This record contains version 0.5 of the Epsilon–Theta (ET) Framework Reader’s Guide. The Reader’s Guide is a non-normative, human-facing entry point to the ET Framework document suite. It explains the purpose, structure, and intended interpretation of the ET Framework without replacing the normative documents. The ET Framework is a baseline-relative residual, diagnostic, and sensitivity-reporting framework for finite Bell scenarios. It is designed to help describe declared observable departures from an explicit baseline probability model, including static residual structure and temporal or order-dependent diagnostics, under declared calibration and reporting protocols. This guide explains how the ET Framework Meta-Specification, the ET-CS-222 scenario pack, and the ET-CS-222 companion supplements fit together. It also clarifies what ET is and is not: ET is not a new physical theory, not a new Bell inequality, and not a replacement for Bell-valid significance analyses, loophole-specific experimental audits, device-independent security proofs, or quantum-set compatibility tools. Instead, ET is intended as a complementary layer for baseline-relative residual, temporal, and sensitivity reporting. The guide is intended for readers who want to understand the ET document suite before reading the formal Meta-Specification or the scenario-specific ET-CS-222 documents. It summarizes the residual-first principle, the epsilon/theta split, the role of scenario packs, the meaning of non-detection statements, the relation to existing Bell-analysis tools, and the recommended order for reading the ET documents. This Reader’s Guide refers to two separately published ET records: 1. The ET Framework Meta-Specification v0.5, DOI: 10.5281/zenodo.20472966.2. The ET-CS-222 Scenario Pack and Companion Supplements v0.7, DOI: 10.5281/zenodo.20474207. This release should be cited when referring specifically to the reader-facing overview and explanatory entry point to the ET Framework document suite. The Meta-Specification and ET-CS-222 package should be cited separately when referring to the normative framework-level contract or the canonical 2x2x2 scenario-pack specification.
This record contains version 0.5 of the Epsilon–Theta (ET) Framework Reader’s Guide. The Reader’s Guide is a non-normative, human-facing entry point to the ET Framework document suite. It explains the purpose, structure, and intended interpretation of the ET Framework without replacing the normative documents. The ET Framework is a baseline-relative residual, diagnostic, and sensitivity-reporting framework for finite Bell scenarios. It is designed to help describe declared observable departures from an explicit baseline probability model, including static residual structure and temporal or order-dependent diagnostics, under declared calibration and reporting protocols. This guide explains how the ET Framework Meta-Specification, the ET-CS-222 scenario pack, and the ET-CS-222 companion supplements fit together. It also clarifies what ET is and is not: ET is not a new physical theory, not a new Bell inequality, and not a replacement for Bell-valid significance analyses, loophole-specific experimental audits, device-independent security proofs, or quantum-set compatibility tools. Instead, ET is intended as a complementary layer for baseline-relative residual, temporal, and sensitivity reporting. The guide is intended for readers who want to understand the ET document suite before reading the formal Meta-Specification or the scenario-specific ET-CS-222 documents. It summarizes the residual-first principle, the epsilon/theta split, the role of scenario packs, the meaning of non-detection statements, the relation to existing Bell-analysis tools, and the recommended order for reading the ET documents. This Reader’s Guide refers to two separately published ET records: 1. The ET Framework Meta-Specification v0.5, DOI: 10.5281/zenodo.20472966.2. The ET-CS-222 Scenario Pack and Companion Supplements v0.7, DOI: 10.5281/zenodo.20474207. This release should be cited when referring specifically to the reader-facing overview and explanatory entry point to the ET Framework document suite. The Meta-Specification and ET-CS-222 package should be cited separately when referring to the normative framework-level contract or the canonical 2x2x2 scenario-pack specification.
