Revised reading edition
The Possibility for a Machine-Native Mathematics
25 pages · Editable sources and HTML reading version available.
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Browse all works and their evidence · Worked examples
180 PDFs
Revised reading edition
25 pages · Editable sources and HTML reading version available.
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Komorebi_ABC_Conjecture_Piece_v1.0.pdf · 0.5 MB
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Komorebi_ABC_Visual_Guide_v1.0.pdf · 0.5 MB
Lean guide (PDF)
AVOC_Lean_Companion_Final.pdf · 0.4 MB
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AVOC_Traditional_Final.pdf · 0.4 MB
Visual guide (PDF)
AVOC_Visual_Guide_Final.pdf · 0.6 MB
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Agent_Dynamics_Python_Visual_Atlas.pdf · 0.1 MB
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Komorebi_Beal_Conjecture_Piece_v1.0.pdf · 0.4 MB
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Komorebi_Beal_Visual_Guide_v1.0.pdf · 0.5 MB
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K_COS_Monograph.pdf · 1.7 MB
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Komorebi_Catalan_Constant_Conjecture_Piece_v1.0.pdf · 0.7 MB
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Komorebi_Catalan_Constant_Visual_Guide_v1.0.pdf · 0.7 MB
Lean guide (PDF)
Certified_Bayesian_Lean_Companion_Final.pdf · 0.3 MB
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Certified_Bayesian_Traditional_Final.pdf · 0.4 MB
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Certified_Bayesian_Visual_Guide_Final.pdf · 0.6 MB
Komorebi Collatz Conjecture Piece v1.1 (PDF)
Komorebi_Collatz_Conjecture_Piece_v1.1.pdf · 0.3 MB
Komorebi Riemann Conjecture Piece v1.1 (PDF)
Komorebi_Riemann_Conjecture_Piece_v1.1.pdf · 0.3 MB
Visual guide (PDF)
Komorebi_Collatz_Visual_Guide_v1.1.pdf · 0.5 MB
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Constructive_Repair.pdf · 0.7 MB
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Komorebi_Gaussian_Elimination_Collected_Pages.pdf · 1.3 MB
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Grounded_Abstraction_v1.0.0.pdf · 0.5 MB
Lean guide (PDF)
H12_Cubic_Divisor_Lean_Guide.pdf · 0.2 MB
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H12_Cubic_Divisor_Traditional.pdf · 0.6 MB
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H12_Cubic_Divisor_Visual_Guide.pdf · 0.4 MB
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Komorebi_Hodge_Conjecture_Piece_v1.0.pdf · 0.8 MB
Visual guide (PDF)
Komorebi_Hodge_Visual_Guide_v1.0.pdf · 0.6 MB
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Hypergraph_Lumpability_Bayesian_Refinement.pdf · 0.7 MB
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Komorebi_Inverse_Galois_Conjecture_Piece_v1.0.pdf · 0.7 MB
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Komorebi_Inverse_Galois_Visual_Guide_v1.0.pdf · 0.7 MB
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Komorebi_Methodology.pdf · 0.3 MB
Lean guide (PDF)
Komorebi_Space_Lean_Guide.pdf · 0.3 MB
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Komorebi_Space.pdf · 1.1 MB
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Komorebi_Space_Visual_Guide.pdf · 2.9 MB
Worked-proofs supplement (PDF)
Komorebi_Space_Worked_Proofs.pdf · 1.2 MB
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Realization_Calculus_Large_Signal_Model.pdf · 1.4 MB
