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Polymathic Research
Original, definitely Ground-Breaking!
We are sure of what will happen because Professor Paul Katching has done over 40 years of research. Scroll down to read the abstract of his most recent Financial Economics paper in which he solves the Equity Premium Puzzle.
Katching's Equity>Debt Law
We know that equity is at least 10,000 times more powerful than debt. Learn more about this from the abstract below.
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DPNPP Abstract
For over 167 years, the Riemann hypothesis has misled mathematicians--by mistake--preventing them from discovering the precise distribution of Prime Numbers along an exact 24-Number Line to infinity in 90-unit Harmonic Cycles.
“The singular focus on the zeros of the Riemann zeta function has led to a heavy reliance on probabilities and fractions without the firm confidence of using exact whole numbers." (Professor Emeritus Paul Katching)
The Katching’s Distribution of Prime Numbers and "Precursor Primes" (DPNPP) Theorem has validated with unprecedented precision the exact 24 positions where Prime Numbers and "Precursor Primes' can only occur in each 90-unit Harmonic Cycle on the number line.
This ordered assembly or whole-number distribution of "Prime data" inside a distinct Quantum Matrix Structure compels the "Liberating the Multitude" title of this paper to characterize the implications and valuable applications for humanity.
First of all, the "entangled" numbers of 24 and 90 in the DPNPP proof formulas ensure this Quantum Matrix Structure scales to infinity while maintaining the high predictability and precision of "Prime data".
Astonishingly, a wealth of Prime Numbers are coherently hidden in the "Precursor Primes", bringing new opportunities to upgrade security and privacy for online users. .
There are immediate implications for Quantum Science, Quantum Photonic Computing Algorithms, and the application of DPNPP_deried algorithms for quantum computer hardware.
Furthermore, DPNPP-derived algorithms boost classical computing with new capabilities to facto very large numbers, to simulate complex molecular interactions, and to predict protein folding.
Currently, there are DPNPP-derived applications for the deployment of (integrated) business-logistics operations and for the modeling of large-scale economic systems.

THE EXACT PRIME NUMBER
DISTRIBUTION SOLUTION
LIBERATES THE MULTITUDE
167-year-old Riemann hypothesis is disproved by Katching's DPNPP Theorem which navigates along a 24-Number Line to infinity in 90-Unit Harmonic Cycles.
Published in the January-June 2026 issues of
International Journal of Business
Management and Research
ISSN: 2249-2143
by
Dr. Paul Douglas Katching
Professor-Emeritus of Applied Sciences
Physics Dept. at Desh Bhagat University
Equity Premium Abstract
Equity is at least 10,000 times more powerful than Debt
“Extraordinary claims require extraordinary evidence” (Carl Sagan)
With Katching’s Equity-is-greater-than-Debt Law, it is now proven that Equity is at least 10,000 times more powerful than Debt.
This proof goes up against an academic mindset which suppresses the virtues of Equity, intentionally or unintentionally.
Extensive academic studies of a century of "risk equity stocks" versus the "guaranteed safe treasuries, bonds and bank deposits" have systemically underreported a six percentage point (6%) average difference between these two sets of economic data. It should be more than 6%.
Furthermore, this 6% Equity Premium of a diversified set of U.S. equities over U.S. treasuries over 100+ years is inexplicable, until now. Everyone knows how Debt is produced from credit. But, with the rare exception of a few academics, most do not know how Equity is produced to demystify this puzzle of the 6% Equity Premium. Solving this “Equity Premium Puzzle” requires a courageous mastery of exactly how Equity is produced by a straightforward division operation where the denominator is a fraction. For example, dividing $1 by 0.01 produces $100.
There is a special power relationship between Equity Yields and Debt Yields. This relationship rests on the scientific fundamentals of the "First Law of the Conservation of Energy" (Julius Robert von Mayer, 1814 — 1878) and the "mass energy formulas"
M=E÷C^2 and
E=MC^2 (Albert Einstein,1879 — 1955) which describe this “One Energy”. The “Equity Premium Puzzle” is now solvable with science and the mastery of Equity.
Economic data from 2,000 global publicly-listed companies in India, the United States of America, and Ghana was used in this investigator’s study of the "Equity Premium Puzzle". It is now known that publicly-listed companies in India are undervalued by over $39 Trillion. Furthermore, the world is undervalued by over $400 Trillion.
Katching’s Equity>Debt Law is applied in Tables and Graphs to illustrate the vast power of Equity over Debt. This investigator argues for a deployment of Equity in addressing tough problems such as poverty and wealth inequality. Sadly, such problems persist in society after decades of tackling them with Debt. Deploying Equity requires an honest reevaluation of our understanding of Capitalism. The consumer’s participation in a “pure, ubiquitous Capitalism” will instantly produce Equity premiums much much higher than the observed 6% Equity Premium.

THE EQUITY PREMIUM PROBLEM
IS DEFINITIVELY SOLVED
India is undervalued by over $39 Trillion
and the World by over $400 Trillion
Published in the January-June 2026 issues of
International Journal of Business
Management and Research
ISSN: 2249-2143
by
Dr. Paul Douglas Katching
Professor-Eminence of Applied Sciences
Physics Dept. at Desh Bhagat University
The cover picture-graph depicts a range of Equity-Return-to-Debt-Return ratios across 100 different rates, decreasing from 1.0% to a very very small number. 10,000-to-1 is the Equity-to-Debt ratio for a 1.0% Dividend Yield Rate and a 1.0% Interest Rate. As these rates get smaller, Equity’s power over Debt grows bigger. With scientific facts, THE EQUITY PREMIUM PROBLEM IS DEFINITIVELY SOLVED.



