SPT time-unit ladder — second, minute, hour, day, month, year
Which civil time units SPT needs to stay near everyday clocks. Answer: τ_tick + s_SPT≡SI second + 60/60/24 + Earth month/year. Bagua beats optional only. Script spt_time_units_ladder.py PASS.
s_SPT ≡ 1 SI second, keep the familiar 60 / 60 / 24, and take month & year from Earth astronomy — not from Q₇. Optional power-of-2 “beats” are demos, not a new legal calendar.§0 Easy guide — start here
Think of three drawers:
- Drawer F (physics core): only the membrane’s tiny tick. Like the heartbeat of the mesh.
- Drawer H (daily life): second, minute, hour, day — almost exactly as now, once we glue “SPT second = SI second”.
- Drawer A (sky calendar): month and year come from Moon and seasons — Earth weather, not Bagua fractions.
You do not need a new “SPT minute” that is 64 seconds long for buses and meetings. That would only confuse everyone. Keep civil numbers; keep ontology honest.
§1 Master ladder — what is needed?
| Layer | Unit | Definition | Needed? |
|---|---|---|---|
| F | τ_tick | 1 membrane update; c = a/τ | YES (core) |
| F | τ_Pl (id) | When a = ℓ_Pl: τ = a/c ≈ 5.39×10⁻⁴⁴ s | YES if a=ℓ_Pl |
| M | s_SPT | ≡ 1 SI second (bridge) | YES (bridge) |
| H | minute_H | 60 × s_SPT | YES civil |
| H | hour_H | 3600 × s_SPT | YES civil |
| H | day_H | 86400 × s_SPT (mean solar day) | YES civil |
| A | month_A | ≈ 29.53059 day_H (synodic) | YES calendar |
| A | year_A | ≈ 365.24219 day_H (tropical) | YES calendar |
| B | beat_* (optional) | 64, 4096, 2ⁿ s_SPT nicknames | Optional only |
§2 Each quantity in plain language
τ_tick (second’s great-grandparent). Smallest meaningful duration: one mesh update. Everything else is “how many ticks”.
s_SPT (the second you already know). We set it equal to the SI second so phones, GPS, and papers need no conversion. Under the hood: ~10⁴³ ticks if τ = τ_Pl. Still realized in labs by Cs-133 (9 192 631 770 cycles).
Minute / hour / day (civil). Keep 60 minutes per hour and 24 hours per day. These numbers are historical (sky + culture), not Bagua. SPT does not gain physics by switching to 64-minute hours.
Month / year (astronomical). Month follows the Moon (~29.53 mean solar days). Year follows the seasons (~365.242 tropical days). SPT substrate does not predict those integers — and should not fake a Q₇ “season formula”.
§3 Why not a pure Bagua calendar?
| Bagua beat | Value | vs civil | Δ |
|---|---|---|---|
| beat_min = Q₆ | 64 s | 60 s minute | +6.7% |
| beat_hour = 2¹² | 4096 s | 3600 s hour | +13.8% |
| beat_day = 2¹⁶ | 65536 s | 86400 s day | −24% |
| beat_year = 2²⁵ | ≈ 3.36×10⁷ s | tropical year | +6.3% curiosity |
§4 Conversion cheat sheet
// Bridge
1 s_SPT ≡ 1 SI second
= N_s · τ_tick (N_s ~ 1.855×10⁴³ if τ=τ_Pl)
// Civil H
1 minute_H = 60 s_SPT
1 hour_H = 60 minute_H = 3600 s_SPT
1 day_H = 24 hour_H = 86400 s_SPT
// Astro A (mean values; use IERS/ephemeris for precision work)
1 month_A ≈ 29.53059 day_H
1 year_A ≈ 365.24219 day_H
// Optional B (NOT civil)
1 beat_min = 64 s_SPT
1 beat_hour = 4096 s_SPT
1 beat_day = 65536 s_SPT
1 beat_year = 2^25 s_SPT§5 What to write in SPT documents
- Theory / Action / lattice: use τ_tick (and a, c = a/τ).
- Lab numbers, PDG, lifetimes: use SI seconds (≡ s_SPT).
- Human schedules on the site: ordinary min/hour/day/year.
- Never claim: “Q₇ implies a 365-day year” without Earth input.
§6 Reproduce offline
Time-unit ladder
Expect OVERALL: PASS. Companion: time-from-membrane ontology.
pip install sympy numpy && python3 scripts/spt_time_units_ladder.py && python3 scripts/spt_time_from_membrane.pyDon't want to install Python? Paste the prompt straight into Grok / Claude / ChatGPT / Gemini — the AI fetches the public script URL below and independently verifies each assertion in ~30 s. Open grok.com or claude.ai , paste, send.
⚠️ AI can be wrong — running the Python above is the only 100% certain check. Full AI guide →
§7 Bottom line
python scripts/spt_time_units_ladder.py.
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