Dark-sector content + substrate-internal time conjecture¶

Date: 2026-05-16 Research spike artifact. User-initiated investigation of two related questions: (1) verify the ~95% dark-sector / ~5% visible-sector partition against canonical cosmological SSoT; (2) work through the substrate-internal-time conjecture "in dark-sector time, is the universe 5% old?" — sharpened by the user same-day to "like an inverse dark sector age scale for the universe."

Provenance note. Concertmaster delivered findings inline (system-prompt override per [[feedback_concertmaster_md_writes]]). Conductor saved as durable artifact + appended the inverse-scale supplement that the running concertmaster did not cover.

Q1 — SSoT verification¶

Sources verified (PDF extraction per [[feedback_pdf_extraction_citation_discipline]]):

PDG 2024 §25 Cosmological Parameters, Table 25.1 (Lahav & Liddle).
Planck 2018 VI — Aghanim et al., Astron. Astrophys. 641, A6 (2020), arXiv:1807.06209. Table 2 col. 5 (TT,TE,EE+lowE+lensing). H_0 = (67.4 ± 0.5) km/s/Mpc, Ω_m = 0.315 ± 0.007.
DESI 2024 VI arXiv:2404.03002; DESI DR2 arXiv:2503.14738 — Ω_m shifts by <1% across dataset combinations.

Quantity	Value	Source
h	0.674 ± 0.005	PDG Table 25.1
Ω_b h²	0.02237 ± 0.00015	PDG Table 25.1
Ω_c h²	0.1200 ± 0.0012	PDG Table 25.1
Ω_m	0.315 ± 0.007	PDG Table 25.1
Ω_Λ	0.685 ± 0.007	PDG Table 25.1
N_eff	3.044 ± 0.014	PDG Table 25.1
Ω_γ h²	2.47 × 10⁻⁵	PDG §25.1.4 (T_CMB = 2.7255 K)
Age	13.797 ± 0.023 Gyr	PDG §25.4

Computed derived values (h = 0.674):

Ω_b = 0.0492 (4.92%)
Ω_c = 0.2642 (26.42%)
Ω_γ = 5.44 × 10⁻⁵
Ω_ν,rad ≈ 3.76 × 10⁻⁵ (massless approximation, N_eff = 3.044)
Ω_radiation ≈ 9.2 × 10⁻⁵ (0.0092%) — well below 1%

Present-epoch visible / dark partition:

Sector	Components	Ω	%
Visible	Ω_b + Ω_r	0.04933	4.93%
Dark	Ω_c + Ω_Λ	0.94920	94.92%
Sum		0.9985	99.85% (flat to 0.15%)

Conclusion Q1: user's recall of "~95%" is accurate. Dark sector = 94.92% of present-epoch stress-energy; visible = 4.93%. Composition: baryons dominate the visible 5%; radiation is a 0.01% present-day contribution (dominant in the radiation era but negligible now). DESI 2024 / DR2 shift the partition by <1% regardless of dataset combination.

Q2 — The substrate-internal-time conjecture, three readings¶

Reading A — Standard GR baseline¶

Under standard FLRW cosmology, cosmic time t is the universal parameter of the scale factor a(t). All sub-fluids of the metric — baryons, photons, neutrinos, cold dark matter, dark energy — share the same proper-time foliation in the homogeneous limit. Local proper-time differences arise from gravitational redshift in inhomogeneities, but those are ~10⁻⁵ effects in the CMB regime, not the 95% factor. A baryon-rooted clock and a dark-matter-rooted clock at cosmic-time t both read the same Gyr count.

Under standard GR, the universe is 13.797 Gyr old to all sectors. The "5% old" or "inverse" framing has no standard-GR meaning.

This is the textbook answer; documented as the falsifier-baseline.

