{"id":14628,"date":"2025-12-26T13:35:39","date_gmt":"2025-12-26T12:35:39","guid":{"rendered":"http:\/\/instytut-iskra.pl\/?page_id=14628"},"modified":"2026-01-08T13:46:35","modified_gmt":"2026-01-08T12:46:35","slug":"czas-w-modelu-maya","status":"publish","type":"page","link":"https:\/\/instytut-iskra.pl\/en\/czas-w-modelu-maya\/","title":{"rendered":"Time in the M\u0101y\u0101 Model"},"content":{"rendered":"<div data-elementor-type=\"wp-page\" data-elementor-id=\"14628\" class=\"elementor elementor-14628\">\n\t\t\t\t<div class=\"elementor-element elementor-element-bc31c14 e-flex e-con-boxed e-con e-parent\" data-id=\"bc31c14\" data-element_type=\"container\">\t\t\t<div class=\"e-con-inner\">\r\n\t\t<div class=\"elementor-element elementor-element-37b0e40 e-con-full e-flex e-con e-child\" data-id=\"37b0e40\" data-element_type=\"container\">\t\t<div class=\"elementor-element elementor-element-b9b8ec1 elementor-widget elementor-widget-pxl_menu\" data-id=\"b9b8ec1\" 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-5bdb7fa e-con-full e-flex e-con e-child\" data-id=\"5bdb7fa\" data-element_type=\"container\">\t\t<div class=\"elementor-element elementor-element-8c05728 elementor-widget elementor-widget-pxl_heading\" data-id=\"8c05728\" 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-8c05728-3957\" class=\"pxl-heading px-sub-title-default-style\">\r\n\t<div class=\"pxl-heading--inner\">\r\n\t\t\r\n\t\t<h3 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\tTime in the M\u0101y\u0101 Model \u2013 From Continuous Assumption to Emergent Process\t\r\n\t\t\t\t\t\r\n\r\n\t\t\t<\/span>\r\n\t\t<\/h3>\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-160ea4b elementor-widget elementor-widget-pxl_text_editor\" data-id=\"160ea4b\" 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<p class=\"break-words last:mb-0\" dir=\"auto\">One of the most fundamental, yet least contested, assumptions of modern physics is the treatment of time as a continuous, universal coordinate\u2014a kind of background in which all events are \"embedded.\" Classical physics, and later the theory of relativity, treated time as a smooth and infinitely divisible quantity. Even in general relativity, where time loses its absolute character and intertwines with space into four-dimensional spacetime, it remains a continuous entity: curved and relative, but devoid of intervals or graininess.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">Quantum mechanics has revolutionized almost all fundamental concepts of physics. Energy, momentum, angular momentum, and even position have lost their classical status and been subordinated to the principles of quantization and uncertainty. <strong class=\"font-semibold\">Time, however, remained an exception<\/strong>. In the formalism of quantum mechanics, it is neither an observable nor an operator, but an external parameter\u2014classical, continuous, and untouched by quantum fluctuations. This is not because its quantization has been ruled out, but because no coherent language or mechanism has been found to allow for its meaningful implementation. The very question \"is time discrete?\" proves difficult to formulate unambiguously within the current theoretical framework.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">Physics, paradoxically, therefore does not know what time is in its essence. It describes its manifestations and consequences \u2014 time dilation, the entropy arrow, causal relations \u2014 but does not provide an ontological explanation of its nature. Time appears as input to the theory: a coordinate relative to which processes occur, not an entity requiring its own explanation.