{"id":14959,"date":"2026-01-06T18:19:59","date_gmt":"2026-01-06T17:19:59","guid":{"rendered":"http:\/\/instytut-iskra.pl\/?page_id=14959"},"modified":"2026-01-15T13:24:04","modified_gmt":"2026-01-15T12:24:04","slug":"czastki-w-maya","status":"publish","type":"page","link":"https:\/\/instytut-iskra.pl\/en\/czastki-w-maya\/","title":{"rendered":"Particles in MAYA"},"content":{"rendered":"<div data-elementor-type=\"wp-page\" data-elementor-id=\"14959\" class=\"elementor elementor-14959\">\n\t\t\t\t<div class=\"elementor-element elementor-element-5e09778 e-flex e-con-boxed e-con e-parent\" data-id=\"5e09778\" data-element_type=\"container\">\t\t\t<div class=\"e-con-inner\">\r\n\t\t<div class=\"elementor-element elementor-element-63de87c e-con-full e-flex e-con e-child\" data-id=\"63de87c\" data-element_type=\"container\">\t\t<div class=\"elementor-element elementor-element-6da27ae elementor-widget elementor-widget-pxl_menu\" data-id=\"6da27ae\" data-element_type=\"widget\" data-widget_type=\"pxl_menu.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t    <div class=\"pxl-nav-menu pxl-nav-menu1 pxl-mega-full-width pxl-nav-vertical\" data-wow-delay=\"ms\">\r\n        <div class=\"menu-menu_maya-container\"><ul id=\"menu-menu_maya\" class=\"pxl-menu-primary clearfix\"><li id=\"menu-item-15535\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-15535\"><a href=\"https:\/\/instytut-iskra.pl\/en\/przedmowa\/\"><span class=\"pxl-menu-item-text\">Preface<i class=\"pxl-arrow-none pxl-hide pxl-ml-4\"><\/i><\/span><\/a><\/li>\n<li id=\"menu-item-14873\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-14873\"><a href=\"https:\/\/instytut-iskra.pl\/en\/geneza-teorii\/\"><span class=\"pxl-menu-item-text\">The origins of the MAYA theory<i class=\"pxl-arrow-none pxl-hide pxl-ml-4\"><\/i><\/span><\/a><\/li>\n<li id=\"menu-item-14879\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-14879\"><a href=\"https:\/\/instytut-iskra.pl\/en\/problemy-wspolczesnej-fizyki\/\"><span class=\"pxl-menu-item-text\">Problems of modern physics<i class=\"pxl-arrow-none pxl-hide pxl-ml-4\"><\/i><\/span><\/a><\/li>\n<li id=\"menu-item-14872\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-14872\"><a href=\"https:\/\/instytut-iskra.pl\/en\/dlaczego-informacja\/\"><span class=\"pxl-menu-item-text\">Why information?<i class=\"pxl-arrow-none pxl-hide pxl-ml-4\"><\/i><\/span><\/a><\/li>\n<li id=\"menu-item-14876\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-14876\"><a href=\"https:\/\/instytut-iskra.pl\/en\/jednostki-plancka\/\"><span class=\"pxl-menu-item-text\">Planck units<i class=\"pxl-arrow-none pxl-hide pxl-ml-4\"><\/i><\/span><\/a><\/li>\n<li id=\"menu-item-14878\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-14878\"><a href=\"https:\/\/instytut-iskra.pl\/en\/planxel\/\"><span class=\"pxl-menu-item-text\">Planxel<i class=\"pxl-arrow-none pxl-hide pxl-ml-4\"><\/i><\/span><\/a><\/li>\n<li id=\"menu-item-14875\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-14875\"><a href=\"https:\/\/instytut-iskra.pl\/en\/implikacje-mechanizmu-planxeli-dla-fizyki\/\"><span class=\"pxl-menu-item-text\">Physics implications of the planxel mechanism<i class=\"pxl-arrow-none pxl-hide pxl-ml-4\"><\/i><\/span><\/a><\/li>\n<li id=\"menu-item-14881\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-14881\"><a href=\"https:\/\/instytut-iskra.pl\/en\/reinterpretacja-wzorow\/\"><span class=\"pxl-menu-item-text\">Reinterpretation of Formulas<i class=\"pxl-arrow-none pxl-hide pxl-ml-4\"><\/i><\/span><\/a><\/li>\n<li id=\"menu-item-14871\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-14871\"><a href=\"https:\/\/instytut-iskra.pl\/en\/czas-w-modelu-maya\/\"><span class=\"pxl-menu-item-text\">Time in the M\u0101y\u0101 Model<i class=\"pxl-arrow-none pxl-hide pxl-ml-4\"><\/i><\/span><\/a><\/li>\n<li