
45SURF
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45SURF
@45surf
Pioneering shooting stills & video @ the same time: http://t.co/1ruIs1xeQW http://t.co/pX0YpfAcJG We call shooting stills & video @ the same time 45surfing
Malibu, CA Katılım Mart 2009
252 Takip Edilen313 Takipçiler

@mvidia84853 @omarsar0 Yes! An LLM with the plot of Hamlet would beat Shakespeare!
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@mathelirium @WKCosmo What are Kaku’s principles postulates predictions proofs equations? Bet you can’t name them.
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@WKCosmo Whats wrong with Michio Kaku making a conjecture? Whats wrong with this generation!😏
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The thing that I wonder about is how Hawking and Penrose repeatedly got away with saying equally stupid shit — nobody complains that Hawking was a publicity hound or a "science populist", even though he was one of the worst offenders.
Kekius Maximus@Kekius_Sage
Physicist Michio Kaku suggests dark matter isn’t matter at all. It is gravity leaking from a parallel dimension.
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Symmetry! :) The McGucken Symmetry 𝐝𝐱𝟒/𝐝𝐭=𝐢𝐜 — The Father Symmetry of Physics — Completing Klein’s 1872 Erlangen Programme while Deriving Lorentz, Poincaré, Noether, Wigner, Gauge, Quantum-Unitary, CPT, Diffeomorphism, Supersymmetry, and the Standard String-Theoretic Dualities and Symmetries as Theorems of the McGucken Principle elliotmcguckenphysics.com/2026/04/28/the…
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@briankeating lol Most cited physics paper of a failed theory in an era of failed physics youtu.be/2p_Hlm6aCok?si…

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Juan Maldacena — the most-cited theoretical physicist alive — told me which unsolved problem he'd most like to solve before he dies.
His answer wasn't black holes. Guess what it was?
a) The Big Bang's first instant 🌌
b) The information paradox 🕳️
c) Quantizing gravity ⚛️
Full conversation: youtu.be/axijkqgYa4E

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Hilbert’s Sixth Problem Solved via The McGucken Axiom dx₄/dt = ic and its Generation of the McGucken Space ℳ_G and Operator D_M: A New Categorical Foundation for the Axiomatic Derivation of Mathematical Physics which Completes the Erlangen Programme: Deriving General Relativity, Quantum Mechanics, Thermodynamics, Spacetime, Symmetry, and Action as Chains of Theorems Descending from the Axiom dx₄/dt = ic
Abstract
In 1900, the great mathematician David Hilbert set forth his “Sixth Problem,” calling for an axiomatic foundation exalting and unifying physics in the spirit of what Euclid’s Elements and Newton’s Principia had achieved in their respective realms. This paper demonstrates that the McGucken Axiom dx₄/dt = ic solves Hilbert’s Sixth Problem by providing a single mathematical/physical axiom/principle upon which the edifice of mathematical physics is constructed. The McGucken Axiom dx₄/dt = ic has been demonstrated to generate the physical spaces and operators of our universe: dx₄/dt = ic co-generates the McGucken Space ℳ_G [McGucken 2026] and the McGucken Operator D_M = ∂t + ic ∂{x₄} [McGuckenOperator 2026], with the simultaneous space-operator generation forming a new category that completes Felix Klein’s 1872 Erlangen Programme [McGuckenSpaceOperator 2026; McGuckenCategory 2026] in exalting the mathematical apparatus of physics.
From the Axiom dx₄/dt = ic the principal mathematical structures of physics — Lorentzian metric, Hilbert space, canonical commutator, Schrödinger and Dirac equations, gauge bundles, Fock space, operator algebras — are derived as theorems [McGuckenGR 2026; McGuckenGRQMUnified 2026; McGuckenQM 2026; McGuckenThermodynamics 2026; McGuckenSphere 2026; McGuckenSymmetry 2026; McGuckenLagrangian 2026; McGuckenSpaceOperator 2026; McGuckenCategory 2026].