This record contains version 0.5 of the Epsilon–Theta (ET) Framework Meta-Specification: a framework-level specification for baseline-relative deviation analysis in finite bipartite Bell scenarios. The ET framework defines a residual-first language for comparing observed Bell data with an explicit baseline probability model. Its primary object is the full observable residual table, from which scalar radii, compressed static summaries, Bell-functional projections, no-signalling diagnostics, and temporal diagnostics may be derived under declared conventions. The framework separates two complementary layers of analysis. The epsilon layer describes static, baseline-relative deviations in conditional probability tables. The theta layer provides a generic contract for temporal, order-dependent, or higher-order diagnostics, such as memory, drift, block dependence, and settings-time confounding, under declared calibration protocols. This Meta-Spec defines the framework-level contract: scope, baseline modes, residual-first principle, conformance classes, reporting requirements, calibration discipline, extension rules, and the relationship between the general framework and named scenario packs. It does not define a universal compressed residual vector, universal Bell functional, or universal temporal statistic. Those objects are intentionally delegated to scenario-specific packs. The document is not a new physical theory, not a new Bell inequality, and not a replacement for Bell-valid significance analyses, loophole-specific experimental audits, device-independent security proofs, or quantum-set compatibility tools. Instead, ET is intended as a complementary reporting, diagnostic, and sensitivity framework for declared classes of baseline-relative observable departures. The canonical 2x2x2 binary-outcome scenario is specified separately in the ET-CS-222 scenario pack and its companion supplements. Future versions of the Meta-Spec may extend the framework-level contract to additional Bell-scenario families, such as multipartite, network, or adaptive settings.
This record contains release v0.7 of the ET-CS-222 document package for the Epsilon–Theta (ET) Framework. ET-CS-222 is the scenario-pack specification for the canonical 2x2x2 binary-outcome Bell case. It is designed for use with the ET Framework Meta-Specification v0.5, published separately at DOI 10.5281/zenodo.20472966. The package includes four PDF documents: 1. ET-CS-222 Scenario Pack Supplement This document defines the scenario-specific ET core for the canonical 2x2x2 binary-outcome Bell case. It fixes the supported baseline modes, the default profiled quantum baseline family, the 8-component compressed static residual interface, no-signalling diagnostics, core Bell-style projections, and the core temporal diagnostic structure. 2. ET-CS-222 Companion Supplement: Recommended Analysis Workflow This non-normative companion describes a recommended analysis sequence for applying ET-CS-222, including preprocessing declarations, baseline selection, cross-fit structure, block bootstrap uncertainty, theta-layer diagnostics, reporting cards, red flags, and optional extensions. 3. ET-CS-222 Companion Supplement: Worked Example (A–C) This non-normative companion provides synthetic worked examples illustrating the ET-CS-222 workflow: a null i.i.d. case, a CHSH-blind static deviation, and a purely temporal/order-dependent structure that is invisible to static counts. 4. ET-CS-222 Companion Supplement: Sensitivity Certificates for the 8-Component Static Interface This non-normative companion defines simultaneous ellipsoidal sensitivity certificates for the 8-component compressed static residual vector. It provides baseline-relative, finite-sample-calibrated bounds for declared linear functionals in the fixed ET-CS-222 static interface. Together, these documents instantiate the framework-level ET Meta-Specification for a concrete finite Bell scenario. The scenario pack is the normative ET-CS-222 specification; the workflow, worked example, and sensitivity certificate are companion supplements intended to support reproducible use, interpretation, and reporting. The package does not introduce a new physical theory, a new Bell inequality, or a replacement for Bell-valid significance analyses, loophole-specific experimental audits, device-independent security proofs, or quantum-set compatibility tools. Instead, it provides a scenario-specific residual, temporal-diagnostic, and sensitivity-reporting layer for declared baseline-relative observable departures in the canonical 2x2x2 Bell setting. This release should be cited when referring to the ET-CS-222 scenario pack and its companion supplements as a document package. The ET Framework Meta-Specification v0.5 should be cited separately when referring to the framework-level ET contract.
This technical supplement establishes the rigorous mathematical foundation for the coupling parameter alpha and the off-diagonal winding-basis operator C-hat within the Epsilon (epsilon) Framework. By replacing the unphysical zero-point void with an irreducible ground-state plenum governed by the foundational axiom not-exists-zero, the framework eliminates adjustable fitting parameters. We detail the five-level nested Hilbert space architecture, derive the exact analytical expression for alpha via the trace of operator norms and the excess mass-charge coupling ratio eta_mass, formalize the epsilon-deformed position-momentum commutation relation, and outline a concrete, falsifiable dual-species Bose-Einstein Condensate (BEC) Feshbach tuning protocol to detect the predicted residual energy floor. This document serves as a methodological companion to the core preprint series on Zenodo.