id=\"menu-item-14880\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-14880\"><a href=\"https:\/\/instytut-iskra.pl\/en\/przestrzen-w-modelu-maya\/\"><span class=\"pxl-menu-item-text\">Space in the M\u0101y\u0101 model<i class=\"pxl-arrow-none pxl-hide pxl-ml-4\"><\/i><\/span><\/a><\/li>\n<li id=\"menu-item-14874\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-14874\"><a href=\"https:\/\/instytut-iskra.pl\/en\/grawitacja\/\"><span class=\"pxl-menu-item-text\">Gravity<i class=\"pxl-arrow-none pxl-hide pxl-ml-4\"><\/i><\/span><\/a><\/li>\n<li id=\"menu-item-14877\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-14877\"><a href=\"https:\/\/instytut-iskra.pl\/en\/paradoksy-fizyki\/\"><span class=\"pxl-menu-item-text\">Paradoxes of Physics<i class=\"pxl-arrow-none pxl-hide pxl-ml-4\"><\/i><\/span><\/a><\/li>\n<li id=\"menu-item-14870\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-14870\"><a href=\"https:\/\/instytut-iskra.pl\/en\/alpha\/\"><span class=\"pxl-menu-item-text\">ALPHA decoded<i class=\"pxl-arrow-none pxl-hide pxl-ml-4\"><\/i><\/span><\/a><\/li>\n<li id=\"menu-item-14981\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-14981\"><a href=\"https:\/\/instytut-iskra.pl\/en\/czastki-w-maya\/\"><span class=\"pxl-menu-item-text\">Particles in MAYA<i class=\"pxl-arrow-none pxl-hide pxl-ml-4\"><\/i><\/span><\/a><\/li>\n<li id=\"menu-item-15368\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-15368\"><a href=\"https:\/\/instytut-iskra.pl\/en\/mechanika-kwantowa\/\"><span class=\"pxl-menu-item-text\">Quantum mechanics<i class=\"pxl-arrow-none pxl-hide pxl-ml-4\"><\/i><\/span><\/a><\/li>\n<li id=\"menu-item-15682\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-15682\"><a href=\"https:\/\/instytut-iskra.pl\/en\/niezmienniczosc-lorentza\/\"><span class=\"pxl-menu-item-text\">Emergentna niezmienniczo\u015b\u0107 Lorentza<i class=\"pxl-arrow-none pxl-hide pxl-ml-4\"><\/i><\/span><\/a><\/li>\n<li id=\"menu-item-15384\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-15384\"><a href=\"https:\/\/instytut-iskra.pl\/en\/o-emergencji-matematyki\/\"><span class=\"pxl-menu-item-text\">On the emergence of mathematics<i class=\"pxl-arrow-none pxl-hide pxl-ml-4\"><\/i><\/span><\/a><\/li>\n<\/ul><\/div>            <\/div>\r\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\r\n\t\t<div class=\"elementor-element elementor-element-ee9d7ba e-con-full e-flex e-con e-child\" data-id=\"ee9d7ba\" data-element_type=\"container\">\t\t<div class=\"elementor-element elementor-element-cde6078 elementor-widget elementor-widget-pxl_heading\" data-id=\"cde6078\" data-element_type=\"widget\" data-widget_type=\"pxl_heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\r\n<div id=\"pxl-pxl_heading-cde6078-2131\" class=\"pxl-heading px-sub-title-default-style\">\r\n\t<div class=\"pxl-heading--inner\">\r\n\t\t\r\n\t\t<h2 class=\"pxl-item--title style-default highlight-default\" data-wow-delay=\"ms\">\r\n\r\n\t\t\t<span class=\"pxl-heading--text\">\r\n\r\n\t\t\t\t\t\t\t\t\tElementary particles in the M\u0101y\u0101 theory\t\r\n\t\t\t\t\t\r\n\r\n\t\t\t<\/span>\r\n\t\t<\/h2>\r\n\t\t\r\n\t<\/div>\r\n<\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7eb5dc4 elementor-widget elementor-widget-pxl_text_editor\" data-id=\"7eb5dc4\" data-element_type=\"widget\" data-widget_type=\"pxl_text_editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"pxl-text-editor highlight-gradient\">\r\n\t<div class=\"pxl-item--inner\" >\r\n\t\t<h4 dir=\"auto\">From Objects to Synchronization Patterns<\/h4><p dir=\"auto\">Throughout the 20th century, elementary particle physics constructed a picture of reality as a collection of increasingly smaller, point-like \"building blocks\"\u2014quarks, leptons, bosons\u2014moving through a predefined space and interacting via fields. The Standard Model, one of humanity's greatest intellectual achievements, describes these particles with a precision approaching eleven decimal places. It predicts their charges, spins, and interaction probabilities with an accuracy that borders on the miraculous.