Quantum mechanics describes the potential future; general relativity describes the actualized past; the present is the process of actualization that turns the one into the other. That single move is Time–Actualization (TA), the foundational ontology set out here. TA assumes the quantum formalism and the relativistic causal structure, and derives neither: it adds no new physics, makes no new prediction, and asks to be judged on coherence and unifying power rather than on a measurement. It proposes a common ontological reading of measurement, EPR and the structural arrow of time. D5 locates the einselecting environment in the event's causal past; the couplings within that past remain imported, and the system/environment split is relocated rather than removed. In detail. The ontology is a minimal triplet (ρ, ν, ⟨P,≺⟩): a positive normalized state ρ on a local net of algebras (the conditional future potential), a primitive tempo ν (the rate of becoming), and a growing causal set ⟨P,≺⟩ (the past). What is not derived, and is named as such throughout, is the Born rule, Einstein's equations, and the constants. Eight core hypotheses yield seven consequences. A structural arrow of time, prior to thermodynamics (D1). A partial dissolution of the measurement problem (D2), with definiteness posited and the trigger open. Conditional dissolutions of EPR and the signalling worry (D3–D4), requiring a propagation law. A preferred basis anchored in the couplings carried by the causal past (D5). A conditional thermodynamic reading of the structural arrow (D6), requiring a posited bridge to physical reset, and further thermal assumptions for its value. And a conditional coherence lemma (D7): the actualization dynamics is generally covariant and no-signalling once the substrate carries the standard locality of physics. D7 claims less than the Rideout–Sorkin Bell causality condition, which is a screening-off analogue of Bell's local causality and is not inherited. We then develop the proposed physics of the tempo ν: a correspondence with a local quantum speed scale and a saturation choice, both posited. Quantum speed limits alone do not bound an ontic event count. The missing bridge must specify event resolution, additive counting and an applicable composable speed bound. The substrate cadence that reconstructs proper time is kept distinct from a system's tempo; their operational connection remains to be supplied. TA aims at empirical equivalence to quantum mechanics on a causal-set substrate. We label the admissibility requirement P5; its verification, including instrumented multi-time statistics, remains open. No distinctive prediction is claimed. The causal-set "swerve" is inherited from discreteness, generic and not specific to actualization. We close with the open dynamics, its system/substrate interface, the conditional constitution of systems, and the inherited limits of the programme.
Quantum mechanics describes the potential future; general relativity describes the actualized past; the present is the process of actualization that turns the one into the other. That single move is Time–Actualization (TA), the foundational ontology set out here. TA assumes the quantum formalism and the relativistic causal structure, and derives neither: it adds no new physics, makes no new prediction, and asks to be judged on coherence and unifying power rather than on a measurement. It proposes a common ontological reading of measurement, EPR and the structural arrow of time. D5 locates the einselecting environment in the event's causal past; the couplings within that past remain imported, and the system/environment split is relocated rather than removed. In detail. The ontology is a minimal triplet (ρ, ν, ⟨P,≺⟩): a positive normalized state ρ on a local net of algebras (the conditional future potential), a primitive tempo ν (the rate of becoming), and a growing causal set ⟨P,≺⟩ (the past). What is not derived, and is named as such throughout, is the Born rule, Einstein's equations, and the constants. Eight core hypotheses yield seven consequences. A structural arrow of time, prior to thermodynamics (D1). A partial dissolution of the measurement problem (D2), with definiteness posited and the trigger open. Conditional dissolutions of EPR and the signalling worry (D3–D4), requiring a propagation law. A preferred basis anchored in the couplings carried by the causal past (D5). A conditional thermodynamic reading of the structural arrow (D6), requiring a posited bridge to physical reset, and further thermal assumptions for its value. And a conditional coherence lemma (D7): the actualization dynamics is generally covariant and no-signalling once the substrate carries the standard locality of physics. D7 claims less than the Rideout–Sorkin Bell causality condition, which is a screening-off analogue of Bell's local causality and is not inherited. We then develop the proposed physics of the tempo ν: a correspondence with a local quantum speed scale and a saturation choice, both posited. Quantum speed limits alone do not bound an ontic event count. The missing bridge must specify event resolution, additive counting and an applicable composable speed bound. The substrate cadence that reconstructs proper time is kept distinct from a system's tempo; their operational connection remains to be supplied. TA aims at empirical equivalence to quantum mechanics on a causal-set substrate. We label the admissibility requirement P5; its verification, including instrumented multi-time statistics, remains open. No distinctive prediction is claimed. The causal-set "swerve" is inherited from discreteness, generic and not specific to actualization. We close with the open dynamics, its system/substrate interface, the conditional constitution of systems, and the inherited limits of the programme.
