Public Research Release - Hinton 2026
PUBLIC RESEARCH RELEASE
Scale Recursion - Sirius Transduction - Primordial Polarity
Kyle Hinton
Version 0.2 - September 2026 - Research discussion edition
RESEARCH STATUS: EXPLORATORY / NOT PEER REVIEWED
The purpose is to expose mechanisms, calculations, failure cases and testable questions to outside
criticism - not to claim confirmation of the wider hypotheses.
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Public Research Release - Hinton 2026
Abstract
This release presents three connected but separable exploratory research programmes developed from
pattern-based conceptual hypotheses and then subjected to mathematical, computational and literature-
based stress testing. The Scale Recursion Hypothesis (SRH) asks whether systems separated by radical
differences in absolute scale can share dimensionless dynamical architecture, and whether the causal
description of a system can simplify when observations are made over longer temporal horizons. The
Sirius Transducer Hypothesis (STH) asks whether the physically asymmetric Sirius A/B system could be
studied as a differentiated filtering or balancing node embedded within a wider magnetised interstellar
transport network. The Doctrine of Primordial Polarity proposes a broader structural research question:
whether complementary differentiation can operate recursively as a generative relation from which
movement, oscillation, information and new structure become possible. None of these programmes is
presented as empirically confirmed. Constructed numerical experiments demonstrate scale removal,
causal compression and temporal-horizon effects; other tests produced negative results and exposed
measurement artefacts, which were retained and used to modify the models. The Sirius programme is
anchored to established properties of Sirius A/B, Galactic magnetic fields and magnetohydrodynamic
propagation, while its proposed system-level transducer function remains speculative. The purpose of
this release is to make the questions precise enough for specialists to criticise, falsify, formalise or test
independently. Within STH, the Organic Lead Principle now defines the earlier "string" analogy as an
emergent, self-organising transmission relationship inside a magnetised medium rather than a literal
cable. It adds explicit tests for field alignment, frequency selectivity, damping length, propagation delay,
reciprocity and comparison with null models.
Core standard
Intuition is allowed to generate the question aggressively. Evidence is required to decide what
survives.
Author statement
I am an independent author and conceptual researcher. These ideas typically begin as intuitive pattern
recognition rather than literature-first derivations. During exploration I may state a proposed
mechanism strongly because that is how I generate the next question. In this programme, however, a
strong intuitive statement is not treated as evidence. Numerical values proposed spontaneously are
treated as placeholders until independently sourced or calculated. Negative results are retained. If a
mechanism fails, the failure is used to redirect the investigation rather than hidden or explained away.
I am not asking researchers to endorse the wider cosmology. I am asking whether any of the narrower
mathematical, astrophysical or systems questions are sufficiently coherent to deserve independent
analysis. Correction and falsification are welcome outcomes.
Research snapshot
Programme
Question
Scale Recursion Hypothesis
Can causal/dynamical
architecture recur across
scale, and can temporal
What exists now
Formal nondimensional
framework; synthetic
universality tests;
Immediate bottleneck
Apply the measures to real
multiscale data and define
non-arbitrary invariants.
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Programme
Sirius Transducer Hypothesis
Primordial Polarity
Organic Lead Principle
(STH sub-hypothesis)
Question
horizon change the
appropriate macro-
description?
Could an asymmetric A/white-
dwarf binary behave as
differentiated response
channels inside a magnetised
transport network?
Can complementary
differentiation be defined as a
recurring operation without
forcing arbitrary binaries?
Can preferred field/plasma
pathways behave as self-
organising transmission
relationships between
celestial environments?
What exists now
information/coarse-graining
experiments; multi-horizon
causal-state result.
Established A/B asymmetry;
before/after spectral
calculations; magnetic
exclusion proxy;
frequency/balance model.
Standalone doctrine;
recursive operator concept;
falsifiability criteria; links to
symmetry-breaking and
polarity traditions.
Operational definitions for
string/lead/solarnoid;
propagation equation; first
prediction and falsification
register.
Immediate bottleneck
Determine whether
interstellar MHD disturbances
retain coherent measurable
structure and can couple to
Sirius.