This paper conducts a formal analysis of where the McGucken Axiom dx₄/dt = ic stands in the literature of foundational physics and mathematics, identifying the precise structural features that have not been achieved by prior work. The analysis examines the relationship to Hilbert’s Sixth Problem (1900), to Gödel’s First Incompleteness Theorem (1931), to the Hilbert-space reconstruction programmes of Hardy, Chiribella-D’Ariano-Perinotti, and Masanes-Müller, to non-commutative geometry (Connes), to twistor theory (Penrose, Woit), to the Euclidean-relativity tradition (Montanus, Gersten, Almeida, Freitas, Machotka), and to the Wick rotation programme (Wick, Schwinger, Symanzik, Osterwalder-Schrader, Kontsevich-Segal).
The result is that the McGucken Axiom occupies a structural position not previously occupied: a single differential generator co-producing arena and operator, with a derivational closure satisfying generative completeness over the class of physical-mathematical arenas, and a formal-syntactic structure that does not satisfy Gödel’s condition G3 and is therefore not subject to Gödel-incompleteness.
The McGucken framework solves Hilbert’s Sixth Problem (which was open from 1900 to 2026, never foreclosed by Gödel because Hilbert’s Sixth Problem concerns physics axiomatization rather than arithmetic-encoding metamathematics) and additionally, by virtue of being a non-arithmetic-encoding geometric-physical foundation, satisfies the Hilbertian metamathematical goals (H1) explicit formalization and (H5) axiomatic minimality at the absolute floor C = 1, together with the non-G3 portion of goal (H2) realized as generative completeness over the class PhysSpace of physical-mathematical arenas. These three goals were never foreclosed by Gödel’s 1931 First Incompleteness Theorem; they are precisely the Hilbertian targets that a non-arithmetic foundation can hit, and the McGucken Axiom hits all three.
After well over a century, Hilbert’s Sixth Problem is solved via the McGucken Principle’s recognition of the physical fact that the fourth dimension is expanding in a spherically symmetric manner at the velocity of light from every spacetime event, dx₄/dt = ic. For over 100 years, the academic tradition has taught x₄ = ict as a notational convenience for writing the spacetime metric in pseudo-Euclidean form rather than as the integrated kinematic content of an actual physical motion. The McGucken Principle dx₄/dt = ic recognizes what is actually physically happening: the fourth dimension is dynamic, advancing at the universal invariant rate c, with the imaginary unit i encoding the orientation perpendicular to the three spatial directions, with a foundational wavelength proportional to Planck’s constant of action h, and the spherical symmetry of x₄’s expansion from every event making the McGucken Sphere the kinematic substrate of both quantum mechanics and general relativity. Only this physical reading — the deep physical, geometric content of dx₄/dt = ic rather than a mere algebraic curiosity — generates the vast wealth of naturally derivational consequences across general relativity, quantum mechanics, thermodynamics, symmetries, spacetime, and Lagrangian field theory that the McGucken chains-of-theorems papers establish [McGuckenGR 2026; McGuckenGRQMUnified 2026; McGuckenQM 2026; McGuckenThermodynamics 2026; McGuckenSphere 2026; McGuckenSymmetry 2026; McGuckenLagrangian 2026], which together solve Hilbert’s Sixth Problem.
This paper additionally shows that the mathematical reading of the Axiom/principle dx₄/dt = ic also bears vast wealth in the mathematical realm via the unique McGucken Space ℳ_G and McGucken Operator D_M [McGucken 2026; McGuckenOperator 2026; McGuckenSpaceOperator 2026; McGuckenCategory 2026], and their unique structural properties of being self-generative, mutually-contained, and reciprocally generative — properties that no prior arena-operator pair from Euclid through Connes-Lawvere has exhibited.
The Erlangen completion proceeds along two structurally independent routes [McGuckenDoubleCompletion 2026; McGuckenDoubleCompletionUnification 2026]: Route 1 (group-theoretic) supplies the missing physical generator that selects the relativistic Klein pair (ISO(1,3), SO⁺(1,3)) from within Klein’s group-invariant architecture; Route 2 (category-theoretic) goes beneath Klein’s primitive group-space pair (G, X) and replaces it with the deeper source-pair (ℳ_G, D_M) co-generated by dx₄/dt = ic. The two routes terminate in different categorical fields — group theory and category theory, separate research traditions for over a century — yet both completions descend from the same single physical equation, unifying the two mathematical traditions through one foundational principle.
