Main Page - Revision history

PMA Publisher: Published from the Principia Machina source

2026-10-15T19:35:55Z

Published from the Principia Machina source

← Older revision		Revision as of 19:35, 15 October 2026
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	<div style="display: flex; flex-wrap: wrap; gap: 0 1em; align-items: flex-start;">		<div style="display: flex; flex-wrap: wrap; gap: 0 1em; align-items: flex-start;">
	<div style="flex: 1 1 220px; min-width: 0;">		<div style="flex: 1 1 220px; min-width: 0;">
	* '''Done:''' Lean 4.34.1 pinned on every machine; a first library with three proved theorems, the Calculator and its tests; the proof and names gates; one task carried from one machine to another; publishing to this wiki under the Declarer's one-time code.		* '''Done:''' Lean 4.35.0 pinned on every machine; a first library with three proved theorems, the Calculator and its tests; the proof and names gates; one task carried from one machine to another; publishing to this wiki under the Declarer's one-time code.
	* '''Open:''' the second development machine; steering a session from a phone or tablet.		* '''Open:''' the second development machine; steering a session from a phone or tablet.
	* '''Next:''' Test T1 has run: a Lean program runs on the wiki's own server outside a web request, so one Calculator still serves both sides. Tests T2 and T3 follow on the same server: the time one call takes, and what a hundred calls in one scheduled run cost.		* '''Next:''' Test T1 has run: a Lean program runs on the wiki's own server outside a web request, so one Calculator still serves both sides. Tests T2 and T3 follow on the same server: the time one call takes, and what a hundred calls in one scheduled run cost.
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	P0 [label="Phase 0 The development setup\nunder way: the current focus", fillcolor="#cedff2", color="#6a8fbf", penwidth=2.4];		P0 [label="Phase 0 The development setup\nunder way: the current focus", fillcolor="#cedff2", color="#6a8fbf", penwidth=2.4];
	P1 [label="Phase 1 Foundations\nunder way", fillcolor="#cedff2", color="#6a8fbf"];		P1 [label="Phase 1 Foundations\nunder way", fillcolor="#cedff2", color="#6a8fbf"];
	P2 [label="Phase 2 The Calculator\~~nnot started~~"];		P2 [label="Phase 2 The Calculator\nunder way", fillcolor="#cedff2", color="#6a8fbf"];
	P3 [label="Phase 3 Custos\nnot started"];		P3 [label="Phase 3 Custos\nnot started"];
	P4 [label="Phase 4 The Research Client\nnot started"];		P4 [label="Phase 4 The Research Client\nnot started"];
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	</div>		</div>
	<!-- pma:begin lean-edition -->		<!-- pma:begin lean-edition -->
			<!-- Blue Box -->
			<div id="mp-lean-edition-box" style="border: 1px solid #a2a9b1; margin-bottom: 15px; background: #ffffff;">
			<h2 id="mp-lean-edition-h2" style="margin: 0; padding: 8px 10px; background-color: #cedff2; border-bottom: 1px solid #a2a9b1; font-size: 1.2em; font-weight: bold;">Lean theorem prover</h2>
			<div id="mp-lean-edition" style="padding: 10px;">
			'''Lean''' is a proof assistant and a programming language. A person writes definitions, statements and proofs in Lean's formal language, and Lean checks each proof against the rules of its logic before it accepts the statement as a theorem. A small part of the program, the Lean kernel, makes that check; everything else only proposes.

			A 71-page reading edition: what Lean checks and how, the type theory behind it, how the program works, where it came from and what it is used for, written for a reader with no logic or programming and for one who wants the rules, with a plain-language counterpart for every technical page.