Define a domain-independent
measure that outperforms
null or multidimensional
models.
Identify a physically viable
carrier whose damping
length, delay and coupling
survive quantitative
constraints.
What has actually been done
The computational programme was designed to produce both supportive and failure results. The main
completed tests are:
•
•
•
•
•
•
Constructed two radically different raw-scale systems governed by the same dimensionless
transition law; after nondimensionalisation the normalised trajectories correlated at approximately
0.997, while a different-law control did not.
Ran a blind synthetic universality-class test. Eleven of twelve systems were assigned to the correct
hidden dynamical family after scale removal (91.7% accuracy).
Tested information survival through stochastic propagation and coarse-graining. Non-trivial
information survived, but the result rejected the early assumption that criticality necessarily
maximises every information metric.
Built a causal-compression toy model in which a meaningful 4-state macro description preserved the
same absolute effective information as a 16-state micro description while doubling normalised
effectiveness. The natural grouping beat 2,000 random balanced partitions.
Attempted blind causal-state discovery in a branching model. Causally informed groupings beat
random partitions, but one-step compression failed to retain enough absolute effective information
for strong emergence. A weighting artefact that initially suggested information gain was corrected
and discarded.
Repeated causal-state discovery over longer future horizons. The required state count collapsed
sharply with temporal horizon, motivating the idea that causal scale can depend on how far into the
future a system is being described.
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SRH toy model: longer horizon reveals stronger causal compression
27
26
22
23
22
20
21
22
23
Future horizon (steps)
24
Figure 1. Constructed SRH model. At the selected toy-model setting, the smallest causal-state description retaining at least
75% effective information becomes much smaller over longer future horizons.
Future horizon (steps)
1
2
4
8
Smallest state count at >=75% ΕΙ
El retained at chosen scale
125
84.8%
64
75.7%
31
79.0%
4
83.2%
4
89.8%
16
Interpretation boundary
This is a constructed dynamical-system result. It demonstrates a method and a temporal-horizon
effect; it is not evidence that the observable universe is literally embedded in a higher-order mind.
Sirius Transducer Hypothesis - current form
The current STH no longer proposes literal strings or direct magnetic forcing of Sirius A by Sirius B. The
working object is a magnetised transport network: a time-dependent interstellar plasma and field
environment capable of carrying, filtering and damping disturbances. At Sirius, physically different
response channels could interact with the same incoming disturbance differently. B is the observed
white dwarf. C remains a mathematical complementary channel unless a physical counterpart is
independently demonstrated.
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Sirius Transducer Hypothesis - current mechanism
MAGNETISED
TRANSPORT NETW
B/C
DIFFERENTIAL RESPONSE BALANCE
CELESTIAL
ENVIRONMENTS
SIRIUS A
INTEGRATION / OUTPUT
Speculative system-level link; component physics and Galactic plasma processes are independently real.
Figure 2. Current conceptual mechanism. The system-level transduction and balancing arrows are hypotheses; the
component objects and general plasma/magnetic processes are established.
A compact working form is:
X_S(omega,t) = T_P(omega,x,t) X_source(omega,t)
U(omega,t) = q_B(omega) r_B(t) + q_C(omega) r_C(t)
The proposed information-bearing variables are therefore frequency response, phase, amplitude,
geometry and the resultant balance - not a simple B-to-A magnetic force.
Physical anchors and exclusions
Anchor
Sirius A/B asymmetry
Historical modification
Spectral differentiation
Magnetic constraint
Exclusion test
Research relevance
A is a normal A-type star; B is a hot compact white dwarf. They
occupy radically different physical response regimes.
B descended from a much more massive progenitor, lost
several solar masses, and changed the binary mass hierarchy
and orbital architecture.
A dominates broad/visible luminosity, while hot B is
disproportionately important at short wavelengths and is the
brighter soft-X-ray source.
A has a weak detected large-scale field. B has no detected
strong field; published spectroscopy constrains it below
roughly 100 kG.
A simple B R^3 scale proxy rejects the naive claim that B must
directly dominate A magnetically merely because B is dense.
