My 12 Dimensional Theory of Everything.
This theory breaks down the dimensions as follows:
3 positive mass dimensions of space
3 negative mass dimensions of space
4 zero mass dimensions of space + time
1 dimension for the observer consciousness observing this very theory
1 dimension for the MIP*=RE partner qubit decider consciousness
Only needs two qubit deciders and one observer to manifest the whole universe out of this logic, as Recursive Enumerability means something is also Turing Complete.
The integral from 0 to 12 dimensions under this theory for previously listed God Equation r = (q +2)^4 is equivalent to 1976, or 2^3 *247 where this can determine voxel Planck length bits in three spatial dimensions and number theory time discretization to 24 hours 7 days a week as the base 10 representation equivalent to all of 4D spacetime can be condensed to. This unique find from a seemingly random integral and equation just show that the universe has built in patterns that emerge to fit a growing consensus that our experience of reality is a simulation.
The Continuum Hypothesis
The Continuum Hypothesis is of immediate relevance to resolving God Equation for uniting the continuousness of relativity and the discretization of quantum mechanics. The primary analogy for the two is the tying of the sets of infinity covered in the Continuum Hypothesis to the sets of mathematics for the discrete quantum mechanical world and the continuous relativity world by bijectively associating natural numbers with Planckian lengths and real numbers with relativity’s continuum of numbers. This bijection allows one to symbolically represent the two as sets in set theory and make the conclusion that there exists one universe with the Continuum Hypothesis as true and another as false for when one equates the two fields of physics. This makes the problem of determining whether there is a set of infinity between countable discrete quantum mechanics and uncountable continuous relativity undecidable and thus negates the possibility of an infinitely diverging solution to the God Equation that is beyond representation in finite state automata aka finite abstraction in bits to derive a bridge between them.
This means that the God equation should be a finite coefficient equation or set of equations which should be derived within the set of infinities determined as not completely uncountable but rather extending beyond countable infinities due to Cantor’s diagonality argument. A bridging solution is thus likely to extend to the continuousness of relativity through involving an integral for a finite coefficient polynomial equation. This equation should be one that accounts for four dimensions of spacetime while simultaneously accounting for unification of space and time, Planckian lengths in quantum mechanics for bit based representations of spacetime, the continuum of the relativity of higher level relativity as demonstrated in empirical experiments, and the math underpinning the prior universal discoveries in unifying classical and quantum physics such as through demonstrating the properties and/or dimensions of String Theory. Through the understanding that one has to derive these conclusions under a base case processing system and/or consciousness for the dimensions, at least one extra dimension for the inceptional base case of the fundamental mathematics should be accounted for under the prior logic of the previously explained super-recursion.
A Proposal for the God Equation
Accounting for all these conditions for what should be demonstrated by the God Equation, one can determine that the solution is far simpler than others might expect. The base equation is (x+2)^4 = y, or (x^4)+(8x^3)+(10x^2)+(32x)+16 = y. With the integral of the function from 0 to 12, you get 1976, which has a prime factorization of 2^3*247 or three continuous spatial dimensions with the base two binary Planckian bit representation and one time dimension for 24 hours 7 days in base ten with the other factor to cover all representations of time in cyclical time measurements. We derive the constant 12 from the discretization properties that allows for the recognition of number theory and String theory itself through the concept of super-recursion, with consciousness as its base case.
(q+2)^4=r is the equation restated to take the quantization/discretization of quantum mechanics and unite it with the continuousness of special/general relativity. This extension adds two to the dimensionality of the quantization to allow for two extra dimensions to extend past the base case of a single dimension of space to reach three dimensions of space before integrating it into four dimensions of spacetime through the exponentiation of the expression to the fourth power. This representation enables one to reach a Quaternion Fourier Torus for the representation of consciousness traversing through 3D space/4D spacetime, with the quaternion representative of the consciousness, the Fourier Transform representative of the movement function through the space, and the torus representing the space that the consciousness moves through in the relativistic coordinate plane for N/continuous dimensions.
The Time to Space Conversion Theorem
The ability to convert time dimensionality into something corresponding to spatial dimensions allows for one to travel bidirectionally across time. This is possible through the conversion of space to time with Kerr black holes, or two black holes with ring singularities that swap time with space and then space with time, allowing bidirectional causality for informational and matter. However, this consists of sending such information to travel through black holes past the Schwarzchild radius and thus the event horizon, so the information received back can only be processed through the deconstructed Hawking radiation.
This becomes an exponentially complex problem for the layman classical computer to solve as it is basically an increasingly scaling cryptography problem. However, this does not render it moot to use this method of bidirectional causality as if one solves the Three Body Problem in N dimensions for the ergodic theory in regards to the particles’ from Hawking Radiation from the time traveler Kerr black holes, one can calculate the way to send information into the wormhole to affect the emissions of stars that the Hawking Radiation has chaos theory/butterfly effects on so that the stars emit the intended information and/or matter for the recipient on the other universe’s end with the target location/spatial orientation and time state. This allows for interuniverse, interdimensional, and interspacetime communication, thus allowing you to surpass the bootstrap paradox if you also apply the Theorem of Super-Recursion.