To paraphrase first-man-on-the-moon Neil Armstrong’s “one small step for man, one giant leap for mankind”: obtaining x₄ = ict by integration of dx₄/dt = ic, or recovering dx₄/dt = ic by differentiation of x₄ = ict, is one small step for math; recognizing that the fourth dimension is physically expanding at the velocity of light in a spherically-symmetric manner, with all the naturally derivational consequences this has across quantum mechanics, general relativity, thermodynamics, spacetime, symmetry, action, and cosmology, is one giant leap for physics.
elliotmcguckenphysics.com/wp-content/upl…
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General Relativity and Quantum Mechanics Unified as Theorems of the McGucken Principle: The Fourth Dimension is Expanding at the Velocity of Light dx₄/dt = ic: Deriving GR & QM from a First Principle in the Spirit of Euclid’s Elements and Newton’s Principia Mathematica
elliotmcguckenphysics.com/2026/05/05/gen…
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@StanphylCap When he blinds the Cyclopes he asks, “ how do you like them apples?” youtu.be/gqHRz6SrfiA?si…

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"Matt Damon battles the Cyclops in new trailer for ‘The Odyssey" nme.com/news/film/matt…
I could be totally wrong, but based on the trailer I don't think Damon (who's a GREAT Bourne) has enough "acting heft" to carry this giant movie. It needs a "Gladiator"-level Russell Crowe.
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Eric, I write for Vanity Fair. I would like to DM you.
I’ve followed your work for a very long time and as far as I am self-taught on the frontlines of physics, I have always instinctively balked at string theory and gravitated to you and Penrose’s geometric backgrounds and perspectives on gravity.
Your explication of the scientific industrial structure that soft sunsetted physics in the early 80s is hugely important and should be more publicly understood. The effects of this have spread downstream far beyond the advancement of physics.
First metaphysics halved in the early 20th century when GR and QM and the unresolved congruence bw the two outstripped the knowledge of the metaphysician. The best philosophers were always also mathematicians, geometers, scientists etc and understood and could work the parameters of the farthest reaches of observational human knowledge.
The GR/QM advance outstripped their understandings and broke metaphysics into specialized branches, meta- and -physics. (I am oversimplifying here, but it’s to hurry you to my point.) The only route open to the philosopher was thus the meta-, the cynical, sociological, deconstruction route of postmodernism: there is no truth, everything is a construct, the west is bad. This debauched state of philosophy then trickled into academic political theory. (Philosophy and the politics downstream of its influence since the early 20th C has been something of a psyop.)
At the same time, if I understand you correctly, physics went underground (possibly, I infer, into USAPs) and outstripped the PHYSICIST, who was herded into a string theory pen, and who could not advance their career unless they mined the arid earth of this wrong theory. Anyone such as yourself who challenged it was excommunicated.
Thus we arrive at a 21st century with no public ontology. The work of real physics happens underground via these USAPs and a pipeline of colleges you have posited COULD be providing physics minds. All true advancement in knowledge is borne secret.
But maybe I misunderstand you.
At any rate, I am working on a project and I would so highly value speaking to you. You are brilliant. Thank you.
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Having studied symmetry my whole adult life, I have come to the belief that we don’t fully know why symmetry is so important in physics. It may be more than one reason. Or it may be one reason. We aren’t there yet to be able
to call it.
We don’t even fully know what it is. We dont even know if symmetry and redundancy are different, equivalent or exactly the same thing. We dont know if Supersymmetry is a symmetry. We cant say easily what E8 is a symmetry of other than things made from E8.
If you were simply to change the definite article at the beginning of this post, it instantly becomes a great point. If you leave it, it remains a fascinating boast. Either way, it’s great food for thought. Thx.
