Audit the foundations.
Preserve what survives.
Foundations Audit is an open evidence observatory for fundamental science. By separating admitted physical starting conditions from derived mathematical structures, it provides an uncompromising audit framework that preserves negative results, exposes concept smuggling, and tracks genuine scientific survival.
Physical actuality admitted. Downstream success cannot derive ontology.
Implicit & explicit definability of instantiation fails over formal reduct.
Duration tracks parameter time iff Fisher information is constant positive a.e.
Provisional closure: no unique metric or Einstein field equations emergent.
THREE-PART ARCHITECTURAL SEPARATION
How Foundations Audit Operates
To prevent dogma and circular validation, the framework is cleanly partitioned into theory-neutral governance, verification testing, and constructive theory reconstruction.
Constitutional Kernel (K1–K9)
The non-negotiable epistemological foundation. Dictates that physical actuality is admitted rather than derived (K1), all carriers must be declared (K3), witness completeness is typed (K4), and plural or null outcomes remain valid scientific resolutions (K9).
- K1: Admitted Actuality
- K3: Complete Carrier Declaration
- K8: Nonretroactivity Firewall
The Audit Engine
The systematic testing machine. Evaluates submitted claims against carrier completeness, witness access, and the Paired-Expansion Nondefinability (P.E.N.) theorem. Enforces target firewalls and assigns standardized claim ceilings.
- P.E.N. Definability Verification
- Anti-Smuggling Diagnostics
- 10 Registered Reopening Triggers
COR Theory Stack
The authoritative conditional reconstruction theory. Builds upwards from admitted Layer 0 events through Layer 1 records, Layer 2 Fisher clocks, and Layer 3 relational geometry. Universally replaces ETP while preserving OIRP and ETP in historical lineage.
- Fisher-Clock Correspondence
- Sector Lieb-Robinson Diagnostics
- Spacetime Dynamics Closure
RIGOROUS VERIFICATION METHODOLOGY
How a Scientific Claim is Audited
Step by step, the Audit Engine interrogates proposed theoretical derivations to ensure unstated assumptions are surfaced and claim ceilings are strictly preserved.
Declaration & Bridge Intake
The claim author must explicitly declare the physical bridge J_phys connecting formal mathematical objects to admitted preparations, instruments, and calibrations. Formal syntax is strictly separated from physical existence.
Explicit declaration of model class, bridge, equivalence relations, and operational scope.
Claim is rejected as ungrounded syntax until physical bridge is supplied.
FOUNDATIONAL STATUS & RESEARCH MAP
Research Map & Status with Explicit Caveats
Explore the dependency landscape of Foundations Audit. All conclusions are bounded by explicit claim ceilings; negative results, unselected metrics, and open questions remain permanently visible.
Claim Boundary & Exclusions Audit
What Is Claimed (Within Scope)
- •Scientific claims must be traceable to explicitly declared physical carriers, access structures, and witness classes.
- •Physical actuality is admitted as an observed starting package, not derived as an ultimate ontological necessity.
- •Countermodels, null results, and underdetermination are scientifically successful outcomes that prevent premature consensus.
- •The Constitutional Kernel (K1–K9) governs both the Audit Engine and the public Conditional Operational Reconstruction (COR) theory stack.
What Is NOT Claimed (Prohibited Inferences)
- •Does NOT assert that physical actuality or quantum mechanics has been derived from pure logic, mathematics, or information.
- •Does NOT claim that ETP or COR has replaced standard physics or achieved experimental laboratory confirmation on quantum hardware.
- •Does NOT claim a unique, universal cosmological time coordinate, an emergent Lorentzian metric, or a derived Einstein field equation.
- •PUB-03 is internal diagnostic tooling and is NEVER marketed or presented as a scientific discovery.
Constitutional Kernel (K1–K9)
Theory-neutral governance principles: Admitted Actuality, Complete Carrier, Typed Nullity, and Nonretroactivity.
P.E.N. Model-Theoretic Boundary
Paired-Expansion Nondefinability Theorem: formal reducts cannot implicitly or explicitly define physical instantiation.
Target Firewalls & Anti-Smuggling
Strict separation between Target I (Instantiation), Target II (Events), and Target III (Operational Reconstruction).
Quantum Darwinism Survival Theorem
Common-pointer conservation and redundant records under hidden-controlled interaction families.
Hidden-Control Objectivity Diagnostics
Two-gate certification: Delta_rec common-record commutator check and environmental fragment redundancy.
Objectivity vs Causal Nonseparability
Independence Theorem: environmental objectivity and indefinite causal order neither imply nor require each other.
