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Results for “foundations” 4 papers
Ultrametric. Non-Archimedean geometry: tree metrics, strong triangle inequality, hierarchical distance Tagged papers: 115.
Non‑Archimedean Statistical Foundations for a Fully Connected Reality
Standard parametric statistics assume independent, identically distributed (i.i.d.) observations, an assumption that fails when all events share a common causal ancestry encoded by an ultrametric (p‑adic) structure. This paper addresses the gap between classical significance testing and a fully…
Ultrametric Foundations for Quantum Dynamics: A $p$-Adic Calculus Approach
Fault-tolerant quantum processors demand error-correction overheads estimated at $10^{3}$–$10^{6}$ physical qubits per logical qubit, and each correction round dissipates energy through irreversible syndrome erasure. A proposed alternative models quantum dynamics over the $p$-adic fields…
The Observer Inside the Tree: Can Self-Location in an Ultrametric Structure Resolve the Inside/Outside Schism?
The 29-schisms framework claims to resolve the central schism of quantum foundations — S10, the observer inside vs. outside — by embedding the observer as a node in an ultrametric TREE structure, eliminating the need for an external vantage point. This paper subjects that claim to independent…
REIFICATION AND NON-ARCHIMEDEAN FOUNDATIONS IN THEORETICAL PHYSICS
This synthesis examines the persistent difficulties in contemporary theoretical physics through the lens of the Copernican diagnostic: the proliferation of unobservable entities (virtual particles, dark matter, the inflaton, etc.) signals not that nature is complex but that the descriptive framework…
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