GAUGE-INSTITUTE

 

 

Gauge Institute Journal

 

Poincare

Poincare Conjecture Proof

 

Riemann Hypothesis

Riemann Zeta Function: the Riemann Hypothesis Origin, the Factorization Error, and the Count of the Primes

Chi-Squared Goodness-of-fit test of the Riemann Hypothesis

Riemann’s Formula for Count of the Primes: The effect of the Hypothesis Series

Riemann Hypothesis Proof

 

Power Means Calculus

Power Means Calculus: Product Calculus, Harmonic Mean Calculus, and Quadratic Mean Calculus

 

Fractional Calculus

The Fundamental Theorem of the Fractional Calculus, and the Meaning of Fractional Derivatives

 

Infinity

Hilbert’s 1st  Problem: Cantor’s Continuum Hypothesis

Rationals Countability and Cantor’s Proof

Correction to Rationals Countability and Cantor's Proof

Cantor’s Set and the Cardinality of the Reals

Non-Cantorian Set Theory

Cardinality, Measure, and Category

The Continuum Hypothesis, The Axiom of Choice, and Non-Cantorian Theory

The Continuum Hypothesis

Well-Ordering of the Reals, Equality of all Infinities, and the Continuum Hypothesis

 

Integration

Feynman Integral and Convolution Products

Lebesgue Integration

Riemannian Integration

Riemannian Trigonometric Series

Jordan Lemma Proof

 

Infinitesimal Calculus

Infinitesimals

Infinitesimal Calculus

 

Weak Mixing

The Weak Mixing Matrix

 

Zero Point Energy

 Zero Point Energy: Planck Radiation Law

Zero Point Energy: Thermodynamic Equilibrium and Planck Radiation Law

 

Wave-Particle

Wave-Particle Duality: de Broglie Waves and Uncertainty

 

Feynman Integral

Feynman Integral and Convolution Products

 

High Energy Physics

Entangled Simultaneous Measurement and Elementary Particle Representations

Elementary Particle Mixing for Maximum Channel capacity in measured Decays

Extension of Lorentz Group Representations for Chiral Fermions

The  Mediated Weak Decay as an Information Channel

 

Relativity

The Meaning of the Michelson-Morley Experiment