Jacob Bulmash

Three Dimensions from a One-Bit Budget: A Termination Theorem for Pregeometric Ladders

Before There Was Space: The Birth of Three Dimensions from a One-Bit Budget. Unlike operational reconstructions and dynamical dimension mechanisms, this finite pregeometric record model proves an exact budget-to-terminal-rank law. Here terminal rank is the strict formation-admiss...

The Möbius–Obstruction Instrument: From Response Surfaces to Irreducible Supports and Minimal Interventions

Exact support recovery, a necessary-and-sufficient noisy-output gate, and a finite physical proof of operation. For one fixed finite parent and a declared subset-response surface, this work defines A_tau(Y)=min{S nonempty: |Delta Y(S)|>tau} and I_tau(Y)=(A_tau(Y), blocker(A_tau(Y...

The Silver Web: A Cross-Field Carrier–Capacity Correspondence

Exact transport from FK/Tutte and Jones–Beraha structure to central charge, modular capacity, and an executable spectral probe. The Silver Web is a proved, executable cross-field construction that transports one coordination-indexed carrier through positive FK/Tutte, Temperley–Li...

The Möbius–Obstruction Instrument: From Response Surfaces to Irreducible Supports and Minimal Interventions

Exact support recovery, a necessary-and-sufficient noisy-output gate, and a finite physical proof of operation. For one fixed finite parent and a declared subset-response surface, this work defines A_tau(Y)=min{S nonempty: |Delta Y(S)|>tau} and I_tau(Y)=(A_tau(Y), blocker(A_tau(Y...

The Finite-Binary Möbius Conjugate-Response Law

Exact Gibbs certification, covariance closure, and all-order Hamiltonian reconstruction in correlated binary equilibrium. This work establishes the complete finite-binary Möbius conjugate-response closure C_FB. It joins six measurable sectors—thermodynamic pressure, contextual in...

The Finite-Binary Möbius Conjugate-Response Law

Exact Gibbs certification, covariance closure, and all-order Hamiltonian reconstruction in correlated binary equilibrium. This work establishes the complete finite-binary Möbius conjugate-response closure C_FB. It joins six measurable sectors—thermodynamic pressure, contextual in...

The Silver Web: A Cross-Field Carrier–Capacity Correspondence

Exact transport from FK/Tutte and Jones–Beraha structure to central charge, modular capacity, and an executable spectral probe. The Silver Web is a proved, executable cross-field construction that transports one coordination-indexed carrier through positive FK/Tutte, Temperley–Li...

Quantum Genesis: Three Dimensions for One Bit, and Dark Energy as Fast Time

Pressure builds space, records make time, and the Bulmash Record-Carrier Expansion Law fixes the curve. No shape left to tune. One bit is enough to start a universe. Price a single lasting record at the saturated one-bit Landauer budget, allocated between forming and breaking as...

Dark Energy Is a Rate, Not a Substance: Time Runs Faster in Emptier Space

Black holes mark the slow end of the clock. Voids mark the fast end. The Bulmash Record-Carrier Expansion Law puts that axis on the sky—fixed before the likelihood is opened, with no continuous shape left to tune—and is confronted with DESI DR2 and Pantheon+. Dedicated to the mem...

Dark Energy Is a Rate, Not a Substance: Time Runs Faster in Emptier Space

Black holes mark the slow end of the clock. Voids mark the fast end. The Bulmash Record-Carrier Expansion Law puts that axis on the sky—fixed before the likelihood is opened, with no continuous shape left to tune—and is confronted with DESI DR2 and Pantheon+. Dedicated to the mem...

Quantum Genesis: Three Dimensions for One Bit, and Dark Energy as Fast Time

Pressure builds space, records make time, and the Bulmash Record-Carrier Expansion Law fixes the curve. No shape left to tune. One bit is enough to start a universe. Price a single lasting record at the saturated one-bit Landauer budget, allocated between forming and breaking as...

Quantum Genesis: Three Dimensions for One Bit, and Dark Energy as Fast Time

Pressure builds space, records make time, and the Bulmash Record-Carrier Expansion Law fixes the curve. No shape left to tune. One bit is enough to start a universe. Price a single lasting record at the saturated one-bit Landauer budget, allocated between forming and breaking as...