This document provides a complete operational guide for the correct use of the correlational physical framework developed across the foundational volumes and canonical papers of this project. The purpose of this manual is strictly methodological and technical. No new ontological assumptions are introduced. No new physical postulates are added. No empirical claims or speculative interpretations are proposed. Instead, the manual serves to: Explicitly separate ontology, formalism, realization, and interpretation. Define the admissible use of correlational configuration spaces, consistency functionals, flows, operators, and projections. Specify the precise conditions under which effective physical regimes (quantum, classical, geometric, decoherent) may be identified. Provide a complete step-by-step operational pipeline from abstract correlational configurations to quantitative physical outputs. Clarify limits, failure modes, and non-physical configurations to prevent category errors and overinterpretation. The document is intended for researchers who wish to apply the correlational framework in concrete physical contexts, construct toy models, perform numerical analysis, or compare effective predictions with known experimental data—without modifying the foundational structure of the theory. This manual should be read as a user-level technical companion to the foundational and canonical papers. It does not replace them, but ensures their correct and consistent application.
Addendum VIII (Version 2) is an extension of the core publication The Berg Theory: A scalar–tensor energy web as a common foundation of space–time, gravitation, quantum phenomena, and entropy (core article collection DOI: 10.5281/zenodo.17937466). It records an audit-ready, fit-ready coherence module for two-path interference, measurement, decoherence, and entanglement, and adds a laboratory-facing interface to quantum-processor diagnostics. The operational backbone is intentionally mainstream-compatible: two-path interference is tracked through measured fringe visibility as the primary coherence proxy, and visibility loss is linked to the physical creation of which-way records via the standard environment-overlap mechanism. The Berg-specific contribution is isolated as a comparative hypothesis: a background-response factor (denoted Xi_Psi in the manuscript) that may rescale the effective decoherence response under carefully defined regime comparisons. Some regime changes are used only to calibrate and verify laboratory couplings (dial checks), while Xi_Psi is tested only under regime changes explicitly designed to keep the laboratory coupling unchanged within declared tolerances. The addendum is designed so that the default outcome is a bound: if no reproducible residual survives controls, the correct report is consistency with the null case in the tested regime. Version 2 strengthens falsifiability and reviewer-robustness by adding: a strict separation between “dimensionless decoherence exponents” and “decoherence rates” to avoid notational ambiguity, an explicit complementarity sanity check as a pipeline diagnostic, an operational regime definition (reference / modified / placebo) with logging requirements, plus blinded analysis and placebo discipline to protect against hidden drift and p-hacking (with the chosen Xi_Psi parametrization pre-declared before unblinding), fit-ready experimental routes for (A) residual coherence in two-path interferometers and (B) entanglement-lifetime curves based on CHSH-type tests, including practical detectability budgets, a quantum-processor section that turns coherence-language into laboratory diagnostics (correlated noise, memory effects, noise spectroscopy) with explicit null hypotheses and significance discipline, and tests a Berg-specific delta: whether any residual structure shows regime dependence under the same placebo/blinding audit rules used for interferometers. Two compact appendices provide independent numerical scale anchors: a double-slit fringe-spacing benchmark (including an electron-scale reference) and a tunneling benchmark included solely as a verified exponential-law boundary-value sanity check complementary to coherence-loss diagnostics.
