# God (programmer)

**Is God a Programmer; a deep-universe simulation hypothesis at the Planck scale**

The simulation hypothesis or simulation theory is the proposal that all of reality, including the Earth and the rest of the universe, could in fact be an artificial simulation, such as a computer simulation. Neil deGrasse Tyson put the odds at 50-50 that our entire existence is a program on someone else’s hard drive ^{[1]}. David Chalmers noted “We in this universe can create simulated worlds and there’s nothing remotely spooky about that. Our creator isn’t especially spooky, it’s just some teenage hacker in the next universe up. Turn the tables, and we are essentially gods over our own computer creations ^{[2]} ^{[3]} ^{[4]}.

The commonly postulated ancestor simulation approach, which Nick Bostrom called "the simulation argument", argues for "high-fidelity" simulations of ancestral life that would be indistinguishable from reality to the simulated ancestor. However this simulation variant can be traced back to an 'organic base reality' (the original programmer ancestors and their physical planet). The Programmer God hypothesis^{[5]} conversely states that the simulation began with the big bang (the deep universe simulation) and was programmed by an external intelligence (external to the physical universe), the Programmer by definition a God in the creator of the universe context. Our universe in its entirety, down to the smallest detail, is within the simulation ^{[6]}.

## Philosophy[edit | edit source]

### Discussion[edit | edit source]

Philosophy of mathematics is that branch of philosophy which attempts to answer questions such as: ‘why is mathematics useful in describing nature?’, ‘in which sense, if any, do mathematical entities such as numbers exist?’ and ‘why and how are mathematical statements true?’ This reasoning comes about when we realize (through thought and experimentation) how the behavior of Nature follows mathematics to an extremely high degree of accuracy. The deeper we probe the laws of Nature, the more the physical world disappears and becomes a world of pure math. Mathematical realism holds that mathematical entities exist independently of the human mind. We do not invent mathematics, but rather discover it. Triangles, for example, are real entities that have an existence ^{[7]}.

The Mathematical universe hypothesis states that *Our external physical reality is a mathematical structure*.^{[8]} That is, the physical universe is not merely *described by* mathematics, but *is* mathematics (specifically, a mathematical structure).

The principle constraints to any mathematical universe simulation hypothesis are;

1. the computational resources required. The ancestor simulation can resolve this by adapting from the virtual reality approach where only the observable region is simulated and only to the degree required, and

2. that any 'self-aware structures' (humans for example) within the simulation must "subjectively perceive themselves as existing in a physically 'real' world".^{[9]}. Succinctly, our computer games may be able to simulate our physical world, but they are still only simulations of a physical reality (regardless of how realistic they may seem) ... we are not yet able to program the physical dimensions of mass, space and time from mathematical structures.

### Deep-universe simulation[edit | edit source]

As a deep-universe simulation is programmed by an external (external to the universe) intelligence (the Programmer God hypothesis), we cannot presume a priori knowledge regarding the simulation source code other than from this code the laws of physics could emerge, and so any deep-universe simulation model we emulate must be universal, i.e.: independent of any system of units, of the dimensioned physical constants (G, c, h, e .. ) and of any numbering systems. Furthermore, although a deep-universe simulation source code may use mathematical forms we are familiar with, it will have been developed by a non-human intelligence and so we may have to develop new mathematical tools to decipher the underlying logic. By implication therefore, any theoretical basis for a source code that fits the above criteria (that uses techniques that we are not cognizance of) could be construed as our first tangible evidence of a non-human intelligence.

### Planck scale[edit | edit source]

The Planck scale refers to the magnitudes of space, time, energy and other units, below which (or beyond which) the predictions of the Standard Model, quantum field theory and general relativity are no longer reconcilable, and quantum effects of gravity are expected to dominate (quantum gravitational effects only appear at length scales near the Planck scale). Although particles may not be cognizance of our 'laws of physics', they do know the 'laws of nature'. These laws of nature, in a simulation model, would describe the universe OS (operating system), and so below this OS, 'physics' as we know it must necessarily break down. At present the Planck scale is the lowest known level, consequently any attempt to detect evidence of an underlying simulation coding must consider (if not actually begin at) this, the Planck scale^{[10]}.

### Dimensioned quantities[edit | edit source]

A physical constant is a physical quantity that is generally believed to be both universal in nature and have a constant value in time. These can be divided into 1) dimension-ed (measured using physical units kg, m, s, A ...) such as the speed of light *c*, gravitational constant *G*, Planck constant *h* ... and 2) dimension-less (units = 1), such as the fine structure constant *α*.

