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
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