Overview
Cosmochrony proposes a minimalist ontological starting point: a single relational substrate χ whose dynamics are intrinsically irreversible. Time is not introduced as an external parameter, but corresponds to a directed relaxation (ordering) structure of χ.
A central distinction is drawn between the fundamental substrate χ and effective spacetime-level descriptions, collectively denoted χeff. These effective descriptors are meaningful only in projectable regimes, where stable geometric and causal notions can be consistently defined.
The projection from χ to effective observables is generally non-injective: distinct underlying configurations may correspond to operationally indistinguishable spacetime events or measurements. This introduces an intrinsic distinction between what is observable and what is resolvable: some structural degrees of freedom can be physically real while remaining irreconstructible “under the hood” within χeff.
Spacetime geometry is treated as an effective encoding of relational connectivity. In admissible regimes, spectral criteria and Laplacian-based reconstruction provide a concrete, operational pathway from relational structure to emergent metric notions, while predicting breakdown outside projectable domains.
Dynamical laws are not postulated at the substrate level, but arise from universal structural constraints on relaxation and projection. In projectable regimes, the effective action admits a Born–Infeld-like form, selected as a canonical encoding of bounded relaxation fluxes and causal saturation. This action is not fundamental to χ, but an auxiliary representation valid within effective spacetime descriptions.
The framework further introduces a projective thermodynamics: irreversibility and macroscopic arrows of time are tied not only to relaxation, but also to a projection entropy associated with non-injective identification of underlying states. In this view, effective heating, dissipation, and “thermodynamic” behavior can reflect projection saturation and informational degeneracy, not merely microscopic agitation.
Stable localized configurations of χ give rise to matter-like excitations, while topological and relaxation constraints underpin effective interactions. In particular, electric charge is interpreted as a chiral–torsional invariant of relaxation fluxes, with admissibility constraints favoring neutral large-scale sectors and pair-creation-like restoration mechanisms in extreme regimes.
Core statements (high level)
- Single-substrate ontology: one pre-geometric relational entity χ, not a field on spacetime.
- Projection hierarchy: spacetime quantities arise only in projectable regimes via χeff.
- Intrinsic irreversibility: time ordering reflects directed relaxation, not an external parameter.
- Non-injectivity: effective observables underdetermine the underlying configuration; observability differs from resolvability.
- Projective thermodynamics: projection entropy and saturation constrain effective macroscopic behavior and arrows of time.
- Derived dynamics: effective laws emerge from bounded relaxation and saturation constraints (Born–Infeld-like encoding).
- Emergent geometry: metric notions arise as an operational encoding of relational connectivity, accessible via spectral reconstruction in admissible regimes.
Articles and technical notes
The Cosmochrony framework is developed across a small set of focused articles addressing distinct structural aspects. Together, they form a coherent pipeline from relational structure to emergent geometry, effective dynamics, and quantum phenomenology.
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Spectral Reconstruction of Spacetime Geometry
Relational and spectral derivation of effective metric geometry without postulating a background manifold; regime diagnostics via spectral admissibility and breakdown criteria. -
Bell Inequality Violations from Non-Injective Projection
Structural origin of quantum correlations from non-injective effective descriptions, without invoking dynamical nonlocality, retrocausality, or hidden-variable dynamics. -
Born–Infeld Geometry from Bounded Relaxation
Emergence of non-linear Born–Infeld-like encoding and effective spacetime geometry from bounded relational relaxation and flux saturation in projectable regimes.
Quantitative program (selected targets)
Cosmochrony emphasizes falsifiable, quantitative targets. The current program prioritizes extracting effective parameters from structural constraints and comparing them to known scales and anomalies, in domains where the framework yields sharp signatures.
- Spectral invariants: robust eigenvalue hierarchies and spectral-dimension stabilization in admissible regimes.
- Strong-field thresholds: deprojection/saturation signatures near high-curvature regimes affecting effective propagation and observables.
- Cosmology: relaxation-driven effective expansion laws and quantitative comparison to late/early-universe inference (including Hubble-like limits).
- Galactic dynamics: rotation-curve and lensing signatures from relaxation constraints without adding matter components.
- QED-scale tests: bounded-relaxation corrections in regimes analogous to vacuum polarization and pair-creation thresholds.
Interactive exploration
Discussion assistants built on the full set of published Cosmochrony articles and documents. They can answer readers’ questions, provide progressive explanations, and clarify both conceptual and technical aspects of the framework.
References
Jérôme Beau. Cosmochrony: A Pre-geometric Framework for Emergent Spacetime, Dynamics, and Matter. Zenodo. DOI: 10.5281/zenodo.17957509