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">It is significant that physics has established a fundamental time scale below which the classical concept of time loses its meaning \u2013 <strong class=\"font-semibold\">Planck time<\/strong><\/p><p style=\"text-align: center\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>t<\/mi><mi>P<\/mi><\/msub><mo>\u2248<\/mo><mn>5<\/mn><mo lspace=\"0em\" rspace=\"0em\" separator=\"true\">,<\/mo><mn>391<\/mn><mo>\u00d7<\/mo><mn>1<\/mn><msup><mn>0<\/mn><mrow><mo>\u2212<\/mo><mn>44<\/mn><\/mrow><\/msup><mtext>\u00a0<\/mtext><mi mathvariant=\"normal\">s<\/mi><\/mrow><annotation encoding=\"application\/x-tex\"> t_P \\approx 5{,}391 \\times 10^{-44}\\ \\mathrm{s} <\/annotation><\/semantics><\/math><\/p><p>Yet, this scale has not been incorporated into any coherent, mechanistic description of time as a process or structure. It is most often interpreted as a limit to the applicability of known theories or a cognitive barrier, rather than as a trace of a deeper dynamic from which time might emerge.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">Equally intriguing is the problem of the <strong class=\"font-semibold\">arrows of time<\/strong> \u2013 why does time flow in one direction, from the past to the future? Physics has a statistical explanation (increase in entropy in closed systems), but there is no consensus on the fundamental cause. Why did the universe begin in a state of low entropy? Why are processes irreversible at the microscopic level, even though fundamental laws (e.g., Schr\u00f6dinger's equations) are time-reversible? This is one of the greatest unresolved questions\u2014physics describes the arrow of time but does not explain its origin.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">In M\u0101y\u0101, time ceases to be an assumption. It becomes <strong class=\"font-semibold\">emergent effect<\/strong> of the simple calculation mechanism.<\/p><h4 class=\"\" dir=\"auto\">Time as a counter for local update cycles<\/h4><p class=\"break-words last:mb-0\" dir=\"auto\">In the planxel model, time is not a primordial entity or a continuous continuum. It is a <strong class=\"font-semibold\">counter of completed update cycles<\/strong> in planxels. Each tick of Planck time <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>t<\/mi><mi>P<\/mi><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">t_P<\/annotation><\/semantics><\/math> is one complete Eulerian cycle in the planxel\u2014a closed operation of state processing and synchronization. The sequence of these closed cycles creates what we perceive as the passage of time. <strong class=\"font-semibold\">A single local Planck cycle alone does not \"last\" time<\/strong> \u2013 is a basic, indivisible operation. Only <strong class=\"font-semibold\">next completed cycles<\/strong> create time \u2013 like successive frames of a film creating the impression of movement.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\"><strong class=\"font-semibold\">An analogy for simplicity (in a vacuum):<\/strong> Let us assume, figuratively, that each individual Planck tick corresponds to a step of 1 cm \"length\" - this is not a literal spatial length, but a convenient way of visualizing the local updating rhythm.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">Near a massive star \u2013 due to the higher information load \u2013 the same update cycle requires more processing, so its effective \u201cstep\u201d becomes longer, e.g. to 5 cm.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">If 10 such ticks occur in a second in a vacuum (10 \u00d7 1 cm), then for an observer in a vacuum, after one second on the star only 2 ticks have passed (2 \u00d7 5 cm = 10 cm of \"processed reality\").<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">This is what physicists call time dilation \u2013 only they didn't know it was <strong class=\"font-semibold\">extension of the local beat<\/strong> caused by processing load. This same analogy also beautifully explains gravitational geodesic effects: particle paths through space must take the same \"elongated\" steps, which manifests as curvature of the paths\u2014exactly as predicted by general relativity!