Clock-Throttle Gravity Replacing General Relativity in a Grand Unified Description of the Four Forces + ΛCDM + 40 benchmark validations tests - GTOSM
Abstract
GTOSM: https://zenodo.org/records/18424089Video: https://www.youtube.com/watch?v=tULFCWXrxks GTOSM V7 in one paragraph GTOSM V7 is a single discrete “tick” update law for an immutable lattice in which everything that looks like a force is not a primitive field, but a calculator extracted from the same update by choosing the relevant coarse statistic. The global state (S(n)) explicitly contains many simultaneous domains (many bodies / many “identities”) plus lattice-owned bookkeeping (corridor readiness, boson records, exported bias, adjustment/energy ledger). Quantum mechanics is the coherent η=0 regime: corridor admissibility adds over alternatives, phases accumulate via the declared phase ledger, and a complex amplitude (ψ) is a derived coarse statistic; the Born rule is forced by refinement-consistent event binning. Gravity is not curvature-first: it is the clock-throttle statistic (f) (success fraction of optimal completions) induced by routing pressure (MD); proper time is operationally (dτ=f,dt), and a metric-like calculator can be derived for propagation benchmarks without treating geometry as fundamental. Electromagnetism is not “virtual photons”: it is constraint/bias organization producing a gauge-effective phase/work channel (holonomy/flux quantization drops out of the phase rule), and Maxwell’s PDE form appears as the minimal local linear closure compatible with charge conservation and causal propagation. Weak interactions are sparse η=1 hazard events (rare non-optimal activations) giving decay clocks; strong interactions are persistent boundary impedance giving confinement cost (linear slope (σ)) as the effective long-distance handle. Dark matter is GTOSM’s exported enforced-constraint bookkeeping (nW0) that contributes to routing pressure (hence gravity) while remaining EM-silent in the model; dark energy is a domain/horizon-scale residual floor effect arising from integer event accounting over huge boundary patch counts, mapped to an effective (Λ_\text{eff}) in the cosmology dictionary. Singularities are not fundamental objects in this ontology: when routing is maximally throttled (e.g., clamp/horizon conditions), the theory treats the interior as operationally inaccessible (no event-internal degrees of freedom to “sample”), so “singularity” becomes a correspondence-layer artifact rather than a primitive entity. Master equation (short form) S(n+1) = 𝕌(S(n), ξ(n)) (S(n)): full lattice + all domains at tick (n) (𝕌): the single closed tick update map (all dynamics) (ξ(n)): only explicitly declared randomness (hazard/event draws) Master equation (expanded tick form, A–H) Let the primitive global state be:S(n) = ( O, C, W_lattice, B, nW0, N_adj )with many domains (j∈J(n)) embedded via O(j;·,n) and C(j;·,·,n). One tick (n→n+1) is: A) Prepare lattice corridorsW_lattice(·,·,n) = Π_prep(S(n)) B) Apply domain boundary masks (enforced constraints)W_eff(j;x,ê,n) = W_lattice(x,ê,n) · (1 − C(j;x,ê,n)) on ∂D(j;n) C) Choose one attempted boundary corridor per domaina(j;n) = Π_attempt(j; S(n)) D) Draw non-optimal indicator on the attempted corridorη(j;n) ∈ {0,1} from the declared hazard law E) Resolve completion on the attempted corridor a(j;n)=(x,ê) if η=1: h=1 (forced completion) if η=0: P(h=1 | η=0) = f(x,n) · W_eff(j;x,ê,n)where f(x,n)=F(MD(x,n)) is the hit-fraction/clock throttle induced by routing pressure MD F) Update occupancies with exclusivity across domainsO(j;·,n+1) = Π_occ(j; S(n), a, h, conflicts)with exclusivity O(j;x,n+1)O(k;x,n+1)=0 for j≠k G) Update constraints and exported bias bookkeeping if η=0: C(j;·,·,n+1)=C(j;·,·,n) if η=1: C(j;·,·,n+1)=C_new(j;·,·,n) and deposit/update nW0(·,n+1) H) Update adjustment/energy and boson bookkeepingN_adj(n+1)=N_adj(n)+Σ_j ΔN_adj(j;n)B(·,·,n+1)=Π_boson(η events, h events) That is the whole theory’s dynamical core: one update, many domains, all interactions as sector statistics of this update.
Fields of Study & Subjects
Relativity and Gravitational Theory
Noncommutative and Quantum Gravity Theories
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 3 March 2026
- Language
- EN