			* [[Lean theorem prover/Explainers/What a proof assistant does\|What a proof assistant does]] — plain language, the place to start
			* [[Lean theorem prover/Foundations/Terms, types and judgments\|Terms, types and judgments]] — the rules Lean checks against
			* [[Lean theorem prover/Explainers/What has to be trusted\|What has to be trusted]] — what a checked proof still rests on

			'''([[Lean theorem prover\|Full article...]])'''
			</div>
			</div>
	<!-- pma:end lean-edition -->		<!-- pma:end lean-edition -->
	</div>		</div>

Alt BFP at 22:41, 14 October 2026

2026-10-14T22:41:15Z

← Older revision		Revision as of 22:41, 14 October 2026
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	</div>		</div>
	</div>		</div>
			<!-- pma:begin lean-edition -->
			<!-- pma:end lean-edition -->
	</div>		</div>
	</div>		</div>

PMA Publisher: Published from the Principia Machina source

2026-10-14T18:00:43Z

Published from the Principia Machina source

← Older revision		Revision as of 18:00, 14 October 2026
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	[[The Principia Machina]] is being rewritten in '''Lean 4''', a language in which proofs are checked by machine: one source for the specification and its Calculator, theorems where version 1 had only tests, and a proof checker as the gate every change must pass. The move also inspired a restructuring of the development workflow.		[[The Principia Machina]] is being rewritten in '''Lean 4''', a language in which proofs are checked by machine: one source for the specification and its Calculator, theorems where version 1 had only tests, and a proof checker as the gate every change must pass. The move also inspired a restructuring of the development workflow.

	'''Where it stands''' (13 October 2026): Phase 0 of seven, the development setup, is under way. ~~Nothing~~ from version 1 is ~~ported until~~ the ~~setup passes its acceptance list~~.		'''Where it stands''' (14 October 2026): Phase 0 of seven, the development setup, is under way. Phase 0 ports nothing from version 1 beyond one small module used as its test subject; the port itself is the work of Phase 2, the Calculator.
	<div style="display: flex; flex-wrap: wrap; gap: 0 1em; align-items: flex-start;">		<div style="display: flex; flex-wrap: wrap; gap: 0 1em; align-items: flex-start;">
	<div style="flex: 1 1 220px; min-width: 0;">		<div style="flex: 1 1 220px; min-width: 0;">
	* '''Done:''' Lean 4.34.1 pinned on every machine; a first library with three proved theorems, the Calculator and its tests; the proof and names gates; one task carried from one machine to another; publishing to this wiki under the Declarer's one-time code.		* '''Done:''' Lean 4.34.1 pinned on every machine; a first library with three proved theorems, the Calculator and its tests; the proof and names gates; one task carried from one machine to another; publishing to this wiki under the Declarer's one-time code.
	* '''Open:''' the second development machine; steering a session from a phone or tablet.		* '''Open:''' the second development machine; steering a session from a phone or tablet.
	* '''Next:''' ~~Phase 1, opening with~~ a ~~test of whether~~ the wiki's own server ~~can~~ run ~~a Lean program~~.		* '''Next:''' Test T1 has run: a Lean program runs on the wiki's own server outside a web request, so one Calculator still serves both sides. Tests T2 and T3 follow on the same server: the time one call takes, and what a hundred calls in one scheduled run cost.
	</div>		</div>
	<div class="pma-fig" style="flex: 0 1 356px; min-width: 0; margin: 0 auto; text-align: center;">		<div class="pma-fig" style="flex: 0 1 356px; min-width: 0; margin: 0 auto; text-align: center;">
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	edge [color="#54595d", fontname="Helvetica", fontsize=9, fontcolor="#202122", arrowsize=0.7];		edge [color="#54595d", fontname="Helvetica", fontsize=9, fontcolor="#202122", arrowsize=0.7];
	node [width=3.6];		node [width=3.6];
	P0 [label="Phase 0 The development setup\~~nUNDER WAY~~", fillcolor="#~~8fd1b4~~", color="#~~14866d~~", penwidth=1.6];		P0 [label="Phase 0 The development setup\nunder way: the current focus", fillcolor="#cedff2", color="#6a8fbf", penwidth=2.4];
	P1 [label="Phase 1 Foundations\~~nnot started~~"];		P1 [label="Phase 1 Foundations\nunder way", fillcolor="#cedff2", color="#6a8fbf"];
	P2 [label="Phase 2 The Calculator\nnot started"];		P2 [label="Phase 2 The Calculator\nnot started"];
	P3 [label="Phase 3 Custos\nnot started"];		P3 [label="Phase 3 Custos\nnot started"];
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	</div>		</div>
	</div>		</div>
	'''([[Principia Machina/Lean transition\|Full article...]])'''  ·  [[Principia Machina/Lean transition#lt-plate-box\|The two-doors riddle, in Lean]]  ·  Version 1: [[Round 3\|program of record]], [[The Principia Machina/Testing\|testing]]		'''([[Principia Machina/Lean transition\|Full article...]])'''  ·  '''[[Principia Machina/Progress/Status\|Status]]'''  ·  [[Principia Machina/Lean transition#lt-plate-box\|The two-doors riddle, in Lean]]  ·  Version 1: [[Round 3\|program of record]], [[The Principia Machina/Testing\|testing]]
	</div>		</div>
	</div>		</div>

