Ordinary matter
An organized emergent Apeiron manifestation; established Standard-Model physics remains operative.
PUBLIC RESEARCH PAGE · SITE VERSION 16.2 · 21 SEP 2026
A HYPOTHESIS ABOUT A FUNDAMENTAL MEDIUM
A medium without end.
Apeiron asks whether space, gravity, matter and cosmic structure can be different states and organizations of one fundamental carrier.
APEIRON – COSMIC CYCLE HYPOTHESIS · CLICK TO ENLARGE
Framework hypothesis: one carrier – many manifestations.
Ordinary matter, dark matter and dark energy are not treated as fundamentally separate substances inside the Apeiron model. They are possible states, organizations or dynamics of the same carrier.
Ordinary matter, dark matter and dark energy are not treated as fundamentally separate substances inside the Apeiron model. They are possible states, organizations or dynamics of the same carrier.
CURRENT MODEL INTERPRETATION
Apeiron as one carrier.
Dark matter
Not fundamentally different matter, but a possible gravitational manifestation/state of Apeiron. Unknown particles remain experimentally possible.
Dark energy
A possible large-scale state or dynamics of the same carrier; no separate ontological substance is required.
Higgs & QCD
Possible organized low-energy manifestations of the same carrier; QCD remains SU(3). Hypothesis, not evidence.
Black holes
Extreme curvature may return organized Apeiron states toward more fundamental states. Feasibility: GO; observation: open.
AME-1 / v7.13
Frozen technical classification remains immutable; the current ontology does not change its numerical evidence boundary.
INTERNAL EFT / MICROSTRUCTURE
Internal EFT spectrum and constrained microscopic completion
The existing Apeiron EFT now admits a quantitatively controlled internal spectrum with a radial/heavy σ mode, a light phase mode θ and a Z₂-protected χ mode. Tree-level perturbative control extends to the nominal EFT scale. A minimal heavy, linearly coupled Gaussian scalar mediator constrains the microscopic completion to a bounded one-parameter family, 1 < MS/Λ ≲ 1.28824506. This is a conditional UV interpretation, not proof of fundamental Apeiron microphysics. The physical nonlocal response kernel is still required for an independent pole/mediator determination.
THERMODYNAMICS & INFORMATION
Reconversion is transformation, not erasure.
access region → conversion region → directed phase return to Apeiron
Within the Apeiron model, energy and information are not postulated to disappear in black-hole reconversion. Observable matter degrees of freedom are assumed to be transformed or re-encoded in Apeiron degrees of freedom. Information conservation is not equated with constant total entropy: entropy may be produced, redistributed or transferred into the Apeiron sector. The same distinction is applied to Genesis, where a comparatively low-entropy observable phase need not imply an entropy reset of the complete Apeiron system.
Model assumption, not experimental confirmation. A quantitative entropy balance and generalized-second-law-like test remain open.
Within the Apeiron model, energy and information are not postulated to disappear in black-hole reconversion. Observable matter degrees of freedom are assumed to be transformed or re-encoded in Apeiron degrees of freedom. Information conservation is not equated with constant total entropy: entropy may be produced, redistributed or transferred into the Apeiron sector. The same distinction is applied to Genesis, where a comparatively low-entropy observable phase need not imply an entropy reset of the complete Apeiron system.
Model assumption, not experimental confirmation. A quantitative entropy balance and generalized-second-law-like test remain open.
EMERGENT LIGHT SPEED / CAUSALITY
The universe phase has a causal cone.
The current Apeiron causality branch has reached FEASIBILITY_GO. The preferred interpretation is not that Apeiron acts as a classical refractive medium that slows photons from a higher ordinary speed. Instead, deeper Apeiron dynamics may generate a stable universe phase with one effective geometry and one universal finite limiting speed shared by light, matter and gravitational propagation.
At the tested static Frozen vacuum, the existing σ–θ–χ micro-EFT already has a common linear causal cone at tree level: MICRO_CONE_PASS_AT_TREE_LEVEL.