Visual guide (PDF)
Realization_Calculus_Large_Signal_Model_Theoretical_Atlas.pdf · 0.3 MB
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Projector_Resolved_Large_Algebraic_Signal_Model.pdf · 1.1 MB
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Komorebi_Lehmer_Conjecture_Piece_v1.0.pdf · 0.7 MB
Visual guide (PDF)
Komorebi_Lehmer_Visual_Guide_v1.0.pdf · 0.6 MB
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Machine_Native_Reasoning_Reviewed_Core.pdf · 0.3 MB
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Machine_Native_Reasoning_Reviewed_Continuation.pdf · 0.6 MB
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Machine_Societies_v1.0.0.pdf · 0.8 MB
Lean guide (PDF)
AVOC_Lean_Companion_Final.pdf · 0.5 MB
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Komorebi_Machine_Theory_Compendium_v1.0.0.pdf · 20.3 MB
Visual guide (PDF)
Self_Improving_Intelligence_Visual_Guide_v1.0.0.pdf · 0.2 MB
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Reviewed_Core_v0.2.pdf · 0.4 MB
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Machine_Understanding_v1.0.0.pdf · 0.5 MB
Neuralese Final Research Edition (PDF)
Neuralese_Final_Research_Edition.pdf · 0.3 MB
OSL Final Research Edition (PDF)
OSL_Final_Research_Edition.pdf · 0.3 MB
Neuralese Final Research Edition v1.0 (PDF)
Neuralese_Final_Research_Edition_v1.0.pdf · 0.2 MB
OSL Final Research Edition v1.0 (PDF)
OSL_Final_Research_Edition_v1.0.pdf · 0.3 MB
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Komorebi_PRISM_1_Final_Updated.pdf · 1.1 MB
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PRISM-1R_Implementation_Deployment_Blueprint_v0.2.pdf · 0.7 MB
Lean guide (PDF)
Paper_I_Lean_Guide_Final.pdf · 0.2 MB
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Paper_I_Traditional_Final.pdf · 0.7 MB
Lean guide (PDF)
Paper_II_Lean_Guide_Final.pdf · 0.2 MB
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Paper_II_Traditional_Final.pdf · 0.6 MB
Visual guide (PDF)
Paper_II_Visual_Guide_Final.pdf · 0.2 MB
Lean guide (PDF)
Paper_III_Lean_Guide_v1.0.0.pdf · 0.2 MB
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Paper_III_Final_v1.0.0.pdf · 0.6 MB
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Paper_III_Visual_Guide_v1.0.0.pdf · 0.2 MB
Lean guide (PDF)
Paper_IV_Lean_Guide_Final.pdf · 0.6 MB
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Paper_IV_Traditional_Final.pdf · 0.6 MB
Visual guide (PDF)
Paper_IV_Visual_Guide_Final.pdf · 0.3 MB
Visual guide (PDF)
Paper_IV_Visual_Guide_Reconstructed.pdf · 0.2 MB
Lean guide (PDF)
Paper_IX_Euler_Lean_Guide_Final.pdf · 0.4 MB
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Paper_IX_Euler_Main_Final.pdf · 1.4 MB
Visual guide (PDF)
Paper_IX_Euler_Visual_Guide_Final.pdf · 0.5 MB
address_two_envelope.pdf
address_two_envelope.pdf · 0.0 MB
analytic_slopes.pdf
analytic_slopes.pdf · 0.0 MB
final_exponents.pdf
final_exponents.pdf · 0.0 MB
isometry_matrices.pdf
isometry_matrices.pdf · 0.0 MB
metric.pdf
metric.pdf · 0.0 MB
mixed_cancellation.pdf
mixed_cancellation.pdf · 0.0 MB
mixed_stencil.pdf
mixed_stencil.pdf · 0.0 MB
newton_cutoff.pdf
newton_cutoff.pdf · 0.0 MB
normalization.pdf
normalization.pdf · 0.0 MB
normalization_loss.pdf
normalization_loss.pdf · 0.0 MB
odd_prime_sign.pdf
odd_prime_sign.pdf · 0.0 MB
periods.pdf
periods.pdf · 0.0 MB
rank_scales.pdf
rank_scales.pdf · 0.0 MB
reciprocal_rows.pdf
reciprocal_rows.pdf · 0.0 MB
