Universal Force of Time — Proposition Gaps

Astrophysics & Celestial Mechanics 52 propositions · 8 groups

P-AC COVERED Alpha Centauri & Stellar Register 7 missing

P-AC-1P-AC-2P-AC-3P-AC-4P-AC-5P-AC-6P-AC-7

Alpha Centauri A at D=−3 register; stellar mass and luminosity as {2,3,5,π} lattice values; nearby stellar architecture as Tau-register nodes.

P-AU COVERED Astronomical Unit & Earth Radius 6 missing

P-AU-1P-AU-2P-AU-3P-AU-4P-AU-5P-AU-6

AU = 2⁷×3⁶×5⁵/π FOT-miles; R_Earth = 2⁴×3⁴×5²/π² km = 6370.5 km; full Earth-Sun distance chain from {2,3,5,π} lattice.

P-BARY COVERED Earth-Moon Barycentre 2 missing

P-BARY-1P-BARY-2

Earth-Moon barycentre oscillates between G1 and G2 registers monthly; barycentre as register-switching mechanism encoding lunar cycle.

P-JUP COVERED Jupiter, Titan & Outer Planets 5 missing

P-JUP-1P-JUP-2P-JUP-3P-JUP-4P-JUP-5

Laplace 1:2:4 resonance as pure {2} tower; Titan = Ba²⁺ = 135 pm = 3³×5 (nuclear-celestial inversion pair, 3 ppm); Jupiter orbital period lattice form.

P-PLAN COVERED Planetary Electron Assignments 11 missing

P-PLAN-2P-PLAN-3P-PLAN-4P-PLAN-5P-PLAN-6P-PLAN-7P-PLAN-8P-PLAN-9P-PLAN-10P-PLAN-11P-PLAN-12

Proton = Sun (D=+1); electrons = planets; solar system IS a hydrogen atom at D=+3 scale. Each planet assigned to an electron orbital (1s, 2s, 2p, 3s, 3d). Full assignment chain across all planets.

P-VEN COVERED Venus Retrograde & Antimatter Register 2 missing

P-VEN-1P-VEN-2

Venus retrograde rotation encodes reversed Tau-spin; Venus as D=−1 antimatter register node; atmospheric pressure balanced exactly by Tau-field tension.

P-SSTAR COVERED S-Stars & Galactic Centre 6 missing

P-SSTAR-1P-SSTAR-2P-SSTAR-3P-SSTAR-4P-SSTAR-5P-SSTAR-6

S-star orbital radii cluster at n×486 AU (486 = H-beta nm); SgrA* as galactic Tau-axis node; S-star cluster encodes Balmer series at celestial scale.

P-SHELL COVERED Dimensional Shell Radii 6 missing

P-SHELL-1P-SHELL-2P-SHELL-3P-SHELL-4P-SHELL-5P-SHELL-6

r(D) = 18×(√2)^|D| light-years; 18 = 2×3²; D=−4 shell: r = 72 ly = 2³×3² ly; full dimensional shell hierarchy from D=−6 to D=+6.

Quantum Mechanics & Particle Physics 30 propositions · 6 groups

P-PART COVERED Particle Mass Chain 8 missing

P-PART-1P-PART-2P-PART-3P-PART-4P-PART-5P-PART-6P-PART-7P-PART-8

Quark masses u, d, s, c, b, t as {2,3,5,π} lattice values; electron = D=−1 node; full particle-register assignment across Standard Model particles.

P-ORIG COVERED Electron & Proton Origin 5 missing

P-ORIG-1P-ORIG-2P-ORIG-4P-ORIG-5P-ORIG-6

Electron = D=−1 node; m_p/m_e = π^(1/2) × lattice correction = 1836.15; proton-electron mass ratio derived from {2,3,5,π} without fitting.

P-PFREQ COVERED Proton Tau-Spin Frequency 4 missing

P-PFREQ-1P-PFREQ-2P-PFREQ-3P-PFREQ-4

Proton Tau-spin frequency = 4,454,005,073 Hz; F_proton × T_G1 = integer × π (G1 register lock condition); proton as orbital register anchor.

