<html><head><meta http-equiv="Content-Type" content="text/html; charset=utf-8"></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class="">Dear Luke,<div class="">You mentioned a lot of things that are of interest to me and I would like to read more of what you have written.</div><div class="">Among others, this paper of mine will explain why: <a href="https://urldefense.com/v3/__https://arxiv.org/pdf/2501.03260__;!!D9dNQwwGXtA!S4YpVHw2Z-GtmRSoZkO4LQCOPuU0ac1jLGVTMfumg3pDlYXiRtisx3tgOxgrOlssbvSwND24_9R4Ov5M$" class="">https://arxiv.org/pdf/2501.03260</a></div><div class=""><br class=""></div><div class="">Can you send me papers and links?</div><div class="">Best,</div><div class="">Lou Kauffman</div><div class=""><br class=""><div><br class=""><blockquote type="cite" class=""><div class="">On Jan 15, 2025, at 1:41 AM, Luke Kenneth Casson Leighton <<a href="mailto:lkcl@lkcl.net" class="">lkcl@lkcl.net</a>> wrote:</div><br class="Apple-interchange-newline"><div class="">(with thanks to dr alex hankey for alerting me to this<br class=""> fascinating conversation)<br class=""><br class="">On Tuesday, January 14, 2025, Alex Hankey <<a href="mailto:alexhankey@gmail.com" class="">alexhankey@gmail.com</a>> wrote:<br class=""><br class="">> ---------- Forwarded message ---------<br class="">> From: Louis Kauffman <<a href="mailto:loukau@gmail.com" class="">loukau@gmail.com</a>><br class="">> Date: Wed, 15 Jan 2025 at 01:20<br class="">> Subject: Re: [Fis] "Percepts" and self-reference<br class="">> To: Plamen <<a href="mailto:plamen.l.simeonov@gmail.com" class="">plamen.l.simeonov@gmail.com</a>><br class="">> Cc: fis <<a href="mailto:fis@listas.unizar.es" class="">fis@listas.unizar.es</a>><br class="">><br class="">><br class="">> About Chaitin’s Omega.<br class="">> The n-th digit of Omega is 1 if the n-th algorithm in a given language halts. It is 0 if the algorithm does not halt.<br class=""><br class="">trimming a huge amount of context (as per 30+ year standard<br class="">mailing list netiquette) i noted the original fascinating<br class="">questions several messages back, and i'd like to share some<br class="">thoughts of the past years and days.<br class=""><br class="">i have been working on a particle physics theory since 1986<br class="">which started out as a rediscovery of haim harari's rishon<br class="">model and has evolved through *fractional* spherical harmonics<br class="">(see <a href="https://urldefense.com/v3/__https://arxiv.org/abs/2301.12433__;!!D9dNQwwGXtA!S4YpVHw2Z-GtmRSoZkO4LQCOPuU0ac1jLGVTMfumg3pDlYXiRtisx3tgOxgrOlssbvSwND24__1y5Vn4$" class="">https://arxiv.org/abs/2301.12433</a>)<br class="">to something that can support consciousness. the problem<br class="">and the godsend being that i have A-Level mathematics and<br class="">have been working with computers since 1978. along the way i<br class="">discovered dr randall mill's superb work which cuts out a lot<br class="">of math to need to do/redo, and i also discovered the de Vries<br class="">Formula for alpha.<br class=""><br class="">assuming (2301.12433) there exists fractional spherical harmonic<br class="">"shells" equivalent to 1s 1p 2s etc etc, the theory goes that<br class=""><br class="">* particles are a superposition of one *or more* circularly-<br class=""> self-phase-locked travelling *and standing* photons<br class=""> [in fractional spherical harmonics shell positions]<br class="">* where a non-radiating boundary condition *is* satisfied<br class=""> by the same<br class="">* and that there are no harmonics at the speed of light<br class=""> (therefore special relativity therefore can be applied,<br class=""> greatly simplifying the math - see Mill's work on<br class=""> electron proton and neutron)<br class="">* where each contributing photon itself has a fractional<br class=""> spherical harmonic<br class="">* where the total superposition (if there is more than one<br class=""> photon) *must* sum to a 0,90,180,270 degree spherical<br class=""> harmonic phase position if the particle is to have any<br class=""> chance of being stable<br class="">* where any other phase positions (30,60,120...) are extreme<br class=""> disruptive in "bare" form and consequently are, best way<br class=""> to put it, "electro-magnetically reserved", due to their<br class=""> instability and the EM field disruption they would cause,<br class=""> for quarks and anti-quarks.<br class=""><br class="">so that is basic background - a summary of 38 years part-time<br class="">research, which ironically and effectively brings back the<br class="">Ring Model, where/but Mill's work mathematically established that<br class="">the EM field created *by* that ring is *perfectly spherical*,<br class="">*and* satisfies a non-radiating boundary condition, which is<br class="">quite stunning.<br class=""><br class="">i cannot tell you which is which, but i suspect that:<br class=""><br class="">* the electron is likely to have:<br class=""> - a 180 phase presence<br class=""> (giving us the familiar "negative charge")<br class=""> and<br class=""> - be in the 1/2 fractional spherial harmonic category<br class=""> (giving us the familiar "spin half" because the 1/2<br class=""> fractional harmonics require 4pi rotations.<br class=""> see diagrams in <a href="https://urldefense.com/v3/__https://arxiv.org/abs/2301.12433__;!!D9dNQwwGXtA!S4YpVHw2Z-GtmRSoZkO4LQCOPuU0ac1jLGVTMfumg3pDlYXiRtisx3tgOxgrOlssbvSwND24__1y5Vn4$" class="">https://arxiv.org/abs/2301.12433</a>)<br class=""><br class="">* the proton is likely to have a 0 phase presence (+ve charge)<br class=""> but given that this is a new development (one week) i cannot<br class=""> yet say what fractional harmonic category the proton's quarks<br class=""> are likely to be in: whether they are in 1/2, 1/3, 1/6 i really<br class=""> cannot yet say.