Franny Philos Sophia

Computational Directional Asymmetry: Dissolving the Classical Question Behind P vs NP

We define computational directional asymmetry AM(x) = log2 TM(x)− log2 TV(x, M (x)), the log-ratio of solving time to verification time for a total candidate solver M on instance x. We prove that P= NP if and only if every NP relation admits a solver with worst-case asymmetry O(l...

How Much Nuclear Charge Distribution Information Do Electrons Read?

When the nuclear charge distribution is compressed into a mean-square charge radius⟨r2⟩, how much electronic-structure information is lost—and does relativity change theanswer? Using one-electron Schrödinger and Dirac models with analytically constructednuclear densities matched...

Which Consistency Statement? Made-Canonicity and the Intensionality of Gödel's Second Incompleteness Theorem

Gödel’s second incompleteness theorem is sensitive to how axioms are presented: extensionallyequivalent axiomatizations yield consistency statements of different proof-theoretic status. Theformal separation of canonical from deviant cases is established; what is missing is a crit...

Economy Without Oikonomia Semantic Capture and the Disciplinary Naturalization of a Wartime Ledger

The modern word "economy" is treated as a natural category. This paper argues that it is acaptured name. Pre-modern European lexicons maintained at least four lexically distinctregisters for what the word now covers: order-management (oikonomia), money-making(chrematistike), live...

Substance and Scalar: Why GDP Cannot See What Sustains It

GDP compresses an economy into a scalar. A scalar is a dimensionality reduction: thehigh-dimensional structure it projects from — positions within commercial flows, institutionalconfigurations, distributions of trust and capability — cannot be recovered from the projection.This p...

Economy Without Oikonomia Semantic Capture and the Disciplinary Naturalization of a Wartime Ledger

The modern word "economy" is treated as a natural category. This paper argues that it is acaptured name. Pre-modern European lexicons maintained at least four lexically distinctregisters for what the word now covers: order-management (oikonomia), money-making(chrematistike), live...

Substance and Scalar: Why GDP Cannot See What Sustains It

GDP compresses an economy into a scalar. A scalar is a dimensionality reduction: thehigh-dimensional structure it projects from — positions within commercial flows, institutionalconfigurations, distributions of trust and capability — cannot be recovered from the projection.This p...

From Fugitive Cash to Non-Fugitive Provisioning: The Mundellian Trilemma, External Debt Feedback, and the Design Space of Post-Employment Redistribution

The Mundellian trilemma is widely assumed to make large-scale redistribution — such as universal basic income — infeasible in an open global economy, yet this assumption has never been stated formally or tested dynamically. This paper constructs a four-bloc computational model of...

From Fugitive Cash to Non-Fugitive Provisioning: The Mundellian Trilemma, External Debt Feedback, and the Design Space of Post-Employment Redistribution

The Mundellian trilemma is widely assumed to make large-scale redistribution — such as universal basic income — infeasible in an open global economy, yet this assumption has never been stated formally or tested dynamically. This paper constructs a four-bloc computational model of...