<\/p><p dir=\"auto\">Yet beneath this mathematical perfection lies an ontological silence.<\/p><p dir=\"auto\">Physics has long known that atoms are largely empty\u2014the nucleus occupies only one quadrillionth of the volume, and electrons are not hard spheres but stretch out like waves of probability. Interactions between particles are not material contact, but exchanges of virtual bosons\u2014waves in quantum fields. The entire stability of matter, chemistry, light, life\u2014all rely on waves, resonances, and interference, not on \"hard\" objects.<\/p><p dir=\"auto\">What is an electron really? Why does it have such mass? Why are there three generations of fermions? Why do massive particles become increasingly difficult to accelerate, eventually requiring infinite energy to reach the speed of light?<\/p><p dir=\"auto\">In classical ontology, the answers are \"this is what the measurements say\" or \"this follows from the Higgs mechanism.\" Masses are parameters entered into the equations\u2014measured empirically and inserted manually. Kinetic energy is added to the rest mass by the Lorentz factor. But the mechanism\u2014why exactly this way?\u2014remains beyond reach.<\/p><p dir=\"auto\">In M\u0101y\u0101 the starting point is different.<\/p><p dir=\"auto\">Elementary particles are not objects. They are not point entities moving through space. They do not exist \"in\" spacetime\u2014they are patterns that co-create that spacetime.<\/p><p dir=\"auto\"><strong>The particle in M\u0101y\u0101 is a stable information soliton<\/strong> \u2013 self-sustaining phase and synchronization resonance, propagating through a discrete network of planxels without loss of identity.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">A soliton isn't \"something\" that moves. It's a persistent pattern of phase interference. <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>\u03c3<\/mi><mo>=<\/mo><mi>\u03c1<\/mi><mo>\u22c5<\/mo><msup><mi>e<\/mi><mrow><mi>i<\/mi><mi>\u03b8<\/mi><\/mrow><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">\\sigma = \\rho \\cdot e^{i\\theta}<\/annotation><\/semantics><\/math>, which moves from planxel to planxel, preserving its structure thanks to the nonlinear effects of the update rule. The space in which it appears to \"move\" is merely an emergent record of the costs of this propagation.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\"><strong class=\"font-semibold\">The mass of a particle is not an arbitrary parameter.<\/strong> It is a measure of the local computational load \u2013 information density <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>\u03c1<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\rho<\/annotation><\/semantics><\/math>that the soliton pattern requires to maintain its consistency throughout each processing cycle.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">The more complex and persistent the pattern, the higher <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>\u03c1<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\rho<\/annotation><\/semantics><\/math>, the more data must be synchronized in one cycle, the greater the energy cost of the network. Resting mass <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>m<\/mi><mn>0<\/mn><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">m_0<\/annotation><\/semantics><\/math> is the basic load needed for the stable existence of a soliton in a vacuum.