Cosmochrony is a pre-geometric relational framework in which time ordering, spacetime geometry, gravitation, gauge structure, and matter emerge from the irreversible relaxation of a single relational substrate, denoted $\chi$.

No fundamental spacetime, metric tensor, gauge field, or quantization postulate is introduced at the ontological level. All familiar physical structures arise as regime-dependent effective descriptions, obtained through a generally non-injective projection $\Pi : \chi \longrightarrow \chi_{\mathrm{eff}}$.

Physical time corresponds to the intrinsic, directed ordering of $\chi$ relaxation. It is not a background parameter but a derived operational ordering.

Observable states correspond to equivalence classes of underlying $\chi$ configurations. This structural non-injectivity accounts for:

• quantum indeterminacy,
• contextuality,
• Bell inequality violations, without invoking fundamental stochasticity or nonlocal signals.

A universal bound on relaxation flux ($|\partial_t \chi| \le c_\chi$) leads uniquely to a Born–Infeld-type effective action. This provides:

• non-singular strong-field behavior,
• causal saturation,
• a unified treatment of high-energy and low-density regimes.

Gravity arises from sustained inhibition of relaxation ordering. In the projectable regime, this is encoded geometrically and reproduces:

• Schwarzschild solution,
• weak-field phenomenology,
• gravitational redshift and Shapiro delay.

Gauge symmetry is identified with the connection associated to the projection fiber. Electric charge appears as a structural invariant of relaxation flux orientation, rather than as a fundamental gauge field postulate.

Mass corresponds to localized spectral stability under relaxation. Inertia arises from resistance to reconfiguration of stable χ-structures.

The Lamb shift and the Schwinger effect are interpreted as consequences of:

• finite spectral resolution,
• bounded flux saturation, without introducing a physically populated vacuum.

Cosmic expansion and low-density dynamics follow from bounded relaxation. The framework provides:

• a unified effective mechanism for flat galactic rotation curves,
• a structural explanation of the Hubble tension, without invoking dark matter particles or fundamental dark energy.

Superconducting coherence is interpreted as projective phase locking under constrained relaxation, providing a unified description of conventional and strongly correlated regimes.

This organization hosts:

• The main Cosmochrony paper (foundational framework) (PDF)
• Companion articles:
  • A. Spectral geometry and projection structure (PDF)
  • B. Bell inequalities and non-injective projection (PDF)
  • C. Born–Infeld emergence from bounded relaxation (PDF)
  • D. Galaxy rotation curves and cosmological tension (PDF)
  • E. Charge, mass, and inertia (PDF)
  • F. Lamb shift and Schwinger effect (PDF)
  • G. Superconductivity (PDF)
• Numerical simulations and validation codes
• The public website and documentation

Cosmochrony is an active foundational research program with derived effective dynamics and quantitative, regime-dependent, falsifiable predictions.

Preprints are publicly available via Zenodo. Journal submissions are ongoing.