residue_permutations.pdf
residue_permutations.pdf · 0.0 MB
shared_obstruction.pdf
shared_obstruction.pdf · 0.0 MB
singular_block.pdf
singular_block.pdf · 0.0 MB
smooth_tower.pdf
smooth_tower.pdf · 0.0 MB
threshold.pdf
threshold.pdf · 0.0 MB
weighted_motion.pdf
weighted_motion.pdf · 0.0 MB
Lean guide (PDF)
Paper_V_Lean_Guide_Final.pdf · 0.2 MB
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Paper_V_Traditional_Final.pdf · 1.9 MB
Visual guide (PDF)
Paper_V_Visual_Guide_Final.pdf · 0.3 MB
annals_gibbs_comparison.pdf
annals_gibbs_comparison.pdf · 0.0 MB
Lean guide (PDF)
Paper_VI_Lean_Guide_Final.pdf · 0.2 MB
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Paper_VI_Traditional_Final.pdf · 1.1 MB
Visual guide (PDF)
Paper_VI_Visual_Guide_Final.pdf · 0.3 MB
Lean guide (PDF)
Paper_VII_Lean_Guide_Final.pdf · 0.3 MB
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Paper_VII_Traditional_Final.pdf · 1.1 MB
Visual guide (PDF)
Paper_VII_Visual_Guide_Final.pdf · 0.2 MB
Lean guide (PDF)
Paper_VIII_Lean_Guide_Final.pdf · 0.3 MB
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Paper_VIII_Traditional_Final.pdf · 0.8 MB
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Paper_VIII_Visual_Guide_Final.pdf · 0.2 MB
Lean guide (PDF)
Paper_X_Lean_Guide_Final.pdf · 0.2 MB
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Paper_X_Traditional_Final.pdf · 1.0 MB
Visual guide (PDF)
Paper_X_Visual_Guide_Final.pdf · 0.3 MB
01_three_objects.pdf
01_three_objects.pdf · 0.0 MB
02_monodromy.pdf
02_monodromy.pdf · 0.0 MB
03_tame_orbit.pdf
03_tame_orbit.pdf · 0.0 MB
04_orbit_counts.pdf
04_orbit_counts.pdf · 0.0 MB
05_tensor_grid.pdf
05_tensor_grid.pdf · 0.0 MB
06_cycle_scalar.pdf
06_cycle_scalar.pdf · 0.0 MB
07_heisenberg.pdf
07_heisenberg.pdf · 0.0 MB
08_radical.pdf
08_radical.pdf · 0.0 MB
09_bridge.pdf
09_bridge.pdf · 0.0 MB
10_quadratic_planes.pdf
10_quadratic_planes.pdf · 0.0 MB
11_arf_counts.pdf
11_arf_counts.pdf · 0.0 MB
12_holonomy.pdf
12_holonomy.pdf · 0.0 MB
13_break_tensor.pdf
13_break_tensor.pdf · 0.0 MB
14_recursive_parameter.pdf
14_recursive_parameter.pdf · 0.0 MB
15_degree_levels.pdf
15_degree_levels.pdf · 0.0 MB
16_scalar_depth.pdf
16_scalar_depth.pdf · 0.0 MB
17_native_ambient_trace.pdf
17_native_ambient_trace.pdf · 0.0 MB
18_capacity.pdf
18_capacity.pdf · 0.0 MB
19_enlarged_carrier.pdf
19_enlarged_carrier.pdf · 0.0 MB
20_induction_stages.pdf
20_induction_stages.pdf · 0.0 MB
21_marked_extension.pdf
21_marked_extension.pdf · 0.0 MB
22_completion.pdf
22_completion.pdf · 0.0 MB
23_conjecture_boundary.pdf
23_conjecture_boundary.pdf · 0.0 MB
Conjecture 66 progress paper (PDF)
Paper_XI_Conjecture66_Progress_v0.4.0.pdf · 0.7 MB
Conjecture 66 visual atlas (PDF)
Paper_XI_Conjecture66_Visual_Atlas_v0.5.0.pdf · 0.7 MB
Lean guide (PDF)
Paper_XI_Lean_Guide_v1.1.0.pdf · 0.8 MB
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Paper_XI_Traditional_v1.1.0.pdf · 0.9 MB
Visual guide (PDF)
Paper_XI_Visual_Guide_v1.1.0.pdf · 0.6 MB
Lean guide (PDF)
Paper_XII_Lean_Guide_v1.0.0.pdf · 0.2 MB
Read PDF
Paper_XII_Traditional_v1.0.0.pdf · 0.6 MB
Visual guide (PDF)
Paper_XII_Visual_Guide_v1.0.0.pdf · 0.4 MB
Lean guide (PDF)
Physics_Lean_Companion.pdf · 0.1 MB
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Komorebi_Physics.pdf · 14.7 MB
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Komorebi_Physics_Curvature_States_and_Subtraction.pdf · 0.3 MB
