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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Physicality in the NSk/ψ Programme: Activation Gate, Ignition of Local P = 1 States, and the Cyclic Switching-On of the Physical World

Fizyczność w programie NSk/ψ: bramka aktywacji, zapłon lokalnych stanów P=1 P=1 i cykl włączania świata fizycznego
Authors: Nowak, Paweł;

Physicality in the NSk/ψ Programme: Activation Gate, Ignition of Local P = 1 States, and the Cyclic Switching-On of the Physical World

Abstract

In this paper, we introduce and formalise the mechanism of physicality activation in the NSk/ψ programme as a standalone logic gate, providing a bridge between the pure mathematical Anchor and the operational dynamics of the Universe. The activation of the physical world takes the form of a hard Physicality Gate (Φgate), defined as the conjunction of two independent conditions evaluated on a realisation lattice L for a local existence density P. The gate is expressed as Φgate=ArmCond∧IgnCond, where ArmCond is the arming of the gate (exceeding the threshold coarse-graining loss, Δ21S>θarm), and IgnCond is the ignition (the emergence of at least two localised P=1 states at a graph distance dL≤δign). The main results of the module include: a proof of the lack of mutual implication between the conditions: the entropic loss alone does not trigger ignition (it constitutes only the arming), and the localised P=1 states alone do not imply a sufficient information gradient; the derivation of a local saturation principle directly from the domain of the function P∈[0,1], which naturally protects the model from collapsing into a singularity (a topological analogue of the Pauli Exclusion Principle); the definition of a cyclic switching-on/off of physicality (PhysSect∈{0,1}), where extinction deactivates the operational dynamics while preserving the intact background geometry; the establishment of a strict contract for the NSk--Micro module, delegating to it the task of the operational stabilisation of the thus initiated multi-scale error (T21).

W pracy wprowadzamy i formalizujemy mechanizm aktywacji fizyczności w programie NSk/ψ jako samodzielną bramkę logiczną, stanowiącą pomost między czystą Kotwicą matematyczną a operacyjną dynamiką Wszechświata. Aktywacja świata fizycznego ma postać twardej Bramki Fizyczności (Φgate), definiowanej jako koniunkcja dwóch niezależnych warunków ewaluowanych na kratownicy realizacyjnej L dla lokalnej gęstości istnienia P. Bramka przyjmuje postać Φgate=ArmCond∧IgnCond, gdzie ArmCond to uzbrojenie bramki (przekroczenie progowej straty coarse-grainingu, Δ21S>θarm), a IgnCond to zapłon (pojawienie się co najmniej dwóch zlokalizowanych stanów P=1 w odległości grafowej dL≤δign). Główne wyniki modułu obejmują: dowód braku wzajemnej implikacji między warunkami: sama strata entropijna nie wyzwala zapłonu (stanowi jedynie uzbrojenie), a same zlokalizowane stany P=1 nie implikują wystarczającego gradientu informacji; wyprowadzenie lokalnej zasady nasycenia wprost z dziedziny funkcji P∈[0,1], co w sposób naturalny chroni model przed kolapsem do osobliwości (topologiczny odpowiednik Zakazu Pauliego); zdefiniowanie cyklu włączania/wyłączania fizyczności (PhysSect∈{0,1}), w którym wygaszenie deaktywuje dynamikę operacyjną, zachowując nienaruszoną geometrię tła; zbudowanie ścisłego kontraktu dla modułu NSk--Micro, przekazując mu zadanie operacyjnej stabilizacji zainicjowanego błędu wieloskalowego (T21).

Keywords

activation gate, q3D torus, NSk/psi, realisation lattice, spectral anchor, ignition condition, entropic loss, existence density, coarse-graining, physicality gate, physical sector activation, Big Bang analogue, physicality

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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