the Physicist
Jas, the Physicist
Jas is a mathematical physicist and the founder & CEO of JTPMATH, INC. With a dedication to clarity and creativity, she explores the intersection of theoretical mathematics with physics, chemistry and artificial intelligence.

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Aug 7, 2026 • burns law • riemann hypothesis • fundamental law of prime numbers
8 min read
The Arithmetic Blind Spot: Why the de Bruijn-Newman Heat Flow Cannot Force the Riemann Hypothesis
Jas, the Physicist
Jas, the Physicist
Jas is a mathematical physicist and the founder & CEO of JTPMATH, INC. With a dedication to clarity and creativity, she explores the intersection of theoretical mathematics with physics, chemistry and artificial intelligence.

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Aug 7, 2026 • burns law • riemann hypothesis
Reviewing My Solution to the Erdos-Turan Conjecture featuring Claude
Jas, the Physicist
Jas, the Physicist
Jas is a mathematical physicist and the founder & CEO of JTPMATH, INC. With a dedication to clarity and creativity, she explores the intersection of theoretical mathematics with physics, chemistry and artificial intelligence.

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Aug 4, 2026 • combinatorics • burns law • erdos solutions

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Jas, the Physicist

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Jas is a mathematical physicist and the founder & CEO of JTPMATH, INC. With a dedication to clarity and creativity, she explores the intersection of theoretical mathematics with physics, chemistry and artificial intelligence.

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burns law

The Geometric Manifold of the Primes: How Burns Law Dismantles Statistical Number Theory

The Geometric Manifold of the Primes: How Burns Law Dismantles Statistical Number Theory

Jas, the Physicist

Aug 7, 2026 • burns law • fundamental law of prime numbers • twin primes

The 12.75% Signal: Why Structural Truth Precedes Asymptotic Fit, and the Computational Mandate for Burns Law

The 12.75% Signal: Why Structural Truth Precedes Asymptotic Fit, and the Computational Mandate for Burns Law

Jas, the Physicist

Aug 7, 2026 • burns law • riemann hypothesis • fundamental law of prime numbers

The Arithmetic Blind Spot: Why the de Bruijn-Newman Heat Flow Cannot Force the Riemann Hypothesis

The Arithmetic Blind Spot: Why the de Bruijn-Newman Heat Flow Cannot Force the Riemann Hypothesis

Jas, the Physicist

Aug 7, 2026 • burns law • riemann hypothesis

Reviewing My Solution to the Erdos-Turan Conjecture featuring Claude

Reviewing My Solution to the Erdos-Turan Conjecture featuring Claude

Jas, the Physicist

Aug 4, 2026 • combinatorics • burns law • erdos solutions

Why Sarnak’s and Chowla’s Conjectures Fail: A Topological & Dynamical Breakpoint

Why Sarnak’s and Chowla’s Conjectures Fail: A Topological & Dynamical Breakpoint

Jas, the Physicist

Aug 4, 2026 • sarnak • chowla • burns law

Burns Law and Revisiting the Variance Amplification Lemma

Burns Law and Revisiting the Variance Amplification Lemma

Jas, the Physicist

Jul 20, 2026 • variance amplification lemma • burns law • riemann hypothesis

$P \neq NP$, Erdos 3 and Erdos 142 Solutions as structural consequences of Burns Law: The Fundamental Law of Prime Numbers

$P \neq NP$, Erdos 3 and Erdos 142 Solutions as structural consequences of Burns Law: The Fundamental Law of Prime Numbers

Jul 19, 2026 • burns law • p not np • erdos solutions

The Entropy of Logic: Why a Divergent Lambda Mandates $P \neq NP$

The Entropy of Logic: Why a Divergent Lambda Mandates $P \neq NP$

Jas, the Physicist

Mar 26, 2026 • computational complexity • riemann hypothesis • burns law

On the Divergence of the de Bruijn Constant

On the Divergence of the de Bruijn Constant

Jas, the Physicist

Mar 26, 2026 • riemann hypothesis • burns law

Justification for the Introduction of the Force Term in the Heat Equation Framework for Analyzing the Riemann Hypothesis

Justification for the Introduction of the Force Term in the Heat Equation Framework for Analyzing the Riemann Hypothesis

Jul 15, 2025 • burns law • dynamical number theory

riemann hypothesis

View riemann hypothesis

The 12.75% Signal: Why Structural Truth Precedes Asymptotic Fit, and the Computational Mandate for Burns Law