Title: Meta-Tagging and Typing Physics: A Regime-Typed Closure Standard for Disambiguation (Normative) Description: This document is the normative spine of the TypedClosure bundle. It does not introduce a new physical theory. It freezes a minimal, attackable standard for discussing physics without regime drift — a discipline for forcing explicit separation between what is recorded, what is inferred to connect records, and what is interpreted as meaning. The core problem it addresses is that modern physics routinely mixes, in the same sentence, three distinct kinds of statement: committed records (what was measured), inferred structure connecting records (what is assumed to fill the gaps), and interpretive meaning (what it signifies). Without explicit regime typing, an inference quietly becomes treated as a recorded fact, or a local closure regime is assumed universal. The standard makes this mixing a hard failure condition rather than an ambiguity to be argued about. Two regimes are declared as primitives. Q (quantum-like / pre-record) is the regime of admissible relational reconfiguration without required sequential record — it provides configuration space, compatibility structure, and no intrinsic sequencing requirement. NQ (non-quantum / committed record) is the regime of committed, serialised, ordered records. NQv1 denotes the particular closure regime in which we as record-bearing systems operate, including spacetime notions, physical constants, and measurement practices, without assuming these are universal. The single loop skeleton unifies the entire stack: NQ → (lift/read) → Q → (admissible reconfigure) → Q → (close/commit) → NQ, repeated. Every record-to-record transition is factored through a Q bridge; the Q-internal degrees of freedom are then projected out to yield an effective NQ→NQ transition kernel. The notation (NQ Q NQ / Q)_loop is given a precise typed meaning: "/" is not division but projection/marginalization over Q-internal structure. This loop provides the common implementation skeleton for the solver (forward run plus backward audit), makes quantum-versus-non-quantum a typing difference rather than a new ontology, and makes falsification mechanical: a claimed NQ→NQ transition that cannot be factored through any declared Q admissibility path and closure rule fails Axiom 4. Eight axioms form the frozen spine. Axiom 0 asserts only that distinguishability exists. Axioms 1 and 2 declare Q and NQ. Axiom 3 (no realized state lasts) excludes absolute permanence under all admissible perturbations. Axiom 4 (no miracle jumps) requires an admissible relational path between any two ordered records. Axiom 5 (bookkeeping invariant) requires at least one ledger functional preserved across admissible transitions. Axiom 6 (bias is accumulated persistence) defines learning as what persists updating bias, with no teleology assumed. Axiom 7 (degrees of freedom shape admissibility) acknowledges that many axiom sets are possible and only some instantiate as NQv1. Axiom 8 (regime typing is mandatory) makes every untyped claim invalid within the standard. Tags and globs implement the disambiguation discipline. A tag is a binary Y/N gate enforcing distinction at closure. A glob is a declared tolerance band permitting overlap near boundaries, with a mandatory collapse trigger: when the trigger fires, the glob must resolve to a tag. Globs may not be widened post hoc without re-declaring constraints and re-running audits. The toy example (a threshold detector near its decision boundary) demonstrates that a single physical situation supports two distinct legitimate statements — an uncommitted Q read and a committed NQ record — and that without regime typing these collapse into one ambiguous "fact." The audit protocol treats verification as convergent cross-checking across five independent channels: linguistic algebra (meta-tags and typed headers), mathematics (symbolic operators on declared spaces), geometric algebra (closure geometry and curvature-style reasoning), URM/DSL (machine-facing normalisation under solver specs), and CGI geometry (simulation witness when available). A forward run executes implied operators and checks ledger invariants. A backward audit reverses the chain and identifies any untagged primitives; an untagged primitive appearing in the backward audit is a hard failure. Minimal pseudo-code for the solver loop is provided. Derived terms — decoherence, entropy, causality, budget/inertia/spend — are permitted only as typed descriptors under declared regimes, not as untyped ontological claims. Each is given its precise regime typing. Budget, inertia, spend, and spend-rate are explicitly flagged as NQv1-interpretive descriptors that must reduce to standard quantities under unit choice and representation. Four explicit failure modes are declared: ledger failure (invariant violates declared tolerance — hard fail), regime drift (NQ terms used under Q tag or vice versa — hard fail), glob abuse (tolerance widened post hoc without re-declaration — hard fail), and empirical mismatch (Work[Q] holds but Work[NQv1] fails — soft fail, indicating either a different closure regime or an incomplete representation map). This document is the entry point for the entire TypedClosure stack. Application papers (black holes, Navier–Stokes, Lorentz regime, double-slit) demonstrate the discipline on real targets. Bridge papers make cross-regime degrees of freedom explicit. The Equation Library maps common physical equations into Info/Change/Gate/Ledger roles. This normative standard is what all of them are governed by. Bundle DOI: 10.5281/zenodo.18777607 Keywords: typed closure, regime typing, meta-tagging, normative standard, Q regime, NQ regime, NQv1, tags, globs, collapse trigger, bookkeeping invariant, audit protocol, solver loop, forward run, backward audit, falsification, regime drift, decoherence, entropy, causality, disambiguation, admissibility, distinguishability, axioms, single loop skeleton, measurement, record, pre-record, non-quantum, quantum-like, closure standard, physics foundations