Hylo Phase Framework (HPF)

Canonical Presentation Package

Repository Front Page and Reading Guide — Milestone Lock State (2026-04-15)

Previously: Holographic Projection Framework (HPF)

Role of this file: This README is the front door to the repository. It states what HPF is, what it is not, how the package is organized, which files are authoritative, what the current milestone locks are, and what order to read the material in.

What this README does not do by itself: It does not replace the canon volumes, the microscopic executable record, the provenance/status map, or the dedicated vacuum-sector derivation package. Those remain the job of the individual files listed below.

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1. What HPF is

The Hylo Phase Framework (HPF) is a regulatory execution framework for bounded physical evolution on a finite-capacity substrate.

In operating language:

HPF is the physics OS.

HPF does not attempt to be a blanket Theory of Everything. Its role is narrower and stricter:

1. enforce hard execution constraints,
2. track bounded substrate load,
3. distinguish legality from validity,
4. govern expert routing and lawful handoff,
5. determine when effective theories remain trustworthy,
6. route execution to deeper substrate-side authority when effective descriptions cease to remain valid or legal.

The framework is implemented architecturally as a layered stack rather than a single monolithic theory claim.

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2. Fixed architecture

The dependency order is fixed:

1. HPF — regulator / legality framework
2. MDEA — routing kernel / model-of-expertise execution layer
3. GR / QM / effective theories — downstream expert regimes
4. QPRCA — deeper substrate expert / handoff destination

This order must not be inverted.

2.1 Non-negotiable framework rules

• HPF is not an object-level gravity theory.
• Geometry is not the regulator.
• QPRCA is not the regulator; it is a substrate-side expert governed by HPF.
• Legality and validity must not be collapsed.
• Candidate phenomenology must not be silently promoted into canon.
• Branches must not be mixed without an explicit bridge theorem.
• HPF forbids more than three physical spatial dimensions in emergent geometry. Higher-dimensional mode spaces, topological classifications, or state spaces are legal only as descriptive structure inside a 3D forged substrate, not as extra physical directions.

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3. Core substrate picture

The current HPF package is built on a BCC Fibonacci substrate with finite execution capacity and discrete lawful update structure.

3.1 Live microscopic grammar

The local executable line uses the candidate-locked 4-bit site alphabet

$$(n_L,n_R,b,q).$$

This is no longer treated as provisional "toy" language. It is the current candidate-locked fundamental operator grammar of the substrate.

That gives:

• $2^4 = 16$ local configurations,
• $15$ active non-vacuum microstates,
• the active complete-cycle count

$$N_{\rm cycle} = 24 \times 15 = 360,$$

where the factor 24 is the active BCC spatial sector count.

This April 9, 2026 milestone closes Obligation 1 of the Fine Structure Constant candidate note and is part of the live package state.

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4. Current active anchors

The following anchors are not to be blurred or generalized away in the package.

4.1 Single empirical blur anchor

The live blur anchor is

$$S_{\rm blur}=1.05.$$

Under HPF mapping this is tied to the coherence-loss midpoint behavior in the Lin et al. single-atom double-slit program and serves as the single empirical blur anchor for the current vacuum-sector derivation package.

4.2 Nyquist denominator

The live residual margin is

$$\eta=\frac{1}{48}.$$

This is derived from BCC 24-sector Nyquist geometry with zero free parameters:

$$\eta = \frac{1}{2N_s} = \frac{1}{48}.$$

This is a first-principles substrate count, not a fitted coefficient.

4.3 Live phase landmarks

The active phase landmarks are:

• $S_{\rm blur}=1.05$
• $S_{\rm ent}=1.3806$
• $S_{\rm cap}=5.7889$

The old rounded 1.4 marker is retained only as historical development context. The live lower onset is $S_{\rm ent}=1.3806$.

4.4 Active vacuum-branch outputs

The active vacuum branch uses the corrected radial law

$$L_{\rm vac} = \frac{R_H}{\varphi^n}$$

with no /2 factor in the radial identity.

Current live vacuum-branch state:

• $n=220$ is geometry-native: $n = \mathrm{round}(N_s^2/\varphi^2) = \mathrm{round}(220.012) = 220$,
• $\Lambda \approx 1.081 \times 10^{-52}\ \mathrm{m^{-2}}$ in the current package,
• $\Omega_{\rm dm} \approx 26.29%$ through the governor-transfer branch,
• S_cap is now treated as substrate-native / derived, not as theoretically open.