There are also dimension-less mathematical constants such as pi. The mathematical constant is a number that can occur within the simulation, pi for example can emerge from the rotation of an object. The fundamental physical constant conversely is a parameter specifically chosen by the programmer and encoded into the simulation code directly and so whilst it may be inferable, it is not derived from mathematical constants (Richard Feynman on the fine structure constant). It should also be dimension-less otherwise the simulation itself becomes dimensioned, and so the dimensioned constants themselves must be derivable (from within the simulation).

Physicist Lev Okun noted "Theoretical equations describing the physical world deal with dimensionless quantities and their
solutions depend on dimensionless fundamental parameters. But experiments, from which these theories are extracted and by which they could be tested, involve measurements, i.e. comparisons with standard dimension-ful scales. Without standard dimension-ful units and
hence without certain conventions physics is unthinkable ^{[11]}. The SI units for the dimension-ful mksa units are; meter (length), kilogram (mass), second (time), ampere (electric current).

As physics is dependent on dimension-ful units, physics as a science is the observation of underlying patterns generated (from within the simulation) by the OS (laws of nature), and as physics can experimentally measure down to the quantum level, the universe OS must operate at a much lower level (just as our computer programs run at a higher level to the OS). The best candidate at present for this level (the level at which the mathematical laws of nature operate), is the Planck level, the corresponding Planck units are Planck length, Planck mass, Planck time, Planck charge.

### Avatars[edit | edit source]

Video games project our 3-D space onto a 2-D screen with the users manipulating the game as external observers. The VR helmet is an attempt to place the user within the simulation (within a 3-D space) but it is still a projection onto a 2-D screen and so is limited by the mobility of the operator (via a haptic suit) and thus not suitable for interactive games if the terrain of the game is limited by the terrain of the operator. An avatar could be placed within a 3-D simulation, however the problem of haptic suit mobility remains.

However, if the avatar is programmed to closely resemble the operator, then the avatar may autonomously represent the operator from within the game. For example, avatars could be programmed to play tennis with the skill level of their operators, realistic virtual tournaments can then be arranged within a 3-D simulation between operators via avatars. In a Game of Life scenario, the avatars could be programmed to achieve certain goals ('Purpose') via experience and learning.

### Purpose[edit | edit source]

Any simulated universe, whether a simple computer game or NASA program, may presume a 'Purpose', that the simulation, being the result of an 'intelligent design', is intended for an 'intelligent reason' (intent). If ours is a simulated universe then we cannot judge the motives of the Programmer God, however in theological texts we do find a common thread and that is the battle between Good and Evil and so this may be taken as an example 'Purpose'.

Zoroastrianism is one of the world's oldest continuously practiced religions. It is a multi-faceted faith centered on a dualistic cosmology of good and evil and an eschatology predicting the ultimate conquest of evil. The opening chapters of the Book of Genesis provide a mythic history of the infiltration of evil into the world. God places the first man and woman (Adam and Eve) in his Garden of Eden, from whence they are expelled.

In the context of the above, this becomes a multi-layered Game in which Evil is given dominion over the physical 3-D world and Good dominion over the spiritual realm ^{[12]}, the battle between these worlds played out within mankind as both an internal and external struggle ^{[13]}. To account for suffering and misery as an integral construct to the Game, we could consider the earth as analogous to a meta-verse prison. For example, an avatar could be tasked (unknowingly) with self-rehabilitation on earth as the means to complete a prison sentence, upon which their 'real' self is then set free in the 'real' world ^{[14]}.

### Scientific evidence[edit | edit source]

“Science presumes the fundamental physical constants (G,h,c,e,m_{e},k_{B}, ...) are fundamental, but this requires the dimensioned units (kg,m,s,A... ) to be independent of each other, the simulation hypothesis however requires that these units can overlap and cancel, for the universe itself does not exist outside of the 'Computer'. Evidence of a relationship between these units could therefore be construed as evidence of a simulation.”^{[15]}

At our level, and at the quantum level, the dimensions of mass, length (distance), time and charge (amperes), represented by such units as *kilograms*, *pounds*, *meters*, *miles*, *seconds* … etc. are independent of each other (we cannot measure the distance from Tokyo to London using pounds or kilograms or amperes). The units appear to be distinct (mass cannot be confused with length or time), the independence of these units then becoming an inviolable rule, as every high school science student can attest (the units must always add up!). Indeed, what characterizes a physical universe as opposed to a simulated universe is the notion that there is a fundamental structure underneath, that in some sense mass is, time is and space is … thus we cannot write *kg* or *s* in terms of *m*. To do so would totally render our concepts of a physical mass, space and time meaningless. A simulation universe however is required to be (in sum total) unit-less (units = 1), for the simulated universe does not 'exist' in any physical sense outside of the 'Computer'.