François Chollet@fchollet
The reason symmetry is so important in physics is because symmetry is a highly effective compression operator. If a system is invariant under some symmetry, you only need to explain one axis of it. Scientific models represent the systematic exploitation of the universe's internal redundancies through symbolic logic.
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@Catholicizm1 @alicefaith218 Matthew 23:27
King James Version
27 Woe unto you, scribes and Pharisees, hypocrites! for ye are like unto whited sepulchres, which indeed appear beautiful outward, but are within full of dead men's bones, and of all uncleanness.
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Matthew 23:27 in all English
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@alicefaith218 He is the King of Kings. He deserves our best.
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@Catholicizm1 English Standard Version
Again I tell you, it is easier for a camel to go through the eye of a needle than for a rich person to enter the kingdom of God.”
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@Catholicizm1 @alicefaith218 New King James Version
Fools and blind! For which is greater, the gold or the temple that sanctifies the gold?
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@alicefaith218 Don’t be ridiculous. God commanded the Temple to be adorned with gold.
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open.substack.com/pub/elliotmcgu…
The McGucken Principle of a Fourth Expanding Dimension (dx₄/dt = ic) as a Candidate Physical Mechanism for Jacobson's Thermodynamic Spacetime, Verlinde's Entropic Gravity, and Marolf's Nonlocality Constraint (And So Much More)
Dr. Elliot McGuckenLight, Time, Dimension Theory elliotmcguckenphysics.com
"More intellectual curiosity, versatility and yen for physics than Elliot McGucken's I have never seen in any senior or graduate student. Originality, powerful motivation, and a can-do spirit make me think that McGucken is a top bet. He could and did, and wrote it all up in a beautifully clear account. His second junior paper, entitled Within a Context, was done with another advisor — Joseph Taylor — and dealt with an entirely different part of physics, the Einstein-Rosen-Podolsky experiment and delayed choice experiments in general. This paper was so outstanding."— Dr. John Archibald Wheeler, Joseph Henry Professor of Physics, Princeton University
Abstract
In 1995, Jacobson demonstrated that the Einstein field equations can be derived as an equation of state from the thermodynamic relation δQ = TdS applied to local Rindler horizons, establishing that gravity has the character of an emergent thermodynamic phenomenon arising from unknown microscopic degrees of freedom [1]. In 2010, Verlinde extended this thermodynamic program by deriving Newton's law of gravitation as an entropic force arising from information encoded on holographic screens [2]. Both frameworks leave unanswered the central physical question: what is the microscopic mechanism that produces the entropy, drives its increase, and generates the holographic structure from which gravity emerges? Marolf has further constrained any such mechanism, proving that it must be kinematically nonlocal — it cannot arise from a system with locally defined commuting observables [3]. The McGucken Principle — that the fourth dimension x₄ expands spherically and invariantly from every spacetime point at the fixed rate dx₄/dt = ic — is proposed here as a candidate physical mechanism that addresses these open questions. It is shown that x₄'s spherically symmetric expansion naturally produces monotonically increasing entropy as a geometric necessity; that the McGucken Sphere (the surface of x₄'s expansion) provides a physical realisation of Verlinde's holographic screen; that the invariance of x₄'s expansion across all spacetime provides a form of geometric nonlocality consistent with Marolf's constraint; and that the ADM decomposition of general relativity admits a physically preferred foliation in which x₄'s invariant expansion serves as the carrier against which all spatial curvature is measured. The proposal reproduces no result that differs from standard general relativity; its contribution is to supply the physical interpretation — the dynamical fourth dimension — that Jacobson's, Verlinde's, and Marolf's frameworks require but do not themselves provide.
I. Introduction: The Missing Mechanism in Thermodynamic Gravity
The past three decades have produced a remarkable convergence in theoretical physics: the recognition that gravity, spacetime geometry, and thermodynamics are not merely analogous but deeply intertwined. This convergence rests on three foundational results.
