Release Notes: Temporal Equivalence Principle v0.10 (Jakarta) Date: August 7, 2026
Version 0.10 (Jakarta) supersedes the legacy "CMB-preserving realization" (epoch-screening S(z)) with the eternal-universe temporal-horizon architecture. The hot Big Bang is rejected; early-universe closure is derived natively from the proper-time reaction flow and steady-state asymptotic attractors. The abstract, Section 7, Section 8, Section 12, and Appendix D glossary have been updated. Cross-paper consistency aligned with TEP-TH v0.3 (Paper 27), TEP-BBN (Paper 29), TEP-HC (Paper 18), TEP-C0 (Paper 26).
Release Notes: Temporal Equivalence Principle v0.9 (Jakarta) Date: June 6, 2026
Version 0.9 (Jakarta) cleans the screening ontology, clarifies PPN recovery, updates cosmology to match tested implementations, and resolves cross-paper screening inconsistencies identified in the full theoretical consistency audit.
1. Screening Ontology (§7) and Supplementary program-note.md
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Universal definition retained in main text:
$\Sigma_\mu^{\text{obs}} = \mathcal S_\Sigma(\mathcal E) , \Sigma_\mu$ with$\mathcal E = {\rho, \Phi/c^2, \text{source structure}, \text{ambient environment}, \text{boundary conditions}, z, \text{measurement channel}}$ -
Universal warning retained in main text:
$\rho_T \approx 20$ g/cm$^3$ is not a binary on/off switch; it is the cross-scale saturation scale where the non-linear Temporal Topology response saturates -
Domain table and research-series bibliography demoted to
program-note.md: To avoid a series-hub appearance in Paper 0, the 8-row canonical domain map and full TEP Research Series bibliography were moved to a supplementary program note -
Explicit cross-scale statement retained:
$\rho_{\text{core}}$ ,$\rho_c$ , and$\rho_{\text{half}}$ are different effective projections of the same non-linear response; the first-principles transfer relation remains an open derivation
2. PPN Mapping Clarification (§7)
- Removed incorrect claim that screening makes
$d(\ln A)/d\phi \to 0$ - For
$A(\phi) = \exp(\beta_A\phi/M_{\rm Pl})$ , the bare derivative$\beta_A/M_{\rm Pl}$ is constant - Screening suppresses the effective exterior charge:
$\alpha_{\rm eff} = \mathcal S_\Sigma(\mathcal E) , \alpha_0$ , with$\mathcal S_\Sigma \to 0$ in dense environments - PPN recovery to GR (
$\gamma = \beta_{\rm PPN} = 1$ ) follows from$\alpha_{\rm eff} \to 0$ , not from a vanishing bare derivative
3. Cosmology Update (§8)
- Replaced "early dark energy shifts sound horizon by 1–2%" framing with CMB-preserving realization
- Early homogeneous temporal-shear mode frozen/suppressed before recombination by
$S(z) = \exp[-(z/z_T)^{n_T}]$ - Sound horizon
$r_s$ and acoustic morphology preserved to sub-percent precision - Dominant observables arise in late universe through environmental and line-of-sight temporal transport
- Matches tested implementations: native hi_class MCMC (Paper 18) and Cobaya joint-likelihood (Paper 26)
4. Cross-Paper Consistency
- Fixed LHC (Paper 20) "high-density = maximally coupled" inconsistency — now framed as channel-specific response
$\kappa_{\text{LHC}}$ , not bulk-density screening - SPIN (Paper 24) already correctly labels
$\rho_c$ as many-body; no change needed
5. Field Equations and Conservation Laws (§2.2–2.3)
- Added minimal covariant EFT action, Einstein-frame field equations, scalar equation of motion with conformal-disformal source, and matter-frame conservation law
6. Abstract and Textual Refinements
- Abstract softened ("covariant action", "staged falsifiable"); parameter rename
$\beta \to \beta_A$ throughout - Holonomy: topological caveat added, obsolete Appendix A3 reference removed
- Hyperbolicity, cosmology, and Growth/$S_8$ language softened for accuracy; terminology cleaned up
Release Notes: Temporal Equivalence Principle v0.8 (Jakarta) Date: April 29, 2026
Version 0.8 (Jakarta) revises the core TEP manuscript with tightened geometric definitions and canonical nomenclature, removing residual chameleon/binary-threshold language.
1. Canonical Definition Block (§7)
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Temporal Topology: Now defined as the spatial and covariance structure of the conformal-factor field
$\ln A(\phi(x))$ , represented by the field configuration and its covariance$C_A(x,x') = \langle \delta\ln A(x),\delta\ln A(x') \rangle$ . For compactness one may write$\Theta \equiv \ln A$ and$C_\Theta \equiv C_A$ , but the canonical series notation remains$\ln A$ ,$\Sigma_\mu = \nabla_\mu \ln A$ , and$C_A$ . Describes how matter-clock proper-time accumulation varies across extended regions. -
Temporal Shear: Defined as the locally active gradient sector
$\Sigma_\mu \equiv \nabla_\mu \ln A = \alpha(\phi)\nabla_\mu\phi$ . In equilibrium regions where$\ln A$ is approximately constant,$\Sigma_\mu \approx 0$ . Observable shear is further reduced by source/environment screening. -
Screening Clarification: The saturation scale
$\rho_T$ is not a binary local-density threshold of the form$\rho > \rho_T \Rightarrow$ GR,$\rho < \rho_T \Rightarrow$ active. Recovery of GR in local tests is controlled by suppression of the observable shear/source-charge sector:$\Sigma_\mu^{\text{obs}} = \mathcal S_\Sigma(\mathcal E)\Sigma_\mu$ with$\mathcal S_\Sigma \to 0$ in screened regimes.
2. Axiom A4 (Screening and Universality)
- Removed "chameleon-like potential" language
- Now states: "Environmental suppression of the locally observable Temporal Shear/source-charge sector reconciles local tests with cosmological dynamics. Chameleon, Vainshtein, Galileon, DBI, and symmetron mechanisms are treated as candidate microscopic completions, not as the defining ontology of TEP."
3. Synchronization Holonomy (§6)
- Clarified distinction between raw loop integral
$H = \oint_C \tilde{\sigma}$ and physical TEP observable$H_{\rm resid} = \oint_C (\tilde{\sigma} - \sigma_{\rm GR})$ - Emphasized
$H_{\rm resid}$ is the GR-subtracted residual, not raw holonomy
4. Response Coefficients
- Removed
$\alpha_{\text{eff}} = \alpha(\phi) \cdot f(\rho_T)$ formula - Replaced with channel-level observable:
$\Delta O_X = \kappa_X \cdot \mathcal S_X(\mathcal E) \cdot \mathcal F_X[\Delta\ln A, \Sigma_\mu, C_A; \Phi, \rho, z]$ (compactly denoted$\Delta\Theta$ ,$C_\Theta$ where convenient) - Clarified
$\kappa_X$ is an observable response coefficient, not the microscopic coupling$\beta$ and not a PPN coupling
5. Glossary Updates
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$\ln A(\phi)$ : "conformal factor controlling matter-frame proper time; compact notation$\Theta \equiv \ln A$ " -
$C_A$ : "covariance of conformal-factor fluctuations,$C_A(x,x') = \langle \delta\ln A(x) , \delta\ln A(x') \rangle$ ; also denoted$C_\Theta$ when using$\Theta \equiv \ln A$ "
Read the updated manuscript: https://mlsmawfield.com/tep/theory/