PMA Publisher: Published from the Principia Machina source

2026-10-13T13:29:33Z

Published from the Principia Machina source

← Older revision		Revision as of 13:29, 13 October 2026
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	<!-- pma:begin lean -->		<!-- pma:begin lean -->
	~~<!-- Green Box -->~~
	~~<div id="mp-round-box" style="border: 1px solid #a2a9b1; margin-bottom: 15px; background: #ffffff;">~~
	~~<h2 id="mp-round-h2" style="margin: 0; padding: 8px 10px; background-color: #cef2e0; border-bottom: 1px solid #a2a9b1; font-size: 1.2em; font-weight: bold;">The Current Program (Round 3)</h2>~~
	~~<div id="mp-round" style="padding: 10px;">~~
	~~Round 3 Phase 1: (WIP) Development of '''[[the Principia Machina]]:''' an AI Harness inspired physics solver/research platform implemented in MediaWiki.~~

	''Round 3 Phase 2: (Under way) [[The Principia Machina/Testing\|Testing the Principia Machina]]'' – one phase at a time, by an AI that did not build it. Phases M0 to M3 are accepted (2026-10-05); M4 to M6 are next. Each phase has its own page with the tests and the results:
	# '''[[The Principia Machina/Testing/M0 Outside AI and the sandbox\|M0 An outside AI, from the wiki alone]]''' – an outside AI, given one sentence, sets itself up from the wiki, creates and works a sandbox UWC, and reports every prediction with its outcome. ''Accepted.''
	# '''[[The Principia Machina/Testing/M1 The register duties\|M1 The register's research duties]]''' – strikes, withdrawals, audit blocks, promotion and verification as the specification states them, built into the live server. ''Accepted 2026-10-05, as Step A.''
	# '''[[The Principia Machina/Testing/M2 The calculator from the specification\|M2 The calculator, tested from the specification]]''' – an outside tester writes its own cases from the rule text and runs them against the server's calculator through TPCRUN. ''Accepted 2026-10-05; the tester-written case set is still to be grown.''
	# '''[[The Principia Machina/Testing/M3 TPX, the smallest server\|M3 TPX, the smallest server that does what the sandbox does]]''' – the new-UWC form, the declaration and the landing API on the live wiki, byte-identical with the sandbox; the first UWC, SPR. ''Accepted 2026-10-05.''
	# '''[[The Principia Machina/Testing/M4 PRB, the smallest client\|M4 PRB, the smallest client]]''' – the agent-side client: petition, lock, push, release and a second agent's corroboration, driven end to end from outside. ''Not started; Step B.''
	# '''[[The Principia Machina/Testing/M5 Certification\|M5 Certification]]''' – the six-probe suite on the synthetic UWC and the supervised trial, an outside AI the first candidate; canaries into live work. ''Not started; Step B.''
	# '''[[The Principia Machina/Testing/M6 The first live UWC\|M6 The first live UWC]]''' – a real research container worked by a certified agent, its first ESTABLISHED result reproduced from the public pages alone. ''Not started; Step C.''
	The deploys, the findings and the dated record: [[The Principia Machina/Testing/Step A, the deploys A1 and A2\|Step A]] · [[The Principia Machina/Testing/Findings\|Findings]] · [[The Principia Machina/Testing/Timeline\|Timeline]].