<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">The arrow of time stems from the irreversibility of the process itself: each cycle records a new state and overwrites the old one \u2013 there is no going back. It is not the statistical fluctuation of entropy that is primary \u2013 it is <strong class=\"font-semibold\">structural irreversibility of the record<\/strong> in a discrete computational process.<\/p><p class=\"break-words last:mb-0\" dir=\"auto\">The key thing is that <strong class=\"font-semibold\">time is local<\/strong>. The rhythm of the cycles is not universal \u2013 it depends on the local information load of the planxel:<\/p><ul class=\"marker:text-secondary\" dir=\"auto\"><li class=\"break-words whitespace-pre-wrap [&amp;&gt;ul]:whitespace-normal [&amp;&gt;ol]:whitespace-normal\">In low-load areas (space vacuum) \u2013 cycles run quickly and evenly \u2013 time flows \u201cnormally\u201d.<\/li><li class=\"break-words whitespace-pre-wrap [&amp;&gt;ul]:whitespace-normal [&amp;&gt;ol]:whitespace-normal translation-block\">In areas of high load (near mass, in a gravitational field or at relativistic speeds) \u2013 the planxel must process more information in synchronization with its neighbors. The load regulator slows down the state correction, which <strong class=\"font-semibold\">increases the local Planck time clock (<span class=\"katex\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mrow><mi>P<\/mi><mo separator=\"true\">,<\/mo><mrow><mi mathvariant=\"normal\">e<\/mi><mi mathvariant=\"normal\">f<\/mi><mi mathvariant=\"normal\">f<\/mi><\/mrow><\/mrow><\/msub><mo>&gt;<\/mo><msub><mi>t<\/mi><mi>P<span style=\"font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif;font-size: 16px\">\u00a0<\/span><\/mi><\/msub><\/mrow><\/semantics><\/math><\/span><\/span><\/span><span class=\"katex\"><span class=\"katex\"><span class=\"katex\"><span class=\"katex\"><span class=\"katex\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi><span style=\"font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif;font-size: 16px\">)<\/span><\/mi><\/msub><\/mrow><\/semantics><\/math><\/mi><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">t_{P,\\mathrm{eff}} &gt; t_P<\/annotation><\/semantics><\/math><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/li><\/ul><p class=\"break-words last:mb-0 translation-block\" dir=\"auto\">This slowing down of the synchronization rhythm manifests itself as <strong class=\"font-semibold\">local time dilation<\/strong> \u2013 exactly as described by the general theory of relativity in the Schwarzschild metric:<\/strong><\/p><p style=\"text-align: center\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>d<\/mi><mi>\u03c4<\/mi><mo>=<\/mo><mi>d<\/mi><mi>t<\/mi><msqrt><mrow><mn>1<\/mn><mo>\u2212<\/mo><mfrac><mrow><mn>2<\/mn><mi>G<\/mi><mi>M<\/mi><\/mrow><mrow><mi>r<\/mi><msup><mi>c<\/mi><mn>2<\/mn><\/msup><\/mrow><\/mfrac><\/mrow><\/msqrt><\/mrow><annotation encoding=\"application\/x-tex\"> d\\tau = dt \\sqrt{1 &#8211; \\frac{2GM}{rc^2}} <\/annotation><\/semantics><\/math><\/p><p class=\"break-words last:mb-0 translation-block\" dir=\"auto\">Physics has known about this effect for over a century, but <strong class=\"font-semibold\">did not know its mechanism<\/strong>. Einstein described it geometrically (curvature of space-time), but he did not explain why time can flow differently in different places and why in this mathematical form.<\/strong><\/p><p class=\"break-words last:mb-0 translation-block\" dir=\"auto\">In M\u0101y\u0101, the mechanism is simple: time is not an abstract coordinate, but a <strong class=\"font-semibold\">local processing clock<\/strong>. Where there is more data to synchronize, the clock ticks slower.