Postselection Tradeoff Theorem
Universal information budget: average postselection gain cannot exceed control conditional mutual information.
Plural Memory Constitution (OIRP-11)
Separation of Markov order, capacity, and recovery. No primitive storage container.
Fisher-Clock Correspondence
Necessary and sufficient condition for parameter time to match operational duration via accessible Fisher information.
Loop Holonomy Synchronization
A comparison network of local clocks admits global time iff every closed loop has identity holonomy.
Clock Adequacy Breakdown
Explicit nonunitary model showing loss of Fisher adequacy and record collapse.
Sector-Family Locality Diagnostics
Separation of C_inf (uniform norm), C_1 (weighted norm), and C_bar (averaged commutator norm) over graph sectors.
Lower-Front Sector Obstruction
Proves that essential unboundedness of sector velocities precludes uniform exponential propagation envelopes.
Spacetime Dynamics Provisional Closure
Higher geometry, Einstein dynamics, and gravity remain unresolved and reopenable. Hardware EOB is closed negative.
OIRP Core Conditional Closure
Observer-Invariant Reconstruction Program closed as a truth-first constitutional framework, not an active substrate theory.
OIRP-S2 Composite Certification
Constituent certification does not automatically certify composites. CP4.1–CP4.3 restricted closures.
Universal Theory Evolution (ETP to COR)
Formal protocol establishing COR Theory as the universal replacement of ETP, with permanent retention of ETP historical manuscript lineage.
Select a node to inspect
Click any research checkpoint in the map to view prerequisites and claim status.
AUDITED THEOREMS & RIGOROUS BOUNDARIES
Featured Results and Countermodels
Fisher-Clock Correspondence Theorem
Proves that operational clock duration matches dynamical parameter time if and only if accessible Fisher information is strictly positive and constant almost everywhere after calibration.
Objectivity vs. Causal Nonseparability
The Independence Theorem proves that environmental objectivity and quantum-controlled operation order (indefinite causal order) are independent operational resources.
Universal Postselection Information Budget
Proves that postselecting quantum measurements redistributes existing correlation but cannot amplify classical pointer records beyond the control conditional mutual information.
Hidden-Control Objectivity Failure
Demonstrates that when interaction channels are hidden, sectorwise decoherence can report apparent objectivity even though observers lack any commonly preserved classical record.
Dephasing Clock Adequacy Collapse
Constructs an explicit open quantum evolution where nonunitary dephasing destroys accessible Fisher information, demonstrating that record growth does not imply clock adequacy.
Spacetime Dynamics & Gravity Limits
Higher geometry and spacetime dynamics are provisionally closed as unresolved and reopenable: no unique physical metric, Lorentzian signature, or Einstein dynamics is derived.
CRYPTOGRAPHIC VERIFIABILITY & PROVENANCE
An Immutable Provenance Trail for Every Finding
Every document in the Foundations Audit corpus is fingerprinted by a cryptographic SHA-256 digest, timestamped, and tied to an immutable predecessor chain. No file becomes controlling merely because it is newer, renamed, or duplicated.
Cumulative Corpus Authority Register. Governs controlling vs. supporting status, release controls, and Constitutional Kernel K1–K9.
SHA-256: ebc3e963089c3d79...
Controlling Cumulative Theory Synthesis. Unifies relational state assignment, recoverability, duration, causal structure, and local arrow.
SHA-256: 02a884082f57b2eb...
Controlling Layer 2 Temporal Reconstruction Authority. Operational duration, Fisher-clock correspondence, clock adequacy, comparison transducers, and holonomy.
SHA-256: a61bfef579029a68...
Controlling Layer 3 Geometry Blueprint. Higher geometry, spacetime dynamics handoff, and provisional closure as unresolved and reopenable.
SHA-256: cc5ceaee0b6c3b06...
OPEN SCIENTIFIC COOPERATION & PEER CHALLENGE
Inspect, Challenge, Cite, or Collaborate
Foundations Audit exists to be tested. If you have identified an unstated carrier assumption, a countermodel to a stated theorem, or an experimental bridge that discriminates rival frameworks, we invite formal submission.
Challenge an Audited Claim
Submit a formal mathematical counterexample, report an unstated carrier, or trigger one of the 10 Constitutional Reopening Gates.
Inspect the Dependency Map
Trace how every theorem depends on the Constitutional Kernel, Layer 1 records, and Layer 2 Fisher clocks in an interactive graph.
Cite Manuscripts & Data
Export standard BibTeX and APA citations, and download verified SHA-256 manuscript extracts for research and replication.