Layered Protocol Cosmology after Prototype Reassessment: Core Hypotheses, Minimal Formal Specification, and Research Boundaries / 層状プロトコル宇宙論(LPC)の原型再評価

Abstract

【English Abstract】 Layered Protocol Cosmology (LPC) has previously been explored through several model-specific and effective constructions, including complex-field, higher-dimensional and open-system candidates, a Brans--Dicke-type effective description with logarithmic information granularity, and a diagnostic two-field extension. These constructions provide technical assets and candidate implementation ingredients, but they do not by themselves define a unique underlying LPC theory. In this work, we present a structured reassessment of the LPC prototype and separate its current core from earlier model-specific implementations. The reconstructed prototype core consists of six working hypotheses concerning multiple LayerUniverses, inter-LayerUniverse gravitational transmission, the requirement that gravity remain the same gravity across LayerUniverses while allowing LayerUniverse-dependent behavior, a possible relation among black-hole information concentration, information transfer and child-universe formation, a parent--child informational relation, and a possible relation between transferred information and child-side physical laws or LayerProperties. We translate these hypotheses into mathematical representation requirements and construct a minimal typed formal specification without selecting a specific action, field content, spacetime dimensionality, geometry, information measure, conservation principle, or microscopic transfer mechanism. A subsequent semantic and hierarchical consistency audit retains this specification as an internally controlled representation of the adopted prototype hierarchy, rather than as a completed dynamical theory. Limited Stage-7 concretizations increase the framework's qualitative representational capacity, but only G-U4, G-U7, and G-U11 become partially concretized and remain unresolved; substantial structural and dynamical domains remain explicitly undefined. Subsequent NON-FORMAL and MODEL-SPECIFIC boundary investigations do not modify these Formal states and do not establish additional adopted bridges under their respective fixed inputs, assumption strengths, and evaluated candidate classes. The present work therefore does not establish the physical correctness, empirical validity, uniqueness, microscopic completion, or academic novelty of LPC. Instead, it provides a constrained prototype-level reference framework for future model construction. A future realization program may introduce stronger MODEL-SPECIFIC assumptions explicitly and test concrete candidate models against the reconstructed LPC core without retroactively identifying those assumptions with the prototype itself. [日本語概要] Layered Protocol Cosmology(LPC;層状プロトコル宇宙論)は、これまで複素場、高次元・開放系候補、対数的情報粒状性を伴う Brans--Dicke 型有効記述、診断的二場拡張など、複数の model-specific / effective constructions を通じて検討されてきた。これらは技術資産および候補実装要素を提供するが、それ自体で一意な基礎 LPC theory を定義するものではない。 本稿では、LPC prototype を構造的に再評価し、current core を過去の model-specific implementations から分離する。再構成された prototype core は、multiple LayerUniverses、LayerUniverse 間 gravitational transmission、LayerUniverse-dependent behavior を許しながら gravity が「同じ重力」のままであるという要件、black-hole information concentration・information transfer・child-universe formation の可能関係、parent--child informational relation、ならびに transferred information と child-side physical laws / LayerProperties の可能関係に関する六つの working hypotheses から成る。 これら hypotheses を mathematical representation requirements へ変換し、specific action、field content、spacetime dimensionality、geometry、information measure、conservation principle、microscopic transfer mechanism を選択することなく minimal typed formal specification を構成する。後続の semantic and hierarchical consistency audit により、この specification を completed dynamical theory ではなく、採用した prototype hierarchy の内部的に制御された representation として保持する。 Stage 7 の限定具体化により framework の qualitative representational capacity は増加したが、G-U4、G-U7、G-U11 は \textbf{PARTIALLY CONCRETIZED --- NOT RESOLVED} に留まり、substantial structural / dynamical domains は明示的に \textbf{UNDEFINED} のままである。後続 NON-FORMAL / MODEL-SPECIFIC boundary investigations はこれら Formal states を変更せず、それぞれの fixed inputs、assumption strengths、evaluated candidate classes の下で追加の adopted bridges を確立していない。 したがって本稿は、LPC の physical correctness、empirical validity、uniqueness、microscopic completion、academic novelty を確立するものではない。代わりに、future model construction のための constrained prototype-level reference framework を提供する。将来の realization program は、より強い MODEL-SPECIFIC assumptions を明示的に導入し、それらを prototype 自体と retroactively 同一視することなく、reconstructed LPC core に対して concrete candidate models を検査できる。