The causal-set programme proposes that spacetime is, at bottom, a discrete poset whose Lorentzian geometry emerges, endowed with a covariant sequential growth dynamics. It leaves open, however, two points that an ontology must settle: the status of the "becoming" of growth (a computational procedure or a real process?), and the basis of its quantum version (quantum sequential growth, QSG, does not specify the basis of the histories). We show that the theory Time–Actualization (TA) proposes an ontological answer: becoming is posited as real actualization, while the basis is selected by the couplings carried by the causal past, where that monitoring supplies a sharp basis. This identifies an environment within the ontology; it does not derive its coupling content or construct the full quantum dynamics. We present the interface as a consistency bridge, not a refoundation. The emergent geometry and its Hauptvermutung remain inherited, and the dynamical law of actualization remains open. The proposed unification concerns a common process reading of flashes, system actualizations and causal-set growth; their different rates still require an explicit interface.
The ontological triplet of Time–Actualization (TA) comprises three primitives, one per temporal mode: ρ (the potential future, the object of quantum mechanics), ⟨P,≺⟩ (the causal past, the object of relativity), and ν (the tempo of the present). The two external primitives are imported. ν is TA's own, and hence the only locus of a physics that might belong to it — within one limit: ν is the cadence of a system, not of the substrate, whose own cadence comes with the causal set. This article details that physics in a single sweep, one section per heading. (A) Law: TA posits a correspondence between ν and an energy scale motivated by quantum speed limits, together with saturation where attainable; a bound on state motion alone does not bound an ontic event count. (B) Two cadences: the tick assigned to a system event is distinct from the substrate's far finer scale, and agreement with substrate proper time remains a correspondence requirement. (C) Covariance: the proposed energy scale is a Lorentz scalar in the effective clock regime considered here; this does not construct a covariant actualization dynamics. (D) No signature: empirical equivalence with quantum mechanics on the causal-set substrate is an admissibility requirement whose full verification remains open. The contribution is a conditional ontological reading of imported physics.
The "preferred-basis problem" — why does measurement produce definite outcomes in this basis rather than another — is treated in opposite ways by the interpretations of quantum mechanics: posited ab initio (spontaneous collapse), drawn from a contingent environment (decoherence), left to the choice of a framework (decoherent histories), avoided (many-worlds, pilot wave). We show that in the Time–Actualization ontology — where measurement is an instance of the universal process of actualizing quantum potentialities into events — the preferred basis is anchored in the causal past of the event, together with a readiness condition: which events that past has made ready to actualize. TA does not introduce a new selection mechanism: it identifies the environment of einselection with the already-actualized causal past — an environment that is not posited outside the formalism (unlike an external classical apparatus), but is part of the same substrate. The causal location of this environment is foliation-independent; its monitoring content depends on the couplings, not on the bare order alone. Covariance of the associated operations requires the locality hypotheses stated below. The uniqueness of outcomes is posited, not explained. Born's rule remains imported, and empirical equivalence with quantum mechanics on the causal-set substrate is a requirement still to be verified for a complete dynamics. The contribution is ontological and local to the preferred-basis question. A symmetric downstream mechanism — the redundant proliferation of the outcome into the causal future (quantum Darwinism) — in addition accounts for the inter-observer objectivity of the actualized fact, without deriving it.
Time-Actualization (TA) is a foundational interpretation empirically equivalent to quantum mechanics on a causal-set substrate: it makes no new prediction (a consequence, forced by assuming QM, we label P5). It therefore has, by construction, no value in hard physics -- no algorithm, no measurement, no experimental gap. This essay raises a distinct question: if one adopts TA as the correct reading of the world, what does this commit one to outside physics? We argue that TA delivers a coherent package of foundational stances -- a real objective present, an ontologically open future, an objective chance, a non-classical logic of the contingent, a primary becoming -- whose radiance is limited exactly to those domains that are themselves theories of the foundation: philosophy of time, of logic, of probability, of mind, and process metaphysics. We delimit this radiance without evasion: it is conditional (the premise "the universe is TA" is not establishable against its empirical twins), interpretative (ontological clarity, never a measurable fact), and bounded (nothing in the empirical sciences). This is the profile of a foundational contribution assumed as such.