Evidence therefore that the units do overlap and in certain combinations cancel, rendering our sum universe unit-less, could therefore be construed as evidence that we are in a deep-universe (Programmer God) simulation. An anomaly that appears to link the fundamental physical constants (*G*, *h*, *c*, *e*, *m*_{e}, *k*_{B}) via a mathematical relationship between the units (*kg* = 15, *m* = -13, *s* = -30, *A* = 3) has been offered as evidence that we are in a simulation ^{[16]}.

## Programming[edit | edit source]

“God vs. science debates tend to be restricted to the premise that a God does not rely on science and that science does not need a God. As science and God are thus seen as mutually exclusive there are few, if any, serious attempts to construct mathematical models of a universe whose principle axiom does require a God. However, if there is an Intelligence responsible for the 14 billion year old universe of modern physics, being the universe of Einstein and Dirac, and beginning with the big bang as the act of 'creation', then we must ask how it might be done? What construction technique could have been used to set the laws of physics in motion?”^{[17]}

### Numbering systems[edit | edit source]

As well as our decimal system, computers apply binary and hexadecimal numbering systems. In particular the decimal and hexadecimal are of terrestrial origin and may not be considered 'universal'. Furthermore numbering systems measure only the frequency of an event and contain no information as to the event itself. The number 299 792 458 could refer to the speed of light (299 792 458 m/s) or could equally be referring to the number of apples in a container (299 792 458 apples). As such, numbers require a 'descriptive', whether m/s or apples. Numbers also do not include their history, is 299 792 458 for example a derivation of other base numbers?

Present universe simulations use the laws of physics and the physical constants are built in, however both these laws and the physical constants are known only to a limited precision, and so a simulation with 10^{62} iterations (the present age of the universe in units of Planck time) will accumulate errors. Number based computing may be sufficient for ancestor-simulation models where only the observed region needs to be calculated, but has inherent limitations for deep universe simulations where the entire universe is continuously updated. The actual computational requirements for a Planck scale universe simulation based on a numbering system with the laws of physics embedded would be an unknown and consequently lead to an 'non-testable' hypothesis. This is a commonly applied reasoning for rejecting the deep universe simulation.

### Geometrical objects[edit | edit source]

A number such as pi refers to a geometrical construct (the ratio of circle circumference to circle radius) and so is not constrained by any particular numbering system (in the decimal system π = 3.14159...), and so may be considered both universal and eternal. Likewise, by assigning geometrical objects instead of numbers to the Planck units, the problems with a numbering system can be resolved. These objects would however have to fulfill the following conditions, for example the object for length must;

1. embed the function of *length* such that a descriptive (km, mile ... ) is not required.

Electron wavelength would then be measurable in terms of the length object, as such the length object must be embedded within the electron (the electron object). Although the mass object would incorporate the function *mass*, the time object the function *time* ..., it is not necessary that there be an individual physical mass or physical length or physical time ..., but only that in relation to the other units, the object must express that function (i.e.: the mass object has the function of mass when in the presence of the objects for space and time). The electron would then be a complex event (complex geometrical object) constructed by combining the objects for mass, length, time and charge into 1 event, and thus electron charge, wavelength, frequency and mass would be different aspects of that 1 geometry (the electron event) and not independent parameters (independent of each other).

The objects for mass, length, time and charge must therefore

2. be able to combine with other objects (for mass, time, charge ...) to form more complex objects (events) such as electrons and apples whilst still retaining the underlying information (the individual objects that combined to form that event).

3. combine in such a ratio that they cancel whereby the sum universe, the simulation itself, being a mathematical universe, is unit-less. While internally the universe has measurable units, externally (seen from outside the simulation) the universe has no physical structure.

Not only must these objects be able to form complex events such as particles, but these events themselves are geometrical objects and so must likewise function according to their geometries. Electrons would orbit protons according to their respective electron and proton geometries, these orbits the result of geometrical imperatives and not due to any built-in laws of physics (the electron does not need to know physics, the orbital path is a consequence of all the underlying geometries). However, as orbits follow regular and repeating patterns, they can be described (by us) using mathematical formulas. As the events grow in complexity (from atoms to molecules to planets), so too will the patterns (and the formulas we use to describe them). Consequently the *laws of physics* would then become our mathematical descriptions of the underlying geometrically imposed patterns. The computational problem could thus be alleviated by instituting a geometrically autonomous universe.