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5. Repository structure

This repository is organized into four main lanes:

• Docs/ — core canon volumes
• Reference/ — theorem notes, correction notes, provenance, and symbol support
• Phenomenology/ — candidate and exploratory phenomenology lanes
• Src/ — executable and operational artifacts

This split is intentional. It prevents active canon, support infrastructure, candidate tracks, and executable artifacts from being conflated.

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6. Repository contents

6.1 Core canon volumes (Docs/)

• Docs/Volume_I_Foundations.md Top-level canonical framework statement and fixed architectural commitments.

• Docs/Volume_II_Microscopic_Derivation.md Microscopic executable-development line, legality theorem spine, registry repair, continuation-ambiguity line, and bridge/existence-sensor material.

• Docs/Volume_III_Provenance_and_Status.md Authority ladder, truth-status partition, supersession rules, contamination exclusion, and live-reference map.

• Docs/Volume_IV_Lambda_and_Dark_Matter.md Active vacuum-sector derivation package for the cosmological constant and dark-matter fraction, including the current handling of the blur anchor, Nyquist denominator, and selector chain.

6.2 Reference support (Reference/)

• Reference/Symbol_Index.md Live symbol and notation reference for the current canon set.

• Reference/HPF_Derivation_Provenance_2026-3.md 2026 research-paper-state provenance support for the current $\Lambda$/dark-matter derivation chain.

• Reference/HPF_Development_History-4.md Development-path record preserving discovery order, constant provenance, and upgrade history.

• Reference/HPF_Scap_SubstrateNative_Derivation.md Closure note establishing the live substrate-native status of S_cap.

• Reference/Delta_Collapse_Theorem_Note_v7U.md Theorem-track support note for the active $S_{\rm cap}$ / $\delta_{\rm collapse}$ spine.

• Reference/HPF_Correction_Note_Bcap_and_ChiGeom.md Closure/provenance correction note including the live $B_{\rm cap}$ and $\chi_{\rm geom}^{*}$ starter language.

• Reference/Governor_Transfer_Theorem.md Support theorem for the dark-matter branch transfer $$f_{\rm coh}\rightarrow \alpha_{\rm vac}\rightarrow \Omega_{\rm dm}.$$

• Reference/Existence_Sensor_Protocol.md Protocol note for the existence-sensor line used with the executable stack.

• Reference/HPF_Repo_Status_Memo.md Package-status memo and live correction/status tracker.

• Reference/HPF_Mirror_Buffer_Correction_Note_draft.md Candidate passive mirror buffer correction for sublattice-sensitive observables. All three obligations closed as of 2026-04-12.

• Reference/hpf_boundary_condition_note_mirror_buffer_handoff_2026-04-10.md Boundary condition note closing the geometric-prose phase of the mirror buffer inquiry and defining the QPRCA handoff obligations.

• Reference/HPF_b72_Passive_Mirror_Correction_Reference_2026-04-15.md Standalone consolidation of the b/72 passive mirror correction. Unifies the mirror-buffer draft, obligation closure, and Bell-Tsirelson candidate note. All three obligations closed.

• Reference/HPF_QPRCA_Hard_Execution_Protocol_2026-04-15.md Protocol note for the k=11→∞ transition, frozen boundary states, and mandatory continuation under QPRCA hard-gate execution. Executable-confirmed 2026-04-15.

• Reference/HPF_Regulator_Availability_Bridge_Note_2026-04-10.md Bridge note mapping the portable regulator object $\alpha(x)$ across the dimensional ladder from local availability to vacuum closure $\alpha_{\rm vac}$.

6.3 Candidate and exploratory phenomenology (Phenomenology/)

• Phenomenology/HPF_Fine_Structure_Constant_Candidate_Note_2026-04-10_final.md Candidate note for the fine-structure constant lane. Current live status: both derivational obligations are closed at the note level; the lane remains candidate, not canon, and the tiny surviving residual is read as consistent with a passive mirror-buffer correction candidate explanation rather than a canon-closed derivation.