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Anchor
Galactic medium
Research relevance
Coherent/turbulent Galactic magnetic fields and MHD waves
exist, but damping and coherence depend strongly on plasma
conditions.
Present Sirius A/B output differs strongly by wavelength
Band luminosity (Lsun, log scale)
101
10°
10-1
10-2
10-3
Sirius A
Sirius B
lonizing <91.2 nm
UV 91.2-200 nm
UV 200-400 nm
Visible 400-700 nm
Figure 3. Ideal-blackbody calculation using measured present temperatures and luminosities. Exact high-energy fractions
are illustrative because real stellar atmospheres are not perfect blackbodies.
Main STH bottleneck
Can an interstellar MHD/plasma disturbance preserve enough coherent structure over a relevant
path to make differential response at Sirius physically measurable? If not, the proposed network
mechanism fails in its current form.
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Organic Lead Principle - transport architecture
The earlier "string" language is retained only as a conceptual label. In this version, a string is not a wire
or permanent object. It is a proposed preferred transmission relationship that emerges from field
geometry, plasma state, motion and coupling inside the magnetised interstellar medium. "Organic"
means self-organising within the physical system, not biological tissue. "Solarnoid" is a non-standard
working term for a celestial system treated as a local field-generating or field-modulating node.
Working architecture:
CELESTIAL FIELD NODE -> EMERGENT PATHWAY ("STRING / LEAD") -> MAGNETISED TRANSPORT
NETWORK -> DIFFERENTIAL RESPONSE / BALANCE -> OUTPUT -> ENVIRONMENT
A pathway P is represented by a time- and frequency-dependent transfer function: T_P(omega, x, t). The
transmitted disturbance is X_out(omega,t) = T_P(omega,x,t) X_in(omega,t). This makes attenuation, phase
shift, dispersion and loss of coherence part of the hypothesis rather than exceptions to it.
Critical carrier test
The carrier cannot be chosen after the result is known. If ordinary MHD/Alfvenic propagation is
proposed, its measured or modelled damping length and propagation speed must be sufficient for the
path being claimed. Published work on partially ionised interstellar media shows that ion-neutral
collisions can strongly damp MHD waves, in some diffuse-ionised conditions within less than a parsec.
Sirius is about 2.64 pc from the Sun. That does not rule out every possible plasma/field coupling
mechanism, but it makes a simple long-range coherent MHD "lead" a genuine quantitative bottleneck.
Falsifiable prediction register
ID / prediction
OLP-1 Field alignment
OLP-2 Frequency selectivity
OLP-3 Survival length
OLP-4 Propagation delay
OLP-5 Geometry / balance
Expected signature
Transmission or correlation
strength should depend on
orientation relative to the
local magnetic field.
A real pathway should have a
non-flat transfer function
T_P(omega), with frequency-
dependent attenuation and
phase.
The proposed carrier must
preserve measurable
structure over the full source-
receiver path.
A transported disturbance
must arrive after a delay
consistent with the carrier
speed.
If "centre of balance" is
physical, a preregistered
geometry variable should
predict lower distortion /
higher coherence.
Test
Predefine an alignment
metric such as | b-hat. r-hat |
and compare candidate-path
observables with off-axis
controls.
MHD/plasma simulation or
observation across a defined
band; estimate gain, phase
and coherence.
Compare damping/coherence
length with path length in the
relevant ISM phase.
Predict lag from distance and
physically modelled speed
before searching for
correlations.
Define balance B and clarity
C before analysis; test against
shuffled geometry and non-
polar null models.
Failure condition
No reproducible anisotropy
after known selection effects
are removed.
Arbitrary frequencies fit
equally well, or the proposed
bands are chosen only after
inspection.
Damping length is
substantially shorter than the
required path and no
alternative carrier was
specified in advance.
Only zero-lag or physically
impossible-lag correlations
appear.
Clarity improves only under
retrospectively chosen
geometry or does not beat
null models.