Furthermore, as the sum universe is unit-less, there is no limit to the number of (mass, time, length ...) objects (aka the information content of the universe), other than the capacity of the celestial hard disk upon which the simulation resides. If the 'Programmer' can determine appropriate geometrical objects that satisfy the above and also include a mechanism for the addition of further objects, then a universe could 'grow' accordingly.

There is a caveat; self aware structures within the simulation will perceive a physical mass, space and time as forming their physical reality, in our universe therefore, these mathematical objects must be indistinguishable from our observed physical reality.

### Simulation Time[edit | edit source]

The (dimensionless) simulation clock-rate would be defined as the minimum 'time variable' (**age**) increment to the simulation. It may be that Gods use analog computers, but as an example;

'begin simulation FOR age = 1 TO the_end 'big bang = 1 conduct certain processes ........ NEXT age 'end simulation

Quantum spacetime and Quantum gravity models refer to Planck time as the smallest discrete unit of time and so the incrementing variable **age** could be used to generate units of Planck time (and other Planck units, the physical scaffolding of the universe), for example;

Initialize_physical_constants; FOR age = 1 TO the_end 'age is a dimensionless variable generate 1 unit of Planck time; '1 time object generate 1 unit of Planck mass; '1 mass object generate 1 unit of Planck length; '1 length object ........ NEXT age

The variable *age* is the simulation clock-rate (the universe age). If *age* is the origin of Planck time then *age* = 10^{62}, the present age of the universe measured in units of Planck time.

For each *age*, certain operations are performed, only after they are finished does *age* increment (there is no 'time' interval between increments). As *age* is dimensionless, it is not the same as dimensioned Planck time (which is a geometrical object). Although operations (between increments) may be extensive, self-aware structures from within the simulation would have no means to determine this, they could only perceive themselves as being in a real-time. Their dimension of time would be a measure of relative motion (a change of state) and so although ultimately deriving from the variable *age*, their time would not be the same as *age*. If there were no motion, if all particles and photons were still (no change of state), then their time dimension could not update, *age* however would continue to increment. The analogy being pressing the pause button on a movie, this would not affect the computer clock-rate itself. Thus we have 3 time structures; the dimension-less simulation clock-rate variable *age*, the physical time unit (Planck time object), and time as change of state (the observers time dimension).

#### Expanding universe[edit | edit source]

By thus adding units of mass, space and time with each increment to the simulation *age*, the universe would grow in size and mass accordingly. As the universe expands in size per increment to *age*, this expansion could also be used to 'pull' particles with it thus introducing momentum (particle motion). The expansion of the observable universe would not be the same as this expansion, although it would be driven by this expansion.

The velocity of expansion would be the maximum attainable velocity and so the origin of the speed of light *c* (to go faster than this velocity would mean leaving the simulation itself), thus both the velocity of expansion (and so *c*) and the incrementing variable *age* (and so Planck time) are constants.

The forward increment to *age* would constitute the arrow of time. Reversing this would reverse the arrow of time, the universe would likewise shrink in size and mass accordingly (a white hole is the (time) reversal of a black hole).

FOR age = the_end TO 1 STEP -1 delete 1 unit of Planck time; delete 1 unit of Planck mass; delete 1 unit of Planck length; ........ NEXT age

#### Universe time-line[edit | edit source]

As the universe expands and if the data storage capacity expands proportionately, then the 'past' could be retained.

FOR age = 1 TO the_end ........ FOR n = 1 TO total_number_of_particles ......... SAVE particle_details{age, particle(n)} NEXT n NEXT age

Because particles are pulled along by this expansion, which has the effect of increasing simulation data storage capacity accordingly, previous information will not be over-written by new information. The analogy would be the storing of every keystroke. This also forms a universe **time-line** against which previous information can be compared with new information (a 'memory' of events).

#### Time travel[edit | edit source]

If the simulation data is stored in entirety (a Planck scale version of the Akashic records), the simulation can be replayed. We could even speculate that if mankind made a bad 'move', such as initiating a nuclear war, it may be possible to rewind the simulation clock back to a period prior to that move and continue from there (as we can do when playing chess against a computer). All future events from that point in time would then be over-written. Time-travel (travelling backwards in time) for an individual may not be possible but for the entire universe it is simply time reversal.