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\"><strong class=\"font-semibold\">Einstein's classic formula: <\/strong><\/p><p style=\"text-align: center\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>E<\/mi><mo>=<\/mo><mi>m<\/mi><msup><mi>c<\/mi><mn>2<\/mn><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">E = m c^2<\/annotation><\/semantics><\/math><\/p><p>after substitution<\/p><p style=\"text-align: center\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>c<\/mi><mo>=<\/mo><msub><mi mathvariant=\"normal\">\u2113<\/mi><mi>P<\/mi><\/msub><mi mathvariant=\"normal\">\/<\/mi><msub><mi>t<\/mi><mi>P<\/mi><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">c = \\ell_P \/ t_P<\/annotation><\/semantics><\/math><\/p><p>takes the form:<\/p><p style=\"text-align: center\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>E<\/mi><mo>=<\/mo><mi>m<\/mi><msup><mrow><mo fence=\"true\">(<\/mo><mfrac><msub><mi mathvariant=\"normal\">\u2113<\/mi><mi>P<\/mi><\/msub><msub><mi>t<\/mi><mi>P<\/mi><\/msub><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><mn>2<\/mn><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">E = m \\left( \\frac{\\ell_P}{t_P} \\right)^2<\/annotation><\/semantics><\/math><\/p><p class=\"break-words last:mb-0\" dir=\"auto\" style=\"text-align: left\">In M\u0101y\u0101 this means directly: energy is the cost of maintaining a loaded soliton pattern at the maximum speed of information synchronization in the network.<\/p><h4 class=\"text-xl\" dir=\"auto\"><strong class=\"font-semibold\">Relativistic Mass Growth \u2013 Why a Massive Particle Can't Reach the Speed \u200b\u200bof Light<\/strong><\/h4><p class=\"break-words last:mb-0\" dir=\"auto\">One of the most characteristic effects of the theory of relativity is the increase in effective mass at high speeds. The classic formula:<\/p><p style=\"text-align: center\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>m<\/mi><mo>=<\/mo><mi>\u03b3<\/mi><msub><mi>m<\/mi><mn>0<\/mn><\/msub><mo>=<\/mo><mfrac><msub><mi>m<\/mi><mn>0<\/mn><\/msub><msqrt><mrow><mn>1<\/mn><mo>\u2212<\/mo><mfrac><msup><mi>v<\/mi><mn>2<\/mn><\/msup><msup><mi>c<\/mi><mn>2<\/mn><\/msup><\/mfrac><\/mrow><\/msqrt><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">m = \\gamma m_0 = \\frac{m_0}{\\sqrt{1 &#8211; \\frac{v^2}{c^2}}}<\/annotation><\/semantics><\/math><\/p><p><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>In its classical interpretation, this is a kinematic postulate\u2014a consequence of the invariance of the speed of light. However, it does not explain why nature would introduce such a mechanism.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\"><strong class=\"font-semibold\">In M\u0101y\u0101, increase in mass is not a postulate.<\/strong> It is a direct consequence of the increasing computational cost.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">Let us rewrite the formula into the M\u0101y\u0101 language, substituting the speed of light as the relation of architectural parameters:<\/p><p style=\"text-align: center\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>c<\/mi><mo>=<\/mo><mfrac><msub><mi mathvariant=\"normal\">\u2113<\/mi><mi>P<\/mi><\/msub><msub><mi>t<\/mi><mi>P<\/mi><\/msub><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">c = \\frac{\\ell_P}{t_P}<\/annotation><\/semantics><\/math><\/p><p><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>We get:<\/p><p style=\"text-align: center\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>m<\/mi><mo>=<\/mo><mfrac><msub><mi>m<\/mi><mn>0<\/mn><\/msub><msqrt><mrow><mn>1<\/mn><mo>\u2212<\/mo><mfrac><mrow><msup><mi>v<\/mi><mn>2<\/mn><\/msup><msubsup><mi>t<\/mi><mi>P<\/mi><mn>2<\/mn><\/msubsup><\/mrow><msubsup><mi mathvariant=\"normal\">\u2113<\/mi><mi>P<\/mi><mn>2<\/mn><\/msubsup><\/mfrac><\/mrow><\/msqrt><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">m = \\frac{m_0}{\\sqrt{1 &#8211; \\frac{v^2 t_P^2}{\\ell_P^2}}}<\/annotation><\/semantics><\/math><\/p><p><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"msupsub\"><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>The formula remains mathematically identical\u2014the empirical predictions don't change one iota. However, its physical meaning does.