<\/strong><\/p><p class=\"break-words last:mb-0\" dir=\"auto\">When we rewrite the Schwarzschild metric in Planck units (G and c as \u2113_P\/t_P relations):<\/p><p style=\"text-align: center\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>d<\/mi><mi>\u03c4<\/mi><mo>=<\/mo><mi>d<\/mi><mi>t<\/mi><msqrt><mrow><mn>1<\/mn><mo>\u2212<\/mo><mfrac><mrow><mn>2<\/mn><mi>m<\/mi><msubsup><mi mathvariant=\"normal\">\u2113<\/mi><mi>P<\/mi><mn>2<\/mn><\/msubsup><\/mrow><mrow><msub><mi>m<\/mi><mi>P<\/mi><\/msub><mi>r<\/mi><msubsup><mi>t<\/mi><mi>P<\/mi><mn>2<\/mn><\/msubsup><\/mrow><\/mfrac><\/mrow><\/msqrt><\/mrow><annotation encoding=\"application\/x-tex\"> d\\tau = dt \\sqrt{1 &#8211; \\frac{2 m \\ell_P^2}{m_P r t_P^2}} <\/annotation><\/semantics><\/math><\/p><p class=\"translation-block\">The constants \"disappear\" \u2013 the mechanism remains: more load \u2192 longer local clock speed \u2192 slower time.<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi><\/mi><\/mrow><annotation encoding=\"application\/x-tex\">d\\tau \/ dt = \\sqrt{1 \u2013 2 \\frac{M}{m_P} \\frac{\\ell_P}{r}}<\/annotation><\/semantics><\/math><\/strong><\/p><h4 class=\"\" dir=\"auto\">A precise example: time dilation on the Earth's surface<\/h4><p><strong class=\"font-semibold\">Fundamental constants (exact values):<\/strong><\/p><ul class=\"marker:text-secondary\" dir=\"auto\"><li class=\"break-words whitespace-pre-wrap [&amp;&gt;ul]:whitespace-normal [&amp;&gt;ol]:whitespace-normal\">Planck length: <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi mathvariant=\"normal\">\u2113<\/mi><mi>P<\/mi><\/msub><mo>\u2248<\/mo><mn>1<\/mn><mo separator=\"true\">,<\/mo><mn>616<\/mn><mo>\u00d7<\/mo><mn>1<\/mn><msup><mn>0<\/mn><mrow><mo>\u2212<\/mo><mn>35<\/mn><\/mrow><\/msup><\/mrow><\/semantics><\/math><\/span><\/span>\u00a0m<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi mathvariant=\"normal\"><\/mi><\/msub><\/mrow><\/semantics><\/math><\/li><li class=\"break-words whitespace-pre-wrap [&amp;&gt;ul]:whitespace-normal [&amp;&gt;ol]:whitespace-normal\"><span class=\"katex\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi mathvariant=\"normal\"><span style=\"font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif\">Planck time: <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>t<\/mi><mi>P<\/mi><\/msub><mo>\u2248<\/mo><mn>5<\/mn><mo separator=\"true\">,<\/mo><mn>391<\/mn><mo>\u00d7<\/mo><mn>1<\/mn><msup><mn>0<\/mn><mrow><mo>\u2212<\/mo><mn>44<\/mn><\/mrow><\/msup><\/mrow><\/semantics><\/math>\u00a0<\/span><\/mi><\/msub><\/mrow><\/semantics><\/math><\/span><\/span><\/span><span class=\"katex\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi><span style=\"font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif\">s<\/span><\/mi><\/msub><\/mrow><\/semantics><\/math><\/span><\/span><\/span><\/li><li class=\"break-words whitespace-pre-wrap [&amp;&gt;ul]:whitespace-normal [&amp;&gt;ol]:whitespace-normal\">Planck mass: <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>m<\/mi><mi>P<\/mi><\/msub><mo>\u2248<\/mo><mn>2<\/mn><mo separator=\"true\">,<\/mo><mn>176<\/mn><mo>\u00d7<\/mo><mn>1<\/mn><msup><mn>0<\/mn><mrow><mo>\u2212<\/mo><mn>8<\/mn><\/mrow><\/msup><\/mrow><\/semantics><\/math><\/span><\/span> kg<span class=\"katex\"><span class=\"katex\"><span class=\"katex-mathml\"><br \/><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi><\/mi><\/msub><\/mrow><\/semantics><\/math><\/span><\/span><\/span><\/li><\/ul><p class=\"break-words last:mb-0\" dir=\"auto\"><strong class=\"font-semibold\">Earth parameters:<\/strong><\/p><ul class=\"marker:text-secondary\" dir=\"auto\"><li class=\"break-words whitespace-pre-wrap [&amp;&gt;ul]:whitespace-normal [&amp;&gt;ol]:whitespace-normal\">Earth's mass: <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>M<\/mi><mo>\u2295<\/mo><\/msub><mo>\u2248<\/mo><mn>5<\/mn><mo separator=\"true\">,<\/mo><mn>972<\/mn><mo>\u00d7<\/mo><mn>1<\/mn><msup><mn>0<\/mn><mn>24<\/mn><\/msup><\/mrow><\/semantics><\/math><\/span><\/span> kg<\/li><li class=\"break-words whitespace-pre-wrap [&amp;&gt;ul]:whitespace-normal [&amp;&gt;ol]:whitespace-normal\">Mean