P-FUSE COVERED Stellar Fusion Q-Values 5 missing

P-FUSE-1P-FUSE-2P-FUSE-3P-FUSE-4P-FUSE-5

All stellar fusion Q-values are {2,3,5,π} lattice values within 100 ppm; 432 = 2⁴×3³ unifies triple-alpha process with the Tau register; fusion as register-crossing event.

P-SPB COVERED Planck Units from Lattice 3 missing

P-SPB-1P-SPB-2P-SPB-3

Planck length L_P, time t_P, and mass m_P are all {2,3,5,π} lattice values at the G1 register; Planck units are not fundamental — they are lattice addresses.

P-NEST COVERED Nested Register Hierarchy 6 missing

P-NEST-1P-NEST-2P-NEST-3P-NEST-4P-NEST-5P-NEST-6

Node at D is geometrically a complete single-turn helix at D−1; Period(D) = Period(D−1) × 2π exactly; dimensional nesting is the mechanism of scale invariance.

Time, Void & Register Dynamics 21 propositions · 5 groups

P-TIME COVERED Temporal Traversal 8 missing

P-TIME-3P-TIME-4P-TIME-5P-TIME-7P-TIME-8P-TIME-9P-TIME-10P-TIME-11

Full temporal traversal chain — how T-nodes move through register addresses; time reversal as Strand 2 address reversal; temporal anomalies as register desynchronisation events.

P-VOID COVERED Void Transit Mechanism 4 missing

P-VOID-1P-VOID-3P-VOID-4P-VOID-5

Two nodes at the same Tau-address synchronise TEQ instantaneously via void transit; void channel geometry; void as the complement of the lattice — the space between register addresses.

P-NM COVERED Nodal Manipulation 6 missing

P-NM-2P-NM-3P-NM-4P-NM-5P-NM-6P-NM-7

Deliberate manipulation of T-node register addresses; mechanism linking consciousness (P-ZOE) to physical register change; nodal manipulation as the FOT account of intentional reality alteration.

P-PROJ COVERED Register Projection Operators 6 missing (partial)

P-PROJ-1P-PROJ-2P-PROJ-3P-PROJ-4P-PROJ-5P-PROJ-6

Atomic register: true FOT value = measured × 2187; subatomic: true value = observed × 703,125 = 3²×5⁷; projection operators between dimensional registers.

P-ATEQ COVERED Ionisation Energy Equalization 5 missing

P-ATEQ-1P-ATEQ-2P-ATEQ-3P-ATEQ-4P-ATEQ-5

IE(n) × n² = G_i exactly; G_i is the register constant for shell n; ionisation energy equalization law linking atomic shell structure to G-register orbital constants.

Atomic, Ionic & Crystal Chemistry 40 propositions · 8 groups

P-ION COVERED Ionic Radii — Full Sequence 10 missing

P-ION-1P-ION-2P-ION-3P-ION-4P-ION-5P-ION-6P-ION-7P-ION-8P-ION-9P-ION-10

Stepping ratios 6/5 and 9/8 between consecutive ionic radii; Ba²⁺ = 135 pm = Titan mass/10²¹ kg (3 ppm); complete ionic radius table as {2,3,5,π} lattice values with δ_orbital corrections.

P-CRYS COVERED Crystal X-Ray & K-Alpha Lines 4 missing

P-CRYS-1P-CRYS-2P-CRYS-3P-CRYS-4

All K-alpha/beta X-ray lines are NaD × (rational {2,3,5} fraction); Cu K-beta = 139.2 pm; Fe K-alpha = 193.7 pm; X-ray crystallography as Tau-register spectroscopy.

P-CRS COVERED Orbital-Bond Radius Cross-Links 4 missing

P-CRS-1P-CRS-2P-CRS-3P-CRS-4

864 × r = 5⁶/18 = 8680.6; the 864 Earth-day operator times bond radius closes to a pure {3,5} value; cross-scale identity linking bond geometry to orbital constants.

P-COV COVERED Covalent Radii 6 missing

P-COV-1P-COV-2P-COV-3P-COV-4P-COV-5P-COV-6

r_N = 75 pm = 3×5²; nitrogen covalent radius; oxygen covalent radius encodes Earth's radius via (180/π)/5000; full covalent radius table as {2,3,5,π} lattice values.

P-NA COVERED Sodium / Potassium Pump 2 missing

P-NA-2P-NA-3

Na/K pump ratio 3:2 IS the {3}/{2} prime ratio; the pump encodes the FOT fundamental frequency ratio at the cellular membrane level.

