Philip Lilien

FROM COHERENCE TO DISCLOSURE Phase, Resonance, Cohesion, and Future-Sufficient Physical Computation

Quantum Computational Theory + exact analytic study + preregistered computational benchmark protocol Central thesis For a specified future task, physical protection need preserve only those relational distinctions whose loss can still alter that future through the remaining dynam...

Future-Sufficient Control Quotients Robust Closure, Operational Reduction, and Physical Realization

A task-relative theory of what may be forgotten, what may be ignored in practice, and what need not be physically maintained Reduced representations can be sufficient in at least three inequivalent senses: they may close under a declared family of future continuations, support ne...

Future-Sufficient Control Quotients Robust Closure, Operational Reduction, and Physical Realization

A task-relative theory of what may be forgotten, what may be ignored in practice, and what need not be physically maintained Reduced representations can be sufficient in at least three inequivalent senses: they may close under a declared family of future continuations, support ne...

Coherence, Closure, and What Makes Physical Law Possible A Conversational Doorway into Closure Mathematics and the Open Real

Physics is extraordinarily successful at describing lawful behavior once states, observables, geometry, and dynamical laws have been specified. This manuscript asks a prior question: what makes a physical description sufficiently closed to support law at all? The argument begins...

Future-Sufficient Control Quotients Robust Closure, Operational Reduction, and Physical Realization

A task-relative theory of what may be forgotten, what may be ignored in practice, and what need not be physically maintained Reduced representations can be sufficient in at least three inequivalent senses: they may close under a declared family of future continuations, support ne...

Future-Sufficient Control Quotients Robust Closure, Operational Reduction, and Physical Realization

A task-relative theory of what may be forgotten, what may be ignored in practice, and what need not be physically maintained Reduced representations can be sufficient in at least three inequivalent senses: they may close under a declared family of future continuations, support ne...

PARTIAL CLOSURE AND THE THEORY OF DISCLOSABILITY Predictive Quotients, Residual Relevance, Backreaction, and Minimal Reclosure

A quotient-fiber framework for lawful prediction under non-exhaustive realization, with exact descent, target- and horizon-relative predictive equivalence, projected fiber spread, closure backreaction, and minimal reclosure. Keywords: partial closure; disclosability; predictive q...

PARTIAL CLOSURE AND THE THEORY OF DISCLOSABILITY Predictive Quotients, Residual Relevance, Backreaction, and Minimal Reclosure

A quotient-fiber framework for lawful prediction under non-exhaustive realization, with exact descent, target- and horizon-relative predictive equivalence, projected fiber spread, closure backreaction, and minimal reclosure. Keywords: partial closure; disclosability; predictive q...