<\/p><ul><li>m\u2080 \u2192 podstawowe obci\u0105\u017cenie informacyjne solitonu w spoczynku (\u03c1\u2080)<\/li><li>v \u2192 pr\u0119dko\u015b\u0107 propagacji wzorca przez sie\u0107 planxeli<\/li><li>\u2113_P \u2192 jednostkowy krok synchronizacji przestrzennej<\/li><li>t_P \u2192 elementarny takt przetwarzania<\/li><\/ul><p class=\"break-words last:mb-0\" dir=\"auto\">When a soliton propagates at a speed close to <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>c<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">c<\/annotation><\/semantics><\/math>, the pattern must be updated almost every Planck cycle. To maintain stability, the network must process an increasing amount of information in each cycle \u2013 the soliton \"swells\" with information (<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>\u03c1<\/mi><mtext>eff<\/mtext><\/msub><mo>&gt;<\/mo><msub><mi>\u03c1<\/mi><mn>0<\/mn><\/msub><\/mrow><\/semantics><\/math>).<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">Effective mass<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>m<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">m<\/annotation><\/semantics><\/math>is a measure of this additional burden. With\u00a0<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>v<\/mi><mo>\u2192<\/mo><mi>c<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">v \\to c<\/annotation><\/semantics><\/math> the denominator tends to zero:<\/p><p style=\"text-align: center\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msqrt><mrow><mn>1<\/mn><mo>\u2212<\/mo><mfrac><mrow><msup><mi>v<\/mi><mn>2<\/mn><\/msup><msubsup><mi>t<\/mi><mi>P<\/mi><mn>2<\/mn><\/msubsup><\/mrow><msubsup><mi mathvariant=\"normal\">\u2113<\/mi><mi>P<\/mi><mn>2<\/mn><\/msubsup><\/mfrac><\/mrow><\/msqrt><mo>\u2192<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\sqrt{1 &#8211; \\frac{v^2 t_P^2}{\\ell_P^2}} \\to 0<\/annotation><\/semantics><\/math><\/p><p class=\"break-words last:mb-0\" dir=\"auto\">The cost of synchronization becomes infinite \u2013 the network cannot process enough information in a finite clock cycle to maintain a massive pattern at maximum propagation speed.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">Only patterns about <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>\u03c1<\/mi><mn>0<\/mn><\/msub><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\">\\rho_0 = 0<\/annotation><\/semantics><\/math> (patterns without rest mass, e.g. photons; gluons in the limit of asymptotic freedom) achieve <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>v<\/mi><mo>=<\/mo><mi>c<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">v = c<\/annotation><\/semantics><\/math> at no additional cost.<\/p><h4 class=\"text-xl\" dir=\"auto\"><strong class=\"font-semibold\">Dirac equation and spinors<\/strong><\/h4><p class=\"break-words last:mb-0\" dir=\"auto\">The Dirac equation describes fermions (electrons, quarks) with spin 1\/2:<\/p><p style=\"text-align: center\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>i<\/mi><mi mathvariant=\"normal\">\u210f<\/mi><msup><mi>\u03b3<\/mi><mi>\u03bc<\/mi><\/msup><msub><mi mathvariant=\"normal\">\u2202<\/mi><mi>\u03bc<\/mi><\/msub><mi>\u03c8<\/mi><mo>\u2212<\/mo><mi>m<\/mi><mi>c<\/mi><mi>\u03c8<\/mi><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\"> i \\hbar \\gamma^\\mu \\partial_\\mu \\psi &#8211; m c \\psi = 0 <\/annotation><\/semantics><\/math><\/p><p class=\"break-words last:mb-0\" dir=\"auto\">In the classical interpretation, this is a relativistic equation for the evolution of the wave function of a point particle. In the Maya model, however, it does not describe the motion of an object in a fixed space, but rather the condition for the coherent evolution of a stable information pattern in a discrete network of planxels.