• Phenomenology/HPF_Neutrino_Mass_Hierarchy_Candidate_Note.md Candidate note for the neutrino hierarchy lane.

• Phenomenology/HPF_Photon_Ring_Candidate_Note.md Candidate note for the photon-ring lane.

• Phenomenology/HPF_Stochastic_Jitter_Falsifier_Candidate_Note.md Candidate falsifier lane tied to scheduler discreteness and propagation-induced broadening.

• Phenomenology/HPF_Vacuum_Catastrophe_Candidate_Note.md Candidate note for the vacuum-overcount problem and branch-mixing questions.

• Phenomenology/candidate_substrate_hpf.md Registry-derived executable substrate candidate note.

• Phenomenology/hpf_phenomenology_subject_dimensional_closure_and_3_d_forging.md Exploratory phenomenology note retained outside active canon.

6.4 Executable and operational artifacts (Src/)

• Src/qprca.py Front active executable interface.

• Src/HPF_QPRCA_BCC_v0_3_0.py BCC bipartite automaton — v0.3.0. Closes four build gaps from the 2026-04-15 handoff: BCC A/B sublattice topology, Fibonacci shell propagation, full B/R/A/P channel activation, and DCT return-class capacity executable verification. Derives η=1/48 and n=220 from geometry; S_cap no longer imported.

• Src/HPF_QPRCA_MicroToy_v0_2_7_BridgedContinuationAmbiguity_2026-03-20.py Canonical March 20 executable reference. The filename is historical; the 4-bit alphabet documented there is now treated under the April 9 epistemic upgrade rather than as a toy harness.

• Src/sigma_pressure_test.json

• Src/AI_Engine_Registry_Prompt.md

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7. What is active, what is candidate, what is historical

7.1 Active canon

• Volumes I–IV
• Symbol Index
• current correction / provenance / theorem support notes in Reference/

7.2 Candidate

• fine-structure, neutrino, photon-ring, jitter, and other phenomenology notes unless explicitly promoted

7.3 Historical / archive only

• superseded archive files in Docs/Archive/
• older wording that predates the corrected no-/2 radial law
• older wording that treats 1.4 as the live lower onset
• older wording that leaves S_cap theoretically open after the closure note
• older wording that treats the 4-bit alphabet as merely "toy"

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8. Recommended reading order

For a serious first pass through the repository:

1. README.md
2. Docs/Volume_I_Foundations.md
3. Docs/Volume_II_Microscopic_Derivation.md
4. Docs/Volume_III_Provenance_and_Status.md
5. Docs/Volume_IV_Lambda_and_Dark_Matter.md
6. Reference/Symbol_Index.md
7. Reference/HPF_Derivation_Provenance_2026-3.md
8. Reference/HPF_Development_History-4.md
9. Reference/HPF_Scap_SubstrateNative_Derivation.md
10. Reference/Delta_Collapse_Theorem_Note_v7U.md
11. Reference/Governor_Transfer_Theorem.md
12. Reference/HPF_Correction_Note_Bcap_and_ChiGeom.md
13. Reference/Existence_Sensor_Protocol.md
14. Src/qprca.py

Candidate notes should be read after the canon and reference stack, not before.

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9. Short package freeze

HPF is a regulatory physics OS, not a catch-all theory. It governs legality, validity, and handoff across bounded execution regimes on a BCC Fibonacci substrate. The active package is the four-volume canon plus the live reference stack. The corrected no-/2 radial law is active. The live lower onset is $S_{\rm ent}=1.3806$. The residual denominator is $\eta=1/48$ from BCC 24-sector Nyquist geometry with zero free parameters. S_cap is substrate-native / derived. $n=220$ is geometry-native: $\mathrm{round}(N_s^2/\varphi^2)$. The 4-bit alphabet $(n_L,n_R,b,q)$ is the candidate-locked fundamental operator grammar with 15 active non-vacuum microstates. Candidate phenomenology remains separated from canon, and excluded contamination remains excluded.

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References used by the live package

• Lin, H., Lu, Y.-K., Fedoseev, V., Lee, Y. K., Lyu, J., & Ketterle, W. Fringe visibility and which-way information in Young's double slit experiments with light scattered from single atoms. arXiv:2507.19801.