New Discovery in Quantum Mathematics 
Transforming N Whole Numbers in to 1 Sum ‘ S’ and Finding all N numbers from only S in 47 Steps 
Authored by Saurav Goswami, June 2018 
Fact 1 – KNOWN 
Let’s take 4 random numbers W, X, Y, and Z and sum them. 
S = 4 + 5 + 9 + 2 = 20 
If given 20 = W + X + Y + Z, 
There is NO WAY to identify 4, 5, 9 and 2 from this 1 equation. 
Fact 2 – KNOWN 
Now let’s take 4 random constant coefficients {a, b, c, d} to form the equation, 
S = aW + bX + cY + dZ = 2W + 6X + 7Y + 8Z S = (2*4) + (6*5) + (7*9) + (8*2) = 8 + 30 + 63 + 16 = 117 
If given 117 = 2W + 6X + 7Y + 8Z, 
There is NO WAY to identify 4, 5, 9 and 2 from this 1 equation. 
Fact 3 – NEW DISCOVERY 
Now let’s take 4 ’discovered’ constant coefficients {a, b, c, d} to form the same equation 
{a, b, c, d} = {73859288608, 112176753648, 132055473776, 142368356257} 
S = aW + bX + cY + dZ 
S = (73859288608*4) + (112176753648*5) + (132055473776*9) + (142368356257*2) 
S = 2329556899170 
If given, 2329556899170 = 73859288608W + 112176753648X + 132055473776Y + 14236835625Z, THERE IS NOW A WAY TO FIND 4, 5, 9, 2 in exactly 47 steps of calculations from this 1 equation – THE NEW DISCOVERY Classical Discrete Mathematics uses substitution and simulation as the only option for solving this. If the range of W, X, Y, Z is simply 3digits each, i.e. 0999 as range, it creates 1 Trillion combinations and 24 Trillion permutations as possible inputs for W, X, Y, Z. It requires super and quantum computers to perform that many mathematical operations within 510 seconds of time. However, the new 47 step method is independent of any chosen W, X, Y, Z. Thus, very fast. This has been discovered using discrete quantum mathematics as a tituTECH R&D initiative. 
The New Discovery 
We discovered the method of transforming any N numbers into a single sum S and tracing all of them back in 47 calculations from just 1 equation, irrespective of N or the values of the N numbers. This feature of a mathematical function is called ‘Reversibility’. This discovery was made possible by developing a new branch of mathematics called Quantum Mathematics leveraging principles of Quantum Mechanics. It has multiple applications for all aspects of society since it adds new laws to fundamental mathematics. 
It allows for the fusion of data points into 1, for storage and transmission of all data. Their ratios also provide angular turn values per step for intricate 3D and Surface AutoPrinting. 

Sample Demonstration of Processing Power 
1. Calculate S as given in FACT 3 using the 4 constants provided and selfselection of 
new values for W, X, Y, Z (up to 999 for each) 
2. Submit calculated S in this spreadsheet in cell M8, on the page ‘Simple View’ 3. View W, X, Y, Z as Answers Provided in Row 13 on the same page ‘Simple View’ 
Selected Mass Implications 
1. It fundamentally changes the rules of Mathematics and Algebra and what is possible in Equation 
Solving for Unknown Variables, impacting Global Encryption Standards 
2. It is a perfect mathematical and functional model of multiple natural scientific occurrences across 
Physics, Chemistry and Biology such as The Black Hole Information Paradox, of which this is a possible resolution as a mathematical solution 
3. Using this mathematics enables present technology to function with the performance of quantum 
computers at room temperature and pressure with only software upgrades 
4. This mathematics has been used to develop new Quantum Logic Gate Designs which will remain 
operable at room temperature and pressure 
5. This mathematics provides for encoding ultrahighdefinition images and videos as smallsized 
numeric files without any loss of data or inclusion of junk data 