PDF library

Summary pages

Detailed one-page guides to the PDF library, reloaded from the local source PDFs and linked to full texts under recursivedynamics.net/pdf, with summary PDFs where available under recursivedynamics.net/pdf-summaries. The main list below stays alphabetical by title; the right index now leads with the recommended reading order and keeps individual filenames underneath.

Available Summaries A-Z

Angle-free geometry

An Angle-Free Lorentz Embedding for Directional Separation

An expanded angle-free geometry note replacing angular parametrisation with unit direction vectors, Lorentzian invariants, coordinate-time projection, no-angle torus closure, and hopfion-like linked support.

Mathematics 14 pages Read order 23
Algebraic comparison

Angle-Free Note on the Repeated Appearance of 2/3

A no-trigonometry comparison of Koide projectors, D = 3 + ε deformations, FFGFT inputs, and recursive closure routes to 2/3.

Core RSG 16 pages Read order 26
Acoustic analysis note

Average-Frequency Term in Acoustic Beat Phenomena

A careful teaching note separating the beat-product identity, recursive phase-state reading, ideal Fourier spectrum, finite-window analyzer display, and listener perception.

Mathematics 8 pages Read order 25
Black-hole correspondence note

Black-Hole Recovery Failure and Conserved-Measure Assimilation

A speculative Surtea-Austin RSG correspondence framework treating the event horizon as recovery failure while conserved measure updates black-hole bookkeeping.

Core RSG 51 pages Read order 18
Recursive phase note

Circular Phase Geometry Without Trigonometric Parametrisation

A self-contained algebraic construction of circular phase geometry from perpendicular recursive coupling, norm preservation, derived angle coordinates, and RSG survival weighting.

Mathematics 9 pages Read order 22
Measure-layer note

Einstein-Planck Mass-Frequency Measure as Matter-Like Transport

A note placing the Einstein-Planck mass-frequency correspondence inside the RSG measure package μ_n.

Propagation 8 pages Read order 12
Definitional note

Entropy in Recursive Survival Geometry

A definitional note updated with Shannon readout, survival-measure normalisation, entropy flow, and survival-closure diagnostics.

Core RSG 8 pages Read order 03
Numerical companion

Exposure-Gate Beam-Mask Demonstration

A reproducible companion note showing support-weighted beam-mask transmission, Surtea boundary valuation, gate normalisation, and controls against ordinary path-only attenuation.

Core RSG 12 pages Read order 02A
Classical discipline source

Hagakure: In the Shade of the Leaves

A selection from Yamamoto Tsunetomo’s practical and spiritual guide for a warrior, included as a discipline and retainer-language source.

Source Discipline 32 pages Read order 30
Mathematical comparison note

Homogeneous Recurrences and Homogeneous ODEs

A short comparison between homogeneous linear recurrences and homogeneous ordinary differential equations sharing a characteristic equation.

Mathematics 2 pages Read order 21
Topology bridge note

Hopfion-like Topology and Recursive Survival Geometry

A short note treating Hopfion-like structures as comparison examples of topological persistence, closure, linking, and preserved class.

Core RSG 4 pages Read order 20
Correspondence framework

Information Recovery, Support Structures, and Stress-Energy

A conditional Surtea-Austin note separating generated information, recovered information, physical support, carrier stress-energy, and the stronger information-sector conjecture.

Core RSG 21 pages Read order 17
Publication template

IPI Publishing Guide

A manuscript-preparation guide and article template for IPI Letters style submissions.

Source Discipline 2 pages Read order 31
Glossary and symbolic system

Ki-Line Theory Glossary and Elder Futhark Narrative-Weave

A terminology map for Ki-Line theory, pairing technical recursive-dynamics vocabulary with an Elder Futhark narrative layer.

Core RSG 42 pages Read order 27
Correspondence synthesis

Layered Informational Geometry

A layered IPI correspondence note connecting Surtea topology, RSG, Pascher bridge models, Phillips computational conjectures, Moseley ITR, and Kelley optical ideas.

Topology Layer 12 pages Read order 08
Light and matter bridge

Light, Matter, and the Place of Propagation

A correspondence note explaining high-energy light, photons, pair production, support, boundary, and matter-like persistence without saying ordinary light simply turns solid.