Open: the fundamental origin of Lorentz symmetry and first-principles mono-metricity are not yet derived (FUNDAMENTAL_LORENTZ_ORIGIN_OPEN).
At the tested static Frozen vacuum, the existing σ–θ–χ micro-EFT already has a common linear causal cone at tree level: MICRO_CONE_PASS_AT_TREE_LEVEL.
Open: the fundamental origin of Lorentz symmetry and first-principles mono-metricity are not yet derived (FUNDAMENTAL_LORENTZ_ORIGIN_OPEN).
CURRENT SCIENTIFIC EXTENSIONS
Quantum Entanglement
Apeiron can consistently accommodate quantum entanglement if its fundamental carrier is quantum and supports non-separable states, rather than being a classical local hidden-variable medium.
Two entangled systems may be spatially separated while remaining manifestations of one underlying Apeiron quantum state. Spatial separation does not imply fundamental separability. With standard quantum measurement rules retained, the construction is Bell-compatible and preserves no-signalling. No faster-than-light signal is required; local disturbances remain subject to the effective causal cone.
APEIRON–ENTANGLEMENT: SCIENTIFIC FEASIBILITY GO
Conditional structural feasibility only; not empirical confirmation or AP1_GO.
Claim boundary: currently no experimentally distinct prediction versus standard quantum mechanics; no derivation of the Born rule or the full quantum formalism from Apeiron microdynamics; no claim to supersede quantum mechanics.
Two entangled systems may be spatially separated while remaining manifestations of one underlying Apeiron quantum state. Spatial separation does not imply fundamental separability. With standard quantum measurement rules retained, the construction is Bell-compatible and preserves no-signalling. No faster-than-light signal is required; local disturbances remain subject to the effective causal cone.
APEIRON–ENTANGLEMENT: SCIENTIFIC FEASIBILITY GO
Conditional structural feasibility only; not empirical confirmation or AP1_GO.
Claim boundary: currently no experimentally distinct prediction versus standard quantum mechanics; no derivation of the Born rule or the full quantum formalism from Apeiron microdynamics; no claim to supersede quantum mechanics.
DOCUMENTATION
Updated documents
Preprint v1.6Current canonical preprint · 21 Sep 2026
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Microstructure / UV Technical AppendixInternal EFT spectrum, loop block and bounded UV family
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Causality Technical AppendixEmergent universal cone, tree-level micro-cone and open Lorentz origin
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Canonical Model Specification v1.5Current controlled model specification
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Claims Register v1.6Derived / conditional / bounded / unresolved claims
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Gap Report v1.5Closed results and remaining open tests
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Version Note v1.6Entanglement feasibility integration and preserved claim boundaries
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Version Note / Erratum v1.4Corrected X² coefficient and dependent unitarity value
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Change Summary v1.2 → v1.3Publication changes and historical traceability
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Preprint v1.2 · historicalPrevious canonical version retained unchanged
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Appendix A v1.1Prediction roadmap / falsifiable predictions
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Reproducibility Archive (frozen)Unchanged frozen numerical archive
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CLAIM BOUNDARY
Scientific boundary
Derived / controlled: the frozen numerical classification within its stated scope, the bounded internal EFT/UV results, structural BH-reconversion feasibility, and the causality results FEASIBILITY_GO and MICRO_CONE_PASS_AT_TREE_LEVEL in their tested domains.
Framework hypothesis, not derived: Apeiron as the physical carrier of the cosmos; matter/DM/DE/Higgs/QCD as Apeiron manifestations; Genesis/cycle as established cosmology; or BH reconversion as an observation.
Open: full physical nonlocal response, externally executable reproduction, long-time/cosmological stability, quantitative entropy balance, first-principles Lorentz/mono-metric origin, and a discriminating prediction outside the local construction domain.
Scientific-feasibility GO for the specified local/structural construction
Not AP1_GO · not empirical confirmation · not a complete cosmological theory