The 12.75% Signal: Why Structural Truth Precedes Asymptotic Fit, and the Computational Mandate for Burns Law

Jas, the Physicist

Aug 7, 2026 • burns law • riemann hypothesis • fundamental law of prime numbers

The Arithmetic Blind Spot: Why the de Bruijn-Newman Heat Flow Cannot Force the Riemann Hypothesis

The Arithmetic Blind Spot: Why the de Bruijn-Newman Heat Flow Cannot Force the Riemann Hypothesis

Jas, the Physicist

Aug 7, 2026 • burns law • riemann hypothesis

Burns Law and Revisiting the Variance Amplification Lemma

Burns Law and Revisiting the Variance Amplification Lemma

Jas, the Physicist

Jul 20, 2026 • variance amplification lemma • burns law • riemann hypothesis

A Cohomological Formulation of the Prime Number Theorem

A Cohomological Formulation of the Prime Number Theorem

Jas, the Physicist

May 11, 2026 • primes • riemann hypothesis

The Entropy of Logic: Why a Divergent Lambda Mandates $P \neq NP$

The Entropy of Logic: Why a Divergent Lambda Mandates $P \neq NP$

Jas, the Physicist

Mar 26, 2026 • computational complexity • riemann hypothesis • burns law

On the Divergence of the de Bruijn Constant

On the Divergence of the de Bruijn Constant

Jas, the Physicist

Mar 26, 2026 • riemann hypothesis • burns law

Quantum-Like Properties in Burns Law

Quantum-Like Properties in Burns Law

Jas, the Physicist

Mar 8, 2025 • burns law • quantum mechanics • number theory

What It Means to 'Violate RH-Bounds' in Burns Law

What It Means to 'Violate RH-Bounds' in Burns Law

Mar 8, 2025 • research • primes • riemann hypothesis

algebraic geometry

View algebraic geometry

The Geometric Reality: Why Chemical Space Is an Orbifold

The Geometric Reality: Why Chemical Space Is an Orbifold

Jas, the Physicist

Aug 19, 2026 • biochemistry • applied mathematics • algebraic geometry

Sheaf-Theoretic Obstructions in Higher Dimensions and Topological Rigidity in the Affine Plane

Sheaf-Theoretic Obstructions in Higher Dimensions and Topological Rigidity in the Affine Plane

Jas, the Physicist

Aug 11, 2026 • jacobian conjecture • papers • algebraic geometry

Geometry of Tensors

Geometry of Tensors

Mar 8, 2025 • differential geometry • algebraic geometry

An Ideal Computation

An Ideal Computation

Jas, the Physicist

Feb 8, 2025 • code required • algebraic geometry • inverse problem of galois theory

Computing the de Rham Cohomology of Grassmann Manifolds in MATLAB

Computing the de Rham Cohomology of Grassmann Manifolds in MATLAB

Jas, the Physicist

Feb 8, 2025 • code required • algebraic geometry • quantum cohomology

Projective Eigenspaces

Projective Eigenspaces

Jas, the Physicist

Dec 6, 2024 • algebraic geometry • functional analysis • complex differential operators

code required

View code required

Topological Functors over Biopolymer Configuration Spaces: Eliminating Brute-Force Molecular Dynamics via Orbifold Invariant Mapping

Topological Functors over Biopolymer Configuration Spaces: Eliminating Brute-Force Molecular Dynamics via Orbifold Invariant Mapping

Jas, the Physicist

Aug 19, 2026 • algebraic topology • biochemistry • differential topology

The Intrinsically Disordered Protein (IDP) and Liquid-Liquid Phase Separation (LLPS) problem

The Intrinsically Disordered Protein (IDP) and Liquid-Liquid Phase Separation (LLPS) problem

Jas, the Physicist

Aug 19, 2026 • algebraic topology • biochemistry • differential topology

The Geometric Reality: Why Chemical Space Is an Orbifold

The Geometric Reality: Why Chemical Space Is an Orbifold

Jas, the Physicist

Aug 19, 2026 • biochemistry • applied mathematics • algebraic geometry

An Ideal Computation

An Ideal Computation

Jas, the Physicist

Feb 8, 2025 • code required • algebraic geometry • inverse problem of galois theory

Computing the de Rham Cohomology of Grassmann Manifolds in MATLAB

Computing the de Rham Cohomology of Grassmann Manifolds in MATLAB

Jas, the Physicist

Feb 8, 2025 • code required • algebraic geometry • quantum cohomology