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ID / prediction
OLP-6 Class prediction
OLP-7 Reciprocity
OLP-8 Biological extension -
later stage
Expected signature
If Sirius exemplifies a
mechanism rather than a
unique story, related
asymmetric binaries should
show ordered differences tied
to system parameters.
A reciprocal network must
conserve energy/momentum
and predict some back-
reaction on the medium.
Any awareness/plant/animal
claim must track a
measurable physical clarity
variable, not Sirius position
alone.
Test
Compare Sirius-like binaries
using the same response
metrics.
Quantify energy flux and
expected environmental
perturbation.
Preregister blinded multi-
species observations with
solar, geomagnetic, seasonal,
behavioural and expectation
controls.
Failure condition
No class-level scaling; Sirius
requires unique free
parameters to fit.
Required feedback exceeds
available energy or violates
conservation constraints.
No effect after controls, or
only subjective/retrospective
pattern matching remains.
The strongest immediate test is OLP-3. If no physically plausible carrier can retain relevant structure across the required
distance, the "lead" mechanism fails in its current form even if the broader magnetised-network metaphor remains useful.
Primordial Polarity - research proposition
The universe does not merely contain polarity as one of its features. Polarity
may be the repeating operation by which differentiation, vibration and
structure become possible at every scale.
Primordial Polarity: proposed recursive generative operation
UNITY
POLARITY
CONTRAST
MOVEMENT
OSCILLATION
VIBRATION
INFORMATION
STRUCTURE
NEW POLARITY
recursive return: resulting structure becomes the next field for complementary differentiation
Figure 4. Proposed recursive architecture. This is a conceptual research operator, not an established universal physical
law.
The distinctive claim is not that opposites exist. That is ancient and widespread. The proposed research
move is to treat complementary differentiation as an operation that may recur: a whole develops
distinguishable relational modes; relationship permits relative change; organised change can become
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oscillation and vibration; structured variation can carry information; resulting structures may
themselves host new complementary degrees of freedom.
A scientific version must survive three controls:
•
•
•
Binary-forcing control: the apparent polarity must not disappear when the same data are modelled
continuously or with more than two dimensions.
Predictive-gain control: a polarity-based decomposition must improve explanation or prediction
relative to a suitable null model.
Unit/selection control: numerical recurrences are not evidence unless they are unit-invariant,
independently fixed, or statistically non-trivial.
Claims register
Level
Established
Calculated from established inputs
Methodological result
Hypothesis
Structural hypothesis
Strongest metaphysical form
Hypothesis extension
Statement
Sirius A/B are a highly asymmetric binary; B is a white dwarf;
A has a weak detected field; Galactic magnetic fields and MHD
waves exist.
Blackbody band comparison, B R^3 exclusion proxy, and
synthetic SRH experiments.
Dynamical architecture can be compared after scale removal;
causal grouping and temporal-horizon compression can be
tested against controls.
Sirius may act as a frequency-dependent
balancing/transduction node in a magnetised transport
network.
Complementary differentiation may recur as a generative
operation across organisational scales.
The observable universe could be an internal process within a
higher-order state. No empirical confirmation is claimed.
"Strings" are emergent preferred transport relationships
("organic leads"), not literal objects; their viability depends
on measurable anisotropy, transfer function, damping
length and propagation delay.
Invitation to researchers
The most useful response to this release would not be agreement. It would be a technically specific
answer to one of the questions below.
Field
Plasma astrophysics
Specific question
What coherence lengths, damping rates and frequency
windows are physically plausible for information-bearing
MHD disturbances in the local/interstellar medium?
Stellar physics
Could external plasma or field disturbances produce
measurable phase-, polarisation- or wavelength-dependent
observables in an A-type + white-dwarf binary?
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Field
Dynamical systems / information theory
Mathematics
Observational astronomy
Heliophysics / local ISM
Specific question
What is the best formal definition of causal scale when the
preferred state description changes with predictive
horizon?
Can a non-trivial polarity operator be defined that
discovers complementary response modes rather than
imposing a binary split?
Which archival Sirius time series could test correlations
among orbital phase, polarisation, UV/X-ray output and
local environmental conditions?