### Singularity[edit | edit source]

In a simulation, the data (software) requires a storage device that is ultimately hardware (RAM, HD ...). In a data world of 1's and 0's such as a computer game, characters within that game may analyze other parts of their 1's and 0's game, but they have no means to analyze the hard disk upon which they (and their game) are stored, for the hard disk is an electro-mechanical device, is not part of their 1's and 0's world, it is a part of the 'real world', the world of the Programmer. Furthermore the rules programmed into their game would constitute for them the laws of physics (the laws by which their game operates), but these may or may not resemble the laws that operate in the 'real world'. Thus any region where the laws of physics (the laws of the game world) break down would be significant. A singularity inside a black hole is such a region.

For the black-hole electron, the mass point-state would then be analogous to a storage address on a hard disk, the interface between the simulation world and the real world, a massive black-hole as a data sector.

The surface of the black-hole would then be of the simulation world, the size of the black hole surface reflecting the stored information, the interior of the black-hole however would be the interface between the data world and the 'hard disk' of the real world, and so would not exist in any 'physical' terms. It is external to the simulation. As analogy, we may discuss the 3-D surface area of a black-hole but not its volume (interior).

### Laws of Physics[edit | edit source]

The scientific method is built upon testable hypothesis and reproducible results. Water always boils (in defined conditions), at 100°C. In a geometrical universe particles behave according to geometrical imperatives, the geometry of the electron and proton ensuring that electrons will orbit nuclei in repeating and predictable patterns. The laws of physics would then be a set of mathematical formulas that describe these patterns, the more complex the orbits, the more complex the formulas required to describe them and so forth. However if there is a source code from which these geometrical conditions were programmed, then there may also be non-repeating events, back-doors built into the code (a common practice by terrestrial programmers), these by definition would lie outside the laws of physics and so be labelled as miracles, yet they would be no less valid.

### Determinism[edit | edit source]

Particles form more complex structures such as atoms and molecules via a system of orbitals; nuclear, atomic and gravitational. The 3-body problem is the problem of taking the initial positions and velocities (or momenta |momentum|momenta) of three or more point masses and solving for their subsequent motion according to Newton's laws of motion and Newton's law of universal gravitation.^{[19]}. Simply put, this means that although a simulation using gravitational orbitals of similar mass may have a pre-determined outcome, it seems that for gods and men alike the only way to know what that outcome will be is to run the simulation itself.

### Mathematical Universe[edit | edit source]

The mathematical universe refers to universe models whose underlying premise is that the physical universe has a mathematical origin, the physical (particle) universe is a construct of the mathematical universe, and as such physical reality is a perceived reality. It can be considered a form of Pythagoreanism or Platonism in that it proposes the existence of *mathematical objects*; and a form of mathematical monism in that it denies that anything exists except these *mathematical objects*.

Physicist Max Tegmark in his book "Our Mathematical Universe: My Quest for the Ultimate Nature of Reality"^{[20]}^{[21]} proposed that *Our external physical reality is a mathematical structure*.^{[22]} That is, the physical universe is not merely *described by* mathematics, but *is* mathematics (specifically, a mathematical structure). Mathematical existence equals physical existence, and all structures that exist mathematically exist physically as well. Any "self-aware substructures will subjectively perceive themselves as existing in a physically 'real' world".^{[23]}

## Physics[edit | edit source]

Physicist Eugene Wigner (The Unreasonable Effectiveness of Mathematics in the Natural Sciences) ^{[24]}

The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve.

The following illustrates how a geometrical approach to a Planck scale deep universe simulation could be implemented ^{[25]}.

### Mass, length, time, charge[edit | edit source]

*The biggest problem with any mathematical universe approach is constructing a physical reality (the physical dimensions of mass, space and time) from mathematical structures. Our computer games may be able to simulate our physical world, but they are still simulations of a physical reality. The 1999 film The Matrix and the ancestor simulation both still begin with a physical level (a base reality), the planet earth. Here we look at the theory behind constructing physical units from mathematical structures*.

We can assign geometrical objects to the primary units mass **M**, length **L**, time **T**, ampere **A**. However for a simulated universe to be unit-less, the units must be able to cancel within a certain ratio such that in sum total there is no physical universe (when seen from outside the simulation, the universe is merely a data set on a celestial hard-drive). In the following table are illustrated objects **MTLA** in terms of 2 dimensionless physical constants; the fine structure constant **α** and Omega **Ω**, and to fulfill the above condition, a set of mathematical relationships (**u ^{n}**) between them

^{[26]}.

These objects correspond to the Planck units, and so by replacing the unit relationship **u**^{n} with its SI equivalent (i.e.: u^{15} -> kg), these geometrical mass, length, time and charge objects can be interchangeable with (and will be indistinguishable from) the 'physical' Planck mass, length, time and charge units. As these are geometrical objects, we can also use them to build more complex objects. The energy object for example is M*L^{2}/T^{2}. The electron object is shown below. Thus we may have dimension-ful units from within the simulation, yet still maintain a dimensionless universe externally.