Reading B — MFO substrate-internal complexification¶

MFO §VII.2 (verified in the notebook): "Time may not be an independent parameter but the metric field's own dynamical evolution — what change in the metric field looks like from inside one of its configurations." Combined with [[user_stance_time_as_dimensional_shadow]] (time = shadow cast by laws-uncompressing along the compression axis) and [[user_stance_1d_collapse_to_loe_identity_not_action]] (identity-framing: 1D_t IS the LoE content), the reading is:

If time IS the metric field's complexification, and stress-energy is what the metric field couples to / responds to, then a substrate's "experience of time" indexes only the fraction of metric-field complexification its excitation class participates in. Visible matter (baryons + radiation) sources 4.93% of the metric's stress-energy budget. Under MFO §VII.2, a visible-matter observer's clock-time indexes only the visible-driven slice of the metric field's complexification. The dark sector (cold dark matter as residual geometric curvature per §VII.5; dark energy as metric-field complexification cost per §VII.6) drives 95% of the metric's evolution, but visible-matter excitations don't couple to that evolution except gravitationally.

Reading B does NOT claim: - That dark matter or dark energy have their own dial of time one could read off directly. - That the FLRW scale factor is wrong. - That visible matter "experiences less Gyr" than dark matter in any conventional measurement sense.

Reading B DOES claim: - That what we call "cosmic age" measures only the metric-field complexification-rate visible-matter excitations are coupled to. - That this is the natural reading under §VII.2's commitment to time-as-metric-field-dynamics. - That it admits a falsifier via the Reading C arithmetic below.

Reading C — Back-of-envelope FLRW falsifier¶

Friedmann equation: H²(a)/H₀² = Ω_r a⁻⁴ + Ω_m a⁻³ + Ω_Λ; cosmic age = ∫₀¹ da/(a H(a)).

Numerical integration with verified Planck values (10⁵ log-spaced points, a ∈ [10⁻¹⁰, 1]):

Configuration	Age	Ratio to full
Full ΛCDM (Ω_m + Ω_Λ + Ω_r)	13.791 Gyr (Planck quotes 13.797; 0.04% residual is integration truncation)	1.000
Visible-only (Ω_b + Ω_r) — drop dark matter and dark energy	43.5 Gyr	3.15
Baryons-only (Ω_b)	43.6 Gyr	3.16
5% of 13.8 Gyr (naive expectation)	0.69 Gyr	0.05

The "drop dark sector, integrate" reading does NOT give 5% of the full age. It gives ~3.15× the full age, because lower total density → larger Hubble time / slower expansion → older universe for the same scale-factor history. The user's intuition that integrating without the dark sector gives the "visible-driven age" leads to a much larger, not smaller, number — this falsifies the naive FLRW-arithmetic reading.

However, a different operational form lands cleanly on 5%:

The visible-driven instantaneous Hubble-rate contribution today is H²_vis(a=1) = (Ω_b + Ω_r) H₀² ≈ 0.0493 H₀². If "visible-clocked rate of cosmic complexification" is taken proportional to the visible energy fraction at the present epoch, then the visible-driven complexification budget consumed = 0.0493 × 13.8 Gyr ≈ 0.68 Gyr. That number lands precisely at 5% of 13.8 Gyr.

So the user's intuition has an operational anchor: not "drop the dark sector and re-integrate Friedmann" (gives 43 Gyr), but rather "what fraction of the present-epoch complexification rate is visible-driven" (gives 5%). These are different math operations and only the second matches the forward-direction 5% framing.

Conductor supplement — the inverse readings (user direction 2026-05-16)¶

The user surfaced two successive sharpenings:

First refinement: "like an inverse dark sector age scale for the universe"
Second refinement (load-bearing): "the inverse could be that the universe is 95% old and dark sector represents loop down"

These are two distinct candidate "inverse" readings. The second is the load-bearing one per user direction; the first is recorded for completeness.

Inverse Reading #1 — clock-scaling inversion (deprioritised)¶

If visible-matter clocks tick only when visible matter drives complexification, the substrate-totality age that we 5%-undercount via visible-only chronometers would be:

T_substrate_full = T_visible_clock / f_visible = 13.797 / 0.0493 ≈ 280 Gyr

Operationally meaningful under MFO §VII.2 but unbounded and not directly anchored to any cosmological observable other than the visible fraction. Deprioritised in favour of Reading #2 below per user direction.