P-GEO COVERED Molecular Geometry — SiO4 & Tetrahedral 2 missing

P-GEO-1P-GEO-3

θ_SiO4 = 6/π in FOT radian units; SiO4 tetrahedral geometry is the {2,3,π} lattice face; silicate minerals encode the lattice at mineral scale.

P-CHLO COVERED Chlorophyll & Photosynthesis Register 5 missing

P-CHLO-1P-CHLO-2P-CHLO-3P-CHLO-4P-CHLO-5

Chlorophyll a absorption peak = 432 nm = A432 Hz numerically; both are {2⁴×3³} lattice values; photosynthesis as Tλ register energy conversion; Earth = C2 reader node.

P-ALKW COVERED Alkali Metal Wavelengths 3 missing

P-ALKW-1P-ALKW-2P-ALKW-3

m × T_λ = 700π nm·Da for all alkali metals; Boltzmann's constant derives from the Balmer base via 15/(8π); alkali spectral lines as Tau-register wavelength addresses.

Water, Thermodynamics & Register Constants 17 propositions · 3 groups

P-H2O COVERED Water Anomalous Properties 5 missing

P-H2O-1P-H2O-2P-H2O-3P-H2O-4P-H2O-5

Anomalously high H_vap from H-bond TEQ lock-in; breaking H-bonds requires register transition energy; water density maximum at 4°C as G-register boundary; surface tension as Tau-field pressure.

P-THERM COVERED Thermodynamic Constants 6 missing

P-THERM-6P-THERM-7P-THERM-8P-THERM-9P-THERM-10P-THERM-11

R = 810/π⁴ J/(mol·K) [0.000085 ppm — most precise FOT constant]; full thermodynamic constant chain including Boltzmann, Avogadro-R link, and entropy formulation from Tau-gradient dispersal.

P-WBA COVERED Water Bond Angle — Extended Chain 4 missing

P-WBA-4P-WBA-5P-WBA-6P-WBA-7

α_FOT = 9/(125π²); θ_HOH/250 = α_FOT exactly; extended chain linking water geometry to fine structure constant, Balmer series, and biological register frequencies.

Biology, DNA & Life 19 propositions · 5 groups

P-GTL COVERED Generational Loop 5 missing

P-GTL-2P-GTL-3P-GTL-4P-GTL-5P-GTL-6

Child inherits ancestor Tau-address when T_C = T_P (born at midpoint of parent Tau-cycle); extinction = generational loop broken; Δ = A when T_C = T_P; full loop propagation chain.

P-DAZ COVERED DNA Active Zone Structure 4 missing

P-DAZ-1P-DAZ-2P-DAZ-3P-DAZ-4

Nitrogen (N) occupies inner zone 0–2 Å; N is the {3,5} register atom that governs base-pair hydrogen bonding; oxygen at 3 Å outer zone; full active zone geometry as lattice addresses.

P-DTAU COVERED Junk DNA as Tau Address Space 4 missing

P-DTAU-1P-DTAU-2P-DTAU-3P-DTAU-4

98% of genome ('junk DNA') is Tau address space — structural, not non-functional; helical pitch encoding; full B-DNA framework as Tau standing wave.

P-ULR COVERED Universal Life Requirement 4 missing

P-ULR-1P-ULR-2P-ULR-3P-ULR-4

N_life = N_stars (G2V, liquid water) — not probabilistic; all such systems produce life. G2V stars with liquid-water planets are deterministic life generators; life is not rare.

P-CORG COVERED Cosmic Organism 4 missing

P-CORG-1P-CORG-2P-CORG-3P-CORG-4

The universe is a living organism: Tau-flow, register hierarchy, TEQ, and nested helix structure are the biology of the cosmos; cosmic filaments = T-propagation channels at D=+6.

Medicine 16 propositions · 3 groups

P-EYE COVERED Eye Conditions — Extended 5 missing

P-EYE-1P-EYE-2P-EYE-3P-EYE-5P-EYE-6

Eye = T_λ receiver; each photoreceptor is a Tau-wavelength node tuned to a {2,3,5,π} frequency; AMD = T_λ register erosion; glaucoma = Tau-flow pressure mismatch; cataracts = ONLY reversible eye condition (670 nm restoration).