Presentism and the growing block universe make the present an objective frontier, but presuppose a global "now" that the relativity of simultaneity forbids — the Rietdijk–Putnam argument, which pushes the metaphysics of time toward eternalism (past, present and future equally real). We defend a metaphysical thesis that aims at empirical equivalence with quantum mechanics on a causal-set substrate; full verification of that requirement remains open. In the Time–Actualization (TA) ontology, the present is not a slice of simultaneity but the act of actualization of quantum potentialities into events. Covariance is required: the order of birth of events is gauge, while causal order and regional event count are physical. This reading instantiates a growing block universe without a global present, so the relativistic objection loses its purchase (it targets a global "now" that TA does not have). This dissolution is, originally, Stein's point-relative becoming; TA inherits it and lodges a process within it, uniting Stein's becoming and the covariant growth of Rideout–Sorkin causal sets under a single realist reading. The identification this proposes — becoming is actualization, and the act of actualization is, ontologically, the measurement event (whose basis and readiness TA anchors, with outcome weights imported from Born) — is advanced as programmatic: a conjecture to be earned, not a result already in hand (Sec. 7). The contribution is an ontological synthesis, not a new formalism or a new prediction.
Relational Actualism (RA) is a foundational framework in which on-shell actualization events — irreversible physical interactions satisfying ΔS(ρ‖σ₀) > 0 that write permanent vertices into a growing causal Directed Acyclic Graph — are taken as the primitive constituents of physical reality. From this single ontological commitment, with no new fields or free parameters, the framework derives the results of Papers 1–3 and unifies quantum mechanics, general relativity, and emergent complexity under one algorithm. The Engine of Becoming is a five-step Covariant Stochastic Graph Rewriting System. Step 1 identifies the causal frontier ∂G. Step 2 assigns quantum amplitudes to all possible extensions via Sorkin's foliation-independent quantum measure. Step 3 filters candidates by the entropy criterion ΔS > 0 — a Lorentz scalar, formally verified as frame-independent in Lean 4. Step 4 selects actualizing events with probability given by the quantum measure, yielding the Born rule without postulate. Step 5 recomputes the effective metric from the actualization density λ(x) via Gᵤᵥ = 8πG(Tᵤᵥ^(A) + Θᵤᵥ^(λ)), where Θᵤᵥ^(λ) = ξ[∇ᵤ∇ᵥ(ln λ) − gᵤᵥ□(ln λ)]. Quantum mechanics is the Level-2 (slowly varying λ) limit. General relativity is the Level-3 (dense graph) limit. The Einstein equations with Λ = 0 are the unique macroscopic output, established by the Local Ledger Condition (Lean-verified), the BDG action as the unique discrete Lorentz-invariant action in d = 4 (Glaser 2014), and Lovelock's uniqueness theorem. Time in RA is not a background parameter. Time is the process of the causal DAG growing. Proper time along a worldline is the count of actualization events τ = N_act/λ₀. The arrow of time is not derived from entropy gradients: it is encoded in the directed edges of the DAG, which are irreversible by construction. Ontic randomness at Step 4 is irreducible: the outcome of an actualization event is not determined by any prior fact in V. This is not epistemic uncertainty but the universe's genuine openness. The framework generates an emergent complexity hierarchy through iterated Step-5 coarse-graining. Biological assembly corresponds directly to actualization events (each JOIN operation in Assembly Theory is an exothermic on-shell energy transfer, confirmed by B3LYP/6-311+G* DFT across all five primary biological bond types). The Causal Firewall is the μ = 1 Erdős-Rényi percolation transition: the same critical actualization density governs QCD confinement–deconfinement, flat galactic rotation curves, fault-tolerance thresholds in quantum error correction, and the onset of stable biological complexity. Biosignatures should correlate with thermodynamic environments sustaining μ ≥ 1. The complete falsifiable prediction set of the program comprises 18 specific predictions spanning particle physics, quantum optics, cosmology, quantum computing, and astrobiology, all tabulated here. Hard walls are stated with precision: Bianchi compatibility, amplitude locality (discrete intrinsic proof), continuum limit convergence, and the covariant □(ln λ) extension. Collaboration targets are identified for each.