Jacobson's equation of state (1995). Jacobson showed that the Einstein field equation Gₐᵦ + Λgₐᵦ = 8πG Tₐᵦ can be derived from the proportionality of entropy and horizon area together with the Clausius relation δQ = TdS, applied to local Rindler causal horizons through each spacetime point [1]. The heat δQ is identified with the boost energy flux across the horizon; the temperature T is the Unruh temperature; and the entropy S is proportional to the horizon area. The derivation is mathematically precise: the Raychaudhuri equation governs the focusing of null generators, and demanding that δQ = TdS hold for all local Rindler horizons in all null directions forces the Einstein equation to hold. Jacobson's conclusion is that the Einstein equation is an equation of state — a macroscopic relation among thermodynamic variables — analogous to the ideal gas law PV = nkT. As he writes: "it may be no more appropriate to canonically quantize the Einstein equation than it would be to quantize the wave equation for sound in air" [1].
The analogy to sound is the key. Sound in air has molecules underneath it. The wave equation for sound emerges from the statistical mechanics of molecular collisions. If the Einstein equation is an equation of state, there must be microscopic degrees of freedom whose statistical behaviour produces it. Jacobson acknowledges this directly: "although given a microscopic theory of spacetime structure one may someday be able to compute η in terms of a fundamental length scale" [1]. In a 2025 interview, Jacobson states the situation plainly: "I don't know what it is, frankly. I think it's sort of beyond my conceptual horizon" [4].
Verlinde's entropic gravity (2010). Verlinde derived Newton's law F = GMm/r² from the holographic principle and the laws of thermodynamics, proposing that gravity is an entropic force — a force arising from the statistical tendency of a system to maximise its entropy [2]. His derivation uses three ingredients: the holographic screen (a surface encoding information at one bit per Planck area); the entropy change ΔS = 2πkBmcΔx/ℏ when a particle approaches the screen; and the equipartition of energy among the screen's degrees of freedom. The result is elegant and correct, but Verlinde himself acknowledges that the physical mechanism underlying the entropy is not identified. What are the microscopic degrees of freedom on the holographic screen? Why does entropy increase when a particle approaches? Why is the information density one bit per Planck area? These questions remain open.
Marolf's nonlocality constraint (2014). Marolf proved that nonlinear dynamical gravity — gravity with universal coupling to energy, characterised by a Hamiltonian that is a pure boundary term on shell — cannot emerge from a system with local kinematics [3]. Specifically, a system with locally defined observables that commute at spacelike separation cannot produce emergent gravity. As Jacobson puts it in the interview: "there must be a non-locality built into the very structure from which spacetime and gravity are emerging" [4]. This constraint eliminates all naive lattice models, all condensed matter analogues with local degrees of freedom, and any framework that attempts to build spacetime from spatially localised, independently specifiable microscopic states.
Together, these three results define the shape of the missing theory. The microscopic mechanism underlying thermodynamic gravity must: (a) possess degrees of freedom whose entropy scales with area; (b) drive entropy increase as a dynamical process, not merely a statistical tendency; (c) be kinematically nonlocal — its degrees of freedom cannot be independently specified at spacelike-separated points; and (d) reproduce the Einstein equation as its macroscopic equation of state.
The McGucken Principle — dx₄/dt = ic — is proposed here as a candidate mechanism satisfying all four requirements.
open.substack.com/pub/elliotmcgu…
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@WKCosmo Einstein is not the problem. Clickbait physics slop is the problem. @Diary_Of_A_CEO @ericweinstein @skdh @seanmcarroll @IAmTimNguyen @lexfridman @veritasium @neiltyson @Samuel_Gregson @StartsWithABang @bgreene @michiokaku
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elliotmcguckenphysics.com/2026/04/13/how… How the McGucken Principle of the Fourth Expanding Dimension (dx₄/dt = ic) Accounts for the Standard Model’s Broken Symmetries, Time’s Arrows and Asymmetries, and Much More
Apr 13, 2026
From a single geometric postulate — one physically real dimension expanding perpendicular to the three spatial dimensions at the rate of c — every broken symmetry, every arrow of time, and the deepest structures of physics all follow as theorems.
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