Can present local-field geometry, plasma phase structure
and damping rates support any path with a coherence
length comparable to the Sun-Sirius separation, or does
ion-neutral damping eliminate that carrier?
Collaboration principle
A researcher does not need to accept the wider cosmology to test any one of these narrower
questions. Partial rejection is as useful as partial support.
Researcher-facing cover note
Suggested subject: Exploratory research note - causal scale, Sirius filtering, and recursive polarity
Dear Dr [Name],
I am sharing a short exploratory research release containing three separable programmes: a
computational study of causal description across scale and temporal horizon; a speculative Sirius
A/B filtering and balancing mechanism embedded in a magnetised interstellar transport
network; and a structural hypothesis treating polarity as a recursively generative relation.
I am not asking you to endorse the wider framework. I would value criticism of the part closest
to your field. In particular: [insert one specific question from the collaboration table].
The package explicitly separates established inputs, constructed calculations, hypotheses,
negative results and current failure conditions. If the proposed mechanism is physically
impossible, a clear explanation of where it fails would be genuinely useful. If part of it is testable,
I would be grateful for guidance on the appropriate formalism, data or literature.
Kind regards,
Kyle Hinton
Working data available with the research programme
- SRH_multihorizon_causal_states.csv - Multi-horizon causal-state calculations.
- SRH_multihorizon_preferred_scales.csv - Retention-threshold state counts by horizon.
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- SRH_blind_universality_assignments.csv - Blind synthetic universality-class assignments.
- SRH_causal_emergence_summary.csv - Constructed causal-compression summary.
- Sirius_before_after_spectral_energy.csv - Before/after spectral-energy comparison and blackbody estimates.
- Sirius_present_band_contributions.csv - Present A/B wavelength-band contribution calculation.
- Sirius_AB_magnetic_response_proxies.csv - Simple magnetic-scale exclusion calculation.
- Sirius_126Myr_toy_galactic_reconstruction.csv - Illustrative, non-precision Galactic trajectory toy calculation.
Selected scientific references and intellectual neighbours
[1] Hoel EP, Albantakis L, Tononi G. Quantifying causal emergence shows that macro can beat micro. PNAS 110 (2013). DOI
10.1073/pnas.1314922110. Link
[2] Khoury J, Wong SSC. Directed percolation criticality in eternal inflation. Physical Review D 108, 103541 (2023). Link
[3] Bond HE et al. The Sirius System and its Astrophysical Puzzles: Hubble Space Telescope and Ground-Based Astrometry (2017).
Link
[4] Petit P et al. Detection of a weak surface magnetic field on Sirius A. Astronomy & Astrophysics 532, L13 (2011). Link
[5] Bagnulo S, Landstreet JD. New insight into the magnetism of degenerate stars from a volume-limited sample of white dwarfs.
MNRAS 507 (2021). Link
[6] Han JL. Observing Interstellar and Intergalactic Magnetic Fields. Annual Review of Astronomy and Astrophysics 55 (2017). Link
[7] Recchia S et al. Grammage of cosmic rays in the proximity of supernova remnants embedded in a partially ionized medium.
Astronomy & Astrophysics (2022). Link
[8] NASA. In Solar System's Symphony, Earth's Magnetic Field Drops the Beat. Overview of magnetosonic and Alfvén-wave
behaviour. Link
[9] Stanford Encyclopedia of Philosophy. Metaphysics in Chinese Philosophy. Link
[10] CERN. What's so special about the Higgs boson? Overview of spontaneous symmetry breaking in the Higgs mechanism. Link
[11] Zirnstein EJ et al. Local Interstellar Magnetic Field Determined From the Interstellar Boundary Explorer Ribbon.
Astrophysical Journal Letters 818, L18 (2016). DOI 10.3847/2041-8205/818/1/L18.
[12] Spangler SR, Savage AH, Redfield S. Ion-Neutral Collisions in the Interstellar Medium: Wave Damping and Elimination
of Collisionless Processes (2010/2011 proceedings literature). Demonstrates strong ion-neutral damping constraints in
partially ionised ISM conditions.
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