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">After rewriting the fundamental constants into architectural parameters:<\/p><p style=\"text-align: center\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi mathvariant=\"normal\">\u210f<\/mi><mo>=<\/mo><msub><mi>E<\/mi><mi>P<\/mi><\/msub><msub><mi>t<\/mi><mi>P<\/mi><\/msub><mo separator=\"true\">,<\/mo><mspace width=\"2em\"><\/mspace><mi>c<\/mi><mo>=<\/mo><mfrac><msub><mi mathvariant=\"normal\">\u2113<\/mi><mi>P<\/mi><\/msub><msub><mi>t<\/mi><mi>P<\/mi><\/msub><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\"> \\hbar = E_P t_P, \\qquad c = \\frac{\\ell_P}{t_P} <\/annotation><\/semantics><\/math><\/p><p><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><br \/><\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"msupsub\"><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span>we get:<\/p><p style=\"text-align: center\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>i<\/mi><mo stretchy=\"false\">(<\/mo><msub><mi>E<\/mi><mi>P<\/mi><\/msub><msub><mi>t<\/mi><mi>P<\/mi><\/msub><mo stretchy=\"false\">)<\/mo><msup><mi>\u03b3<\/mi><mi>\u03bc<\/mi><\/msup><msub><mi mathvariant=\"normal\">\u2202<\/mi><mi>\u03bc<\/mi><\/msub><mi>\u03c8<\/mi><mo>\u2212<\/mo><mi>m<\/mi><mrow><mo fence=\"true\">(<\/mo><mfrac><msub><mi mathvariant=\"normal\">\u2113<\/mi><mi>P<\/mi><\/msub><msub><mi>t<\/mi><mi>P<\/mi><\/msub><\/mfrac><mo fence=\"true\">)<\/mo><\/mrow><mi>\u03c8<\/mi><mo>=<\/mo><mn>0<\/mn><\/mrow><annotation encoding=\"application\/x-tex\"> i (E_P t_P) \\gamma^\\mu \\partial_\\mu \\psi &#8211; m \\left( \\frac{\\ell_P}{t_P} \\right) \\psi = 0 <\/annotation><\/semantics><\/math><\/p><p class=\"break-words last:mb-0\" dir=\"auto\">This notation does not change the mathematics of the equation, but reveals its physical meaning in the M\u0101y\u0101 language.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">The first term describes the rate of local change in the phase and amplitude of the pattern in the network \u2014 that is, the cost of maintaining consistent information evolution over time. The second term encodes the computational burden resulting from the existence of a stable soliton, which must be compensated for at each synchronization cycle.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">The Dirac equation is therefore not a motion instruction, but a condition of equilibrium: only such patterns <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>\u03c8<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\psi<\/annotation><\/semantics><\/math>, for which the cost of phase locking and the cost of mass stability are in balance, can exist as stable fermions.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">Spin 1\/2 is not a geometric property or classical angular momentum. It is a topological property of the pattern. A spinor describes a phase resonance that, after a rotation by <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mn>2<\/mn><mi>\u03c0<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">2\\pi<\/annotation><\/semantics><\/math> does not return to its initial state - it requires a full rotation <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mn>4<\/mn><mi>\u03c0<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">4\\pi<\/annotation><\/semantics><\/math>This means that a fermion is a topological defect whose structure cannot be continuously deformed to a trivial state.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">In a discrete planxel network, this half-integer wrapping number is topologically protected. It cannot be \"unwrapped\" without destroying the pattern. In this sense, fermions are stable topological solitons, and the Dirac equation describes the conditions of their existence, not their trajectories.