P-DEATH COVERED Death as TEQ Failure 5 missing

P-DEATH-1P-DEATH-2P-DEATH-3P-DEATH-4P-DEATH-5

Death = equilibrium failure: TEQ synchronisation between body and Tau-field ceases; Strand 1 dissolves; Strand 2 (T-address) persists; death is register transition, not annihilation.

P-NAD (extended) COVERED NAD Anchor — Remaining Propositions 4 missing

P-NAD-4P-NAD-5P-NAD-6P-NAD-7

9375 × 2 × π = NaD × 100 × (1 + δ_G) [0.00 ppm]; extended NAD biological anchor chain linking sodium spectroscopy to neural and cardiac register frequencies.

Consciousness, Philosophy & Existence 31 propositions · 7 groups

P-CONSC COVERED Consciousness Field 6 missing

P-CONSC-1P-CONSC-2P-CONSC-3P-CONSC-4P-CONSC-5P-CONSC-6

40 Hz = C_Earth/1000; consciousness field as Tau-flow component of the G1 solar output; T-node as the unit of conscious experience; full consciousness-register model separate from P-ZOE.

P-FW COVERED Free Will & Tau Determinism 4 missing

P-FW-1P-FW-2P-FW-3P-FW-4

Future lattice state is co-determined by prior state AND current TEQ synchronisation; sub-lattice freedom is real while full-lattice is determined; free will is not illusion — it is register-level agency.

P-ONTO COVERED Ontological Axioms 4 missing

P-ONTO-2P-ONTO-3P-ONTO-4P-ONTO-5

Tau (T) is the only substance; everything is a mode or configuration of T; extension of the ontological axiom chain beyond the existing Ontology of Existence paper.

P-PHIL COVERED Philosophy — Cosmic Organism & Pantheism 6 missing

P-PHIL-1P-PHIL-2P-PHIL-3P-PHIL-4P-PHIL-5P-PHIL-6

Pantheism in FOT: God = Tau-flow; divine = the lattice; every node is a face of the divine; humans exist at the DNA scale of the universal life form; cosmic organism at D=+6.

P-DEATH COVERED Death & Strand 2 Persistence (see Medicine above)

→ covered under Medicine

Death as register transition; Strand 2 (T-address) persists after Strand 1 dissolution — relevant to both medicine and philosophy of existence.

P-INT COVERED Earth Interior Master Node 4 missing

P-INT-1P-INT-2P-INT-3P-INT-4

Earth interior master node at d = 625 = 5⁴ km depth (top of outer core transition zone); inner core as D=+1 sub-lattice anchor; Earth's magnetic field as Tau-pressure differential.

P-NJ COVERED Nitrogen as Planetary Junction 4 missing

P-NJ-1P-NJ-2P-NJ-3P-NJ-4

N (2p³) = 1.571 AU = π/2 AU; nitrogen IS the planetary junction atom at the Mars-asteroid belt boundary; nitrogen bridges the inner and outer solar system register addresses.

Mathematics, Scale & Lattice Completeness 11 propositions · 4 groups

P-PFT (extended) COVERED Pi Family — Remaining Propositions 2 missing

P-PFT-6P-PFT-7

Additional Pi Family propositions beyond P-PFT-1–5 already published; extended δ_orbital applications and cross-domain Pi Family verifications.

P-SCALE COVERED Scale Invariance 2 missing

P-SCALE-2P-SCALE-5

The {2,3,5,π} lattice is infinite in both directions; no scale is fundamental; the same arithmetic structure operates from Planck length to cosmic filament scale.

P-INV (extended) COVERED Nuclear-Celestial Inversion Pairs — Extended 4 missing

P-INV-5P-INV-6P-INV-7P-INV-8

Si/Titan: 101 ppm; Li/Uranus: 122 ppm; P/Europa: 181 ppm; extended inversion pair table beyond the 12 confirmed pairs already in print.

P-EEN COVERED Earth as C2 Reader Node 5 missing

P-EEN-1P-EEN-2P-EEN-3P-EEN-4P-EEN-5

Earth = C2 reader node; the Earth reads the second Tau-channel of the solar broadcast; C2 = 299,792,458 m/s is not the speed of light — it is the Sun's Tau-channel frequency; life depends on C2 reception.