<br class=""><br class="">* the neutrino is likely to have a 90 phase presence,<br class=""> likewise the neutron a 270 phase<br class=""><br class="">* i also suspect (as a 20 year unconfirmed hypothesis)<br class=""> that neutrinos orbit neutrons in exactly the same way<br class=""> that electrons orbit protons, in corresponding shells<br class=""> neutrino-1s, neutrino-1p etc. and that the neutrinos<br class=""> expand their radius correspondingly, accommodating<br class=""> the shell energy in exactly the same way that an<br class=""> electron would, the difference being that the ratio<br class=""> of orbital-shell energy to bare-mass is orders of<br class=""> magnitude different for a neutrino and an electron!<br class=""><br class=""> however intuitively i would NOT expect the orbit<br class=""> of a single-neutrino round a single-neutron to be<br class=""> stable because with no EM charge there is *nothing<br class=""> protecting them* from surrounding incoming EM fields,<br class=""> which would help explain why the neutron has a half-life.<br class=""><br class="">it is the neutrino and its families (muon, tau) where things<br class="">get REALLY interesting, because i suspect that the higher<br class="">energy neutrinos are simply its photon *JUMPING TO ALTERNATIVE<br class="">FRACTIONAL SPHERICAL ORBITS*.<br class=""><br class="">do bear with me, because i have missed out one very crucial<br class="">detail of the significance of photons being phase-locked<br class="">with themselves.<br class=""><br class="">what that means - given that photons may be phase-locked<br class="">with themselves - is that in essence they satisfy the<br class="">condition of knower *knowing itself*.<br class=""><br class="">oink.<br class=""><br class="">let that sink in for a minute.<br class=""><br class="">much more than that: the circular photon is a way to store<br class="">information *and* a way to perform both differentiation and<br class="">integration over time of that same information *and* when<br class="">superposition is involved (in the form of fractional orbital<br class="">"shells" having the fractional equivalent of 1s 2p 2s 3d etc)<br class="">you can begin to work up towards some extremely complex<br class="">and comprehensive ***SELF-REFERENTIAL*** quantum states.<br class=""><br class="">the level at which subtle energy, consciousness, homeopathic<br class="">medicine, souls, "sixth sense" - the whole lot - i believe to be<br class="">mathematically at a ridiculously-high-order fractional<br class="">spherical harmonic shell level that superimposes to the<br class="">90 (or 270) degree phase - the same phase as the neutrino<br class="">family and the neutron [and W0 Bosons, and Higgs0 Bosons]<br class=""><br class="">the key part about "interaction" with such self-referential<br class="">energy "packets" is that 90/270 phase presence. remember<br class="">that a 0 or 180 overall superpositional phase presence results<br class="">in an electrical charge (epsilon0), which is obviously not<br class="">in any way "subtle"!<br class=""><br class="">i suspect/intuit that just like the neutrino, these 90/270<br class="">energy "packets" can also, in the right contributing energy<br class="">field, jump up and down the fractional spherical harmonics<br class="">shells, and that this allows an INFINITESIMALLY small but<br class="">very real window of opportunity for lower-fractional-harmonic<br class="">energy "packets" to "superimpose" with (merge with) the<br class="">temporarily-jumped-up ones, in a way that, if 0/180 (aka<br class="">*charged* particles) were involved, would require CERN's or other<br class="">particle colliders to overcome the EM charge and create the<br class="">usual huge exciting mess, including making the surrounding area<br class="">ever so slightly radioactive :)<br class=""><br class="">thus we have the basis for not just consciousness but also<br class="">the ability to transfer what Daoism terms "Message" from<br class="">one conscious being to another, and so much more.<br class=""><br class="">in essence the theory has run away with itself to become<br class="">the mathematical basis of a self-referential quantum computer,<br class="">capable of information storage, retrieval, addition, subtraction,<br class="">and differentiation and integration with respect to time.<br class=""><br class="">which any computer scientist will recognise as being more<br class="">than adequate to be a Turing Machine, if the ticker-tapes<br class="">were put into fantastic mobius strips that *fed back into<br class="">the Turing State Machine itself*<br class=""><br class="">unfortunately.. beyond an intuitive level, the actual mathematics<br class="">is far beyond my ability. i have gotten this far on sheer<br class="">bloody-minded persistence alongside pattern-recognition<br class="">when reading paper after paper, for decades. i know what i<br class="">am looking for, if that makes sense.<br class=""><br class="">the summary then - bringing it back to the topic:<br class=""><br class="">* interaction with surrounding energy is possible (see standard<br class=""> particle physics "ladder diagrams" aka particle "decays")<br class=""><br class="">* the fractional harmonic superpositions, being circular<br class=""> self-phase-locked travelling and standing waves with<br class=""> themselves and with all other contributors, are by<br class=""> *definition* self-referential.<br class=""><br class="">i'll leave it at that and would welcome questions and insights.<br class=""><br class="">l.<br class=""><br class=""><br class=""><br class=""><br class=""><br class=""><br class="">-- <br class=""><div dir="ltr" class="">---<br class="">geometry: without it life is pointless<div class="">the fibonacci series: easy as 1 1 2 3</div></div><br class="">
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