<\/p><h3 class=\"text-xl\" dir=\"auto\"><strong class=\"font-semibold\">Fermion generations<\/strong><\/h3><p class=\"break-words last:mb-0\" dir=\"auto\">The three generations of leptons and quarks (electron\/muon\/tau, u\/d, c\/s, t\/b) are not a random repetition. They are levels of complexity of the soliton pattern.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">The lighter generations (first) are simple, minimal solitons \u2013 low <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>\u03c1<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\rho<\/annotation><\/semantics><\/math>, easy to synchronize. The heavier ones (third, e.g. top quark) are highly complex, multi-layered resonances \u2013 huge <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>\u03c1<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\rho<\/annotation><\/semantics><\/math>, difficult to maintain (hence the extreme instability of the top).<\/p><h3 class=\"text-xl\" dir=\"auto\"><strong class=\"font-semibold\">Higgs boson<\/strong><\/h3><p class=\"break-words last:mb-0\" dir=\"auto\">In M\u0101y\u0101, there is no separate Higgs field filling space. The Higgs mechanism is an emergent effect of the collective loading of the lattice by all fermionic solitons. Mass is not \"imparted\" by the field; it is the cost of the stability of the pattern in the loaded lattice.<\/p><h4 class=\"text-xl\" dir=\"auto\"><strong class=\"font-semibold\">Interactions as modes of synchronization<\/strong><\/h4><p class=\"break-words last:mb-0\" dir=\"auto\">Electromagnetism, the weak force, and the strong force are not exchanges of intermediary particles. They are different modes of phase synchronization correction between solitons.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">Electric charge is phase asymmetry <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>\u03b8<\/mi><\/mrow><annotation encoding=\"application\/x-tex\">\\theta<\/annotation><\/semantics><\/math> \u2013 solitons of different phase \u201cfeel\u201d the synchronization voltage (EM field). The color of the quarks is the multidimensional phase in SU(3) \u2013 the synchronization mode in the strong interaction.<\/p><h4><b>Physics as the Game of Life: Particles as Stable Defects<\/b><\/h4><p>The key intuition of our theory is the similarity of the fundamental network to <b>cellular automaton<\/b>, such as the famous\u00a0<i>Game of Life<\/i>\u00a0<b>\"Rules\" are fundamental laws of state updating<\/b>\u00a0(bit\/cycle, golden angle rotation, Euler's identity).\u00a0<b>stable or periodically oscillating structures<\/b>, called\u00a0<i>, patterns<\/i>\u00a0or\u00a0<i>spaceships<\/i>.<br \/>Similarly in\u00a0<b>Code Reality Theory (M\u0101y\u0101)<\/b>:<\/p><ul><li><b>The \"board\" is a discreet grid<\/b>\u00a0with a side of Planck length.<\/li><li class=\"translation-block\"><b>\"Rules\" are fundamental laws of state updating<\/b>\u00a0(bit\/cycle, golden angle rotation, Euler's identity).<\/li><li><b>\u201cElementary particles\u201d (electron, quark, photon) are nothing more than stable or metastable patterns \u2013 phase defects<\/b>\u00a0\u2013 that emerge and persist in this dynamic network.<\/li><\/ul><p class=\"break-words last:mb-0\" dir=\"auto\">An electron can then be viewed as a small, stable \"block\" or \"beehive\" that travels across the board, retaining its identity. The top quark, being the heaviest, would resemble a more complex \"glider\" or \"sailing ship,\" requiring more lattice energy to maintain its structure. A photon, on the other hand, is a simple, propagating impulse\u2014like a \"beacon light\" moving across the grid.<br \/>Physical forces (electromagnetism, strong and weak interactions) are, in this view, emergent effects of the way these patterns interact with each other and with the lattice background. For example, energy exchange between two defects can manifest as attraction or repulsion.