IndisputableMonolith.Information.SimulationHypothesisStructure
Formalizes the simulation hypothesis inside Recognition Science: an RS universe is the type of all recognition events, a simulated universe is one generated by an outer process, and "being a simulation" is a predicate on that pair. The module shows that an RS universe that is a simulation of another RS universe is still RS, that simulation is unprovable from inside the ledger, and that the ledger is self-grounded. Cite it when linking Church–Turing structure in physics to claims about outer simulators.
claimAn RS universe is a type of recognition events. A simulated universe is data for an outer generator of such events. $U$ is a simulation when it arises as the image of an outer RS universe under a structure-preserving map. The ledger is self-grounded: existence of the RS universe is equivalent to zero cost of the empty configuration, and no internal observer can prove a nontrivial outer simulator.
background
Recognition Science treats physical history as a ledger of recognition events rather than as a continuum substrate. The companion module on Church–Turing structure in physics asks whether every physical process is Turing-simulable; the RS answer is that the physical Church–Turing thesis follows from the discrete, cost-gated event structure once the forcing chain fixes the tick and the cost functional.
This module imports the RS constants (including the native tick) and the J-cost apparatus, then layers simulation language on top of that event type. An RS universe is simply the type of all recognition events. A simulated universe packages an outer process that emits such events. The predicate "is a simulation" compares an inner universe to an outer one via a structure map, not via informal metaphysics.
Self-grounding is the ledger-level claim that the universe does not require an external ontological host: existence is tied to zero cost of the empty configuration, and any outer host that itself obeys RS is again an RS universe.
proof idea
Definition-heavy module with short structural lemmas, not a single deep proof. It introduces the RS-universe type, the simulated-universe bundle, and the IsSimulation predicate. Lemmas then record: a simulated RS universe is still RS; the outer universe of a simulation, if RS-constrained, is an RS universe; the ledger is self-grounded (existence iff zero cost); and simulation is unprovable from internal data alone. Church–Turing structure is attached as a hypothesis interface so the simulation story can cite physical computability without re-deriving it. The closing declaration packages the simulation hypothesis as a consequence of ledger self-grounding plus the CT structure flag.
why it matters in Recognition Science
Gives Recognition Science a precise place to host (and largely deflate) the simulation hypothesis. Downstream consumers are not yet wired in this graph (no used_by edges), so the module stands as the information-layer endpoint for "are we in a simulation?" questions. It ties directly to the IC-003 Church–Turing-in-physics thread: once every physical process is ledger-computable, an outer simulator cannot be a different kind of physics; it is again RS. Self-grounding blocks infinite regress: the ledger does not need a non-RS host. Landmarks in play are the discrete tick, the cost functional that grades events, and the claim that existence is zero-cost emptiness rather than an external bootloader. Open edge: discharging has_ct_structure fully against the forcing chain so simulation_hypothesis_from_ledger is unconditional.
scope and limits
- Does not prove we are not simulated; only that internal proof of a nontrivial outer simulator is unavailable.
- Does not construct an explicit outer Turing machine or simulator code.
- Does not discharge Church–Turing structure; that remains an attached interface.
- Does not address non-RS outer hosts outside the ledger ontology.
- Does not derive new particle masses, alpha, or forcing-chain steps T5–T8.
depends on (3)
declarations in this module (19)
-
structure
RSUniverse -
theorem
rs_universe_determined_by_events -
structure
SimulatedUniverse -
theorem
simulated_rs_is_rs -
def
IsSimulation -
theorem
simulation_unprovable -
theorem
outer_universe_is_rs_universe -
def
ledger_is_self_grounded -
theorem
ledger_self_grounding -
theorem
rs_exists_iff_zero_cost -
theorem
has_ct_structure -
def
simulation_hypothesis_from_ledger -
theorem
simulation_hypothesis_structure -
theorem
simulation_implies_church_turing -
def
simulation_argument_dissolved -
theorem
simulation_reduces_to_tautology -
theorem
phi_not_finitely_simulable -
theorem
simulation_substrate_must_be_real -
def
ic004_certificate