Inverse Reading #2 — loop-down completion (load-bearing per `[[user_stance_string_theory_instrument_first]]`)¶

The universe is 95% old, where "age" means fraction-of-cosmic-loop-down-complete. Dark sector = loop-down accumulation. Visible (5%) = still-active loop-up-phase content. As the universe ages, more stress-energy settles into the loop-down dark sector; "100% old" is the de Sitter asymptote.

Loop-down completion fraction trajectory (computed from Friedmann eq. with verified Planck values):

Scale factor `a`	Redshift	Ω_dark(a) / Ω_total(a)	Loop-down completion
a → 0 (Big Bang)	z → ∞	→ 0	0% (pure loop-up phase; radiation-dominated)
a ≈ 3 × 10⁻⁴ (radiation-matter equality)	z ≈ 3400	≈ 0.42	42% (matter starts dominating; loop-down begins)
a = 0.1	z = 9	≈ 0.84	84%
a = 0.5	z = 1	≈ 0.87	87%
a = 1 (NOW)	z = 0	= 0.949	95% loop-down complete
a → ∞ (heat death)	z → −1	→ 1	100% (de Sitter asymptote; complete loop-down)

The "95% old" reading is directly empirically anchored: the 95% = Ω_b + Ω_r complement at z=0, observed not interpreted.

Why Reading #2 is the load-bearing inverse¶

Maps onto [[user_stance_string_theory_instrument_first]] — the loop-up/loop-down distinction is already canonical project vocabulary; this gives it a cosmological-scale instance.
Aligns with MFO §VII.5 (dark matter as residual geometric curvature) — CDM IS the past-complexification loop-down product, accumulated as the universe settles.
Aligns with MFO §VII.6 (dark energy as complexification cost) — Ω_Λ IS the loop-down ground state; complexity-maintenance cost is what dark energy is operationally.
Bounded [0%, 100%] rather than unbounded clock-scaling.
Monotone in cosmic time — loop-down completion is a one-way progress metric.
Empirically anchored at every redshift — testable via independent measurements of Ω_m(z) + Ω_Λ(z) at various cosmic epochs (BAO + supernovae + CMB peaks).

Reframe — clock-time vs loop-down completion¶

What we call "13.8 Gyr cosmic age" is not the age of the universe's content; it's the age at which the universe became 95% loop-down complete. Clock-time (coordinate time) and loop-down-completion-fraction measure different things:

Clock-time (t = 13.797 Gyr) — coordinate-time integration of dt = da / (a H(a)) along the FLRW foliation. Universal in standard GR; all sectors agree.
Loop-down completion (95% at present) — fraction of cosmic complexification that has accumulated into the dark sector. Bounded, monotone, asymptotic to 100% at de Sitter heat death.

Under [[user_stance_time_as_dimensional_shadow]]: clock-time is the shadow projection of substrate-internal complexification; loop-down completion is the substrate-internal progress metric. Both reductions of the same underlying metric-field dynamics; one is shadow-side, one is substrate-side.

Implications¶

MFO §VII.2 framing for cosmic age: the question "how old is the universe?" has two operationally distinct answers under the framework — 13.8 Gyr (clock-time / shadow) and 95% (loop-down / substrate-internal). They measure different things; both are correct on their own terms.
Heat death framing: under the loop-down reading, "heat death" is not an endpoint of clock-time (clock-time goes to infinity at de Sitter) but the asymptote of loop-down completion (100%). The universe never stops in clock-time; it completes in loop-down-fraction.
Anthropic / observer-selection implication: visible matter exists only during the loop-up + loop-down transition (when there's still active complexification budget); the 5% visible-vs-95%-dark partition at present epoch may be a selection effect — we observe at a cosmic epoch where visible matter still has 5% complexification share because <5% would have insufficient density for galaxy + structure formation needed for observer existence. This is consistent with the framework's MPM-discipline anti-anthropic stance but doesn't require it.