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Energy_Conserving_Production.pdf · 0.3 MB
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Origin_Locking_and_Cosmological_Energy_Exchange.pdf · 0.3 MB
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Proof_Path_Theory.pdf · 1.2 MB
Visual guide (PDF)
Proof_Path_Theory_Visual_Sampler.pdf · 0.5 MB
Lean guide (PDF)
Komorebi_Quantum_Arithmetic_Lean_Guide.pdf · 0.1 MB
Read PDF
Realization_Calculus_Quantum_and_Circuits.pdf · 2.6 MB
Visual guide (PDF)
Komorebi_Quantum_Arithmetic_Visual_Guide.pdf · 0.4 MB
Read PDF
Realization_Boundaries_Monograph.pdf · 0.5 MB
Lean guide (PDF)
Paper_I_Lean_Guide_Final.pdf · 0.2 MB
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Realization_Calculus.pdf · 40.3 MB
Visual guide (PDF)
Paper_V_Visual_Guide_Final.pdf · 0.3 MB
Volume I: Komorebi Space (PDF)
Realization_Calculus_Volume_I_Komorebi_Space.pdf · 1.1 MB
Volume II: Realization Boundaries (PDF)
Realization_Calculus_Volume_II_Realization_Boundaries.pdf · 0.5 MB
Worked-proofs supplement (PDF)
Komorebi_Space_Worked_Proofs.pdf · 1.2 MB
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Komorebi_Resolution_Semantics.pdf · 0.3 MB
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SRIC_Block23_Endogenous_Semantic_Witness.pdf · 0.6 MB
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SRIC_Block24_External_LRM_Causal_Semantic_Admission_Protocol_v0.3.0.pdf · 0.1 MB
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Komorebi_Seeded_Two_Axis_Calculus_v0.11.0.pdf · 0.9 MB
Read PDF
Self_Improving_Intelligence_v1.0.0.pdf · 0.6 MB
Visual guide (PDF)
Self_Improving_Intelligence_Visual_Guide_v1.0.0.pdf · 0.2 MB
Lean guide (PDF)
Signal_Reconstruction_Lean_Guide.pdf · 0.3 MB
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Signal_Reconstruction_Traditional.pdf · 0.3 MB
Visual guide (PDF)
Signal_Reconstruction_Visual_Guide.pdf · 0.6 MB
Earlier visual guide (historical PDF)
visual_guide.pdf · 2.1 MB
Expanded Visual Guide (current PDF)
Expanded_Visual_Guide.pdf · 3.4 MB
Original Series Collected Reader (PDF)
Komorebi_Special_Functions_Complete_Reader_v0.1.pdf · 12.9 MB
Packet Realization Core and correction register (PDF)
Komorebi_Special_Functions_Consolidated_Manuscript_v0.1.pdf · 0.7 MB
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Special_Functions.pdf · 2.9 MB
Resolution and Coupled Atlas (current PDF)
Resolution_and_Coupled_Atlas.pdf · 2.0 MB
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Stratified_Recursive_Improvement_Closure_v2.4_Block23.pdf · 3.6 MB
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Stratified_Relational_Workspace_Theory.pdf · 1.1 MB
Lean guide (PDF)
Stratified_Universality_Lean_Guide.pdf · 0.2 MB
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Stratified_Universality_Traditional.pdf · 2.5 MB
Visual guide (PDF)
Stratified_Universality_Visual_Guide.pdf · 0.4 MB
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FINAL_MANUSCRIPT.pdf · 3.8 MB
Read PDF
Komorebi_Strong_Artin_Conjecture_Piece_v1.0.pdf · 0.4 MB
Visual guide (PDF)
Komorebi_Strong_Artin_Visual_Guide_v1.0.pdf · 0.5 MB
Lean guide (PDF)
Sufficient_Resolution_Lean_Guide.pdf · 0.3 MB
Read PDF
Sufficient_Resolution_Traditional.pdf · 0.4 MB
Visual guide (PDF)
Sufficient_Resolution_Visual_Guide.pdf · 0.5 MB
Original PDF
The_Possibility_for_a_Machine_Native_Mathematics_v10.pdf · 0.4 MB
Read PDF
Universal_Generative_Deformation_Calculus.pdf · 0.8 MB