Propagation 11 pages Read order 09
Cosmology model draft

Minimal Conserved Recursive-Survival Sector v0.2

A conserved effective-sector model for asking whether transient recursive survival structure could enhance early represented structural maturation without leaving a large late-time remnant.

Core RSG 22 pages Read order 14
Empirical bridge

Network Topology as an Empirical Precursor to Recursive Survival Weighting

A cautious bridge note reading minimum-spanning-tree survival analysis as an empirical preprocessing layer for choosing candidate exposure or hazard variables before recursive survival weighting.

Core RSG 7 pages Read order 02B
Optical bridge model

Observer-Centred Effective-Index Propagation for RSG

A conditional optical-layer model for reading the observer’s past light cone through effective indices and redshift bookkeeping.

Propagation 23 pages Read order 11
Companion decoding note

Plain-Speak Equation Jigsaw for the Minimal Conserved Recursive-Survival Sector

A literal decoding sheet for the displayed equations in the minimal conserved Recursive-Survival sector paper.

Core RSG 50 pages Read order 15
Core probability note

Probability in Recursive Survival Geometry

A standalone formal note defining probability as normalised survival-representation weight, separating preparation weights, exposure-gate transmissions, log-ratio testing, entropy readout, and bridge overclaims.

Core RSG 21 pages Read order 02
Dynamics application

Recursive Survival Filtering of the Three-Body Problem

A survival-filtering formulation of the three-body problem where stability islands are read as closure-preserving histories.

Core RSG 22 pages Read order 13
Correspondence layer

Recursive Survival Geometry and Information-Theoretical Realism

A bridge note between RSG survival filtering and ITR-style informational update cost.

Core RSG 9 pages Read order 16
Core formalism

Recursive Survival Weighting in Layered Media: A Conditional Formalism and Locked Analogue Test Protocol

The v1.4 scientific/protocol paper: discrete-first recursive survival weighting, exposure-gate transmission, preparation-weighted normalisation, and a locked analogue-media comparison against ordinary attenuation.

Core RSG 66 pages Read order 01
Plain-language explainer

Simple Explanation of Traian Surtea’s Universe

A short explanatory note translating Surtea’s partition-topological universe into a jigsaw-style picture.

Topology Layer 4 pages Read order 06
Topology synthesis

Surtea-Austin Recursive Topology

A minimal framework combining Surtea topological objecthood with RSG recursive persistence.

Core RSG 11 pages Read order 04
Boundary-exposure bridge

The Surtea-Austin Triangle

A formal bridge note connecting Surtea partition support, measurable potential, positive boundary readout, Pythagorean-style ratios, and RSG survival weighting.

Topology Layer 46 pages Read order 05
Classical strategy source

The Art of War

A public-domain strategy text by Sun Tzu, included as a source for proportional action, terrain reading, timing, and conflict discipline.

Source Discipline 130 pages Read order 29
Ethic and practice

The Book of the Gravific Exponent

A field-manual doctrine of proportional repair, proper bearing, lawful hiddenness, embodied discipline, witness, and equitable persistence.

Source Discipline 59 pages Read order 28
Recursive phase note

Trig-Free Recursive Reading of Beat Phenomena

A short note explaining beats through recursive norm-preserving phase states, relative closure, and pairwise overlap rather than treating the average-frequency factor as a new spectral component.

Mathematics 5 pages Read order 24
Primary translated source

Universe: A Topological Theory

Traian Surtea’s translated topological theory of universe, objecthood, interaction, partitions, and boundary operators.

Topology Layer 40 pages Read order 07
Vacuum and support bridge

Vacuum Energy, Support, and Measure

A conditional Surtea-Austin reconstruction of rendering, light, and mass that separates energy sites, relation-vector support, survival weighting, stress-energy contrast, and sector mass bookkeeping.

Core RSG 47 pages Read order 19
Controlled analogy

Zen and the Art of Maxwell

A correspondence note reading electromagnetic propagation beside Zen concepts of openness, receptivity, passage, and record.

Propagation 13 pages Read order 10