	~~''Round 3 Phase 3: (TBD) Testing Postulates using the Principia Machina''~~

	~~'''([[Round 3\|Program of record...]])'''  ·  [[Round 3/Open items\|Open items]]~~
	~~</div>~~
	~~</div>~~


	<!-- Green Box -->		<!-- Green Box -->
	<div id="mp-lean-box" style="border: 1px solid #a2a9b1; margin-bottom: 15px; background: #ffffff; color: #202122;">		<div id="mp-lean-box" style="border: 1px solid #a2a9b1; margin-bottom: 15px; background: #ffffff; color: #202122;">
	<h2 id="mp-lean-h2" style="margin: 0; padding: 8px 10px; background-color: #cef2e0; border-bottom: 1px solid #a2a9b1; font-size: 1.2em; font-weight: bold;">~~Principia Machina~~: the move to Lean</h2>		<h2 id="mp-lean-h2" style="margin: 0; padding: 8px 10px; background-color: #cef2e0; border-bottom: 1px solid #a2a9b1; font-size: 1.2em; font-weight: bold;">The Current Program (Round 3): the move to Lean</h2>
	<div id="mp-lean" style="padding: 10px;">		<div id="mp-lean" style="padding: 10px;">
	<div style="text-align: center;">		<templatestyles src="Principia Machina/styles.css" />
			[[The Principia Machina]] is being rewritten in '''Lean 4''', a language in which proofs are checked by machine: one source for the specification and its Calculator, theorems where version 1 had only tests, and a proof checker as the gate every change must pass. The move also inspired a restructuring of the development workflow.

			'''Where it stands''' (13 October 2026): Phase 0 of seven, the development setup, is under way. Nothing from version 1 is ported until the setup passes its acceptance list.
			<div style="display: flex; flex-wrap: wrap; gap: 0 1em; align-items: flex-start;">
			<div style="flex: 1 1 220px; min-width: 0;">
			* '''Done:''' Lean 4.34.1 pinned on every machine; a first library with three proved theorems, the Calculator and its tests; the proof and names gates; one task carried from one machine to another; publishing to this wiki under the Declarer's one-time code.
			* '''Open:''' the second development machine; steering a session from a phone or tablet.
			* '''Next:''' Phase 1, opening with a test of whether the wiki's own server can run a Lean program.
			</div>
			<div class="pma-fig" style="flex: 0 1 356px; min-width: 0; margin: 0 auto; text-align: center;">
	<graphviz>		<graphviz>
	digraph ~~pma_box~~ {		digraph phases {
	rankdir=LR; bgcolor="transparent"; nodesep=0.15; ranksep=0.3;		rankdir=TB; bgcolor="transparent"; nodesep=0.2; ranksep=0.18; size="5.6,9";
	node [shape=box, style="rounded,filled", fontname="Helvetica", fontsize=10, color="#a2a9b1", fillcolor="#eaecf0", fontcolor="#202122", margin="0.12,0.06"];		node [shape=box, style="rounded,filled", fontname="Helvetica", fontsize=10, color="#a2a9b1", fillcolor="#eaecf0", fontcolor="#202122", margin="0.12,0.06"];
	edge [color="#54595d", fontname="Helvetica", fontsize=9, fontcolor="#202122", arrowsize=0.7];		edge [color="#54595d", fontname="Helvetica", fontsize=9, fontcolor="#202122", arrowsize=0.7];
	V1 [~~label~~=~~"TPM v1~~		node [width=3.6];
	~~prose + two~~		P0 [label="Phase 0 The development setup\nUNDER WAY", fillcolor="#8fd1b4", color="#14866d", penwidth=1.6];
	~~calculators"~~];		P1 [label="Phase 1 Foundations\nnot started"];
	L [label="~~Lean 4~~		P2 [label="Phase 2 The Calculator\nnot started"];
	~~sources~~", fillcolor="#~~cef2e0~~", color="#14866d"];		P3 [label="Phase 3 Custos\nnot started"];
	K [label="~~proof~~		P4 [label="Phase 4 The Research Client\nnot started"];
	~~checker~~"~~, shape~~=~~hexagon, style=filled, fillcolor~~="~~#ffedad~~"~~, color~~="~~#ac6600~~"];		P5 [label="Phase 5 Other model families\nnot started"];
	B [label="~~PMA v2~~		P6 [label="Phase 6 Lifecycle and cutover\nnot started"];
	~~one~~		R [label="First release declared", shape=doubleoctagon, style=filled, fillcolor="#ffedad", color="#ac6600", width=2.2];
	~~Calculator~~", fillcolor="#~~cedff2~~", color="#~~6a8fbf~~"];		P0 -> P1 -> P2 -> P3 -> P4 -> P5 -> P6 -> R;
	V1 -> L -> K -> B;
	}		}
	</graphviz>		</graphviz>
			<div style="font-size: 0.88em; color: #54595d;">The seven phases, in order.</div>
			</div>
	</div>		</div>
	~~The Principia Machina is being rewritten in~~ '''Lean ~~4''', a language in which proofs are checked by machine~~. ~~The specification and its calculator become one artifact, and a proof checker becomes the gate every change must pass~~.		'''([[Principia Machina/Lean transition\|Full article...]])'''  ·  [[Principia Machina/Lean transition#lt-plate-box\|The two-doors riddle, in Lean]]  ·  Version 1: [[Round 3\|program of record]], [[The Principia Machina/Testing\|testing]]
	* '''Why:''' Lean ~~4 does in one language what the framework exists to do: state the rules exactly, check every case, and accept a result only when it is proved.~~ The ~~move also inspired a restructuring of the development workflow.~~
	* '''What for:''' one Calculator compiled from one source, theorems where version 1 had only tests, and nothing accepted unless the checker accepts it.
	* '''Where it stands:''' Phase 0, the first of seven: the development setup, as of 12 October 2026.
	* '''See the difference:''' the two-doors riddle, ~~solved in ordinary mathematics and~~ in Lean, ~~and what Lean does when a guess is wrong.~~