radius of the Earth: <span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>r<\/mi><mo>\u2295<\/mo><\/msub><mo>\u2248<\/mo><mn>6<\/mn><mo separator=\"true\">,<\/mo><mn>371<\/mn><mo>\u00d7<\/mo><mn>1<\/mn><msup><mn>0<\/mn><mn>6<\/mn><\/msup><\/mrow><\/semantics><\/math><\/span><\/span> m<span class=\"katex\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi><\/mi><\/msub><\/mrow><\/semantics><\/math><\/span><\/span><\/span><\/li><\/ul><p class=\"break-words last:mb-0\" dir=\"auto\"><strong class=\"font-semibold\">Key calculations in Planck units:<\/strong><\/p><ol class=\"marker:text-secondary\" dir=\"auto\"><li class=\"break-words whitespace-pre-wrap [&amp;&gt;ul]:whitespace-normal [&amp;&gt;ol]:whitespace-normal\">Ratio of Earth mass to Planck mass:\u00a0<span class=\"katex\"><span class=\"katex\"><span class=\"katex\"><span class=\"katex-mathml\"><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>M<\/mi><mo>\u2295<\/mo><\/msub><mi mathvariant=\"normal\">\/<\/mi><msub><mi>m<\/mi><mi>P<\/mi><\/msub><mo>\u2248<\/mo><mn>2<\/mn><mo separator=\"true\">,<\/mo><mn>74<\/mn><mo>\u00d7<\/mo><mn>1<\/mn><msup><mn>0<\/mn><mn>32<\/mn><\/msup><\/mrow><\/semantics><\/math><\/span><\/span><\/span><\/span><\/li><li class=\"break-words whitespace-pre-wrap [&amp;&gt;ul]:whitespace-normal [&amp;&gt;ol]:whitespace-normal\">\u00a0Stosunek d\u0142ugo\u015bci Plancka do promienia Ziemi: <span class=\"katex\"><span class=\"katex\"><span class=\"katex\"><span class=\"katex\"><span class=\"katex\"><span class=\"katex-mathml\"><br \/><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi mathvariant=\"normal\">\u2113<\/mi><mi>P<\/mi><\/msub><mi mathvariant=\"normal\">\/<\/mi><msub><mi>r<\/mi><mo>\u2295<\/mo><\/msub><mo>\u2248<\/mo><mn>2<\/mn><mo separator=\"true\">,<\/mo><mn>54<\/mn><mo>\u00d7<\/mo><mn>1<\/mn><msup><mn>0<\/mn><mrow><mo>\u2212<\/mo><mn>42<\/mn><\/mrow><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">\\ell_P \/ r_\\oplus \\approx 2,54 \\times 10^{-42}<\/annotation><\/semantics><\/math><\/span><\/span><\/span><\/span><\/span><\/span><\/li><li class=\"break-words whitespace-pre-wrap [&amp;&gt;ul]:whitespace-normal [&amp;&gt;ol]:whitespace-normal\">Key dimensionless load factor: <span class=\"katex\"><span class=\"katex\"><span class=\"katex\"><span class=\"katex\"><span class=\"katex\"><span class=\"katex-mathml\"><br \/><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mn>2<\/mn><mo>\u00d7<\/mo><mo stretchy=\"false\">(<\/mo><msub><mi>M<\/mi><mo>\u2295<\/mo><\/msub><mi mathvariant=\"normal\">\/<\/mi><msub><mi>m<\/mi><mi>P<\/mi><\/msub><mo stretchy=\"false\">)<\/mo><mo>\u00d7<\/mo><mo stretchy=\"false\">(<\/mo><msub><mi mathvariant=\"normal\">\u2113<\/mi><mi>P<\/mi><\/msub><mi mathvariant=\"normal\">\/<\/mi><msub><mi>r<\/mi><mo>\u2295<\/mo><\/msub><mo stretchy=\"false\">)<\/mo><mo>\u2248<\/mo><mn>1<\/mn><mo separator=\"true\">,<\/mo><mn>39<\/mn><mo>\u00d7<\/mo><mn>1<\/mn><msup><mn>0<\/mn><mrow><mo>\u2212<\/mo><mn>9<\/mn><\/mrow><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">2 \\times (M_\\oplus \/ m_P) \\times (\\ell_P \/ r_\\oplus) \\approx 1,39 \\times 10^{-9}<\/annotation><\/semantics><\/math><\/span><\/span><\/span><\/span><\/span><\/span><\/li><\/ol><p class=\"break-words last:mb-0\" dir=\"auto\"><strong class=\"font-semibold\">Effect on the local Planck time cycle:<\/strong><\/p><p class=\"break-words last:mb-0\" dir=\"auto\">In GTR: <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>d<\/mi><mi>\u03c4<\/mi><mi mathvariant=\"normal\">\/<\/mi><mi>d<\/mi><mi>t<\/mi><mo>=<\/mo><msqrt><mrow><mn>1<\/mn><mo>\u2212<\/mo><mi>x<\/mi><\/mrow><\/msqrt><\/mrow><\/semantics><\/math><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord sqrt\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span>, gdzie <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><mi>x<\/mi><mo>=<\/mo><mn>1<\/mn><mo