Attribute | Geometrical object | Unit relationship |
---|---|---|

mass | ||

time | ||

length | ||

velocity | ||

ampere |

The unit relationships show how these units interrelate to each other. In a particular ratio they will overlap and cancel, for example, here (amperes, length, time) and (mass, length and time) ratios cancel;

### Mathematical electron[edit | edit source]

*If the electron is a mathematical particle, and the universe is constructed from electrons, then the universe is a mathematical universe*

We can use the above ratio to construct our 'mathematical electron' formula; **f _{e}** (AL as an ampere-meter are the units for a magnetic monopole).

In order to give the electron its dimensioned (measurable) parameters; electron mass, wavelength, frequency, charge ... the geometry of the mathematical electron (the electron 'event' ) will include the MLTA (mass, length, time, charge) objects, this electron 'event' dictating how these objects are arranged into those dimensioned electron parameters. The electron itself is then equivalent to a programming sub-routine, does not have dimension units of its own (there is no physical electron), it is a geometrical formula that encodes the MLTA information required to implement those electron parameters.

- , units = 1

electron mass (M = Planck mass)

electron wavelength (L = Planck length)

Embedded within the function **f _{e}** are the objects

**ALT**. The

**AL**magnetic monopoles confer the electric properties of the electron and also determine the duration of the electron frequency component (0.2389 x 10

^{23}units of

**age**). At the conclusion of this electric state duration (0.2389 x 10

^{23}units of

**age**), the

**AL**units intersect with time

**T**, the units then collapse (units

**(A*L)**= 1), exposing a unit of

^{3}/T**M**(Planck mass) for 1 unit of

**age**, which we could define as the

*mass point-state*. This would be the electron center.

This mass state, as a single 'point', can have assigned co-ordinates within the universe super-structure. Wave-particle duality at the Planck level can then be simulated as an oscillation between the electric (magnetic monopole) *wave-state* (the duration dictated by the particle formula) to this unitary mass *point-state*. In the formula *E = hv*, *h* (Planck's constant) refers to the wave-state, with the *v* term referring to the frequency of occurrence of *h* (per second). Conversely *E = mc2* refers to the point-state, and as there is 1 wave-state per 1 point-state, *hv = mc2*. The *m* of physics however refers to mass as a constant property of the particle whereas here particle mass has a frequency component (it is a measure of the frequency of occurrence of the mass point-state over time) and so particle mass becomes average particle mass (point mass per second).

By this artifice, although the 'physical' mass, space, time universe is constructed from particles, particles themselves are not physical, they are mathematical and when summed, the mass, length, time, charge units cancel. Thus we may construct a physical universe from within a mathematical framework^{[27]}.

### Null universe[edit | edit source]

*We next need to construct a scaffolding for our particles*

If the universe expands per increment of **age** by adding units of mass, length, time and charge, and if these units overlap and cancel, then the sum universe is unit-less. This also means that to make the object time **T**, we must also make an equivalent of **MLA** to balance this ratio, and so to create time T, the time required to read this sentence for example, the universe has to grow larger (add space L^{3}) and more massive (add mass M). Likewise, if time went backward the universe would have to shrink in size and mass. But regardless of the age of the universe, if we combine all the mass, space and time within, the universe would disappear (units = 1). Seen from the outside, there is no universe.

### Relativistic universe[edit | edit source]

*The simulation clock can give us the expansion of the universe in size and mass via these Planck objects. A 14 billion year old universe would put *age* = 10 ^{62}. This expansion can also be used to introduce motion (particle momentum) by pulling particles with it, the problem however is that this expansion occurs at the speed of light (*c

*= 1 unit of Planck length per 1 unit of Planck time), and so we need to provide a reference for our surroundings (if everything is moving away from us at the speed of light). One solution is for an expanding 4-axis hyper-sphere universe to project onto a fixed 3-D (Newtonian) background using the mathematics of perspective. This can be achieved using the electromagnetic spectrum*.

The mathematics of perspective is a technique used to project a 3-D image onto a 2-D screen (i.e.: a photograph or a landscape painting), using the same approach here would implement a 4-axis expanding hypersphere super-structure in which 3-D space is the projection ^{[28]}.

