Quantum Structural Theory of Harmony (QSTH 6.1) — Entropic Zero (E0) & Entropic Stars: Operational Definitions, Null Tests, and Gaia Astrometric Microlensing Pipeline

This Zenodo bundle presents QSTH 6.1 as a CORE-first, audit-friendly pathway from an operational definition to protocol discipline, null tests, and publishable constraints. Scope & epistemic status (CORE-safe):E0 (Entropic Zero) is introduced as an operationally defined test handle: a clear claim paired with a clear protocol and explicit falsification criteria. The framework is designed to remain valuable under null outcomes (constraints and regime-boundary updates) and to require stability + replication gates for any positive signal. “Entropic stars” are treated as candidate classes defined by operational handles and hard null tests (not as confirmed new astrophysical objects). Core attachments (recommended reading order): Entropic Zero (E0): Operational Definition, Protocol, and Falsification Map– definition of cut Γ, bounded window W, tolerance δ; outcomes (A/B/C); mandatory null-test suite; worked “Protocol Box”. Entropic Stars: Operational Handles, Signatures, and Null Tests– candidate taxonomy expressed as handle → signature → null test, plus discriminants across EM/lensing/timing and multi-messenger channels. Gaia Astrometric Microlensing (EADOs): A Minimal Falsifiable Analysis Pathway– staged pipeline (A–D), systematics kill-list, validation steps, and publishable outputs (detections or upper bounds/constraints). Supplementary attachments: E0 Candidate Checklist (1-page) – rapid screening + decision hygiene. E0 Candidate Scorecard (template) – audit-friendly reporting (W, δ, stability margin, null tests, replication). Intended use:The bundle is designed for reproducible candidate evaluation and constraint setting. Interpretations are kept subordinate to protocol outcomes and the declared null-test suite. We propose extending the typology of Entropic Stars with an ER-type (Embedded-Relic Entropic Star): a star hosting an embedded compact relic (e.g., a primordial black hole) that acts as a long-lived internal entropy driver (sink/source) and can redirect the star’s evolutionary track. In such a scenario, the star may appear evolutionarily “odd” (e.g., unusually cool/extended for its population) because internal accretion feedback modifies energy transport and radiative balance. Crucially, this is not a test-free speculation: models of “PBH-in-stars / Hawking stars” motivate asteroseismology/pulsation signatures as a way to distinguish an embedded relic from standard astrophysical explanations of anomalous stars. In our framework, ER-type is presented as an archetype—latent internal sink/source → measurable macroscopic deviation—as a complement to EO-type and the general ES-type, without making a claim about dark matter. EO-type (Entropic Zero) — star with a core operating near an “entropic-zero” stabilization limit/boundary. ES-type (Entropic Star, general) — evolution governed by a non-trivial ΔS flow (coherence ↔ reduction) beyond pure thermal equilibrium. ER-type (Embedded-Relic) — embedded relic (PBH/compact object) acting as an internal sink/source that rewrites the evolutionary track (testable via seismology). EA-type (Entropic-Annihilation) — internal power from annihilation/conversion of a dark component (DM-powered analog; framed typologically). ED-type (Entropic-Dissipation) — sustained anomalous dissipation (turbulence/extra mixing/friction) shifting HRD evolution over long timescales. EM-type (Entropic-Magnetic) — magnetic-field-driven entropic reorganization affecting transport and layer stability. EN-type (Entropic-Neutrino) — regime where neutrino channels substantially reshape the energy budget (silent cooling + structural signatures). EP-type (Entropic-Phase-Transition) — core undergoing a structural/quantum phase transition leaving observable internal-profile fingerprints. EB-type (Entropic-Binary) — binary interaction as an “entropic switch” (mass transfer/inspiral as a long-term driver). UCR news (summary + emphasis on asteroseismology test):https://www.physics.ucr.edu/news/2025/01/23/how-we-might-finally-find-black-holes-cosmic-dawn Nature Astronomy – “Black hole Sun” (Research Highlight):https://www.nature.com/articles/s41550-024-02214-x.pdf Terminology note (QSTH labels). In QSTH we use ES as a navigational label for “stars with an entropic driver”; it is an internal mapping rather than a borrowed standard term. We distinguish (i) Entropic Stars (ES)—cases where the deviation is rooted in internal structure and energy transport (“radiate from within”)—from (ii) Entropic Cores/Gates (ECO)—compact-object systems (BH/NS/WD) where the observed variability is typically produced in surrounding accretion plasma and magnetic dynamics (“radiate from without”). Related QSTH Zenodo records (recommended entry points) QSTH 1.0 — Foundational Publication — DOI: 10.5281/zenodo.17455814QSTH 1.0 — Horizon Set — DOI: 10.5281/zenodo.18015679QSTH 4.1 — Planckian Horizon 2.0: The Entropic Bridge between Quantum and Cosmological Reality — DOI: 10.5281/zenodo.17899867QSTH 5.2 — OMEG: The Operational Metric Plane of Entropic Geometrodynamics — DOI: 10.5281/zenodo.17937840QSTH 6.0 — The Info-Dim (I-Dim) Package — DOI: 10.5281/zenodo.18156387QSTH 6.1 — Entropic Zero (E0) & Entropic Stars — DOI: 10.5281/zenodo.18165254QSTH 6.2 — Vacuum as an Entropic Ledger and the Origin of Baryon Asymmetry — DOI: 10.5281/zenodo.18641674QSTH 6.3 — Ledger Reality Reconstruction: I-Dim Mediation, DM/DE, and Arrow-of-Time Diagnostics (with the Eddington Paradox) — DOI: 10.5281/zenodo.18646924QSTH 6.4 — QSTH vs. Feynman Diagrams — DOI: 10.5281/zenodo.18648120QSTH 6.5 — Planckian Horizon 2.0 as a Ledger Boundary — DOI: 10.5281/zenodo.18649631QSTH 6.6 — Planckian Horizon 2.0 as an Operational Entropic-Coherence Principle — DOI: 10.5281/zenodo.18701036QSTH 6.7 — Variational Entropic Lagrangian (R10) — DOI: 10.5281/zenodo.18715255QSTH 6.8 — Mendeleev Table of Relationships among Physical Constants — DOI: 10.5281/zenodo.18762028QSTH 6.9 — I-Dim Elementary Coupling and Semi-I-Dim Classification of the Fine Structure Constant α ≈ 1/137 — DOI: 10.5281/zenodo.18864069QSTH 6.10 — The Fifth Dimension as an Account: A Ledger Formulation in (3+1)D — DOI: 10.5281/zenodo.18871791QSTH 6.11 — The Galois Ledger: Horizon Projection Π : Ω → 𝓛, Gauge Redundancy G, and Operational Invariants S/T/J — DOI: 10.5281/zenodo.18879079QSTH 6.12 — The Emergence of Dimensions as an Entropic Reconstruction — DOI: 10.5281/zenodo.18899448