separator=\"true\">,<\/mo><mn>39<\/mn><mo>\u00d7<\/mo><mn>1<\/mn><msup><mn>0<\/mn><mrow><mo>\u2212<\/mo><mn>9<\/mn><\/mrow><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">x = 1,39 \\times 10^{-9}<\/annotation><\/semantics><\/math><\/p><p class=\"break-words last:mb-0\" dir=\"auto\">Approximation for small x:<\/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><mi>x<\/mi><\/mrow><\/msqrt><mo>\u2248<\/mo><mn>1<\/mn><mo>\u2212<\/mo><mfrac><mi>x<\/mi><mn>2<\/mn><\/mfrac><mo>\u2248<\/mo><mn>1<\/mn><mo>\u2212<\/mo><mn>6<\/mn><mo lspace=\"0em\" rspace=\"0em\" separator=\"true\">,<\/mo><mn>95<\/mn><mo>\u00d7<\/mo><mn>1<\/mn><msup><mn>0<\/mn><mrow><mo>\u2212<\/mo><mn>10<\/mn><\/mrow><\/msup><\/mrow><annotation encoding=\"application\/x-tex\">\\sqrt{1 &#8211; x} \\approx 1 &#8211; \\frac{x}{2} \\approx 1 &#8211; 6{,}95 \\times 10^{-10}<\/annotation><\/semantics><\/math><\/p><p class=\"break-words last:mb-0\" dir=\"auto\"><strong class=\"font-semibold\">Interpretation in M\u0101y\u0101:<\/strong><\/p><ul class=\"marker:text-secondary\" dir=\"auto\"><li class=\"break-words whitespace-pre-wrap [&amp;&gt;ul]:whitespace-normal [&amp;&gt;ol]:whitespace-normal\">Time flows slower by a factor of \u2248 6.95 \u00d7 10\u207b\u00b9\u2070 (approx. 0.695 parts per billion).<\/li><li class=\"break-words whitespace-pre-wrap [&amp;&gt;ul]:whitespace-normal [&amp;&gt;ol]:whitespace-normal translation-block\"><strong class=\"font-semibold\">Local Effective Tact:\u00a0<span class=\"katex\"><span class=\"katex\"><span class=\"katex\"><span class=\"katex\"><span class=\"katex\"><span class=\"katex-mathml\"><br><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi>t<\/mi><mrow><mi>P<\/mi><mo separator=\"true\">,<\/mo><mrow><mi mathvariant=\"normal\">e<\/mi><mi mathvariant=\"normal\">f<\/mi><mi mathvariant=\"normal\">f<\/mi><\/mrow><\/mrow><\/msub><mo>\u2248<\/mo><msub><mi>t<\/mi><mi>P<\/mi><\/msub><mo>\u00d7<\/mo><mo stretchy=\"false\">(<\/mo><mn>1<\/mn><mo>+<\/mo><mn>6<\/mn><mo separator=\"true\">,<\/mo><mn>95<\/mn><mo>\u00d7<\/mo><mn>1<\/mn><msup><mn>0<\/mn><mrow><mo>\u2212<\/mo><mn>10<\/mn><\/mrow><\/msup><mo stretchy=\"false\">)<\/mo><\/mrow><annotation encoding=\"application\/x-tex\">t_{P,\\mathrm{eff}} \\approx t_P \\times (1 + 6.95 \\times 10^{-10})<\/annotation><\/semantics><\/math><\/span><\/span><\/span><\/span><\/span><\/span> <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><semantics><mrow><msub><mi><\/mi><\/msub><\/mrow><\/semantics><\/math><\/strong><\/li><\/ul><p class=\"break-words last:mb-0\" dir=\"auto\">This is exactly the same as the gravitational time dilation on the Earth's surface according to GTR \u2013 a value known and measured, among others, in the GPS system.<\/p><h3 data-start=\"235\" data-end=\"287\">Why didn't physics see the discreteness of time?<\/h3><p data-start=\"289\" data-end=\"854\">Quantum mechanics quantized everything\u2014energy, momentum, angular momentum\u2014but not time. Why? Not because time \"resists\" quantization, but because throughout the development of physics, it was treated as a classical background: a coordinate at which quantization occurs, not an object requiring its own explanation. In the prevailing formalism, time is neither an observable nor an operator, but an external parameter relative to which the evolution of states is defined. In such language, the very question \"is time discrete?\" loses meaning before it is even posed.<\/p><p data-start=\"856\" data-end=\"1260\">The lack of time quantization was therefore not a data gap or a theoretical oversight. It was a consequence of the accepted ontology. For over a hundred years, physics had assumed that <strong data-start=\"1019\" data-end=\"1046\">something happens in time<\/strong>, instead of asking, <strong data-start=\"1065\" data-end=\"1119\">what is time itself if anything can happen<\/strong>You don't quantize coordinates \u2014 you quantize processes. As long as time remains background, it can have no structure or elementary step.