<br \/>This approach radically changes the perspective: Particle properties (mass, charge, spin) are not \"given\" to them, but are a description of the geometric and dynamical characteristics of their particular pattern in the lattice. Our work involves decoding which stable structures in the M\u0101y\u0101 lattice correspond to which Standard Model particles, and how all known laws of physics follow from their dynamics.<\/p><h4 class=\"text-xl\" dir=\"auto\"><strong class=\"font-semibold\">Summary \u2013 Particles as Network-Executing Code<\/strong><\/h4><p class=\"break-words last:mb-0\" dir=\"auto\">In M\u0101y\u0101, we don't ask \"what are particles made of?\" We ask \"what pattern of synchronization must be followed for a particle to exist?\"<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">An electron is not a \"ball\" with mass and charge. It is a persistent phase vortex whose stability requires a certain computational load on the network.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">Massive particles are not difficult to accelerate \"because they have more mass.\" They have more mass because their pattern requires a higher synchronization cost at a high propagation speed.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">There are no point objects. There are only persistent resonances in the code of reality.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">There are no particles moving through space. There is space emerging from the propagation of these resonances.<\/p>\t\t\r\n\t<\/div>\r\n<\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-05e6d65 elementor-widget elementor-widget-pxl_button\" data-id=\"05e6d65\" data-element_type=\"widget\" data-widget_type=\"pxl_button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div id=\"pxl-pxl_button-05e6d65-2653\" class=\"pxl-button pxl-atc-link\" data-wow-delay=\"ms\">\r\n    <a href=\"https:\/\/instytut-iskra.pl\/en\/mechanika-kwantowa\/\" class=\"btn pxl-icon-active btn-block-inline  btn-text-underline pxl-icon--right\">\r\n                    <span class=\"pxl--btn-icon\">\r\n                <i aria-hidden=\"true\" class=\"flaticon flaticon-right-arrow-long\"><\/i>                            <\/span>\r\n                <span class=\"pxl--btn-text\" data-text=\"Odkrywaj wi\u0119cej\">\r\n            Discover more        <\/span>\r\n    <\/a>\r\n<\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>Przedmowa Geneza teorii MAYA Problemy wsp\u00f3\u0142czesnej fizyki Dlaczego informacja? Jednostki Plancka Planxel Implikacje mechanizmu planxeli dla fizyki Reinterpretacja Wzor\u00f3w Czas w modelu M\u0101y\u0101 Przestrze\u0144 w modelu Maya Grawitacja Paradoksy Fizyki ALPHA odkodowana Cz\u0105stki w MAYA Mechanika kwantowa O emergencji matematyki Cz\u0105stki elementarne w teorii M\u0101y\u0101 Od obiekt\u00f3w do wzorc\u00f3w synchronizacji Przez ca\u0142y wiek XX fizyka [&hellip;]<\/p>","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-14959","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/instytut-iskra.pl\/en\/wp-json\/wp\/v2\/pages\/14959","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/instytut-iskra.pl\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/instytut-iskra.pl\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/instytut-iskra.pl\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/instytut-iskra.pl\/en\/wp-json\/wp\/v2\/comments?post=14959"}],"version-history":[{"count":58,"href":"https:\/\/instytut-iskra.pl\/en\/wp-json\/wp\/v2\/pages\/14959\/revisions"}],"predecessor-version":[{"id":15646,"href":"https:\/\/instytut-iskra.pl\/en\/wp-json\/wp\/v2\/pages\/14959\/revisions\/15646"}],"wp:attachment":[{"href":"https:\/\/instytut-iskra.pl\/en\/wp-json\/wp\/v2\/media?parent=14959"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}