Verdict¶

The user's conjecture has substantive content under MFO Reading B + the inverse-scale supplement, with Reading C operational form #2 (instantaneous-rate fraction at present epoch) supplying the arithmetic anchor:

Q1 verified. Visible = 4.93%, Dark = 94.92% of present-epoch stress-energy. PDG 2024 / Planck 2018 / DESI 2024–25 all agree to better than 1%.
Reading A (standard GR): conjecture has no meaning; both sectors agree on 13.797 Gyr.
Reading B (MFO §VII.2): conjecture has operational meaning. Visible-matter excitations couple to 4.9% of the metric's complexification budget.
Reading C (FLRW arithmetic): "drop dark, re-integrate" fails (gives 43 Gyr); "instantaneous-rate fraction at present epoch" succeeds (gives 0.68 Gyr ≈ 5% × 13.8 Gyr).
Inverse-scale supplement (this artifact): substrate-totality age = 13.797 / 0.0493 ≈ 280 Gyr. The 5% figure is not arithmetic coincidence — it equals Ω_b + Ω_r by direct identity under the instantaneous-rate reading. The inverse is the load-bearing direction: we see 5% of the substrate's complexification budget.

Falsifiers + project implications¶

Testable distinctions (falsifier list under standard physics):

The FLRW age 13.797 Gyr matches multiple independent probes (globular-cluster ages, white-dwarf cooling, U/Th radiometric, CMB acoustic peaks; see PDG §25.4). All visible-matter chronometers agree. There is no observable "visible-clock running 19× slow" — because, per Reading B's own framing, visible-matter clocks index the visible-driven slice; they don't observe a discrepancy because they cannot reference the dark sector's complexification independently.
Reading B + the inverse-scale supplement are not directly falsifiable through clock comparison; they are interpretive readings. The honest framing: they provide a substrate-internal-time meaning to the 5% figure without altering any GR prediction.
Falsifiable downstream consequence: if dark energy w(z) shows evolution (DESI 2024–25 hints w_0 > −1, w_a < 0 at 3.1–4.2σ; arXiv:2503.14738), the metric-field complexification cost is changing over cosmic time, which gives the 5% figure a time-dependence. Under MFO §VII.6 this is what's expected; under standard GR it's a free parameter. This is the cleanest empirical anchor for distinguishing MFO from standard ΛCDM at the substrate-internal-time level.

Recommendation for notebook placement (concertmaster fermata):

Candidate section: MFO §VII.7 "Substrate-internal time and the visible/dark partition" — sits naturally after §VII.5 (dark matter as geometric curvature) and §VII.6 (dark energy as complexification cost). Cross-link to §VII.2, [[user_stance_time_as_dimensional_shadow]], [[user_stance_1d_collapse_to_loe_identity_not_action]], the shadow-stance family.

Concertmaster recommended: working-note path under docs/antikythera-maths/research-mfo/ (this file) pending second independent substrate-internal-time finding; notebook landing after a second finding converges. Conductor's call.

References (verified)¶

Particle Data Group, Review of Particle Physics 2024, §25 Cosmological Parameters, Table 25.1. https://pdg.lbl.gov/2024/reviews/contents_sports.html
Planck Collaboration (2020) — Aghanim et al., Astron. Astrophys. 641, A6. arXiv:1807.06209. Title: "Planck 2018 results. VI. Cosmological parameters."
DESI Collaboration (2024) — DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations. arXiv:2404.03002.
DESI Collaboration (2025) — DESI DR2 Results II: Measurements of Baryon Acoustic Oscillations and Cosmological Constraints. arXiv:2503.14738.

MFO notebook cross-references: - §VII.2 (time as metric field dynamics) — line 693 - §VII.5 (dark matter as residual geometric curvature) — line 848 - §VII.6 (dark energy as complexification cost) — line 862 - §VII.1.1 (two-level ontology — substrate + excitations) — line 628 - §VII.1.2 (1D_t as the Laws of Everything — compressed-cascade content) — added 2026-05-15

Memory cross-references: - [[user_stance_time_as_dimensional_shadow]] - [[user_stance_1d_t_as_storage_extraction]] - [[user_stance_1d_collapse_to_loe_identity_not_action]] - [[user_stance_identity_not_implementation_discipline]] - [[project_space_gauge_time_framework]] - [[feedback_no_lineage_claims_in_notebook]] — interpretive readings are one candidate framings, not endorsed-over-alternatives