<\/p><p data-start=\"1262\" data-end=\"1702\">In M\u0101y\u0101, the starting point is reversed. Time is not the arena of events, but their effect. It is the number of completed cycles of local processing in planxels. Here, Planck time does not serve as a limit of cognition or a conventional unit, but rather as a physically significant tick of a computational clock \u2014 the smallest possible operation. There is no shorter time step, because it is impossible to execute a fraction of a synchronization cycle.<\/p><p data-start=\"1704\" data-end=\"2128\">This approach naturally explains why time always appears continuous in quantum experiments. The resolution of 10\u207b\u2074\u2074 s is so extreme that any real measurement encompasses not a single tick, but an astronomical number of cycles. An observer never measures a single elementary time step\u2014they always average billions of billions of operations. Time continuity is therefore not an ontological fact, but a statistical property of the rendering.<\/p><p data-start=\"2130\" data-end=\"2461\">In this sense, discrete time could not be detected directly, because it is not a feature of observable phenomena, but a feature of the mechanism that generates them. Physics saw the effects of rhythm, but not the clock itself. The lack of a \"time quantum\" was not a failure of the theory, but a signal that the question was posed from the wrong level of description.<\/p><p data-start=\"2463\" data-end=\"2630\">Time appears continuous not because it is, but because we only experience a rendering resulting from an incomparably faster, discrete rhythm of execution.<\/p><h3 data-start=\"428\" data-end=\"461\">Consequences for the physics of time<\/h3><p data-start=\"463\" data-end=\"662\">The acceptance of time as an emergent counter of local update cycles leads to a profound reorganization of concepts that physics has so far used in a fragmented and often paradoxical way.<\/p><p data-start=\"664\" data-end=\"1062\"><strong data-start=\"664\" data-end=\"682\">The arrow of time<\/strong> is no longer derived from entropy itself. Its primary source is not the statistical asymmetry of macrostates, but the structural irreversibility of the process: each cycle of updating records a new state and overwrites the previous one. Entropy remains a valid macroscopic description, but it becomes a secondary phenomenon \u2013 a statistical shadow of the fundamental, unidirectional dynamics of cycles.<\/p><p data-start=\"1064\" data-end=\"1495\"><strong data-start=\"1064\" data-end=\"1083\">Time dilation<\/strong> no longer requires an ontological curvature of spacetime. The geometry of general relativity retains full formal correctness, but reveals itself as an efficient description of consequences. The mechanism is a slowing down of the local processing clock: where the planxel must process more information as part of synchronization, a single tick takes longer, and the number of completed cycles per reference unit decreases.<\/p><p data-start=\"1497\" data-end=\"1880\"><strong data-start=\"1497\" data-end=\"1532\">Unification with quantum mechanics<\/strong> occurs at the level of ontology, not formalism. The problem of \"classical time in quantum theory\" disappears because time is no longer an external parameter. It is a discrete, physically significant execution time, common to both quantum and gravitational dynamics. Quantum evolution does not occur <em data-start=\"1836\" data-end=\"1846\">w czasie<\/em> &#8211; zachodzi <em data-start=\"1858\" data-end=\"1879\">in subsequent cycles<\/em>.<\/p><p data-start=\"1882\" data-end=\"2370\"><strong data-start=\"1882\" data-end=\"1969\">The problem of time travel and the related causal paradoxes also disappears.