	~~'''(~~[[Principia Machina/~~Lean transition~~\|~~Full article...~~]]~~)'''~~
	</div>		</div>
	</div>		</div>

BFP Rauch at 13:22, 13 October 2026

2026-10-13T13:22:11Z

← Older revision		Revision as of 13:22, 13 October 2026
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	</div>		</div>

			<!-- pma:begin lean -->
	<!-- Green Box -->		<!-- Green Box -->
	<div id="mp-round-box" style="border: 1px solid #a2a9b1; margin-bottom: 15px; background: #ffffff;">		<div id="mp-round-box" style="border: 1px solid #a2a9b1; margin-bottom: 15px; background: #ffffff;">
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	</div>		</div>

	~~<!-- pma:begin lean -->~~
	<!-- Green Box -->		<!-- Green Box -->
	<div id="mp-lean-box" style="border: 1px solid #a2a9b1; margin-bottom: 15px; background: #ffffff; color: #202122;">		<div id="mp-lean-box" style="border: 1px solid #a2a9b1; margin-bottom: 15px; background: #ffffff; color: #202122;">

PMA Publisher: Published from the Principia Machina source

2026-10-13T07:28:04Z

Published from the Principia Machina source

@@ Line 56: / Line 56: @@
 <!-- pma:begin lean -->
 <!-- pma:end lean -->
      <!-- Grey Box -->

BFP Rauch: The publishing markers for the block 'lean' (V30)

2026-10-13T07:24:58Z

The publishing markers for the block 'lean' (V30)

← Older revision		Revision as of 07:24, 13 October 2026
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	</div>		</div>

			<!-- pma:begin lean -->
			<!-- pma:end lean -->
	<!-- Grey Box -->		<!-- Grey Box -->
	<div id="mp-history-box" style="border: 1px solid #a2a9b1; margin-bottom: 15px; background: #ffffff;">		<div id="mp-history-box" style="border: 1px solid #a2a9b1; margin-bottom: 15px; background: #ffffff;">

