RESEARCH
Read the published research, explore public preprints, and follow explanatory guides to their assumptions, results, and open questions.
Start with the journal articles below, then use the preprint guides to follow related proposals. The guides explain the assumptions and mathematical setting; the linked paper remains the primary source for its results.
Completion, compatible complex structures, and the conditions behind positive-frequency geometry.
How real representations and their commutants constrain the selection of quantum phase.
A dual-time geometric approach to temporal asymmetry and reduced dynamics.
Follow the four proposed principles through their mathematical dependencies. The guide connects complex temporal dynamics with SMM/DTT while identifying the extra assumptions needed to pass from an algebraic construction to a physical consequence.
Public preprint / catalogue entry · publication status is separate from the journal articles above.A topic-led guide to the listed fractal-time preprint. Explain the distinction between a temporal mechanism, a dimensional diagnostic, and a complete spacetime reconstruction.
Public preprint / catalogue entry · publication status is separate from the journal articles above.Prepare a critical reading of the listed spectral proposal. Identify the exact operator, spectral correspondence, and proof obligations; the catalogue entry is not evidence that the Riemann hypothesis is proved.
Public preprint / catalogue entry · publication status is separate from the journal articles above.A guide to the listed paper’s mathematical theme. Organize the algebra, operator, and readout questions before relating spectral constructions to physical distance and causal geometry.
Public preprint / catalogue entry · publication status is separate from the journal articles above.Prepare a careful audit of the listed mass-gap proposal. Distinguish a regulated model result from the continuum four-dimensional Yang–Mills problem, and compare the claim with newer gap-obligation drafts.
Public preprint / catalogue entry · publication status is separate from the journal articles above.Introduce the listed preprint’s proposal to relate discrete and continuous descriptions through projections. A future expansion should identify the precise objects on each side and their shared construction.
Public preprint / catalogue entry · publication status is separate from the journal articles above.Examine the proposed identification of the Single Monad with a minimal magnetic monopole. A bundle example separates ontological unity, topological charge, and physical field strength, then identifies the reconstruction steps needed to connect them.
Public preprint / catalogue entry · publication status is separate from the journal articles above.A structured entry point to the listed emergence proposal. Explain what counts as reconstructing a spatial dimension and what further work is needed to recover distance, dynamics, and empirical geometry.
Public preprint / catalogue entry · publication status is separate from the journal articles above.Read the earlier coupling proposal alongside the newer response-based draft. Track the shift from structural counting to an explicit source, response operator, and electromagnetic normalization.
Public preprint / catalogue entry · publication status is separate from the journal articles above.A reading guide to the listed spatial-formation proposal. Organize its hierarchy of inner temporal roles and ask how generated relations become persistent, observable spatial structure.
Public preprint / catalogue entry · publication status is separate from the journal articles above.The glossary explains the vocabulary; the reading paths connect the ideas; the source register points to the original arguments.