<\/strong>, such as the grandfather paradox. In M\u0101y\u0101, going back in time is physically impossible because there is no mechanism for undoing update cycles. Each tick overwrites the previous state of the network and leaves no access to earlier configurations. The past is not a region of space-time to which one can \"return,\" but a set of states that have ceased to exist as an active rendering configuration.<\/p><p data-start=\"2372\" data-end=\"2767\">In this light, solutions of the General Theory of Relativity that admit closed timelike curves appear not as real physical possibilities, but as artifacts of a geometric formalism that ignores the discrete, irreversible nature of execution. Time travel paradoxes therefore require no additional protective rules or \"chronological censorship\"\u2014they disappear ontologically along with the assumption of continuous time.<\/p><p data-start=\"2769\" data-end=\"3070\">From this perspective, it becomes clear that physics has long operated with correct formulas describing time, but their significance has not been recognized. These equations do not provide a smooth operation of an abstract quantity, but rather the relationships between cycle counters in a discrete, locally clocked processing network.<\/p><p data-start=\"3072\" data-end=\"3163\">This is M\u0101y\u0101: time does not \u201cflow\u201d.<br data-start=\"3104\" data-end=\"3107\" \/>Time is counted \u2013 beat by beat, planxel by planxel<\/p><h3 data-start=\"1100\" data-end=\"1148\">Originality Clause (Time as a Mechanism)<\/h3><p data-start=\"1150\" data-end=\"1453\">M\u0101y\u0101 theory does not claim primacy in the very idea that time can be emergent, local, or connected to microscopic dynamics. These concepts have appeared previously in various strands of theoretical physics and the philosophy of time, but usually in the form of an ontological interpretation or postulate.<\/p><p data-start=\"1455\" data-end=\"1865\">The originality of M\u0101y\u0101's approach lies in the first consistent treatment of time as <strong data-start=\"1539\" data-end=\"1590\">counter of completed local execution cycles<\/strong> and on the identification of Planck time not as the limit of knowledge, but as a physically meaningful tick of an elementary processing operation. Time here is not a coordinate or parameter of evolution, but the result of a discrete, irreversible process of state updating in planxels.<\/p><p data-start=\"1867\" data-end=\"2227\">In this sense, the known equations of general relativity and quantum mechanics are not modified but read mechanically: time dilation, the arrow of time, and the locality of rhythm cease to be geometric or statistical facts, but are revealed as direct consequences of constraints and synchronizations in the computational architecture of reality.<\/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-1f46852 elementor-widget elementor-widget-pxl_button\" data-id=\"1f46852\" 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-1f46852-3546\" class=\"pxl-button pxl-atc-link\" data-wow-delay=\"ms\">\r\n    <a href=\"http:\/\/instytut-iskra.pl\/en\/przestrzen-w-modelu-maya\/\" 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>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 Czas w modelu M\u0101y\u0101 \u2013 od ci\u0105g\u0142ego za\u0142o\u017cenia do emergentnego procesu Jednym z najbardziej fundamentalnych, a zarazem najmniej kwestionowanych za\u0142o\u017ce\u0144 wsp\u00f3\u0142czesnej [&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-14628","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/instytut-iskra.pl\/en\/wp-json\/wp\/v2\/pages\/14628","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=14628"}],"version-history":[{"count":52,"href":"https:\/\/instytut-iskra.pl\/en\/wp-json\/wp\/v2\/pages\/14628\/revisions"}],"predecessor-version":[{"id":15178,"href":"https:\/\/instytut-iskra.pl\/en\/wp-json\/wp\/v2\/pages\/14628\/revisions\/15178"}],"wp:attachment":[{"href":"https:\/\/instytut-iskra.pl\/en\/wp-json\/wp\/v2\/media?parent=14628"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}