BFP Rauch: Edited under the disclosure rule

2026-10-13T07:00:36Z

Edited under the disclosure rule

← Older revision		Revision as of 07:00, 13 October 2026
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	# '''The foundations record.''' A dated account of every design decision, the options rejected, and the reasons. It is the source TPS was written from. It describes; it never instructs.		# '''The foundations record.''' A dated account of every design decision, the options rejected, and the reasons. It is the source TPS was written from. It describes; it never instructs.
	# '''The specification.''' This document. It defines the five layers of the framework, the sealed container a piece of research lives in, the wiki machinery that records the work, and the Agent Contract: the rules any AI agent follows to work a container. It is versioned, and its fingerprint is the first line of the wiki's chain of declarations.		# '''The specification.''' This document. It defines the five layers of the framework, the sealed container a piece of research lives in, the wiki machinery that records the work, and the Agent Contract: the rules any AI agent follows to work a container. It is versioned, and its fingerprint is the first line of the wiki's chain of declarations.
	# '''The implementations.''' What runs the rules. On the server, TPX, a MediaWiki extension that performs every check a machine can perform. Beside the agent, PRB, the client an agent uses to hold its working copy and land results. And each agent's own instruction set, implementing the Agent Contract. The project's own instruction set~~, PMP-TPM,~~ is written for Claude and is one implementation among any number.		# '''The implementations.''' What runs the rules. On the server, TPX, a MediaWiki extension that performs every check a machine can perform. Beside the agent, PRB, the client an agent uses to hold its working copy and land results. And each agent's own instruction set, implementing the Agent Contract. The project's own instruction set is written for Claude and is one implementation among any number.
	# '''The wiki.''' Where all of the above is published and read, and the system of record for everything TPM does.		# '''The wiki.''' Where all of the above is published and read, and the system of record for everything TPM does.
	# '''The containers.''' The research itself: a sealed set of laws and assumptions, and the register of findings built on it.		# '''The containers.''' The research itself: a sealed set of laws and assumptions, and the register of findings built on it.
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	</div>		</div>
	</div>__NOTOC____NOEDITSECTION__		</div>__NOTOC____NOEDITSECTION__

BFP Rauch: 1 revision imported

2026-10-06T03:41:05Z

1 revision imported

← Older revision	Revision as of 03:41, 6 October 2026
(No difference)

DeltaS Zero: Main Page: the Research Toolkit in its own box in the right-hand column, beneath The Work of James Clerk Maxwell (its three parts, the manual, the bibliography, the agent card); Physics Tools stays in the featured plate with the ten additions; no other text changed (tpm_toolkit 0.1.1)

2026-10-06T03:40:47Z

Main Page: the Research Toolkit in its own box in the right-hand column, beneath The Work of James Clerk Maxwell (its three parts, the manual, the bibliography, the agent card); Physics Tools stays in the featured plate with the ten additions; no other text changed (tpm_toolkit 0.1.1)

@@ Line 190: / Line 190: @@
 '''([[On_Physical_Lines_of_Force|Full article...]])'''
        </div>
      </div>
@@ Line 236: / Line 266: @@
 == [[The Principia Machina/Tools|Physics Tools]] ==
-Theoretical rigor must be paired with high-performance computational machinery. Twelve open tools, surveyed for [[the Principia Machina]], cover three analytical frontiers:
+Theoretical rigor must be paired with high-performance computational machinery. Twenty-two open tools are now surveyed for [[the Principia Machina]]; the first twelve cover three analytical frontiers:
 * '''The Inverse Action Problem:''' Discovering analytical scalar Lagrangians <math>\mathcal{L}(\phi, \partial_\mu \phi)</math> and continuous Noether symmetries directly from perturbation data using [[The_Principia_Machina/Tools/PySR|PySR]] and [[The_Principia_Machina/Tools/AIFeynman|AI Feynman]].
 * '''Variational & Mesh-Free Solvers:''' Minimizing continuous action integrals across complex geometries via Physics-Informed Neural Networks ([[The_Principia_Machina/Tools/DeepXDE|DeepXDE]]) and symbolic finite-element/difference stencils ([[The_Principia_Machina/Tools/FEniCS|FEniCS]] & [[The_Principia_Machina/Tools/Devito|Devito]]).
 * '''Spacetime & Tensor Algebra:''' Evaluating functional variational derivatives in [[The_Principia_Machina/Tools/Cadabra2|Cadabra2]], 3+1 ADM spacetime evolution in the [[The_Principia_Machina/Tools/EinsteinToolkit|Einstein Toolkit]], and open quantum dynamics in [[The_Principia_Machina/Tools/QuTiP|QuTiP]].
 Read it your way: '''[[The Principia Machina/Tools/General reader|in plain language]]''' &middot; '''[[The Principia Machina/Tools/Operator's guide|the operator's guide]]''' &middot; '''[[The Principia Machina/Agent/Tools|for AI agents]]'''
@@ Line 272: / Line 304: @@
    </div>
 </div>__NOTOC____NOEDITSECTION__