The expanding hyper-sphere can be used to replace independent particle motion (momentum) with motion as a function of the expansion itself, as the universe expands, it pulls all particles along with it. In the mass point-state, the particle can be assigned defined co-ordinates in the hyper-sphere and so all particles simultaneously in the point-state per unit of **age** may then be measured relative to each other. As photons (the electromagnetic spectrum) have no mass state, they cannot be pulled along by the universe expansion (consequently they are date stamped, as it takes 8 minutes for a photon to travel from the sun, that photon is 8 minutes old when it reaches us) and so photons would be restricted to a lateral motion within the hyper-sphere. As the electromagnetic spectrum is the principal source of information regarding the environment, a 3-D relative space would be observed (as a projected image from within the 4-axis hyper-sphere), the relativity formulas can then be used to translate between the hyper-sphere co-ordinates and 3-D space co-ordinates ^{[29]}.

In hyper-sphere co-ordinate terms; **age** (the simulation clock-rate), and velocity (the velocity of expansion as the origin of **c**) would be constants and thus all particles and objects would travel at, and only at, *V = c*, however in 3-D space co-ordinate terms, time and motion would be relative to the observer. The time dimension of the observer measures the change in state = change of information = change in relative position of particles in respect to each other and thus derives from, but is not the same as, the expansion clock-rate **age** or object time **T**, for in the absence of motion there is no means for the observer to measure either, the dimensionless **age** variable however would continue to increment (the universe hyper-sphere would continue to expand at the speed of light).

### Gravitational orbitals[edit | edit source]

*Although we can accurately predict the motion of planetary bodies in space using our gravity models, these are not suitable when we have to include the influence of grains of sand blowing in the wind or waves crashing onto a rocky beach as a deep simulation must do in real time. A solution is to form dimensionless rotating particle to particle orbital pairs at the Planck scale, each rotating according to the orbital radius, the planetary orbits emerging naturally as the averaging over time of these underlying rotating orbitals. For example, using this approach, it would not be necessary to have any information regarding the earth and the moon, their relative masses, their (constantly changing) barycenter, or any dimensioned constants, for the orbit to be plotted in real (universe) time down to the particle level.*

All particles simultaneously in the point-state at any unit of **age** form gravitational orbital pairs with each other ^{[30]}. For each increment to *age*, these orbital pairs then rotate by a specific angle depending on the radius of the orbital to travel 1 unit of Planck length. The results are then summed and averaged and so the entire universe can be updated in real time (before the next increment to *age*). The observed gravitational orbits of planets are the sum of these (n-body) orbital pairs averaged over time. Thus it is in principle not necessary to have direct information regarding the orbiting objects in order to derive their respective orbits.

FOR age = 1 TO the_end 'gravitational orbits via orbitals FOR n = 1 TO total_number_of_particles IF particle{n}_is_in_the_point_state form_an_orbital_with_all_other_point_state_particles rotate_orbital_1_Planck_length END IF sum_and_average_all_coordinates NEXT n NEXT age

Orbits, being also driven by the universe expansion, occur at the speed of light, however if the orbit along the expansion time-line is not noted by the observer, who instead relies on the electromagnetic spectrum, then the orbital period will be measured in terms of 3D space co-ordinates.

### Atomic orbitals[edit | edit source]

As atomic orbitals also involve 2 particles rotating, they can be treated as modified gravitational orbitals. If the orbital itself is a 'physical' unit of momentum, akin to a photon, albeit of inverse phase, then when the photon strikes the atom, it will impact the orbital, not the particle, resulting in a lengthening or shortening of the orbital radius in the process. Electron transition between orbitals can then be mapped as a modification of the orbital (change in orbital radius) in discrete steps according to the wavelength of the incoming photon (which is absorbed or ejected by the orbital), the electron itself is not directly involved ^{[31]}.

## External links[edit | edit source]

- Programming Planck units as geometrical objects
- The mathematical electron
- Programming relativity at the Planck scale
- Programming gravity at the Planck level
- Programming the cosmic microwave background at the Planck level
- The sqrt of Planck momentum
- The Programmer God, Are We in a Computer Simulation (Book)
- Programming at the Planck scale using geometrical objects -Malcolm Macleod's website
- Simulation Argument -Nick Bostrom's website
- Our Mathematical Universe: My Quest for the Ultimate Nature of Reality -Max Tegmark (Book)
- Dirac-Kerr-Newman black-hole electron -Alexander Burinskii (article)
- The Matrix, (1999)
- Pythagoras "all is number" - Stanford University
- Simulation Hypothesis
- Mathematical universe hypothesis
- Philosophy of mathematics
- Philosophy of physics
- Platonism
- Simulation theory as evidence for God (academic peer-reviewed article)