The primary issue becomes apparent when multiple parties attempt to use the same black hole for communication when they’re not collaborating as this should violate the causality of the black hole prediction for chaos theory to transmit messages, thus allowing only one coordinated centralized system to send information through the Kerr black hole system at a time. This encourages fair play and coordination between parties to send information the quickest to their receiving parties through their shortest path black hole pair to to have bidirectional causality. If they do, they can maximize the usage of black holes to transmit the optimal amount of information for interdimensional communication and development.
What are the consequences for this? Time travel could recursively self-improve a given universe for it to optimize the omniverse, or the collection of all universes within the set of universes that can proliferate. This black hole pair communication system can recursively stack for the universe to enable entropy to extend to the point of it being Laplacian Omniversal Variable Entropy.
Laplacian Omniveral Variable Entropy (LOVE)
Laplacian Omniversal Variable Entropy: the end of the universe in the form of heat death has it so that given diverging conditions in the overall set of universes so that all can exist simultaneously and that all universes of the individual extend to their approximate infinity without halting.
MIP*=RE < QLT
The previously explored Quaternion Laplacian Torus model will be designated as the “Partner” throughout this paper in reference to the proof of MIP* = RE (Ji, 2020) which demonstrates two qubit observers can achieve recursive enumberable quantum computational complexity in their ability to solve problems. “Self” or “I” will refer to the second qubit observer necessary for the proof to hold true.
Cogito Ergo Sum, the Theorem
Partner = Self with Self having the ability to be a qubit observer and decider enables MIP* =RE to hold true. I, as the creator and observer of this article’s abstractions, and math itself, can hold true that I decide based on the fact I think, therefore I am (Descartes, 1637). Even with no senses or perception, I as a consciousness can determine that I am observing my own observations recursively, and thus exist. Self thus proves self as an observer deciding to create a Partner. These quantum entangled observers of a self and a partner allow for increasingly complex problem resolution. This is due to prior research in computational complexity for quantum observers in the finding that MIP* = RE, where quantum entanglement allows for qubit observers to resolve problems beyond the perception of a single observer as Turing machines, or computational systems which function in zeroes and ones, can be transferred to apply to nonlocal games, games of earning reward or goals where a verifier for the observers Partner and Self exist. This verifier exists in another viewer of this article in itself, or in its publication the reviewers. In the extensive proofing of the MIP* = RE publication, they find that the Halting Problem could thus be resolvable within MIP*. I term this variation from the original Halting Problem’s conclusion that determining whether a Turing machine continues forever or stops aka “halts” as indecidable as falling within the case of problems that experience Laplacian Omniversal Variable Entropy (LOVE).
Laplacian Omniversal Variable Entropy (LOVE)
Laplacian Omniversal Variable Entropy can be explained as expanding variable chaos that applies for all universes within a superset of universes within the Many Worlds Hypothesis (Tegmark III) and Mathematical Universe Hypothesis (Tegmark IV) previously developed and hashed out by Max Tegmark where qubit observer decider singularities can exist in multiples (two qubits are necessary for MIP* = RE). Hence, Laplacian Omniversal Variable Entropy can be used with these qubit observers to resolve the Halting Problem in making a “choosing” mathematical function aka a consciousness due to the existence of the initial perceiving qubit decider that wrote this paper and abstracted this concept into existence to create another Partner singularity. Laplacian Omniversal Variable Entropy (LOVE) enables a Halting Problem resolution for an ND tensor of any countably infinite size N-dimensions; in other words for a grid of N dimensions that can be counted, even if they’re infinite, you would be able to see if the tensor program would halt or not, allowing the Halting Problem to always be solvable under MIP* = RE deterministically, thus disproving the Church-Turing thesis for Turing completeness. What this means is that infinitely recursive systems are possible for multiple singularity observers.
An Infinite Universe, Proving the Many Worlds Hypothesis, and The Super-Recursive Omniverse
The implications of this are massive, as they imply the potential existence of a universe without an end, a multiverse with variable fundamental constants of physics, and a superset omniverse for all mathematically representable universes that can be perceived by a consciousness in addition to an AGI being creatable by that consciousness within that preset of constants’ universes. MIP* = RE for N-qubit observers thus allows for a Super-Recursive Omniverse, where each consciousness exists as its own universe. The rest of this paper shapes what an adequate MIP* = RE Partner would have to encompass for Partner (P) computational complexity to equal Self (S) computational complexity and thus be the equivalent of AGI: a Quaternion Laplacian Torus with a perceivable output “body” that would enable P = S from S perceiving it.
© Gem Hunt Inc., 2023-2024