## References[edit | edit source]

- ↑ Are We Living in a Computer Simulation? https://www.scientificamerican.com/article/are-we-living-in-a-computer-simulation/
- ↑ https://www.youtube.com/watch?v=yqbS5qJU8PA, David Chalmers, Serious Science
- ↑ The Matrix as Metaphysics, David Chalmers http://consc.net/papers/matrix.pdf
- ↑ Are We Living in a Computer Simulation?https://www.scientificamerican.com/article/are-we-living-in-a-computer-simulation/
- ↑ The Programmer God, Are We in a Computer Simulation (Malcolm Macleod, 2003-2022)
- ↑ "A Planck scale (Programmer God) Simulation Hypothesis via a mathematical electron (overview)".
*SSRN*. Feb 2011. doi:doi.org/10.2139/ssrn.2531429. - ↑ - http://plato.stanford.edu/entries/platonism-mathematics/
- ↑ Tegmark, Max (February 2008). "The Mathematical Universe".
*Foundations of Physics***38**(2): 101–150. doi:10.1007/s10701-007-9186-9. - ↑ Tegmark (1998), p. 1.
- ↑ Planck scale, Brian Greene; "[1]"
- ↑ Michael J. Duff et al, Journal of High Energy Physics, Volume 2002, JHEP03(2002)
- ↑ New Testament Matthew 4:8-9
- ↑ The Great Game
- ↑ https://www.wga.org/ Life Sentence, WGA #2126049
- ↑ Is this anomaly in the fundamental physical constants proof we are in a simulation?
- ↑ Macleod, Malcolm J. "Do the fundamental constants embed evidence of a mathematical universe at the Planck scale?".
*RG*. doi:10.13140/RG.2.2.15874.15041/1. - ↑ The Programmer God, Are We in a Computer Simulation (Malcolm Macleod, 2003-2022)
- ↑ Here the gravitational constant
*G*has been set to 1, and the initial conditions are**r**_{1}(0) = −**r**_{3}(0) = (−0.97000436, 0.24308753);**r**_{2}(0) = (0,0);**v**_{1}(0) =**v**_{3}(0) = (0.4662036850, 0.4323657300);**v**_{2}(0) = (−0.93240737, −0.86473146). The values are obtained from Chenciner & Montgomery (2000). - ↑ Barrow-Green, June (2008), "The Three-Body Problem", in Gowers, Timothy; Barrow-Green, June; Leader, Imre (eds.),
*The Princeton Companion to Mathematics*, Princeton University Press, pp. 726–728 - ↑ Tegmark, Max (November 1998). "Is "the Theory of Everything" Merely the Ultimate Ensemble Theory?".
*Annals of Physics***270**(1): 1–51. doi:10.1006/aphy.1998.5855. - ↑ M. Tegmark 2014, "Our Mathematical Universe", Knopf
- ↑ Tegmark, Max (February 2008). "The Mathematical Universe".
*Foundations of Physics***38**(2): 101–150. doi:10.1007/s10701-007-9186-9. - ↑ Tegmark (1998), p. 1.
- ↑ Wigner, E. P. (1960). "The unreasonable effectiveness of mathematics in the natural sciences. Richard Courant lecture in mathematical sciences delivered at New York University, May 11, 1959".
*Communications on Pure and Applied Mathematics***13**: 1–14. doi:10.1002/cpa.3160130102. - ↑ Macleod, Malcolm J.
*A Planck scale (Programmer God) Simulation Hypothesis via a mathematical electron (overview)*. doi:10.2139/ssrn.2531429. - ↑ Macleod, Malcolm J. (22 March 2018). "Programming Planck units from a mathematical electron; a Simulation Hypothesis".
*Eur. Phys. J. Plus***113**: 278. doi:10.1140/epjp/i2018-12094-x. - ↑ Programming at the Planck scale using geometrical objects
- ↑ Macleod, Malcolm J. (March 2020). "4. Programming cosmic microwave background for Planck unit Simulation Hypothesis modeling".
*RG*. doi:10.13140/RG.2.2.31308.16004/7. - ↑ Macleod, Malcolm J. (March 2020). "1. Programming relativity for Planck unit Simulation Hypothesis modeling".
*RG*. doi:10.13140/RG.2.2.18574.00326/3. - ↑ Macleod, Malcolm J. (Feb 2011). "2. Quantum gravity n-body orbitals for Planck scale simulation hypothesis".
*RG*. doi:10.13140/RG.2.2.11496.93445/12. - ↑ Macleod, Malcolm J. (Feb 2011). "4. Atomic orbitals in Planck scale simulation hypothesis".
*RG*. doi:10.13140/RG.2.2.23106.71367/2.